1 00:00:00,090 --> 00:00:02,430 The following content is provided under a Creative 2 00:00:02,430 --> 00:00:03,820 Commons license. 3 00:00:03,820 --> 00:00:06,030 Your support will help MIT OpenCourseWare 4 00:00:06,030 --> 00:00:10,120 continue to offer high-quality educational resources for free. 5 00:00:10,120 --> 00:00:12,690 To make a donation or to view additional materials 6 00:00:12,690 --> 00:00:16,620 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:16,620 --> 00:00:17,820 at ocw.mit.edu. 8 00:00:26,290 --> 00:00:29,410 ANDREW LO: These are the financial highlights of Lehman 9 00:00:29,410 --> 00:00:31,780 Brothers as of the end of 2007. 10 00:00:31,780 --> 00:00:33,430 Now, you can get more recent highlights 11 00:00:33,430 --> 00:00:35,380 from looking at their SEC filings, 12 00:00:35,380 --> 00:00:38,170 their 10-K and 10-Qs which are accounting 13 00:00:38,170 --> 00:00:41,060 reports that they provide to the SEC on a quarterly basis. 14 00:00:41,060 --> 00:00:44,710 But I just thought we'd take a look at the annual financials 15 00:00:44,710 --> 00:00:46,860 of this business. 16 00:00:46,860 --> 00:00:52,840 At the end of 2007, the net revenues for Lehman Brothers 17 00:00:52,840 --> 00:00:56,100 was $19 billion. 18 00:00:56,100 --> 00:01:01,560 This is a firm that earned $19 billion in revenues in 2007. 19 00:01:01,560 --> 00:01:04,709 We're not talking about a small little shop here. 20 00:01:04,709 --> 00:01:07,170 This is a major financial institution. 21 00:01:07,170 --> 00:01:10,770 And if you look at their profits, their net income, 22 00:01:10,770 --> 00:01:14,670 $4 billion of net income in 2007. 23 00:01:14,670 --> 00:01:20,240 And 2007 was not a great year, so $4 billion of income 24 00:01:20,240 --> 00:01:22,900 is a pretty impressive number. 25 00:01:22,900 --> 00:01:28,500 And if you look at their long-term capital, the capital 26 00:01:28,500 --> 00:01:32,140 base, we're looking at $145 billion. 27 00:01:32,140 --> 00:01:37,760 And if you take a look at their assets under management, 28 00:01:37,760 --> 00:01:46,456 the assets under management, in billions, is $282 billion 29 00:01:46,456 --> 00:01:49,830 of assets under management. 30 00:01:49,830 --> 00:01:53,780 Now, at the end of 2007, would anybody 31 00:01:53,780 --> 00:01:57,530 have forecasted that a company like this 32 00:01:57,530 --> 00:01:59,660 could be gone nine months later? 33 00:01:59,660 --> 00:02:04,370 Gone-- I mean, just obliterated. 34 00:02:04,370 --> 00:02:09,139 28,500 employees, so we're talking about major disruption 35 00:02:09,139 --> 00:02:11,090 to the New York workforce. 36 00:02:11,090 --> 00:02:13,400 A number of people are going to be looking for jobs. 37 00:02:13,400 --> 00:02:15,140 Now, a number of jobs are going to be 38 00:02:15,140 --> 00:02:19,120 created as a consequence of these dislocations. 39 00:02:19,120 --> 00:02:21,310 I'll come to that in a minute. 40 00:02:21,310 --> 00:02:24,760 But this is an extraordinary set of events. 41 00:02:24,760 --> 00:02:30,300 And one key to what's going on and why 42 00:02:30,300 --> 00:02:34,760 this might have happened is this number right here, 43 00:02:34,760 --> 00:02:37,330 the net leverage ratio. 44 00:02:37,330 --> 00:02:40,060 That net leverage ratio tells you 45 00:02:40,060 --> 00:02:46,240 something about how much exposure Lehman Brothers had 46 00:02:46,240 --> 00:02:52,240 relative to how much capital they're actually managing. 47 00:02:52,240 --> 00:02:55,120 And let me give you an example of what I mean by that. 48 00:02:55,120 --> 00:02:56,630 And I'm going to give you a personal example that we're 49 00:02:56,630 --> 00:02:57,546 going to come back to. 50 00:02:57,546 --> 00:02:59,260 We talked about mortgages last time, 51 00:02:59,260 --> 00:03:01,510 and I told you all that you now have the power 52 00:03:01,510 --> 00:03:03,710 to compute mortgage payments. 53 00:03:03,710 --> 00:03:05,950 Well, you know that a mortgage is a loan, right? 54 00:03:05,950 --> 00:03:07,450 You're borrowing money from the bank 55 00:03:07,450 --> 00:03:10,950 to buy this beautiful home that you want to live in. 56 00:03:10,950 --> 00:03:13,080 Does anybody know how much money you typically 57 00:03:13,080 --> 00:03:16,350 have to put down when you buy a home? 58 00:03:16,350 --> 00:03:16,850 Yeah. 59 00:03:16,850 --> 00:03:17,460 AUDIENCE: [INAUDIBLE] 60 00:03:17,460 --> 00:03:19,001 ANDREW LO: 20% is the typical number, 61 00:03:19,001 --> 00:03:21,820 although in recent years, it's much less than that. 62 00:03:21,820 --> 00:03:27,000 For example, when I first bought my home way back in 1988, 63 00:03:27,000 --> 00:03:30,480 my first home, when I moved here to Boston, 64 00:03:30,480 --> 00:03:34,070 I actually only had to put 5% down 65 00:03:34,070 --> 00:03:39,710 because I was able to get a jumbo loan and, in addition, 66 00:03:39,710 --> 00:03:43,610 purchase mortgage insurance so that the bank was 67 00:03:43,610 --> 00:03:48,350 willing to lend me quite a bit more than they usually would. 68 00:03:48,350 --> 00:03:50,570 Now, let's take the 20% down as the standard number 69 00:03:50,570 --> 00:03:54,320 because that is absolutely industry standard. 70 00:03:54,320 --> 00:03:59,137 If you put down 20% for, let's say, a $500,000 home-- 71 00:03:59,137 --> 00:04:01,220 which in the Boston area is a little starter home, 72 00:04:01,220 --> 00:04:02,430 I'm afraid-- 73 00:04:02,430 --> 00:04:07,390 a half a million dollar home you put down $100,000. 74 00:04:07,390 --> 00:04:10,570 And the bank lends you $400,000. 75 00:04:10,570 --> 00:04:15,130 The value of your total assets is, of course, 500,000, right? 76 00:04:15,130 --> 00:04:18,310 You've got 100,000 of your own money, 400,000 of the bank's 77 00:04:18,310 --> 00:04:21,010 money, and with that 500,000, you give it to the other party 78 00:04:21,010 --> 00:04:22,040 to buy the home. 79 00:04:22,040 --> 00:04:27,070 And now you are the happy owners of a $500,000 home. 80 00:04:27,070 --> 00:04:30,250 What kind of leverage ratio do you have in that circumstance? 81 00:04:30,250 --> 00:04:32,567 Anybody calculate that quickly? 82 00:04:32,567 --> 00:04:34,555 AUDIENCE: It's 4 to 1? 83 00:04:34,555 --> 00:04:37,390 ANDREW LO: Close, but no cigar. 84 00:04:37,390 --> 00:04:38,830 5 to 1, right? 85 00:04:38,830 --> 00:04:42,340 5 to 1 in the sense that you have five times leverage. 86 00:04:42,340 --> 00:04:43,930 Your total exposure is 500. 87 00:04:43,930 --> 00:04:45,070 You've got 100. 88 00:04:45,070 --> 00:04:46,600 It's 5 to 1. 89 00:04:46,600 --> 00:04:49,150 Now, what does that mean, 5 to 1 leverage? 90 00:04:49,150 --> 00:04:50,750 That sounds scary. 91 00:04:50,750 --> 00:04:54,460 That sounds like you are really levered up. 92 00:04:54,460 --> 00:04:59,110 Well, it's only scary if the value of the assets 93 00:04:59,110 --> 00:05:02,230 swings around a lot. 94 00:05:02,230 --> 00:05:04,720 For example, let's do a simple back-of-the-envelope 95 00:05:04,720 --> 00:05:06,290 calculation. 96 00:05:06,290 --> 00:05:11,590 Suppose house prices fall by 10%. 97 00:05:11,590 --> 00:05:13,320 That's only 10%, right? 98 00:05:13,320 --> 00:05:14,380 That's not a huge number. 99 00:05:14,380 --> 00:05:17,530 It's significant, but it's not huge. 100 00:05:17,530 --> 00:05:20,980 What's the return on your investment? 101 00:05:20,980 --> 00:05:22,780 How much have you invested in the home? 102 00:05:22,780 --> 00:05:23,530 AUDIENCE: 100,000. 103 00:05:23,530 --> 00:05:25,390 ANDREW LO: $100,000. 104 00:05:25,390 --> 00:05:28,750 If the value of the home falls by 10%, 105 00:05:28,750 --> 00:05:31,340 how much has the value of your assets fallen by? 106 00:05:31,340 --> 00:05:33,010 50,000, right? 107 00:05:33,010 --> 00:05:37,355 Of that 50,000, how much does the bank lose? 108 00:05:37,355 --> 00:05:37,980 AUDIENCE: None. 109 00:05:37,980 --> 00:05:40,450 ANDREW LO: None, right, because they've lent you money, 110 00:05:40,450 --> 00:05:42,140 and they expect you to pay it back. 111 00:05:42,140 --> 00:05:43,360 They're not equity holders. 112 00:05:43,360 --> 00:05:45,970 They're not looking to take on any downside risk. 113 00:05:45,970 --> 00:05:48,410 They just want their money back with interest. 114 00:05:48,410 --> 00:05:51,400 So the bank doesn't care what the value is. 115 00:05:51,400 --> 00:05:55,540 They still expect you to pay back the $400,000 that they 116 00:05:55,540 --> 00:05:57,200 lent you with interest. 117 00:05:57,200 --> 00:06:02,330 So that $50,000 loss, it's all yours. 118 00:06:02,330 --> 00:06:08,820 And you've put down 100,000, and you've lost 50-- 119 00:06:08,820 --> 00:06:10,980 half of your assets just got wiped out 120 00:06:10,980 --> 00:06:16,560 with only a 10% move in the value of the home. 121 00:06:16,560 --> 00:06:18,990 Now, instead of putting 20% down as a standard, what 122 00:06:18,990 --> 00:06:23,510 if you did what I did, which is you put down 5%? 123 00:06:23,510 --> 00:06:29,490 So 5% of $500,000 is $25,000, right? 124 00:06:29,490 --> 00:06:32,850 The bank lends you $475,000. 125 00:06:32,850 --> 00:06:34,650 So this is not a conforming loan. 126 00:06:34,650 --> 00:06:38,340 You've got to buy insurance, and it's subprime, 127 00:06:38,340 --> 00:06:39,900 so on and so forth. 128 00:06:39,900 --> 00:06:44,050 5% is your investment, $25,000. 129 00:06:44,050 --> 00:06:49,920 Now, suppose housing prices go down by 10%. 130 00:06:49,920 --> 00:06:53,098 What's the return on your capital? 131 00:06:53,098 --> 00:06:54,550 AUDIENCE: Negative. 132 00:06:54,550 --> 00:06:57,530 ANDREW LO: Well, you've lost everything, right? 133 00:06:57,530 --> 00:07:02,840 The $50,000 loss is still there, but you only put in 25. 134 00:07:02,840 --> 00:07:06,830 So you've now lost all of your capital, and on top of that, 135 00:07:06,830 --> 00:07:11,180 you're in the hole for another 25. 136 00:07:11,180 --> 00:07:16,550 So you've actually lost not only all of your wealth, 137 00:07:16,550 --> 00:07:19,440 but actually, you've lost more than all of it. 138 00:07:19,440 --> 00:07:23,960 You've lost minus 100% of your wealth or your total return. 139 00:07:23,960 --> 00:07:28,470 Your net return is minus 200%. 140 00:07:28,470 --> 00:07:32,130 So, if you're a major financial institution, 141 00:07:32,130 --> 00:07:39,140 and you're leveraged 16 to 1, and the value of that portfolio 142 00:07:39,140 --> 00:07:46,730 declines by 10% or 20%, you can go through capital very, 143 00:07:46,730 --> 00:07:47,960 very quickly. 144 00:07:47,960 --> 00:07:49,570 Now let's do a back of the envelope. 145 00:07:49,570 --> 00:07:51,430 The amount of capital that they have-- let's 146 00:07:51,430 --> 00:07:53,620 go up and take a look at this. 147 00:07:53,620 --> 00:07:57,520 The amount of capital that Lehman had is something like-- 148 00:07:57,520 --> 00:08:03,120 total long-term capital $145 billion, OK? 149 00:08:03,120 --> 00:08:10,040 If you leverage that 16 to 1, and then you ask the question, 150 00:08:10,040 --> 00:08:13,030 with that leverage amount of capital, 151 00:08:13,030 --> 00:08:18,020 if it drops by, I don't know, 10%, 5%, 152 00:08:18,020 --> 00:08:22,330 7% of that total asset base, you can 153 00:08:22,330 --> 00:08:25,120 see how you can go through $145 billion of capital 154 00:08:25,120 --> 00:08:28,500 pretty quickly with leverage. 155 00:08:28,500 --> 00:08:31,210 Now, you might ask, why on earth would anybody do this? 156 00:08:31,210 --> 00:08:34,289 Why would you leverage 16 to 1? 157 00:08:34,289 --> 00:08:38,610 Well, why would anybody buy a house in New England 158 00:08:38,610 --> 00:08:40,820 with 5% down? 159 00:08:40,820 --> 00:08:41,809 That's just as crazy. 160 00:08:41,809 --> 00:08:44,717 What's the leverage ratio if you put 5% down? 161 00:08:44,717 --> 00:08:45,855 AUDIENCE: 20 to 1. 162 00:08:45,855 --> 00:08:47,230 ANDREW LO: 20 to 1, exactly, so I 163 00:08:47,230 --> 00:08:51,852 was a proud leveraged investor that had 20 to 1 leverage. 164 00:08:51,852 --> 00:08:52,810 I beat Lehman Brothers. 165 00:08:55,570 --> 00:08:56,440 Why would I do that? 166 00:08:56,440 --> 00:08:58,270 Is that insane? 167 00:08:58,270 --> 00:08:59,032 Well, yeah. 168 00:08:59,032 --> 00:09:01,240 AUDIENCE: So you don't [? tie ?] up too much capital. 169 00:09:01,240 --> 00:09:02,320 ANDREW LO: Well, yes. 170 00:09:02,320 --> 00:09:04,030 That's a very polite way of saying it. 171 00:09:04,030 --> 00:09:06,405 Yes, I would tie up too much capital if I didn't do that. 172 00:09:06,405 --> 00:09:08,420 The fact is, I didn't have the capital. 173 00:09:08,420 --> 00:09:10,920 So thank you for being kind. 174 00:09:10,920 --> 00:09:12,310 But why wasn't it nuts? 175 00:09:12,310 --> 00:09:13,436 Yeah. 176 00:09:13,436 --> 00:09:16,459 AUDIENCE: [INAUDIBLE] 177 00:09:16,459 --> 00:09:17,250 ANDREW LO: Exactly. 178 00:09:17,250 --> 00:09:20,420 If the value goes up, then I earn 179 00:09:20,420 --> 00:09:22,800 that kind of money, the same kind of money. 180 00:09:22,800 --> 00:09:28,340 So if housing prices go up by 10%, then at 20 to 1 leverage, 181 00:09:28,340 --> 00:09:30,410 I look like a hedge fund manager, right? 182 00:09:30,410 --> 00:09:32,929 Make a ton of money, but that's not the only reason 183 00:09:32,929 --> 00:09:34,970 that I'm willing to do that because you're saying 184 00:09:34,970 --> 00:09:37,580 that I want to take that risk. 185 00:09:37,580 --> 00:09:39,170 Why would I do that? 186 00:09:39,170 --> 00:09:40,522 Yeah, Michael. 187 00:09:40,522 --> 00:09:42,230 AUDIENCE: Well, your risk seems very low. 188 00:09:42,230 --> 00:09:42,963 ANDREW LO: Why? 189 00:09:42,963 --> 00:09:44,463 AUDIENCE: Well, in the past, there's 190 00:09:44,463 --> 00:09:46,379 nothing to indicate that prices would go down. 191 00:09:46,379 --> 00:09:47,210 ANDREW LO: Exactly. 192 00:09:47,210 --> 00:09:52,130 The risk of 20 to 1 leverage is only a risk 193 00:09:52,130 --> 00:09:55,460 if the amount of housing price fluctuation 194 00:09:55,460 --> 00:09:58,310 is such that it could actually wipe me out. 195 00:09:58,310 --> 00:10:01,580 But up until very recently, housing prices 196 00:10:01,580 --> 00:10:03,590 have done nothing but this. 197 00:10:03,590 --> 00:10:04,816 They've gone up. 198 00:10:04,816 --> 00:10:06,440 And not only have they gone up, they've 199 00:10:06,440 --> 00:10:10,160 gone up in a very smooth and orderly fashion. 200 00:10:10,160 --> 00:10:13,640 You know, if house prices went up by 15% a year every year, 201 00:10:13,640 --> 00:10:16,289 you might be thrilled, but also a bit scared. 202 00:10:16,289 --> 00:10:17,330 That's not what happened. 203 00:10:17,330 --> 00:10:19,413 Housing prices have gone up, maybe, I don't know-- 204 00:10:19,413 --> 00:10:23,580 8%, 10%, 7%, 5%, 6%. 205 00:10:23,580 --> 00:10:26,490 It's been relatively smooth. 206 00:10:26,490 --> 00:10:29,610 And so the volatility, the volatility 207 00:10:29,610 --> 00:10:32,670 of those kinds of investments were low enough 208 00:10:32,670 --> 00:10:35,130 that the leverage didn't scare me at all. 209 00:10:35,130 --> 00:10:37,320 And in fact, I didn't lose money. 210 00:10:37,320 --> 00:10:40,410 I held that house for about five or six years 211 00:10:40,410 --> 00:10:44,080 and bought another one, and it was fine. 212 00:10:44,080 --> 00:10:46,680 It was fine because that kind of leverage 213 00:10:46,680 --> 00:10:49,730 is not a problem as long as the volatility 214 00:10:49,730 --> 00:10:53,980 of the overall investment wasn't out of hand. 215 00:10:53,980 --> 00:10:56,830 What happened over the last two or three years 216 00:10:56,830 --> 00:10:59,540 is that the volatility has gotten out of hand. 217 00:10:59,540 --> 00:11:01,780 And we're going to talk about that Wednesday 218 00:11:01,780 --> 00:11:03,040 at that pro seminar. 219 00:11:03,040 --> 00:11:05,620 I'm going to give you a concrete illustration not only of how 220 00:11:05,620 --> 00:11:09,640 it got out of hand, but how financial engineering 221 00:11:09,640 --> 00:11:12,220 and the design of derivative securities 222 00:11:12,220 --> 00:11:16,330 to expand the housing market and provide people with these loans 223 00:11:16,330 --> 00:11:19,120 exacerbated the problem on the downside. 224 00:11:19,120 --> 00:11:21,310 But of course, the purpose of it was 225 00:11:21,310 --> 00:11:22,750 to help people on the upside. 226 00:11:22,750 --> 00:11:24,850 It's exactly looking at the investments 227 00:11:24,850 --> 00:11:29,210 going up and thinking that, gee, they could never come down. 228 00:11:29,210 --> 00:11:29,878 Yeah, question. 229 00:11:29,878 --> 00:11:32,253 AUDIENCE: What about the fact that at the end of the day, 230 00:11:32,253 --> 00:11:33,862 you can live in your house? 231 00:11:33,862 --> 00:11:35,854 And the total valuation of your house, 232 00:11:35,854 --> 00:11:38,350 if it goes down $100,000, it's still a [INAUDIBLE].. 233 00:11:38,350 --> 00:11:39,221 ANDREW LO: Right. 234 00:11:39,221 --> 00:11:41,220 AUDIENCE: So you only have to deal with the mark 235 00:11:41,220 --> 00:11:42,560 to market [? up and down. ?] 236 00:11:42,560 --> 00:11:44,560 ANDREW LO: That's a very important point. 237 00:11:44,560 --> 00:11:46,190 The mark to market. 238 00:11:46,190 --> 00:11:48,450 What does mark to market mean? 239 00:11:48,450 --> 00:11:49,119 Anybody know? 240 00:11:49,119 --> 00:11:50,910 We've never used that term in class so far. 241 00:11:50,910 --> 00:11:51,582 Yeah. 242 00:11:51,582 --> 00:11:54,294 AUDIENCE: It's something that book value gets [? matched ?] 243 00:11:54,294 --> 00:11:55,650 [? together with ?] reality. 244 00:11:55,650 --> 00:11:56,650 ANDREW LO: That's right. 245 00:11:56,650 --> 00:12:00,000 When something that may have a book value gets 246 00:12:00,000 --> 00:12:04,810 marked to a reality check in terms of market price. 247 00:12:04,810 --> 00:12:06,660 So for example, the first lecture, 248 00:12:06,660 --> 00:12:09,450 where I auctioned off that little tiny box 249 00:12:09,450 --> 00:12:11,400 that you had no idea what was in there, 250 00:12:11,400 --> 00:12:13,350 it had no market value beforehand, 251 00:12:13,350 --> 00:12:15,720 at least not to any of you. 252 00:12:15,720 --> 00:12:17,730 But we marked it to market. 253 00:12:17,730 --> 00:12:21,100 We marked it to market at 45 bucks. 254 00:12:21,100 --> 00:12:23,780 And so it established a market price. 255 00:12:23,780 --> 00:12:28,300 Now, the question is, who cares what the value of the house is? 256 00:12:28,300 --> 00:12:30,280 You're living in it, you're enjoying it, 257 00:12:30,280 --> 00:12:32,039 so what's the big deal? 258 00:12:32,039 --> 00:12:32,830 Well, that's right. 259 00:12:32,830 --> 00:12:36,490 It's not a big deal if you enjoy living in the house, 260 00:12:36,490 --> 00:12:39,610 and you can afford to pay the mortgage, and you're OK. 261 00:12:39,610 --> 00:12:43,490 And millions of homeowners are exactly in that situation. 262 00:12:43,490 --> 00:12:45,440 So we can't forget that. 263 00:12:45,440 --> 00:12:48,190 That the subprime mortgage has enabled literally 264 00:12:48,190 --> 00:12:51,250 millions of homeowners to become homeowners 265 00:12:51,250 --> 00:12:53,700 who never could have. 266 00:12:53,700 --> 00:12:57,480 But what if there's a problem in terms of interest rates going 267 00:12:57,480 --> 00:13:00,180 up and your mortgage payment going up 268 00:13:00,180 --> 00:13:03,270 because you ended up getting a very low teaser 269 00:13:03,270 --> 00:13:05,250 rate for your mortgage? 270 00:13:05,250 --> 00:13:06,840 You've got an adjustable rate mortgage 271 00:13:06,840 --> 00:13:08,880 because they said, gee, you could buy this house 272 00:13:08,880 --> 00:13:10,650 with virtually no money down. 273 00:13:10,650 --> 00:13:13,560 And you've got plenty of resources 274 00:13:13,560 --> 00:13:16,500 to be able to pay for it because your payment is only $300 275 00:13:16,500 --> 00:13:17,280 a month. 276 00:13:17,280 --> 00:13:19,560 And then, a year later, that mortgage payment 277 00:13:19,560 --> 00:13:20,940 is $1,000 a month. 278 00:13:20,940 --> 00:13:22,710 Then it's a real problem. 279 00:13:22,710 --> 00:13:25,110 OK, then you've got a decision. 280 00:13:25,110 --> 00:13:27,750 The decision is, are you going to keep 281 00:13:27,750 --> 00:13:32,310 paying all of your income and have a hard time making 282 00:13:32,310 --> 00:13:37,060 ends meet for a house that you'll never 283 00:13:37,060 --> 00:13:38,230 get the money back? 284 00:13:38,230 --> 00:13:41,410 It's literally taking your money and burning it 285 00:13:41,410 --> 00:13:43,450 because you've lost your equity. 286 00:13:43,450 --> 00:13:45,520 And you've lost so much more beyond your equity 287 00:13:45,520 --> 00:13:47,260 that in order to make money you'd 288 00:13:47,260 --> 00:13:49,330 have to hold onto the house for 20 years, 289 00:13:49,330 --> 00:13:52,940 and you can't afford the house anyway. 290 00:13:52,940 --> 00:13:54,436 Do you do that? 291 00:13:54,436 --> 00:13:56,060 Or do you put the key in the front door 292 00:13:56,060 --> 00:13:59,150 and move out and say, you know what, bank, it's all yours. 293 00:13:59,150 --> 00:14:00,990 I'm moving on. 294 00:14:00,990 --> 00:14:02,740 That's what's happened across the country. 295 00:14:02,740 --> 00:14:05,280 It's the fact that people can't afford these mortgages 296 00:14:05,280 --> 00:14:08,016 because they got in at low teaser rates, 297 00:14:08,016 --> 00:14:10,140 and now the rates have come up because the interest 298 00:14:10,140 --> 00:14:11,490 rates have been going up. 299 00:14:11,490 --> 00:14:14,430 Now, something very significant is going to happen tomorrow. 300 00:14:14,430 --> 00:14:17,100 Tomorrow, the Fed is almost surely 301 00:14:17,100 --> 00:14:19,350 going to cut rates because they want 302 00:14:19,350 --> 00:14:23,580 to reduce the pressure on the system for exactly 303 00:14:23,580 --> 00:14:24,510 these kinds of issues. 304 00:14:24,510 --> 00:14:28,320 They want to reduce the kind of default rates. 305 00:14:28,320 --> 00:14:31,020 And by keeping interest rates low, 306 00:14:31,020 --> 00:14:33,600 they actually are going to be able to encourage 307 00:14:33,600 --> 00:14:36,300 liquidity and reduce the kind of pressure 308 00:14:36,300 --> 00:14:37,400 that we've been seeing. 309 00:14:37,400 --> 00:14:39,329 Yeah, question. 310 00:14:39,329 --> 00:14:40,704 AUDIENCE: I was going to ask what 311 00:14:40,704 --> 00:14:44,220 happens if you put your 5% down, and the value of the house 312 00:14:44,220 --> 00:14:48,415 goes down, say, 25%, it's been only a year. 313 00:14:48,415 --> 00:14:50,531 You feel like you're not going to get-- it's never 314 00:14:50,531 --> 00:14:51,447 going to come back up. 315 00:14:51,447 --> 00:14:55,050 Can you literally just go to the bank and say it's yours? 316 00:14:55,050 --> 00:14:57,660 ANDREW LO: Well, that depends on what you signed when you got 317 00:14:57,660 --> 00:14:59,010 your mortgage from the bank. 318 00:14:59,010 --> 00:15:03,090 Most mortgage contracts are known as non-recourse loans, 319 00:15:03,090 --> 00:15:06,806 meaning that they've got your house as collateral, 320 00:15:06,806 --> 00:15:07,930 but that's all they've got. 321 00:15:07,930 --> 00:15:09,640 They don't have your firstborn, they 322 00:15:09,640 --> 00:15:13,129 don't have your pinky finger. 323 00:15:13,129 --> 00:15:15,170 And depending on where you borrow, in some cases, 324 00:15:15,170 --> 00:15:17,440 you may have to give that up. 325 00:15:17,440 --> 00:15:20,470 But no, the fact of the matter is the most they can do 326 00:15:20,470 --> 00:15:23,530 is take your house away and sell it. 327 00:15:23,530 --> 00:15:27,340 And a lot of homeowners are saying, great, it's all yours. 328 00:15:27,340 --> 00:15:29,022 I'm moving out of Stockton, California. 329 00:15:29,022 --> 00:15:29,980 I don't need the house. 330 00:15:29,980 --> 00:15:31,870 I don't need to have these mortgage payments 331 00:15:31,870 --> 00:15:34,670 where I'm throwing in good money after bad. 332 00:15:34,670 --> 00:15:36,460 That's their perspective. 333 00:15:36,460 --> 00:15:38,410 AUDIENCE: What about your credit score? 334 00:15:38,410 --> 00:15:40,618 ANDREW LO: Yes, so your credit score will go to hell. 335 00:15:40,618 --> 00:15:41,520 So you wait. 336 00:15:41,520 --> 00:15:43,450 So you'll wait five years or seven years, 337 00:15:43,450 --> 00:15:46,360 and then you'll be back again. 338 00:15:46,360 --> 00:15:49,120 There's a finite limit on how long 339 00:15:49,120 --> 00:15:51,910 they can keep those kind of credit scores. 340 00:15:51,910 --> 00:15:56,080 And beyond a certain point, you will have a clean record. 341 00:15:56,080 --> 00:15:58,931 But even with that bad credit score-- 342 00:15:58,931 --> 00:16:01,180 I mean, don't forget, that's how the subprime mortgage 343 00:16:01,180 --> 00:16:02,110 market got created. 344 00:16:02,110 --> 00:16:03,341 You saw the TV ads, right? 345 00:16:03,341 --> 00:16:04,840 Doesn't matter if you're in default, 346 00:16:04,840 --> 00:16:06,310 doesn't matter if you have no credit, 347 00:16:06,310 --> 00:16:07,935 doesn't matter if you don't have a job, 348 00:16:07,935 --> 00:16:10,110 we'll still give you a loan. 349 00:16:10,110 --> 00:16:13,420 Now, that's not true today, or not as true today, 350 00:16:13,420 --> 00:16:15,820 but at some point when the market recovers, 351 00:16:15,820 --> 00:16:17,680 we're going to see that come back again. 352 00:16:17,680 --> 00:16:21,645 And so you will be able to borrow again. 353 00:16:21,645 --> 00:16:23,285 Yeah. 354 00:16:23,285 --> 00:16:25,493 AUDIENCE: Given that the interest rates are now going 355 00:16:25,493 --> 00:16:27,810 up, does that mean the [INAUDIBLE]---- 356 00:16:27,810 --> 00:16:30,370 ANDREW LO: Going down. 357 00:16:30,370 --> 00:16:35,457 AUDIENCE: Despite the fact that the financial cut [INAUDIBLE],, 358 00:16:35,457 --> 00:16:39,086 the actual interest rate that homeowners are paying 359 00:16:39,086 --> 00:16:39,900 hasn't changed. 360 00:16:39,900 --> 00:16:40,140 ANDREW LO: Right. 361 00:16:40,140 --> 00:16:42,431 AUDIENCE: So does that mean that those with good credit 362 00:16:42,431 --> 00:16:44,840 are effectively subsidizing those with bad credit? 363 00:16:44,840 --> 00:16:47,530 ANDREW LO: Well, yes and no. 364 00:16:47,530 --> 00:16:49,810 I mean, I think that the subsidization 365 00:16:49,810 --> 00:16:53,500 that you're talking about really happens very, very indirectly. 366 00:16:53,500 --> 00:16:56,740 The fact that there are large numbers of defaults 367 00:16:56,740 --> 00:16:59,980 ultimately may mean that it's harder to get a subprime loan. 368 00:16:59,980 --> 00:17:01,630 So the folks that are actually good 369 00:17:01,630 --> 00:17:05,710 credits, but don't meet the prime borrowing rate criteria, 370 00:17:05,710 --> 00:17:07,970 yes, they will suffer. 371 00:17:07,970 --> 00:17:11,660 But at equilibrium-- by equilibrium I mean when supply 372 00:17:11,660 --> 00:17:13,430 equals demand-- 373 00:17:13,430 --> 00:17:15,710 the price is the price is the price. 374 00:17:15,710 --> 00:17:20,030 So it depends on what kind of a borrower you are, 375 00:17:20,030 --> 00:17:22,310 but whatever type of borrower you 376 00:17:22,310 --> 00:17:26,210 are, if you can signal that that's the type you are, 377 00:17:26,210 --> 00:17:29,090 you will be able to get that appropriate kind of credit. 378 00:17:29,090 --> 00:17:31,220 All right, so in that sense, it's 379 00:17:31,220 --> 00:17:33,530 not as if taxpayers are footing the bill 380 00:17:33,530 --> 00:17:36,590 for the particular interest rate shifts that are going on. 381 00:17:36,590 --> 00:17:39,050 Taxpayers may end up footing the bill for what 382 00:17:39,050 --> 00:17:41,450 happened with Bear Stearns, what happened with Fannie 383 00:17:41,450 --> 00:17:42,740 Mae and Freddie Mac. 384 00:17:42,740 --> 00:17:45,910 And that's one of the reasons why, over the weekend, 385 00:17:45,910 --> 00:17:48,380 when the Fed was approached by Lehman Brothers and said, 386 00:17:48,380 --> 00:17:50,480 hey, you've got to help us out here, 387 00:17:50,480 --> 00:17:52,280 the Fed said, you know what? 388 00:17:52,280 --> 00:17:53,210 We're done with that. 389 00:17:53,210 --> 00:17:56,870 You know, sorry, but we can't ask the American taxpayer 390 00:17:56,870 --> 00:17:58,400 to foot this bill either. 391 00:17:58,400 --> 00:18:01,190 Otherwise there's going to be tremendous backlash. 392 00:18:01,190 --> 00:18:03,410 And so when Lehman Brothers was left 393 00:18:03,410 --> 00:18:06,050 without backing from the Fed, they 394 00:18:06,050 --> 00:18:09,289 went to a number of private organizations like Barclays. 395 00:18:09,289 --> 00:18:11,330 Barclays said that they would be willing to do it 396 00:18:11,330 --> 00:18:13,850 if the Fed was able to provide some kind of backstop. 397 00:18:13,850 --> 00:18:15,766 The Fed was not willing to provide a backstop, 398 00:18:15,766 --> 00:18:17,690 so Barclays said thanks, but no thanks. 399 00:18:17,690 --> 00:18:21,410 And at that point, Lehman said, we have no choice because we 400 00:18:21,410 --> 00:18:26,090 cannot close a sale within a matter of 24 to 48 hours from 401 00:18:26,090 --> 00:18:27,230 this point on. 402 00:18:27,230 --> 00:18:29,030 And we've got some notes coming up. 403 00:18:29,030 --> 00:18:32,820 We've got to do something, so they filed for Chapter 11. 404 00:18:32,820 --> 00:18:33,590 Yeah. 405 00:18:33,590 --> 00:18:35,030 AUDIENCE: If they cut the rates [? as far as ?] they do, 406 00:18:35,030 --> 00:18:36,470 what's the negative part? 407 00:18:36,470 --> 00:18:37,430 Inflation? 408 00:18:37,430 --> 00:18:38,340 ANDREW LO: Yes. 409 00:18:38,340 --> 00:18:40,490 We're actually going to talk about that 410 00:18:40,490 --> 00:18:42,860 in this next segment-- 411 00:18:42,860 --> 00:18:43,760 inflation. 412 00:18:43,760 --> 00:18:47,210 If the Fed cuts rates, one could argue 413 00:18:47,210 --> 00:18:49,430 that the reason we're in the mess that we are 414 00:18:49,430 --> 00:18:51,860 is because the Fed had kept the Fed funds 415 00:18:51,860 --> 00:18:55,820 rate so low for so long that even after the stock 416 00:18:55,820 --> 00:18:58,310 market crashed with the internet bubble bursting, 417 00:18:58,310 --> 00:19:01,790 the housing market continued on with its bubble 418 00:19:01,790 --> 00:19:03,830 because it was still so cheap to borrow. 419 00:19:03,830 --> 00:19:06,131 And I'm sure I've mentioned before 420 00:19:06,131 --> 00:19:08,630 that when I was an assistant professor at the Wharton School 421 00:19:08,630 --> 00:19:11,550 back in 1986 looking to buy a house, 422 00:19:11,550 --> 00:19:15,070 the 30-year fixed was at 18%. 423 00:19:15,070 --> 00:19:17,170 18% for a 30-year fixed mortgage. 424 00:19:17,170 --> 00:19:20,180 I didn't do it because I couldn't afford it at the time, 425 00:19:20,180 --> 00:19:22,570 but think about that versus today. 426 00:19:22,570 --> 00:19:27,970 Mortgage rates are maybe at a recent high of 6%, 7%, 8%. 427 00:19:27,970 --> 00:19:32,320 That's not bad, relative to historical standards. 428 00:19:32,320 --> 00:19:35,430 OK, so yes, I mean, I think that's the concern 429 00:19:35,430 --> 00:19:37,810 that if we keep interest rates too low, 430 00:19:37,810 --> 00:19:39,580 that's going to encourage inflation. 431 00:19:39,580 --> 00:19:41,530 And inflation will have its own costs. 432 00:19:41,530 --> 00:19:45,760 Anybody who's from any Latin American country 433 00:19:45,760 --> 00:19:49,184 will know the ghost of inflation is tremendously frightening. 434 00:19:49,184 --> 00:19:51,100 And we don't want to let that get out of hand. 435 00:19:51,100 --> 00:19:53,290 If you remember back to the 1970s, 436 00:19:53,290 --> 00:19:56,650 we had some inflation in the US that was a real problem. 437 00:19:56,650 --> 00:20:00,000 So we're going to talk about that in just a couple minutes. 438 00:20:00,000 --> 00:20:00,970 Any other? 439 00:20:00,970 --> 00:20:01,737 Yes. 440 00:20:01,737 --> 00:20:05,216 AUDIENCE: I mean, is one thing to do [INAUDIBLE].. 441 00:20:05,216 --> 00:20:07,204 You said that when the market comes back, 442 00:20:07,204 --> 00:20:10,190 we will still have another bubble. 443 00:20:10,190 --> 00:20:11,550 ANDREW LO: Absolutely, yes. 444 00:20:11,550 --> 00:20:13,650 AUDIENCE: And do you think this is reasonable? 445 00:20:13,650 --> 00:20:15,840 ANDREW LO: Do I think it's reasonable? 446 00:20:15,840 --> 00:20:18,810 You're not allowed to ask that question to an economist. 447 00:20:18,810 --> 00:20:22,680 Or rather, an economist is not allowed to answer that. 448 00:20:22,680 --> 00:20:26,580 Reasonable is relative. 449 00:20:26,580 --> 00:20:29,704 And there are moral and ethical overtones 450 00:20:29,704 --> 00:20:31,620 that economists don't like to get involved in. 451 00:20:31,620 --> 00:20:33,400 It's human nature. 452 00:20:33,400 --> 00:20:38,017 Is it human to suffer from fear and greed? 453 00:20:38,017 --> 00:20:39,600 Well, yes, and I don't think I'm going 454 00:20:39,600 --> 00:20:42,210 to change that any time soon, nor are you 455 00:20:42,210 --> 00:20:44,590 going to be able to change that any time soon. 456 00:20:44,590 --> 00:20:47,070 So that's one of the reasons why we 457 00:20:47,070 --> 00:20:51,140 study finance is to develop an intellectual and disciplined 458 00:20:51,140 --> 00:20:52,890 framework for thinking about these issues. 459 00:20:52,890 --> 00:20:54,840 Because if you don't, if you don't 460 00:20:54,840 --> 00:20:57,180 have a framework for thinking about this, 461 00:20:57,180 --> 00:21:00,090 then you're left responding to fear and greed. 462 00:21:00,090 --> 00:21:05,430 Right now, we are in the absolute grips of fear. 463 00:21:05,430 --> 00:21:07,320 Those of you who aren't in financial markets, 464 00:21:07,320 --> 00:21:09,210 if you read the papers, my guess is you'll 465 00:21:09,210 --> 00:21:11,690 start getting scared anyway. 466 00:21:11,690 --> 00:21:13,230 And if you're in financial markets, 467 00:21:13,230 --> 00:21:15,960 I promise you this is the scariest time 468 00:21:15,960 --> 00:21:21,660 that we've been in, including August of '98, October '87, 469 00:21:21,660 --> 00:21:25,050 '94, 2001. 470 00:21:25,050 --> 00:21:28,440 All of the kind of periods of market dislocation 471 00:21:28,440 --> 00:21:32,102 is trumped by what's been going on over the last few weeks. 472 00:21:32,102 --> 00:21:34,560 And it's exciting from the point of view of being a finance 473 00:21:34,560 --> 00:21:36,930 student because you actually have the opportunity 474 00:21:36,930 --> 00:21:40,160 to understand and do something about this. 475 00:21:40,160 --> 00:21:43,020 But it requires a certain discipline to do that. 476 00:21:43,020 --> 00:21:44,110 Yeah, Ingrid. 477 00:21:44,110 --> 00:21:46,610 AUDIENCE: What does it exactly mean that Lehman Brothers are 478 00:21:46,610 --> 00:21:47,110 bankrupt? 479 00:21:47,110 --> 00:21:51,264 Because everybody, I guess it's not a written one, 480 00:21:51,264 --> 00:21:54,510 but if I have some money deposited there, 481 00:21:54,510 --> 00:21:58,410 will they give it back to me because I am a liability? 482 00:21:58,410 --> 00:22:01,330 ANDREW LO: Well, that's exactly the problem. 483 00:22:01,330 --> 00:22:03,470 The answer is I don't know. 484 00:22:03,470 --> 00:22:05,970 And that's one of the reasons why there is this dislocation. 485 00:22:05,970 --> 00:22:07,710 Nobody knows because nobody knows 486 00:22:07,710 --> 00:22:11,310 how large the losses could be. 487 00:22:11,310 --> 00:22:13,159 And part of the thing is that the losses 488 00:22:13,159 --> 00:22:14,950 at Lehman and other financial institutions, 489 00:22:14,950 --> 00:22:15,991 including Merrill Lynch-- 490 00:22:15,991 --> 00:22:18,720 Merrill Lynch in some ways has bigger exposure than Lehman. 491 00:22:18,720 --> 00:22:20,220 The difference is that Merrill Lynch 492 00:22:20,220 --> 00:22:21,690 has other sources of revenue that 493 00:22:21,690 --> 00:22:25,440 are able to let it get through this situation a bit 494 00:22:25,440 --> 00:22:27,330 more gracefully. 495 00:22:27,330 --> 00:22:29,220 But the problem is we don't know because we 496 00:22:29,220 --> 00:22:32,910 don't know how the value of these large assets 497 00:22:32,910 --> 00:22:34,080 are going to be valued. 498 00:22:34,080 --> 00:22:37,110 If you value them at zero, then they're in deep trouble. 499 00:22:37,110 --> 00:22:38,567 And not only are the shareholders 500 00:22:38,567 --> 00:22:40,650 going to get wiped out, but a lot of the creditors 501 00:22:40,650 --> 00:22:41,850 are going to get wiped out. 502 00:22:41,850 --> 00:22:44,700 If you value them at what they're valued now, 503 00:22:44,700 --> 00:22:47,790 well, then there are going to be some hiccups along the way, 504 00:22:47,790 --> 00:22:49,710 but a number of people should get out 505 00:22:49,710 --> 00:22:53,127 without outrageous losses. 506 00:22:53,127 --> 00:22:55,626 AUDIENCE: And can't you sort of declare default, stop paying 507 00:22:55,626 --> 00:23:02,009 now, until thing get better? 508 00:23:02,009 --> 00:23:04,300 I'm sort of applying my Latin American experience here. 509 00:23:04,300 --> 00:23:05,910 ANDREW LO: Yes, yes. 510 00:23:05,910 --> 00:23:08,970 I mean that's exactly what filing for bankruptcy does. 511 00:23:08,970 --> 00:23:12,450 When you file for bankruptcy, you basically go to the courts 512 00:23:12,450 --> 00:23:17,670 and say, I cannot make good on my IOUs. 513 00:23:17,670 --> 00:23:20,200 And I recognize that this is a problem. 514 00:23:20,200 --> 00:23:24,420 So I'm going to ask the court to appoint a conservator 515 00:23:24,420 --> 00:23:29,250 or supervisor to oversee the disposition 516 00:23:29,250 --> 00:23:32,130 and dissolution of my assets in order 517 00:23:32,130 --> 00:23:36,540 to make an orderly transition to pay off all of the creditors. 518 00:23:36,540 --> 00:23:39,440 And you know who's last in line? 519 00:23:39,440 --> 00:23:40,009 Shareholders. 520 00:23:40,009 --> 00:23:40,550 That's right. 521 00:23:40,550 --> 00:23:42,620 So most people think the shareholders 522 00:23:42,620 --> 00:23:44,670 are going to get nothing, which is 523 00:23:44,670 --> 00:23:47,850 kind of astonishing because take a look at their closing 524 00:23:47,850 --> 00:23:49,920 price in 2007. 525 00:23:49,920 --> 00:23:55,300 The closing price of Lehman Brothers stock, $62 a share 526 00:23:55,300 --> 00:23:57,280 at the end of 2007. 527 00:23:57,280 --> 00:24:00,520 Nine months later, it's worth zero. 528 00:24:00,520 --> 00:24:03,700 Zero, from $62 a share. 529 00:24:03,700 --> 00:24:07,240 That's a huge destruction of value. 530 00:24:07,240 --> 00:24:07,990 And you know what? 531 00:24:07,990 --> 00:24:13,870 Part of that loss in value is really due to the loss of brand 532 00:24:13,870 --> 00:24:17,030 and the loss of business viability. 533 00:24:17,030 --> 00:24:19,120 It's intangible assets. 534 00:24:19,120 --> 00:24:22,810 It's not like all of a sudden, the Lehman investment bankers 535 00:24:22,810 --> 00:24:26,380 and proprietary traders and asset managers, 536 00:24:26,380 --> 00:24:29,150 they had brain damage and they're a lot stupider 537 00:24:29,150 --> 00:24:30,350 than they used to be. 538 00:24:30,350 --> 00:24:32,980 They're just as smart, just as savvy, just as experienced, 539 00:24:32,980 --> 00:24:36,100 just as knowledgeable as ever were. 540 00:24:36,100 --> 00:24:38,560 The problem is that because of the magnitude 541 00:24:38,560 --> 00:24:41,710 of their exposures, there is general concern 542 00:24:41,710 --> 00:24:43,870 about their viability as a business. 543 00:24:43,870 --> 00:24:46,180 And when you don't want to do business with them, when 544 00:24:46,180 --> 00:24:48,179 everybody doesn't want to do business with them, 545 00:24:48,179 --> 00:24:50,140 when nobody wants to do business with them, 546 00:24:50,140 --> 00:24:51,550 they're not a business. 547 00:24:51,550 --> 00:24:55,870 And the value of their business goes to zero. 548 00:24:55,870 --> 00:24:58,110 And so there's a chicken and egg problem 549 00:24:58,110 --> 00:25:01,020 and you know the bottom line is that irrespective 550 00:25:01,020 --> 00:25:03,520 of whether it's the chicken or the egg, when the egg breaks, 551 00:25:03,520 --> 00:25:05,200 you're done. 552 00:25:05,200 --> 00:25:07,060 Yeah? 553 00:25:07,060 --> 00:25:10,165 AUDIENCE: [INAUDIBLE] Bear Stearns [INAUDIBLE] 554 00:25:10,165 --> 00:25:10,790 extremely high? 555 00:25:10,790 --> 00:25:12,710 ANDREW LO: Yes, what happened with Lehman 556 00:25:12,710 --> 00:25:14,600 is quite similar to what happened with Bear. 557 00:25:14,600 --> 00:25:21,710 Except that with Bear, there was a panic 558 00:25:21,710 --> 00:25:25,950 that was triggered by what seems to be some kind of a rumor, 559 00:25:25,950 --> 00:25:28,550 not necessarily large exposures coming due. 560 00:25:28,550 --> 00:25:30,380 Bear Stearns actually hedge funds 561 00:25:30,380 --> 00:25:33,740 that were engaged in these kinds of subprime mortgages, CDOs 562 00:25:33,740 --> 00:25:35,300 and CDSs. 563 00:25:35,300 --> 00:25:38,360 Those funds went under during the summer. 564 00:25:38,360 --> 00:25:41,540 But Bear Stearns as a business collapsed because individuals 565 00:25:41,540 --> 00:25:43,760 really didn't want to do business with it 566 00:25:43,760 --> 00:25:45,140 because of this kind of a risk. 567 00:25:45,140 --> 00:25:47,030 And the same thing happened at Lehman. 568 00:25:47,030 --> 00:25:48,830 Except Lehman's exposure was much larger. 569 00:25:48,830 --> 00:25:50,830 They have much larger exposure to these markets. 570 00:25:50,830 --> 00:25:52,610 They're one of the biggest players 571 00:25:52,610 --> 00:25:55,130 in these particular kinds of securities. 572 00:25:55,130 --> 00:25:57,705 OK, because we're running short on time, 573 00:25:57,705 --> 00:25:59,330 I'd like to just take one more question 574 00:25:59,330 --> 00:26:00,962 and then let me go on with our lecture. 575 00:26:00,962 --> 00:26:02,420 And believe it or not, we are going 576 00:26:02,420 --> 00:26:04,700 to cover material exactly related 577 00:26:04,700 --> 00:26:07,200 to this when we start talking about fixed income securities. 578 00:26:07,200 --> 00:26:09,282 So this is very much apropos. 579 00:26:09,282 --> 00:26:11,553 Yeah, [INAUDIBLE]. 580 00:26:11,553 --> 00:26:13,365 AUDIENCE: How do you think this affects us 581 00:26:13,365 --> 00:26:15,630 in terms of the people that want to [? be bias? ?] 582 00:26:15,630 --> 00:26:18,490 ANDREW LO: Yeah, great question. 583 00:26:18,490 --> 00:26:22,910 AUDIENCE: [? 25,000 ?] people from Lehman [INAUDIBLE] jobs 584 00:26:22,910 --> 00:26:23,974 [INAUDIBLE]. 585 00:26:23,974 --> 00:26:24,890 ANDREW LO: Absolutely. 586 00:26:24,890 --> 00:26:26,670 So this is a great question. 587 00:26:26,670 --> 00:26:29,220 I'm actually talk about that specifically Wednesday evening. 588 00:26:29,220 --> 00:26:32,220 But let me let me give you the short answer now. 589 00:26:32,220 --> 00:26:35,940 The short answer is that within the next two or three months, 590 00:26:35,940 --> 00:26:38,550 Wall Street will be frozen. 591 00:26:40,994 --> 00:26:43,160 They're going to be a deer caught in the headlights. 592 00:26:43,160 --> 00:26:44,687 They won't know what's going on. 593 00:26:44,687 --> 00:26:46,520 They won't know what their hiring plans are. 594 00:26:46,520 --> 00:26:48,750 They won't know the number of slots. 595 00:26:48,750 --> 00:26:50,590 There's resumes flying back and forth. 596 00:26:50,590 --> 00:26:53,090 So it's going to be a bit of chaos for the next two or three 597 00:26:53,090 --> 00:26:54,660 months. 598 00:26:54,660 --> 00:26:57,240 It's not clear that that's going to affect you. 599 00:26:57,240 --> 00:27:00,450 Because internships still have to be filled. 600 00:27:00,450 --> 00:27:05,250 Entry level positions are actually of least concern 601 00:27:05,250 --> 00:27:07,260 to businesses because those are the ones 602 00:27:07,260 --> 00:27:10,140 that they want to fill because the new generation are 603 00:27:10,140 --> 00:27:12,120 hungry and smart. 604 00:27:12,120 --> 00:27:14,519 Ready to do anything, take on anything, and cheap. 605 00:27:14,519 --> 00:27:15,060 That's right. 606 00:27:15,060 --> 00:27:18,960 I didn't want to say that but you said that. 607 00:27:18,960 --> 00:27:19,622 Good value. 608 00:27:19,622 --> 00:27:20,580 Let me put it that way. 609 00:27:20,580 --> 00:27:23,251 You're a good value. 610 00:27:23,251 --> 00:27:24,750 So what's going to happen is it will 611 00:27:24,750 --> 00:27:27,420 be virtually impossible for a senior managing 612 00:27:27,420 --> 00:27:29,970 director from one firm to easily get 613 00:27:29,970 --> 00:27:31,890 a job at another firm within the next two 614 00:27:31,890 --> 00:27:34,320 or three months until things settle down. 615 00:27:34,320 --> 00:27:37,110 At the entry level job market, I suspect that there 616 00:27:37,110 --> 00:27:38,730 will be some disruption. 617 00:27:38,730 --> 00:27:41,370 For example, just a simple indication 618 00:27:41,370 --> 00:27:44,580 of that today after my 4 o'clock session, 619 00:27:44,580 --> 00:27:47,370 I was supposed to meet with the CFO of Bank of America, Joe 620 00:27:47,370 --> 00:27:48,090 Price. 621 00:27:48,090 --> 00:27:49,650 As many of you know, we established 622 00:27:49,650 --> 00:27:51,108 a relationship with Bank of America 623 00:27:51,108 --> 00:27:54,750 just recently-- the Laboratory for Financial Engineering 624 00:27:54,750 --> 00:27:57,750 to work with B of A to do some interesting research 625 00:27:57,750 --> 00:28:00,570 and to get access to their tremendous database. 626 00:28:00,570 --> 00:28:02,880 And we were going to launch that set of discussions 627 00:28:02,880 --> 00:28:05,730 today with Joe Price. 628 00:28:05,730 --> 00:28:07,920 Not surprisingly, at 3:00 in the morning, 629 00:28:07,920 --> 00:28:09,990 I got an email from a B of A employee 630 00:28:09,990 --> 00:28:12,904 saying that he will not be coming to MIT today after all. 631 00:28:12,904 --> 00:28:14,070 He was a little bit tied up. 632 00:28:16,710 --> 00:28:21,360 By the way, B of A also looked at Lehman over the weekend. 633 00:28:21,360 --> 00:28:25,664 So over the weekend, B of A folks wee pretty busy shopping. 634 00:28:25,664 --> 00:28:26,580 They looked at Lehman. 635 00:28:26,580 --> 00:28:30,600 But again, when the Fed wouldn't guarantee 636 00:28:30,600 --> 00:28:35,260 any kind of a backstop for Lehman, B of A passed as well. 637 00:28:35,260 --> 00:28:37,610 So that's an example of the kind of dislocation 638 00:28:37,610 --> 00:28:38,360 I'm talking about. 639 00:28:38,360 --> 00:28:41,520 There will be scheduling glitches and things like that. 640 00:28:41,520 --> 00:28:45,580 Going forward though, after the two or three months, 641 00:28:45,580 --> 00:28:48,130 I actually think this is a fantastic time 642 00:28:48,130 --> 00:28:49,600 to get into the industry. 643 00:28:49,600 --> 00:28:53,290 Because when you have these kind of dislocations, 644 00:28:53,290 --> 00:28:55,480 opportunities get created. 645 00:28:55,480 --> 00:28:58,540 And opportunities for people that are smart, 646 00:28:58,540 --> 00:29:00,610 that are hungry, that are willing to work hard-- 647 00:29:00,610 --> 00:29:02,740 I mean, that's exactly the kind of situation 648 00:29:02,740 --> 00:29:03,880 that you want to be in. 649 00:29:03,880 --> 00:29:06,850 When things are going well, they don't need you. 650 00:29:06,850 --> 00:29:09,130 They're going to hire people just to be clerks 651 00:29:09,130 --> 00:29:10,900 and to get people lunch. 652 00:29:10,900 --> 00:29:14,180 But now is the time where you can actually have a big impact. 653 00:29:14,180 --> 00:29:16,690 So rather than be discouraged, I think all of you 654 00:29:16,690 --> 00:29:20,524 have perfect timing in terms of being in school now. 655 00:29:20,524 --> 00:29:21,940 In two years time, you'll get out. 656 00:29:21,940 --> 00:29:23,620 That's when all of the businesses 657 00:29:23,620 --> 00:29:26,500 are going to be recovering and certainly doing quite well, 658 00:29:26,500 --> 00:29:27,460 I suspect. 659 00:29:27,460 --> 00:29:29,450 And even within the next six months, 660 00:29:29,450 --> 00:29:31,302 you're going to see that a number of firms 661 00:29:31,302 --> 00:29:32,260 are going to be hiring. 662 00:29:32,260 --> 00:29:34,385 And by the way, the dislocation we're talking about 663 00:29:34,385 --> 00:29:35,980 is on the broker-dealer side. 664 00:29:35,980 --> 00:29:39,310 On the asset management side, hedge funds, pension funds, 665 00:29:39,310 --> 00:29:42,070 asset management companies, foundations, endowments, 666 00:29:42,070 --> 00:29:44,650 non-financial corporations-- they're hiring 667 00:29:44,650 --> 00:29:47,320 and they need people with financial expertise 668 00:29:47,320 --> 00:29:50,050 to deal with these kind of market dislocations. 669 00:29:50,050 --> 00:29:52,090 So I think that the job prospects are actually 670 00:29:52,090 --> 00:29:55,030 quite bright for this class and the class after. 671 00:29:55,030 --> 00:29:57,910 The folks that are going to be in a little bit of a tough bind 672 00:29:57,910 --> 00:30:00,757 are the second years who will be interviewing for their jobs 673 00:30:00,757 --> 00:30:02,090 in the next two or three months. 674 00:30:02,090 --> 00:30:04,274 They may end up having to wait a little bit longer. 675 00:30:04,274 --> 00:30:06,190 And I suspect that they will take a little bit 676 00:30:06,190 --> 00:30:07,510 longer to settle on their jobs. 677 00:30:07,510 --> 00:30:10,030 But even then, MIT students end up having 678 00:30:10,030 --> 00:30:12,130 a bit of an advantage over other MBAs simply 679 00:30:12,130 --> 00:30:15,900 because of the expertise that we bring to the table. 680 00:30:15,900 --> 00:30:16,430 OK. 681 00:30:16,430 --> 00:30:18,430 So sorry about taking them so much of your time, 682 00:30:18,430 --> 00:30:21,699 but I think this is relevant and will be useful for what we're 683 00:30:21,699 --> 00:30:22,990 going to be talking about next. 684 00:30:26,830 --> 00:30:30,070 Let me turn to what we ended with in the last class, which 685 00:30:30,070 --> 00:30:32,710 is the inflation topic. 686 00:30:32,710 --> 00:30:38,350 Last class, you'll recall, we talked about the two formulas 687 00:30:38,350 --> 00:30:40,690 that you're going to know very well 688 00:30:40,690 --> 00:30:42,640 by the end of this course, perpetuities 689 00:30:42,640 --> 00:30:45,070 and annuities and compounding. 690 00:30:45,070 --> 00:30:48,490 And where we ended with was this notion of inflation. 691 00:30:48,490 --> 00:30:51,670 How many of you already know what inflation is and you've 692 00:30:51,670 --> 00:30:54,220 talked about it in macro? 693 00:30:54,220 --> 00:30:55,340 OK, some of you. 694 00:30:55,340 --> 00:30:57,580 So let me go over it briefly. 695 00:30:57,580 --> 00:31:00,070 And I think you'll see very quickly exactly 696 00:31:00,070 --> 00:31:01,900 what the idea is. 697 00:31:01,900 --> 00:31:06,040 It's really meant to capture the fact that the purchasing 698 00:31:06,040 --> 00:31:11,380 power of your money can vary over time, irrespective 699 00:31:11,380 --> 00:31:14,230 of the time value of money. 700 00:31:14,230 --> 00:31:16,510 And let me explain it this way-- 701 00:31:16,510 --> 00:31:20,440 at a particular point in time, let's say time t, 702 00:31:20,440 --> 00:31:23,230 you've got a certain amount of wealth, wt. 703 00:31:23,230 --> 00:31:28,330 And the value of the kinds of things that you like to buy 704 00:31:28,330 --> 00:31:29,890 is given by an index. 705 00:31:29,890 --> 00:31:30,580 Call it I sub t. 706 00:31:30,580 --> 00:31:34,240 So you could think about that as the price of the basket 707 00:31:34,240 --> 00:31:36,210 of goods that you enjoy. 708 00:31:36,210 --> 00:31:37,210 OK? 709 00:31:37,210 --> 00:31:43,510 So this will include consumer items, food, clothing. 710 00:31:43,510 --> 00:31:46,610 As well, it may include other items-- leisure, entertainment, 711 00:31:46,610 --> 00:31:48,480 and so on. 712 00:31:48,480 --> 00:31:52,310 And the fact that you have a certain amount of wealth 713 00:31:52,310 --> 00:31:55,730 doesn't really tell you how happy you are. 714 00:31:55,730 --> 00:31:58,370 It's really how much you're able to consume. 715 00:31:58,370 --> 00:32:01,220 How you use that wealth that tells you how happy you are. 716 00:32:01,220 --> 00:32:03,470 So economists really like to focus 717 00:32:03,470 --> 00:32:07,700 not on total wealth as a measure of your standard of living, 718 00:32:07,700 --> 00:32:10,070 but how you are able to consume that wealth. 719 00:32:10,070 --> 00:32:12,620 So we're going to come up with a basket of consumption goods 720 00:32:12,620 --> 00:32:18,080 and call that price of that basket, I sub t, all right? 721 00:32:18,080 --> 00:32:20,360 Now let's move from time t to a different point 722 00:32:20,360 --> 00:32:21,740 in time, t plus k. 723 00:32:21,740 --> 00:32:24,440 So k periods from now, you're going 724 00:32:24,440 --> 00:32:26,600 to have a different amount of wealth. 725 00:32:26,600 --> 00:32:28,580 Hopefully bigger. 726 00:32:28,580 --> 00:32:32,620 And presumably, you're going to be able to consume more. 727 00:32:32,620 --> 00:32:37,120 Well, that's presuming that the prices of what you 728 00:32:37,120 --> 00:32:41,220 like to consume don't change. 729 00:32:41,220 --> 00:32:44,320 But if those prices do change, then in fact, 730 00:32:44,320 --> 00:32:48,470 you might not be really better off in any way. 731 00:32:48,470 --> 00:32:50,840 And so in order for you to tell whether or not 732 00:32:50,840 --> 00:32:53,420 you're better off or worse off, you 733 00:32:53,420 --> 00:32:56,790 need to know not only how much wealth you have, 734 00:32:56,790 --> 00:32:59,790 but how much that wealth can buy you in terms of the stuff 735 00:32:59,790 --> 00:33:01,780 that you like to consume. 736 00:33:01,780 --> 00:33:07,440 So the idea behind inflation is to measure the purchasing 737 00:33:07,440 --> 00:33:10,500 power of your dollar. 738 00:33:10,500 --> 00:33:14,680 And that's completely different from time value of money. 739 00:33:14,680 --> 00:33:17,550 Time value of money simply says that people are impatient 740 00:33:17,550 --> 00:33:20,660 and they prefer money now to money later. 741 00:33:20,660 --> 00:33:25,820 But inflation is a comment about the purchasing 742 00:33:25,820 --> 00:33:30,080 power of that dollar now versus later. 743 00:33:30,080 --> 00:33:31,440 And it can go either way. 744 00:33:31,440 --> 00:33:35,630 In other words, it's possible that a dollar next year 745 00:33:35,630 --> 00:33:39,440 will buy you more than a dollar today 746 00:33:39,440 --> 00:33:43,400 because if prices decline, as they have right now for energy, 747 00:33:43,400 --> 00:33:44,000 for example. 748 00:33:44,000 --> 00:33:46,340 Energy is below $100 a barrel. 749 00:33:46,340 --> 00:33:49,290 Just a few months ago, it was at $130 a barrel. 750 00:33:49,290 --> 00:33:52,220 So if we had a winter a few months ago, 751 00:33:52,220 --> 00:33:55,100 that would have been really bad because home heating oil would 752 00:33:55,100 --> 00:33:56,683 have been a lot more expensive than it 753 00:33:56,683 --> 00:33:57,890 looks like it's going to be. 754 00:33:57,890 --> 00:34:00,140 However, it's still going to be more expensive than it 755 00:34:00,140 --> 00:34:05,070 was two years ago, when oil was at $40 a barrel. 756 00:34:05,070 --> 00:34:06,910 So you need to know what you're going 757 00:34:06,910 --> 00:34:09,409 to consume in order to get a sense of whether you are better 758 00:34:09,409 --> 00:34:10,174 or worse off. 759 00:34:10,174 --> 00:34:11,840 And that's what we measure by this price 760 00:34:11,840 --> 00:34:15,280 index, I of t plus k. 761 00:34:15,280 --> 00:34:17,889 So when you're looking at your portfolio, 762 00:34:17,889 --> 00:34:19,270 you might ask the question what's 763 00:34:19,270 --> 00:34:21,250 my return on my portfolio. 764 00:34:21,250 --> 00:34:23,110 And the way you calculate that return 765 00:34:23,110 --> 00:34:27,010 is look at your wealth at time t plus k divided by your wealth 766 00:34:27,010 --> 00:34:30,540 at time t, subtract 1 from it. 767 00:34:30,540 --> 00:34:32,670 And that's your return, right? 768 00:34:32,670 --> 00:34:36,120 That's often called the nominal return 769 00:34:36,120 --> 00:34:39,510 because it's in name only, meaning 770 00:34:39,510 --> 00:34:43,350 it's the actual number of dollar bills 771 00:34:43,350 --> 00:34:45,120 that your wealth will grow to. 772 00:34:45,120 --> 00:34:47,820 So if you've got $1,000 this year, 773 00:34:47,820 --> 00:34:51,719 next year you've got $1,100, your nominal return 774 00:34:51,719 --> 00:34:53,610 for your wealth is 10%. 775 00:34:53,610 --> 00:34:55,739 That's the number of dollar bills 776 00:34:55,739 --> 00:34:58,050 you'll have more than you had this year. 777 00:34:58,050 --> 00:35:00,240 10% more. 778 00:35:00,240 --> 00:35:02,500 Now if you want to know how you're 779 00:35:02,500 --> 00:35:04,860 doing in terms of your level of happiness, 780 00:35:04,860 --> 00:35:07,290 your purchasing power, your cost of living, 781 00:35:07,290 --> 00:35:09,030 your standard of living, you've got 782 00:35:09,030 --> 00:35:13,020 to look at what's going on with a cost of living increase. 783 00:35:13,020 --> 00:35:16,530 I sub t plus k divided by I sub t. 784 00:35:16,530 --> 00:35:23,860 And we can write that as a fixed growth rate, pi, per year. 785 00:35:23,860 --> 00:35:26,790 1 plus pi to the k 786 00:35:26,790 --> 00:35:29,610 So let's suppose that all the prices of the things 787 00:35:29,610 --> 00:35:32,120 you love and enjoy-- 788 00:35:32,120 --> 00:35:35,650 they go up by 10% as well. 789 00:35:35,650 --> 00:35:37,750 Well, then have you made any money? 790 00:35:37,750 --> 00:35:39,400 Have you made any progress? 791 00:35:39,400 --> 00:35:41,890 You've made money, but you haven't made progress. 792 00:35:41,890 --> 00:35:46,960 You've made 10% in terms of your return on your initial $1,000. 793 00:35:46,960 --> 00:35:52,270 But the stuff that you like to eat and buy and use-- 794 00:35:52,270 --> 00:35:54,530 that's also gone up by 10%. 795 00:35:54,530 --> 00:35:59,420 So in fact, you can't do any more consumption next year 796 00:35:59,420 --> 00:36:01,150 than you could have this year. 797 00:36:01,150 --> 00:36:04,030 Because while your wealth went up by 10%, the cost of living 798 00:36:04,030 --> 00:36:06,400 went up by 10%. 799 00:36:06,400 --> 00:36:09,070 So from a real perspective-- 800 00:36:09,070 --> 00:36:12,660 real meaning what you really care about-- 801 00:36:12,660 --> 00:36:15,950 you haven't really made any progress. 802 00:36:15,950 --> 00:36:19,370 Inflation is a measure of how much progress we've made. 803 00:36:19,370 --> 00:36:23,210 And so when you engage in analysis 804 00:36:23,210 --> 00:36:26,900 of these kinds of present value problems, 805 00:36:26,900 --> 00:36:29,810 you've got to ask the question whether or not 806 00:36:29,810 --> 00:36:36,320 you're focusing on nominal returns or real returns, OK? 807 00:36:36,320 --> 00:36:40,190 And ultimately, as a consumer, what you all care about 808 00:36:40,190 --> 00:36:42,570 is real returns. 809 00:36:42,570 --> 00:36:45,830 You want to know whether you're getting better off in terms 810 00:36:45,830 --> 00:36:48,770 of what you can really consume. 811 00:36:48,770 --> 00:36:51,780 So how do you do that. 812 00:36:51,780 --> 00:36:55,620 Well, first of all, you have to change the units. 813 00:36:55,620 --> 00:36:57,256 Sorry, question? 814 00:36:57,256 --> 00:36:59,110 AUDIENCE: Why pi? 815 00:36:59,110 --> 00:37:01,352 ANDREW LO: Why that letter? 816 00:37:01,352 --> 00:37:02,807 AUDIENCE: [INAUDIBLE] 817 00:37:02,807 --> 00:37:03,890 ANDREW LO: Oh, no, no, no. 818 00:37:03,890 --> 00:37:06,050 I'm sorry. 819 00:37:06,050 --> 00:37:08,090 Thank you for pointing it out. 820 00:37:08,090 --> 00:37:11,630 No, by pi, I just mean a variable name called pi. 821 00:37:11,630 --> 00:37:15,550 I don't mean 3.14159. 822 00:37:15,550 --> 00:37:18,796 Only at MIT would I get that question. 823 00:37:18,796 --> 00:37:20,170 I've taught at other universities 824 00:37:20,170 --> 00:37:22,870 and they ask me what that funny-looking symbol 825 00:37:22,870 --> 00:37:25,640 looks like. 826 00:37:25,640 --> 00:37:27,490 So yeah, sorry about that. 827 00:37:27,490 --> 00:37:31,030 This is just a Greek letter that denotes a variable. 828 00:37:31,030 --> 00:37:32,661 It's like r or something. 829 00:37:32,661 --> 00:37:33,160 All right? 830 00:37:33,160 --> 00:37:34,690 Thank you. 831 00:37:34,690 --> 00:37:38,050 So here, what I've done is to define 832 00:37:38,050 --> 00:37:42,700 a variable called your real wealth at time t plus k. 833 00:37:42,700 --> 00:37:45,550 Real meaning this is what you really 834 00:37:45,550 --> 00:37:49,060 can do with your money in terms of consuming. 835 00:37:49,060 --> 00:37:52,730 What it is is your nominal wealth divided 836 00:37:52,730 --> 00:37:56,400 by the rate of inflation. 837 00:37:56,400 --> 00:37:58,610 So in the case of the example I gave you, 838 00:37:58,610 --> 00:38:02,150 where your nominal wealth goes up by 10% 839 00:38:02,150 --> 00:38:07,440 and your inflation rate goes up by 10%, when 840 00:38:07,440 --> 00:38:10,530 you take your nominal wealth and you divide it 841 00:38:10,530 --> 00:38:14,430 by that growth rate in inflation, what do you get? 842 00:38:17,530 --> 00:38:20,160 You get $1,000. 843 00:38:20,160 --> 00:38:24,060 In other words, your wealth hasn't changed in real terms. 844 00:38:24,060 --> 00:38:24,840 OK? 845 00:38:24,840 --> 00:38:28,530 So in the example that I gave you your wealth went up by 10%. 846 00:38:28,530 --> 00:38:32,470 Your inflation rate for a year is also 10%. 847 00:38:32,470 --> 00:38:38,334 So if you divide your total wealth by that index, 848 00:38:38,334 --> 00:38:39,750 you're basically going to get back 849 00:38:39,750 --> 00:38:43,560 to your original amount of wealth, right? 850 00:38:43,560 --> 00:38:47,100 So here's the general framework. 851 00:38:47,100 --> 00:38:51,990 Your real wealth is going to be your nominal wealth divided 852 00:38:51,990 --> 00:38:54,350 by the rate of inflation. 853 00:38:54,350 --> 00:38:55,880 You're dividing by it because you're 854 00:38:55,880 --> 00:39:01,460 using, as your units of comparison, today's consumption 855 00:39:01,460 --> 00:39:02,816 basket. 856 00:39:02,816 --> 00:39:05,390 Right? 857 00:39:05,390 --> 00:39:10,100 So the way you can look at your real return, which is denoted 1 858 00:39:10,100 --> 00:39:15,710 plus r real to the k-th power, your real return over k years 859 00:39:15,710 --> 00:39:19,520 is equal to the real wealth at the end of year k years divided 860 00:39:19,520 --> 00:39:20,475 by your wealth today. 861 00:39:20,475 --> 00:39:22,100 That's your real rate of return, right? 862 00:39:22,100 --> 00:39:27,630 Because it's how much real dollars you have at time k. 863 00:39:27,630 --> 00:39:32,070 That's just given by your nominal rate 864 00:39:32,070 --> 00:39:34,880 of return of your wealth. 865 00:39:34,880 --> 00:39:38,750 And then divided by the rate of inflation. 866 00:39:38,750 --> 00:39:40,080 OK? 867 00:39:40,080 --> 00:39:43,200 So this is the expression that is 868 00:39:43,200 --> 00:39:49,080 the basic relationship between real and nominal consumption 869 00:39:49,080 --> 00:39:50,260 goods. 870 00:39:50,260 --> 00:39:54,480 And then we approximate this ratio 871 00:39:54,480 --> 00:39:57,510 with this very, very simple relationship here. 872 00:39:57,510 --> 00:40:00,910 The real rate of return is approximately 873 00:40:00,910 --> 00:40:06,160 equal to the nominal rate of return minus the inflation 874 00:40:06,160 --> 00:40:07,630 rate-- not divided by anything. 875 00:40:07,630 --> 00:40:09,610 That's the approximation. 876 00:40:09,610 --> 00:40:11,970 So getting back to my example. 877 00:40:11,970 --> 00:40:14,920 My example of if you have a 10% nominal growth 878 00:40:14,920 --> 00:40:20,060 rate for your investment and you have a 10% inflation rate, 879 00:40:20,060 --> 00:40:23,570 then in that case, there's no approximation. 880 00:40:23,570 --> 00:40:26,720 In fact, your inflation rate, your real rate of return, 881 00:40:26,720 --> 00:40:28,100 is zero, right? 882 00:40:28,100 --> 00:40:30,300 10% minus 10% is zero. 883 00:40:30,300 --> 00:40:31,850 Where the approximation happens is 884 00:40:31,850 --> 00:40:34,080 when you have something a little bit different. 885 00:40:34,080 --> 00:40:38,640 For example, suppose the inflation rate were 10% 886 00:40:38,640 --> 00:40:41,846 and suppose your nominal rate of return was 15%. 887 00:40:41,846 --> 00:40:43,470 According to this approximation, what's 888 00:40:43,470 --> 00:40:45,990 your real rate of return? 889 00:40:45,990 --> 00:40:46,900 5%, right. 890 00:40:46,900 --> 00:40:56,470 It's not exactly 5% because if you take 1.15 divided by 1.10, 891 00:40:56,470 --> 00:40:58,780 it's not exactly 5%. 892 00:40:58,780 --> 00:41:00,970 But it's approximately equal to that. 893 00:41:00,970 --> 00:41:02,980 OK? 894 00:41:02,980 --> 00:41:07,080 What this says is that you ought to think, as a consumer, not 895 00:41:07,080 --> 00:41:09,480 just about the total dollars that's 896 00:41:09,480 --> 00:41:14,040 growing but the purchasing power of those dollars. 897 00:41:14,040 --> 00:41:15,220 OK. 898 00:41:15,220 --> 00:41:19,810 For the purposes of doing NPV calculations, 899 00:41:19,810 --> 00:41:23,710 I want to just mention one rule of thumb that 900 00:41:23,710 --> 00:41:26,500 will do you in good stead, no matter what kind 901 00:41:26,500 --> 00:41:28,870 of calculations you do. 902 00:41:28,870 --> 00:41:32,050 And that is simply to keep track of whether you're using 903 00:41:32,050 --> 00:41:36,880 nominal or real cash flows. 904 00:41:36,880 --> 00:41:41,180 And then to use nominal or real discount rates to match. 905 00:41:41,180 --> 00:41:42,910 In other words, nominal cash flow 906 00:41:42,910 --> 00:41:45,940 should be divided by nominal discount rates. 907 00:41:45,940 --> 00:41:50,830 And real cash flow should be denominated by real discount 908 00:41:50,830 --> 00:41:52,270 rates. 909 00:41:52,270 --> 00:41:56,020 Most of the cash flows that you will get in your analysis will 910 00:41:56,020 --> 00:41:58,411 typically be nominal. 911 00:41:58,411 --> 00:42:01,210 Nominal meaning that's the actual number of dollars 912 00:42:01,210 --> 00:42:03,700 you will see on those dates. 913 00:42:03,700 --> 00:42:06,370 But occasionally, you may get a forecast 914 00:42:06,370 --> 00:42:08,510 that is made in real terms-- 915 00:42:08,510 --> 00:42:11,704 in terms of purchasing power. 916 00:42:11,704 --> 00:42:13,120 And in that case, you have to just 917 00:42:13,120 --> 00:42:14,830 be careful to use the right interest rate when 918 00:42:14,830 --> 00:42:16,080 you're doing your discounting. 919 00:42:16,080 --> 00:42:18,890 You have to take into account inflation. 920 00:42:18,890 --> 00:42:22,590 Nominal gets discounted by nominal, real gets discounted 921 00:42:22,590 --> 00:42:23,090 by real. 922 00:42:23,090 --> 00:42:27,359 That's all you have to remember, OK? 923 00:42:27,359 --> 00:42:28,400 Any questions about that? 924 00:42:31,606 --> 00:42:32,980 OK. 925 00:42:32,980 --> 00:42:35,320 We're now done with lecture 3 and we're 926 00:42:35,320 --> 00:42:38,680 moving on to lecture 4, which is fixed income securities. 927 00:42:38,680 --> 00:42:43,360 And this is the focus of much of the dislocation in markets 928 00:42:43,360 --> 00:42:44,260 today. 929 00:42:44,260 --> 00:42:46,120 So this is very topical. 930 00:42:46,120 --> 00:42:48,010 And something that I think you'll 931 00:42:48,010 --> 00:42:50,740 find very useful when we start trying 932 00:42:50,740 --> 00:42:53,425 to understand exactly what's been going on in these markets. 933 00:42:55,930 --> 00:42:58,540 Let me start with a little bit of an industry overview. 934 00:43:01,120 --> 00:43:04,810 And the industry overview will give you 935 00:43:04,810 --> 00:43:09,945 a sense of why these markets are so important as well as so 936 00:43:09,945 --> 00:43:10,445 large. 937 00:43:13,860 --> 00:43:14,910 OK. 938 00:43:14,910 --> 00:43:16,690 So we're going to start, as I said, 939 00:43:16,690 --> 00:43:21,090 with an overview of markets and participants. 940 00:43:21,090 --> 00:43:23,610 And then I'm going to talk about evaluation of fixed income 941 00:43:23,610 --> 00:43:24,720 securities. 942 00:43:24,720 --> 00:43:28,110 It turns out that all of the hard work that we've done just 943 00:43:28,110 --> 00:43:30,180 over the last three lectures are going 944 00:43:30,180 --> 00:43:32,970 to be able to get us through all of valuation 945 00:43:32,970 --> 00:43:34,230 for fixed income securities. 946 00:43:34,230 --> 00:43:36,900 In other words, you now know all that you 947 00:43:36,900 --> 00:43:40,560 need to know to price virtually any fixed income 948 00:43:40,560 --> 00:43:44,160 security without default. Without uncertainty. 949 00:43:44,160 --> 00:43:48,960 Remember, we said no uncertainty until lecture 12. 950 00:43:48,960 --> 00:43:50,630 It's a pretty significant accomplishment 951 00:43:50,630 --> 00:43:53,275 because there are lots and lots of securities out there 952 00:43:53,275 --> 00:43:54,650 that are fixed income securities. 953 00:43:54,650 --> 00:43:56,180 And you now have the tools-- you don't 954 00:43:56,180 --> 00:43:58,054 know that you have the tools yet, but you do, 955 00:43:58,054 --> 00:44:00,757 believe me, to price them all. 956 00:44:00,757 --> 00:44:02,840 So we're going to go over the valuation principles 957 00:44:02,840 --> 00:44:06,355 and apply them to discount bonds and coupon bonds. 958 00:44:06,355 --> 00:44:07,730 And then I'm going to talk to you 959 00:44:07,730 --> 00:44:09,290 a little bit about uncertainty. 960 00:44:09,290 --> 00:44:13,250 I want to bring in interest rate risk in a very simple way. 961 00:44:13,250 --> 00:44:14,900 I want to simply talk about the fact 962 00:44:14,900 --> 00:44:17,690 that interest rates do change over time 963 00:44:17,690 --> 00:44:21,530 and that change can actually cause some concern as well 964 00:44:21,530 --> 00:44:22,550 as some opportunities. 965 00:44:22,550 --> 00:44:25,910 I want to discuss what those opportunities and concerns are. 966 00:44:25,910 --> 00:44:28,474 And then I'm going to conclude by talking about default. 967 00:44:28,474 --> 00:44:30,140 I'm going to talk about corporate bonds. 968 00:44:30,140 --> 00:44:33,350 And I probably won't talk about the subprime issues 969 00:44:33,350 --> 00:44:37,610 in this class because I want to focus on the material that's 970 00:44:37,610 --> 00:44:38,580 required. 971 00:44:38,580 --> 00:44:41,310 But I will talk about it in this pro seminar, which is optional. 972 00:44:41,310 --> 00:44:43,280 So you're welcome to come on Wednesday 973 00:44:43,280 --> 00:44:45,854 and we'll go over that material. 974 00:44:45,854 --> 00:44:48,020 And if you want, you can take a look at it yourself. 975 00:44:48,020 --> 00:44:51,950 It's pretty self-explanatory so I think you'll see how it goes. 976 00:44:51,950 --> 00:44:55,470 For readings, I'd like you all to read chapters 23 through 25 977 00:44:55,470 --> 00:44:56,990 of Brealey, Myers, and Allen. 978 00:44:56,990 --> 00:44:59,540 You'll have three lectures to do that. 979 00:44:59,540 --> 00:45:02,390 Lectures 4, 5, and 6 will all be focused 980 00:45:02,390 --> 00:45:04,430 on fixed income securities. 981 00:45:04,430 --> 00:45:07,550 So let me talk to you a bit about the industry now. 982 00:45:07,550 --> 00:45:11,000 The name fixed income securities means exactly what it says. 983 00:45:11,000 --> 00:45:14,420 What we're going to do now is to focus on pieces of paper 984 00:45:14,420 --> 00:45:21,830 where the payoffs are fixed and known in advance. 985 00:45:21,830 --> 00:45:25,820 Unlike a stock where you buy a stock and you don't know 986 00:45:25,820 --> 00:45:29,060 whether it's going to pay off at all and the cash flows, 987 00:45:29,060 --> 00:45:34,400 the dividends or repurchases or capital gains are uncertain-- 988 00:45:34,400 --> 00:45:38,180 you don't have any idea what the cash flows may or may not be-- 989 00:45:38,180 --> 00:45:42,140 in contrast of those securities, fixed income instruments 990 00:45:42,140 --> 00:45:44,810 have fixed incomes. 991 00:45:44,810 --> 00:45:49,850 So they have very, very clearly stated payoffs 992 00:45:49,850 --> 00:45:51,710 that you know in advance. 993 00:45:51,710 --> 00:45:54,800 So from a pricing perspective, these 994 00:45:54,800 --> 00:45:58,340 are probably the simplest kind of securities that could 995 00:45:58,340 --> 00:46:01,580 possibly be constructed, right? 996 00:46:01,580 --> 00:46:04,160 Couldn't be simpler than a piece of paper that 997 00:46:04,160 --> 00:46:10,190 says every year on this date, I will pay you $10,000 998 00:46:10,190 --> 00:46:13,190 of nominal currency, right? 999 00:46:13,190 --> 00:46:15,800 That's a fixed income security. 1000 00:46:15,800 --> 00:46:21,380 Examples are anything from treasury securities, 1001 00:46:21,380 --> 00:46:24,290 securities issued by the United States Treasury 1002 00:46:24,290 --> 00:46:29,240 and other foreign treasuries, to federal agent securities. 1003 00:46:29,240 --> 00:46:30,800 We know about those now, right? 1004 00:46:30,800 --> 00:46:33,100 Fannie Mae and Freddie Mac securities. 1005 00:46:33,100 --> 00:46:34,790 To corporate security-- securities 1006 00:46:34,790 --> 00:46:37,250 issued not by the government or by government sponsored 1007 00:46:37,250 --> 00:46:40,220 entities, but by private corporations 1008 00:46:40,220 --> 00:46:41,930 and public corporations. 1009 00:46:41,930 --> 00:46:44,210 And then municipal securities, these 1010 00:46:44,210 --> 00:46:47,370 are securities issued by local governments. 1011 00:46:47,370 --> 00:46:51,380 And then mortgage backed securities, securities 1012 00:46:51,380 --> 00:46:56,340 that are payoffs of pools of other securities, 1013 00:46:56,340 --> 00:46:58,040 including mortgages. 1014 00:46:58,040 --> 00:47:02,360 And then the whole mix of collateralized debt 1015 00:47:02,360 --> 00:47:06,800 obligations, collateralized loan obligations, credit default 1016 00:47:06,800 --> 00:47:12,060 swaps, and other complex instruments. 1017 00:47:12,060 --> 00:47:14,850 That's a lot of securities. 1018 00:47:14,850 --> 00:47:20,060 And to get a sense of how many securities we're talking about. 1019 00:47:20,060 --> 00:47:22,890 let me show you the market. 1020 00:47:22,890 --> 00:47:25,320 This is as of the end of 2006 because that's 1021 00:47:25,320 --> 00:47:30,370 the only data that I could get that is timely. 1022 00:47:30,370 --> 00:47:35,140 At the end of 2006, the US bond market 1023 00:47:35,140 --> 00:47:41,620 consisted of just tremendous, tremendous amount of assets. 1024 00:47:41,620 --> 00:47:45,400 So $6.4 trillion in mortgage-related securities, 1025 00:47:45,400 --> 00:47:47,200 24% of the market. 1026 00:47:47,200 --> 00:47:51,360 $2.3 trillion in municipals. $4.2 trillion in treasuries. 1027 00:47:51,360 --> 00:47:53,920 $2 trillion in asset backed securities. 1028 00:47:53,920 --> 00:47:55,660 $3.8 trillion money market. 1029 00:47:55,660 --> 00:47:58,900 $2.6 trillion in federal agencies, securities, 1030 00:47:58,900 --> 00:48:01,420 and so on. 1031 00:48:01,420 --> 00:48:05,130 These numbers-- they dwarf the stock market. 1032 00:48:05,130 --> 00:48:10,440 So we're traditionally focused in financial analysis 1033 00:48:10,440 --> 00:48:13,500 on pricing stocks and analyzing stocks. 1034 00:48:13,500 --> 00:48:16,170 And we get all excited when Google tries 1035 00:48:16,170 --> 00:48:20,440 to take over Yahoo and so on. 1036 00:48:20,440 --> 00:48:24,310 But the size of the markets, the size of equity markets 1037 00:48:24,310 --> 00:48:28,120 are dwarfed by fixed income securities. 1038 00:48:28,120 --> 00:48:31,260 And again, these are apples and oranges. 1039 00:48:31,260 --> 00:48:34,180 And I'm just saying that there is a hell of a lot more apples 1040 00:48:34,180 --> 00:48:36,040 and there are oranges. 1041 00:48:36,040 --> 00:48:38,530 You can figure out what you want from that, 1042 00:48:38,530 --> 00:48:41,140 but these are really big markets. 1043 00:48:41,140 --> 00:48:44,080 And on this slide, I show you the evolution 1044 00:48:44,080 --> 00:48:46,870 of these markets-- how they've integral over time 1045 00:48:46,870 --> 00:48:49,930 from 1985 to 2006. 1046 00:48:49,930 --> 00:48:55,360 And what you'll see is that the mortgage-related market 1047 00:48:55,360 --> 00:49:02,200 has just grown by tremendous, tremendous amounts. 1048 00:49:02,200 --> 00:49:04,450 As well as federal agency securities-- 1049 00:49:04,450 --> 00:49:06,760 that's Fannie Mae and Freddie Mac. 1050 00:49:06,760 --> 00:49:10,780 And asset backed markets was nothing in 1985. 1051 00:49:10,780 --> 00:49:13,510 It didn't exist in '85. 1052 00:49:13,510 --> 00:49:17,500 And now we're talking about a $2 trillion market here. 1053 00:49:17,500 --> 00:49:20,680 So a lot has happened in the last 20 years. 1054 00:49:20,680 --> 00:49:23,990 It's been exciting times for financial markets. 1055 00:49:23,990 --> 00:49:25,570 And right now, we're in the midst 1056 00:49:25,570 --> 00:49:31,710 of some market turmoil because of that unbridled growth. 1057 00:49:31,710 --> 00:49:35,920 Now this is the amount outstanding. 1058 00:49:35,920 --> 00:49:38,560 This chart shows you the issuance 1059 00:49:38,560 --> 00:49:41,530 that is the amount of debt that's being issued 1060 00:49:41,530 --> 00:49:42,740 at any given point in time. 1061 00:49:42,740 --> 00:49:48,550 So the first was an example of the stock of debt 1062 00:49:48,550 --> 00:49:50,050 at any point in time. 1063 00:49:50,050 --> 00:49:56,300 And now, I'm talking about the flow of debt year by year. 1064 00:49:56,300 --> 00:50:02,080 And you can see that as of 2006, mortgage-related bonds 1065 00:50:02,080 --> 00:50:08,050 were the fastest growing segment, by far. 1066 00:50:08,050 --> 00:50:11,890 And that continued up until 2007 and then 1067 00:50:11,890 --> 00:50:15,710 the brakes started being put on to that market. 1068 00:50:15,710 --> 00:50:16,810 OK? 1069 00:50:16,810 --> 00:50:20,680 And you can see over time, the growth 1070 00:50:20,680 --> 00:50:23,860 of these various different markets and the fact 1071 00:50:23,860 --> 00:50:26,350 that federal agency securities grew 1072 00:50:26,350 --> 00:50:29,230 but mortgage-related securities probably 1073 00:50:29,230 --> 00:50:34,097 was the fastest growing subject to the asset backed market 1074 00:50:34,097 --> 00:50:35,180 as well, which is related. 1075 00:50:35,180 --> 00:50:36,266 Yeah? 1076 00:50:36,266 --> 00:50:38,710 AUDIENCE: [INAUDIBLE] asset backed and mortgage-related? 1077 00:50:38,710 --> 00:50:40,890 ANDREW LO: Mortgage-related is specifically about mortgages. 1078 00:50:40,890 --> 00:50:42,370 Asset backed could be any asset. 1079 00:50:42,370 --> 00:50:45,460 So for example, consumer credit card loans-- 1080 00:50:45,460 --> 00:50:49,240 you can package that up and sell claims on that 1081 00:50:49,240 --> 00:50:51,820 and that would be under asset backed securities, 1082 00:50:51,820 --> 00:50:53,590 not under mortgages. 1083 00:50:53,590 --> 00:50:56,630 But they're related, obviously. 1084 00:50:56,630 --> 00:50:57,740 OK. 1085 00:50:57,740 --> 00:50:59,510 So these numbers will give you an idea 1086 00:50:59,510 --> 00:51:04,110 of what's out there, what's significant and what's not. 1087 00:51:04,110 --> 00:51:07,340 This gives you a sense of the amount of trading that goes on. 1088 00:51:07,340 --> 00:51:15,260 While these securities are large in size and large in flow, 1089 00:51:15,260 --> 00:51:19,860 they are not that large in terms of transactions. 1090 00:51:19,860 --> 00:51:24,720 So unlike stocks that trade all the time, 1091 00:51:24,720 --> 00:51:30,960 we don't have an organized US bond exchange like the NYSE, 1092 00:51:30,960 --> 00:51:33,810 where people trade bonds every minute of the day. 1093 00:51:33,810 --> 00:51:37,950 There are bonds being traded every minute of the day, 1094 00:51:37,950 --> 00:51:40,710 but they aren't typically the same ones. 1095 00:51:40,710 --> 00:51:43,800 Whereas I would argue that Microsoft and Google 1096 00:51:43,800 --> 00:51:48,120 are traded every minute of the trading day. 1097 00:51:48,120 --> 00:51:50,790 So typically, bonds do trade, but they don't 1098 00:51:50,790 --> 00:51:54,310 trade on organized exchanges. 1099 00:51:54,310 --> 00:51:56,860 And that makes them less liquid. 1100 00:51:56,860 --> 00:52:03,400 Even the very, very safest and most liquid bonds 1101 00:52:03,400 --> 00:52:08,170 do not trade as frequently as equities and futures. 1102 00:52:08,170 --> 00:52:11,424 So the liquidity characteristics can be very, very different 1103 00:52:11,424 --> 00:52:12,340 for these instruments. 1104 00:52:12,340 --> 00:52:15,820 And these complex securities, like collateralized debt 1105 00:52:15,820 --> 00:52:17,890 obligations, mortgage backed securities-- 1106 00:52:17,890 --> 00:52:21,400 they trade even less frequently because they are highly complex 1107 00:52:21,400 --> 00:52:24,490 and it's not easy to figure out what their prices are 1108 00:52:24,490 --> 00:52:28,350 from minute to minute every day. 1109 00:52:28,350 --> 00:52:31,030 Now the fixed income market participants 1110 00:52:31,030 --> 00:52:35,350 that we're going to be focused on fall into three groups-- 1111 00:52:35,350 --> 00:52:40,260 issuers, intermediaries, and investors. 1112 00:52:40,260 --> 00:52:45,300 Issuers, of course, are the end users of these instruments. 1113 00:52:45,300 --> 00:52:48,030 They include everything from governments 1114 00:52:48,030 --> 00:52:51,010 down to foreign institutions. 1115 00:52:51,010 --> 00:52:54,840 These are the folks that issue pieces of paper that are IOUs 1116 00:52:54,840 --> 00:52:57,000 and they get cash in return for that 1117 00:52:57,000 --> 00:52:59,320 to finance their operations. 1118 00:52:59,320 --> 00:53:03,240 And in return, they pay interest, OK? 1119 00:53:03,240 --> 00:53:05,830 The investors, of course, are the folks 1120 00:53:05,830 --> 00:53:11,320 that are buying the paper or essentially providing loans. 1121 00:53:11,320 --> 00:53:13,090 So every once in a while, when I go out 1122 00:53:13,090 --> 00:53:15,970 with my colleagues for lunch in the finance group, 1123 00:53:15,970 --> 00:53:19,060 one of my colleagues will say, can I sell you a bond, 1124 00:53:19,060 --> 00:53:20,650 I didn't go to the cash machine today, 1125 00:53:20,650 --> 00:53:23,440 and I need you to help me finance my lunch. 1126 00:53:23,440 --> 00:53:28,720 These are how finance professors speak, unfortunately. 1127 00:53:28,720 --> 00:53:32,830 The idea about buying somebody bond 1128 00:53:32,830 --> 00:53:36,070 is you're lending them money, right? 1129 00:53:36,070 --> 00:53:38,870 So instead of saying could you let me $5, we have to say, 1130 00:53:38,870 --> 00:53:41,650 well, I'm going to issue a bond, can you buy my bond. 1131 00:53:44,640 --> 00:53:47,380 The investors are the ones that are loaning 1132 00:53:47,380 --> 00:53:50,260 the money to the issuers. 1133 00:53:50,260 --> 00:53:50,920 OK? 1134 00:53:50,920 --> 00:53:53,510 And these include, as I said, governments, pension funds, 1135 00:53:53,510 --> 00:53:58,300 insurance companies, banks, hedge funds, and so on. 1136 00:53:58,300 --> 00:54:02,590 In the middle of all of this are the intermediaries. 1137 00:54:02,590 --> 00:54:05,630 Primary dealers, other kinds of dealers, 1138 00:54:05,630 --> 00:54:09,490 investment banks, the credit rating agencies, 1139 00:54:09,490 --> 00:54:10,840 the credit enhancers. 1140 00:54:10,840 --> 00:54:12,520 What do I mean by credit enhancers? 1141 00:54:12,520 --> 00:54:17,350 Folks that help credit markets by providing insurance 1142 00:54:17,350 --> 00:54:20,470 to the credit, like private mortgage insurance. 1143 00:54:20,470 --> 00:54:21,910 And liquidity enhancers. 1144 00:54:21,910 --> 00:54:23,380 These are the counter-parties that 1145 00:54:23,380 --> 00:54:25,660 try to bring buyers and sellers together 1146 00:54:25,660 --> 00:54:28,930 to increase the liquidity of the markets. 1147 00:54:28,930 --> 00:54:33,530 The dislocation has been going on in the intermediary sector 1148 00:54:33,530 --> 00:54:37,250 and of course, the issuers are having some difficulties 1149 00:54:37,250 --> 00:54:39,290 now because they're going to have to make good 1150 00:54:39,290 --> 00:54:40,610 on these kind of claims. 1151 00:54:40,610 --> 00:54:44,240 And the people that are going to be hurt ultimately 1152 00:54:44,240 --> 00:54:47,630 will be the investors who are holding pieces of paper that 1153 00:54:47,630 --> 00:54:50,070 may not be worth as much as possible. 1154 00:54:50,070 --> 00:54:52,670 And so the efforts now at trying to shore up 1155 00:54:52,670 --> 00:54:56,540 the finances of Fannie Mae and Freddie Mac, Lehman, Merrill, 1156 00:54:56,540 --> 00:54:59,060 and all of these other institutions 1157 00:54:59,060 --> 00:55:01,540 is really aimed at trying to help out 1158 00:55:01,540 --> 00:55:05,240 a combination of the intermediaries and the issuers. 1159 00:55:05,240 --> 00:55:07,850 Because if you don't help out this group, then what happens 1160 00:55:07,850 --> 00:55:11,120 is that this group is going to get hit. 1161 00:55:11,120 --> 00:55:14,430 So Lehman Brothers, for example, is an intermediary. 1162 00:55:14,430 --> 00:55:16,212 They are one of the biggest dealers 1163 00:55:16,212 --> 00:55:17,420 in these kinds of securities. 1164 00:55:17,420 --> 00:55:20,330 Merrill Lynch is also one of the biggest dealers 1165 00:55:20,330 --> 00:55:21,530 in these kind of securities. 1166 00:55:21,530 --> 00:55:26,930 As dealers, they end up taking exposure on their own books. 1167 00:55:26,930 --> 00:55:30,050 That's not a great idea in general 1168 00:55:30,050 --> 00:55:33,710 because the best of all worlds is 1169 00:55:33,710 --> 00:55:36,624 you're the toll collector that's collecting tolls 1170 00:55:36,624 --> 00:55:38,790 for traffic going back and forth and back and forth. 1171 00:55:38,790 --> 00:55:40,630 You don't take any risk. 1172 00:55:40,630 --> 00:55:43,870 But if not everybody wants to go back and forth 1173 00:55:43,870 --> 00:55:45,910 and back and forth and back and forth, you 1174 00:55:45,910 --> 00:55:49,690 might stand ready to do one side of the business 1175 00:55:49,690 --> 00:55:52,880 and let other folks do the other side of the business. 1176 00:55:52,880 --> 00:55:56,170 But if you're not careful in laying off your exposure 1177 00:55:56,170 --> 00:55:58,810 you can end up getting hurt pretty badly. 1178 00:55:58,810 --> 00:56:02,050 An example of this that happened in equity markets in 1987 1179 00:56:02,050 --> 00:56:04,010 was when the stock market crashed. 1180 00:56:04,010 --> 00:56:07,750 That was a very serious event on October 19, 1987, 1181 00:56:07,750 --> 00:56:11,560 where in one single day, the US stock market lost 1182 00:56:11,560 --> 00:56:13,990 approximately 20% of its value. 1183 00:56:13,990 --> 00:56:15,550 In one day. 1184 00:56:15,550 --> 00:56:17,680 Now, that's a serious dislocation. 1185 00:56:17,680 --> 00:56:19,480 We're going to talk about that this Friday 1186 00:56:19,480 --> 00:56:20,920 when we run this trading game. 1187 00:56:20,920 --> 00:56:23,770 I'm going to have all of you engage in trading over a very 1188 00:56:23,770 --> 00:56:24,770 short period of time. 1189 00:56:24,770 --> 00:56:27,130 So you're going to be under tremendous pressure as well. 1190 00:56:27,130 --> 00:56:29,920 You tell me how easy it is to think on the fly. 1191 00:56:29,920 --> 00:56:32,680 What happened that morning of October 19, 1987, 1192 00:56:32,680 --> 00:56:34,942 is that the specialists, the dealers, who 1193 00:56:34,942 --> 00:56:36,400 are supposed to be making markets-- 1194 00:56:36,400 --> 00:56:38,140 their job is to buy when everybody 1195 00:56:38,140 --> 00:56:42,120 wants to sell and to sell when everybody wants to buy. 1196 00:56:42,120 --> 00:56:44,670 They got it there in the morning at 9:30 1197 00:56:44,670 --> 00:56:49,120 and were overwhelmed with everybody wanting to sell. 1198 00:56:49,120 --> 00:56:50,530 So they ended up buying-- 1199 00:56:50,530 --> 00:56:51,950 the specialists. 1200 00:56:51,950 --> 00:56:52,720 And they bought. 1201 00:56:52,720 --> 00:56:56,360 And as they bought, what happened to the price? 1202 00:56:56,360 --> 00:56:57,170 Kept going down. 1203 00:56:57,170 --> 00:56:58,753 That means more people wanted to sell. 1204 00:56:58,753 --> 00:56:59,630 So they kept buying. 1205 00:56:59,630 --> 00:57:01,770 And as they bought, what happened? 1206 00:57:01,770 --> 00:57:03,200 Price kept going down. 1207 00:57:03,200 --> 00:57:04,820 And it kept going down all the way. 1208 00:57:04,820 --> 00:57:07,460 So the stuff that they bought in the morning 1209 00:57:07,460 --> 00:57:11,390 was worth 20% less in the afternoon. 1210 00:57:11,390 --> 00:57:15,710 And these market makers also used leverage. 1211 00:57:15,710 --> 00:57:18,770 So many of their capital bases were wiped out 1212 00:57:18,770 --> 00:57:22,340 by that 20% decline in a day because they were just 1213 00:57:22,340 --> 00:57:24,620 doing their job. 1214 00:57:24,620 --> 00:57:27,630 In fact, there was a story-- 1215 00:57:27,630 --> 00:57:30,830 the floor of the New York Stock Exchange was literally packed. 1216 00:57:30,830 --> 00:57:33,980 I mean, it was tighter than a Tokyo subway train 1217 00:57:33,980 --> 00:57:35,510 during rush hour, OK? 1218 00:57:35,510 --> 00:57:36,180 It was packed. 1219 00:57:36,180 --> 00:57:40,880 I mean literally, you were elbow to elbow against others. 1220 00:57:40,880 --> 00:57:43,060 Unfortunately, one of the market makers 1221 00:57:43,060 --> 00:57:47,890 had a heart attack around 1 or 2 o'clock. 1222 00:57:47,890 --> 00:57:53,470 And he wasn't able to fall to the ground 1223 00:57:53,470 --> 00:57:56,980 until the market closed at four because he was propped up 1224 00:57:56,980 --> 00:58:01,480 by everybody else desperate to try to transact. 1225 00:58:01,480 --> 00:58:03,550 And he died. 1226 00:58:03,550 --> 00:58:10,780 And somebody who was near him said, you know, look, 1227 00:58:10,780 --> 00:58:12,061 I knew the guy was in trouble. 1228 00:58:12,061 --> 00:58:13,310 But what was I supposed to do. 1229 00:58:13,310 --> 00:58:17,530 I was 100,000 shares long and I had to unload my portfolio. 1230 00:58:17,530 --> 00:58:19,000 I mean, they were trading. 1231 00:58:19,000 --> 00:58:22,540 That's how desperate it was on that day. 1232 00:58:22,540 --> 00:58:28,420 So this kind of intermediation can be extraordinarily high 1233 00:58:28,420 --> 00:58:29,140 pressure. 1234 00:58:29,140 --> 00:58:32,920 And when you're engaged in an unwinding of portfolios, 1235 00:58:32,920 --> 00:58:34,310 dislocation can occur. 1236 00:58:34,310 --> 00:58:36,760 So we're seeing that right now play out. 1237 00:58:36,760 --> 00:58:39,296 And it's a little different because we're dealing 1238 00:58:39,296 --> 00:58:40,420 with fixed income security. 1239 00:58:40,420 --> 00:58:42,940 So I'm going to come back and talk about that. 1240 00:58:42,940 --> 00:58:43,660 OK. 1241 00:58:43,660 --> 00:58:45,130 That's the background to what we're 1242 00:58:45,130 --> 00:58:47,980 going to study-- these fixed income markets and fixed income 1243 00:58:47,980 --> 00:58:48,654 instruments. 1244 00:58:48,654 --> 00:58:51,070 I'm going to ask you to read Brealey and Myers so that you 1245 00:58:51,070 --> 00:58:52,945 can get up to speed on institutional details. 1246 00:58:52,945 --> 00:58:54,520 And there are quite a few, so I would 1247 00:58:54,520 --> 00:58:56,530 urge you to please do that reading 1248 00:58:56,530 --> 00:58:59,320 and make sure that you understand the basic terms 1249 00:58:59,320 --> 00:59:00,970 of these markets. 1250 00:59:00,970 --> 00:59:04,600 What I want to talk about, though, is the framework. 1251 00:59:04,600 --> 00:59:08,050 I want to give you a framework for thinking about evaluating 1252 00:59:08,050 --> 00:59:09,065 fixed income securities. 1253 00:59:09,065 --> 00:59:10,690 And really, as I said, it's a framework 1254 00:59:10,690 --> 00:59:11,606 that you already know. 1255 00:59:11,606 --> 00:59:13,330 You already have that in your mind. 1256 00:59:13,330 --> 00:59:16,900 I've already changed the way you think about financial markets 1257 00:59:16,900 --> 00:59:20,860 by asking you to focus on cash flows and timing and the time 1258 00:59:20,860 --> 00:59:21,590 value of money. 1259 00:59:21,590 --> 00:59:24,220 That's all you need in order to value fixed income securities. 1260 00:59:24,220 --> 00:59:26,680 The rest is just institutional detail, 1261 00:59:26,680 --> 00:59:29,470 which, while very important, is not something 1262 00:59:29,470 --> 00:59:31,570 that we need to worry about in class. 1263 00:59:31,570 --> 00:59:34,240 But I'll leave to you to focus on. 1264 00:59:34,240 --> 00:59:37,620 So let me give you an example of valuation and how to do it. 1265 00:59:37,620 --> 00:59:38,920 It will be a very short one. 1266 00:59:38,920 --> 00:59:41,090 You all know how to do this. 1267 00:59:41,090 --> 00:59:45,630 We've got a sequence of cash flows for a particular security 1268 00:59:45,630 --> 00:59:47,750 that I'm going to call a bond. 1269 00:59:47,750 --> 00:59:50,720 And in particular, I'm going to call this a coupon bond. 1270 00:59:50,720 --> 00:59:53,300 Now with a coupon bond, there are 1271 00:59:53,300 --> 00:59:54,780 two things you need to know. 1272 00:59:54,780 --> 00:59:57,020 You need to know what the coupon is 1273 00:59:57,020 --> 01:00:00,020 and you need to know the maturity-- how 1274 01:00:00,020 --> 01:00:02,450 many dates that it pays off. 1275 01:00:02,450 --> 01:00:04,910 One of the institutional details that you'll need to know 1276 01:00:04,910 --> 01:00:09,500 is that coupon bonds typically pay semiannually. 1277 01:00:09,500 --> 01:00:12,530 Some coupon bonds can pay quarterly, but most of them, 1278 01:00:12,530 --> 01:00:14,960 as a matter of convention, pay semiannually. 1279 01:00:14,960 --> 01:00:16,670 But that changes depending on the market. 1280 01:00:16,670 --> 01:00:18,878 So you'll need to learn a little bit about those kind 1281 01:00:18,878 --> 01:00:20,246 of conventions. 1282 01:00:20,246 --> 01:00:21,620 I'm not going to worry about that 1283 01:00:21,620 --> 01:00:23,078 and I'm going to abstract from that 1284 01:00:23,078 --> 01:00:27,590 and simply say that here's a three year coupon bond that 1285 01:00:27,590 --> 01:00:31,740 has a principal of $1,000. 1286 01:00:31,740 --> 01:00:35,510 That's the typical principal or face value 1287 01:00:35,510 --> 01:00:37,400 that a bond comes with. 1288 01:00:37,400 --> 01:00:40,220 So this piece of paper is an IOU. 1289 01:00:40,220 --> 01:00:46,700 And it says, I owe you $1,000 at the end of three years, OK? 1290 01:00:46,700 --> 01:00:49,730 But I'm not going to pay you just $1,000 1291 01:00:49,730 --> 01:00:51,110 at the end of three years. 1292 01:00:51,110 --> 01:00:57,330 I'm going to pay you $50 every year for those three years. 1293 01:00:57,330 --> 01:01:02,910 So the coupon is a 5% coupon. 1294 01:01:02,910 --> 01:01:07,770 So when you hear of a coupon bond that's a 5% three year 1295 01:01:07,770 --> 01:01:11,830 bond, that term that I just uttered 1296 01:01:11,830 --> 01:01:17,050 means that it pays off $1,000 at the end of three years. 1297 01:01:17,050 --> 01:01:21,609 And in the interim, it pays off $50 a year as it's coupons. 1298 01:01:21,609 --> 01:01:22,900 Why is it called a coupon bond? 1299 01:01:22,900 --> 01:01:25,840 In the old days, the bond was actually a piece of paper 1300 01:01:25,840 --> 01:01:28,900 and on the bottom of it were little coupons. 1301 01:01:28,900 --> 01:01:31,630 And you'd clip the coupons and mail them in. 1302 01:01:31,630 --> 01:01:33,880 And once a year when you mail them in, or twice a year 1303 01:01:33,880 --> 01:01:37,521 when you mail them in, you get back $50. 1304 01:01:37,521 --> 01:01:38,020 OK? 1305 01:01:38,020 --> 01:01:40,330 Nowadays, it's all done electronically. 1306 01:01:40,330 --> 01:01:44,220 So first thing you do in order to value of the cash flow-- 1307 01:01:44,220 --> 01:01:46,060 draw a time line, OK? 1308 01:01:46,060 --> 01:01:48,460 We're here sitting at zero, that's today. 1309 01:01:48,460 --> 01:01:50,140 And you've got three years to go. 1310 01:01:50,140 --> 01:01:52,240 One year, two year, three years. 1311 01:01:52,240 --> 01:01:55,500 At the end of three years, you get paid your principal-- 1312 01:01:55,500 --> 01:01:57,250 $1,000-- 1313 01:01:57,250 --> 01:01:58,860 plus the coupon. 1314 01:01:58,860 --> 01:02:01,460 There are three coupons for three years. 1315 01:02:01,460 --> 01:02:07,170 And so at the end of this bond, when the bond matures, 1316 01:02:07,170 --> 01:02:09,660 you get paid $1,050. 1317 01:02:09,660 --> 01:02:13,770 And then $50, $50, and here we are at date zero. 1318 01:02:13,770 --> 01:02:17,040 Question-- what is this worth? 1319 01:02:17,040 --> 01:02:18,435 Yeah? 1320 01:02:18,435 --> 01:02:20,760 AUDIENCE: It depends on the interest rate. 1321 01:02:20,760 --> 01:02:21,500 ANDREW LO: Right. 1322 01:02:21,500 --> 01:02:25,648 AUDIENCE: [INAUDIBLE] interest rates are exactly 5%, so it's 1323 01:02:25,648 --> 01:02:27,762 worth just $1000, the same. 1324 01:02:27,762 --> 01:02:28,470 ANDREW LO: Right. 1325 01:02:28,470 --> 01:02:32,700 If the interest rate is 5%, it's worth $1,000 today. 1326 01:02:32,700 --> 01:02:33,810 That's par. 1327 01:02:33,810 --> 01:02:37,107 But if the interest rate is worth less than that-- 1328 01:02:37,107 --> 01:02:40,320 AUDIENCE: Worth more [INAUDIBLE].. 1329 01:02:40,320 --> 01:02:41,490 ANDREW LO: Right, exactly. 1330 01:02:41,490 --> 01:02:45,970 So in general, how do you figure out the price of this thing? 1331 01:02:45,970 --> 01:02:47,561 Yeah. 1332 01:02:47,561 --> 01:02:51,489 AUDIENCE: [INAUDIBLE] vice versa [INAUDIBLE]?? 1333 01:02:56,865 --> 01:02:59,490 ANDREW LO: Well no, I was asking a somewhat different question, 1334 01:02:59,490 --> 01:03:01,948 which is, how do I figure out the market value of this bond 1335 01:03:01,948 --> 01:03:03,405 today times 0. 1336 01:03:03,405 --> 01:03:05,830 AUDIENCE: [INAUDIBLE] 1337 01:03:05,830 --> 01:03:09,110 ANDREW LO: Yeah, compute the net present value, NPV. 1338 01:03:09,110 --> 01:03:10,560 That's one answer. 1339 01:03:10,560 --> 01:03:13,130 That was the correct textbook answer. 1340 01:03:13,130 --> 01:03:15,910 What's another answer of how do I figure out the market value? 1341 01:03:15,910 --> 01:03:16,790 AUDIENCE: Through the market. 1342 01:03:16,790 --> 01:03:17,581 ANDREW LO: Exactly. 1343 01:03:17,581 --> 01:03:18,450 Auction it off. 1344 01:03:18,450 --> 01:03:21,230 How many people want to pay me $1,000 for this today? 1345 01:03:21,230 --> 01:03:22,630 No? $1,001? 1346 01:03:22,630 --> 01:03:23,630 a thousand and whenever. 1347 01:03:23,630 --> 01:03:25,430 We can auction it off and figure out what 1348 01:03:25,430 --> 01:03:27,300 the price is from the market. 1349 01:03:27,300 --> 01:03:30,170 But in fact, what we're doing by doing so 1350 01:03:30,170 --> 01:03:31,760 is computing the present value. 1351 01:03:31,760 --> 01:03:34,070 And the way we're doing it is by figuring out 1352 01:03:34,070 --> 01:03:38,450 what the price of a dollar is in date one today. 1353 01:03:38,450 --> 01:03:41,420 What the price of a dollar in year two is today. 1354 01:03:41,420 --> 01:03:44,420 And what the price of a dollar is in year three today. 1355 01:03:44,420 --> 01:03:46,760 Getting those exchange rates and then 1356 01:03:46,760 --> 01:03:51,710 converting all of those different currencies to dollars 1357 01:03:51,710 --> 01:03:52,531 today. 1358 01:03:52,531 --> 01:03:53,030 Right? 1359 01:03:53,030 --> 01:03:56,090 We know this we've done this many times. 1360 01:03:56,090 --> 01:04:05,400 So the way that you figure out valuation 1361 01:04:05,400 --> 01:04:11,590 is by using discount rates that we get from the market 1362 01:04:11,590 --> 01:04:14,200 and applying them to compute present values, right? 1363 01:04:14,200 --> 01:04:15,650 Very simple. 1364 01:04:15,650 --> 01:04:19,420 So really, the components of evaluation for bonds, 1365 01:04:19,420 --> 01:04:22,130 if there's no uncertainty, you already know. 1366 01:04:22,130 --> 01:04:22,750 We've done it. 1367 01:04:22,750 --> 01:04:24,610 That was last lecture. 1368 01:04:24,610 --> 01:04:30,130 And for special cash flows like annuities and perpetuities, 1369 01:04:30,130 --> 01:04:32,350 we've got closed form solutions. 1370 01:04:32,350 --> 01:04:35,944 Formulas, which you can program up in Excel to figure out. 1371 01:04:35,944 --> 01:04:37,360 The kind of risks that we're going 1372 01:04:37,360 --> 01:04:42,310 to focus on later on in this lecture and in the lectures 1373 01:04:42,310 --> 01:04:45,850 after we talk about uncertainty is inflation risk. 1374 01:04:45,850 --> 01:04:47,230 We talked about that, right? 1375 01:04:47,230 --> 01:04:50,110 The fact that when you buy a bond or you sell a bond, 1376 01:04:50,110 --> 01:04:52,180 if the purchasing power changes, that's 1377 01:04:52,180 --> 01:04:55,840 going to introduce a new kind of unknown 1378 01:04:55,840 --> 01:04:57,460 that we need to grapple with. 1379 01:04:57,460 --> 01:04:58,610 Credit risk. 1380 01:04:58,610 --> 01:05:00,490 That's a major form of risk that we're 1381 01:05:00,490 --> 01:05:02,680 dealing with in financial markets today 1382 01:05:02,680 --> 01:05:05,380 and that we're likely to be dealing with for years to come. 1383 01:05:05,380 --> 01:05:10,100 You might like to borrow from me or lend to me, 1384 01:05:10,100 --> 01:05:12,500 but what about credit issues. 1385 01:05:12,500 --> 01:05:14,000 How do you know that I'm still going 1386 01:05:14,000 --> 01:05:17,900 to be around a year from now, two years from now. 1387 01:05:17,900 --> 01:05:20,960 Timing, which we'll come back to a little bit later on. 1388 01:05:20,960 --> 01:05:21,920 Liquidity. 1389 01:05:21,920 --> 01:05:23,480 And then of course, what currency. 1390 01:05:23,480 --> 01:05:25,230 If we're doing international borrowing, 1391 01:05:25,230 --> 01:05:28,790 we have an extra dimension of risk, which is fluctuations 1392 01:05:28,790 --> 01:05:30,830 in the exchange rate, OK? 1393 01:05:30,830 --> 01:05:33,980 So for the next couple of lectures, 1394 01:05:33,980 --> 01:05:37,760 I want to keep life simple and talk just about riskless debt. 1395 01:05:37,760 --> 01:05:41,330 Riskless in terms of default. So in particular I'm 1396 01:05:41,330 --> 01:05:44,610 going to be talking about US government bonds. 1397 01:05:44,610 --> 01:05:45,380 All right? 1398 01:05:45,380 --> 01:05:47,120 And I'll come back to risky debt later. 1399 01:05:47,120 --> 01:05:51,050 But for now, let's just focus on the debt that will not 1400 01:05:51,050 --> 01:05:54,500 default because you can always print up dollars to pay off 1401 01:05:54,500 --> 01:05:56,180 your creditors, right? 1402 01:05:56,180 --> 01:05:57,800 Those dollars may not be worth as much 1403 01:05:57,800 --> 01:06:00,590 as you would like them to be if you do too much of that, 1404 01:06:00,590 --> 01:06:04,980 but for now, we're not going to focus on default. 1405 01:06:04,980 --> 01:06:08,980 OK so the first kind of bond that we're 1406 01:06:08,980 --> 01:06:13,870 going to try to price is what's called a pure discount bond. 1407 01:06:13,870 --> 01:06:16,780 This is a bond that is different from a coupon bond in the sense 1408 01:06:16,780 --> 01:06:18,190 that there are no coupons. 1409 01:06:18,190 --> 01:06:23,530 So it only pays off one payment at the end. 1410 01:06:23,530 --> 01:06:25,410 And the reason it's called the discount bond 1411 01:06:25,410 --> 01:06:28,170 is because it is what it sounds like-- 1412 01:06:28,170 --> 01:06:32,160 the price of the bond today is going to be at a discount 1413 01:06:32,160 --> 01:06:34,050 from the face value. 1414 01:06:34,050 --> 01:06:37,980 If the face value is $1,000 and there's nothing in between, 1415 01:06:37,980 --> 01:06:41,640 then the price of the banters can't be greater than $1,000 1416 01:06:41,640 --> 01:06:46,240 because money today is worth more than money next year. 1417 01:06:46,240 --> 01:06:49,410 So the price today is going to be lower than $1,000. 1418 01:06:49,410 --> 01:06:52,380 It's going to be a discount over $1,000, hence 1419 01:06:52,380 --> 01:06:54,150 the term pure discount bond. 1420 01:06:54,150 --> 01:06:56,850 Now there are pure discount bonds out there. 1421 01:06:56,850 --> 01:07:00,120 US treasury bills are examples, where 1422 01:07:00,120 --> 01:07:03,450 there's one payoff at the end and nothing in between. 1423 01:07:03,450 --> 01:07:07,140 But awhile ago, financial engineers 1424 01:07:07,140 --> 01:07:08,994 came up with a rather brilliant idea, 1425 01:07:08,994 --> 01:07:11,160 which you may not think is so brilliant because it's 1426 01:07:11,160 --> 01:07:12,870 so painfully obvious. 1427 01:07:12,870 --> 01:07:15,760 The government issues coupon bonds as well. 1428 01:07:15,760 --> 01:07:17,790 And typically, for longer maturities, 1429 01:07:17,790 --> 01:07:21,780 like five years, 15 and 30 years, 1430 01:07:21,780 --> 01:07:25,980 there are no pure discount bonds for those longer maturities. 1431 01:07:25,980 --> 01:07:30,279 When the government issues them, they issue them with coupons. 1432 01:07:30,279 --> 01:07:31,820 But you can imagine a situation where 1433 01:07:31,820 --> 01:07:36,990 somebody would like to have a discount bond for 30 years. 1434 01:07:36,990 --> 01:07:38,910 And so some clever financial engineer said, 1435 01:07:38,910 --> 01:07:41,090 hey, here's what I'm going to do. 1436 01:07:41,090 --> 01:07:46,070 I'm going to buy up a lot of these treasury coupon bonds 1437 01:07:46,070 --> 01:07:50,480 and I'm going to issue discount bonds that 1438 01:07:50,480 --> 01:07:55,430 match exactly the coupon payments from my treasury 1439 01:07:55,430 --> 01:07:56,240 bonds. 1440 01:07:56,240 --> 01:07:58,190 In other words, I'm going to take the coupons 1441 01:07:58,190 --> 01:08:03,840 and strip them and offer them up as separate securities. 1442 01:08:03,840 --> 01:08:08,070 And I'm going to call these STRIPS. 1443 01:08:08,070 --> 01:08:11,910 And these STRIPS, which stands for separate trading 1444 01:08:11,910 --> 01:08:15,600 of registered interest and principal securities, 1445 01:08:15,600 --> 01:08:20,100 created a huge market for essentially 1446 01:08:20,100 --> 01:08:23,040 what are government bonds, but that 1447 01:08:23,040 --> 01:08:26,790 have been pre-processed in a relatively simple way. 1448 01:08:26,790 --> 01:08:29,500 Now, this didn't happen that long ago. 1449 01:08:29,500 --> 01:08:32,550 Maybe, I don't know, 15 or 20 years ago they created STRIPS. 1450 01:08:32,550 --> 01:08:35,146 So this is why I'm so excited about financial markets 1451 01:08:35,146 --> 01:08:37,520 and why I think all of you have tremendous opportunities. 1452 01:08:37,520 --> 01:08:40,500 It's because there are so many ideas that 1453 01:08:40,500 --> 01:08:44,640 may seem obvious to you but are not obvious to the market. 1454 01:08:44,640 --> 01:08:47,910 And there's no patent on good ideas. 1455 01:08:47,910 --> 01:08:49,830 There's no monopoly on good ideas. 1456 01:08:49,830 --> 01:08:52,920 You can actually create tremendous value 1457 01:08:52,920 --> 01:08:54,660 by coming up with what you might think 1458 01:08:54,660 --> 01:08:56,970 of as so simple a solution but that 1459 01:08:56,970 --> 01:09:01,220 solves problems for very large financial institutions. 1460 01:09:01,220 --> 01:09:02,630 Now how do we price these things. 1461 01:09:02,630 --> 01:09:05,569 Well, this is just a one liner. 1462 01:09:05,569 --> 01:09:08,600 The price of a discount on is simply 1463 01:09:08,600 --> 01:09:11,270 equal to its face value discounted 1464 01:09:11,270 --> 01:09:15,529 to the present by the appropriate interest rate. 1465 01:09:15,529 --> 01:09:16,670 That's it. 1466 01:09:16,670 --> 01:09:17,740 Pure and simple. 1467 01:09:17,740 --> 01:09:21,430 We're now done with pricing pure discount bonds. 1468 01:09:21,430 --> 01:09:23,800 There's nothing else to it. 1469 01:09:23,800 --> 01:09:25,720 OK. 1470 01:09:25,720 --> 01:09:29,290 It turns out that this is a really wonderful relationship 1471 01:09:29,290 --> 01:09:32,830 because if you've got two of these three variables 1472 01:09:32,830 --> 01:09:36,189 in this equation, you've got the third. 1473 01:09:36,189 --> 01:09:38,260 If I tell you what the face value is 1474 01:09:38,260 --> 01:09:40,580 and what the interest rate is, you've got the price. 1475 01:09:40,580 --> 01:09:43,122 If I tell you what the price is and what the face value is, 1476 01:09:43,122 --> 01:09:44,330 you've got the interest rate. 1477 01:09:44,330 --> 01:09:46,960 And if I give you the interest rate of the price, 1478 01:09:46,960 --> 01:09:50,229 you can actually figure out what the face value is, all right? 1479 01:09:50,229 --> 01:09:52,779 So this relationship is going to be very handy when 1480 01:09:52,779 --> 01:09:55,150 we look at the prices of these instruments 1481 01:09:55,150 --> 01:09:59,710 and we want to now infer what that says about what's 1482 01:09:59,710 --> 01:10:01,420 going on with interest rates. 1483 01:10:01,420 --> 01:10:04,150 In fact, what I'm going to show you next time is that when 1484 01:10:04,150 --> 01:10:06,190 we look at the newspaper and we take 1485 01:10:06,190 --> 01:10:10,210 a look at the prices of discounted coupon bonds, 1486 01:10:10,210 --> 01:10:14,755 implicit in those prices is a forecast of the future. 1487 01:10:14,755 --> 01:10:16,380 This is as close as any of you are ever 1488 01:10:16,380 --> 01:10:18,270 going to get to a crystal ball. 1489 01:10:18,270 --> 01:10:19,170 I'm serious. 1490 01:10:19,170 --> 01:10:21,970 By looking at prices, you can tell the future. 1491 01:10:21,970 --> 01:10:24,570 You can't do it perfectly, but neither 1492 01:10:24,570 --> 01:10:27,720 can Jean Dixon or any of the other astrologers, right? 1493 01:10:27,720 --> 01:10:31,680 The point is that this is our way of figuring out 1494 01:10:31,680 --> 01:10:35,500 the collective intelligence of all market participants 1495 01:10:35,500 --> 01:10:38,040 and what they think of what was going to happen. 1496 01:10:38,040 --> 01:10:43,980 And because of that, because of that kind of market knowledge, 1497 01:10:43,980 --> 01:10:46,980 I can tell you that with 99.5% confidence, 1498 01:10:46,980 --> 01:10:49,500 tomorrow, the Fed will cut its interest rate. 1499 01:10:49,500 --> 01:10:50,790 Now how do I know that. 1500 01:10:50,790 --> 01:10:51,840 I don't know that. 1501 01:10:51,840 --> 01:10:53,460 The Fed may not. 1502 01:10:53,460 --> 01:10:55,309 But if you look at financial markets today, 1503 01:10:55,309 --> 01:10:56,850 if you look at treasury prices today, 1504 01:10:56,850 --> 01:11:00,980 if you look at the Fed funds features, all of those prices-- 1505 01:11:00,980 --> 01:11:03,710 if you know how to read that, if you can decipher those tea 1506 01:11:03,710 --> 01:11:05,120 leaves-- 1507 01:11:05,120 --> 01:11:07,500 it will tell you that tomorrow, the Fed will cut rates. 1508 01:11:07,500 --> 01:11:10,450 So I want you to watch tomorrow to see if I'm right, OK? 1509 01:11:10,450 --> 01:11:14,360 It would be very embarrassing and potentially catastrophic 1510 01:11:14,360 --> 01:11:16,280 if I'm wrong. 1511 01:11:16,280 --> 01:11:19,120 So listen carefully. 1512 01:11:19,120 --> 01:11:21,344 Any questions? 1513 01:11:21,344 --> 01:11:22,820 Yeah. 1514 01:11:22,820 --> 01:11:24,296 AUDIENCE: [INAUDIBLE]. 1515 01:11:30,741 --> 01:11:31,740 ANDREW LO: That's right. 1516 01:11:31,740 --> 01:11:34,140 In other words, if they cut rates tomorrow, 1517 01:11:34,140 --> 01:11:36,390 then they're going to be shooting 1518 01:11:36,390 --> 01:11:39,840 one of the very few remaining bullets that they have. 1519 01:11:39,840 --> 01:11:42,172 The question is, if a bear is charging at you 1520 01:11:42,172 --> 01:11:44,130 and you've got one bullet left, you're probably 1521 01:11:44,130 --> 01:11:45,840 going to use it anyway, right? 1522 01:11:45,840 --> 01:11:48,340 So why don't we return to this issue on Wednesday 1523 01:11:48,340 --> 01:11:49,340 since we're out of time? 1524 01:11:49,340 --> 01:11:51,290 All right, thank you.