Global Equity Research Deutsche Banc Alex. Brown Global Strategy August 13, 2001 Asset Valuation & Allocation Models Dr. Edward Yardeni Chief Investment Strategist (+1) 212 469 5715 [email protected] Amalia F. Quintana Equity Strategy Analyst (+1) 212 469 5713 [email protected] Deutsche Bank - Introduction I. Fed’s Stock Valuation Model How can we judge whether stock prices are too high, too low, or just right? The purpose of this weekly report is to track a stock valuation model that attempts to answer this question. While the model is very simple, it has been quite accurate and can also be used as a stocksversus-bonds asset allocation tool. I started to study the model in 1997, after reading that the folks at the Federal Reserve have been using it. If it is good enough for them, it’s good enough for me. I dubbed it the Fed’s Stock Valuation Model (FSVM), though no one at the Fed ever officially endorsed it. On December 5, 1996, Alan Greenspan, Chairman of the Federal Reserve Board, famously worried out loud for the first time about “irrational exuberance” in the stock market. He didn’t actually say that stock prices were too high. Rather he asked the question: “But how do we know when irrational exuberance has unduly escalated asset values, which then become subject to unexpected and prolonged contractions….”1 He did it again on February 26, 1997.2 He probably instructed his staff to devise a stock market valuation model to help him evaluate the extent of the market’s exuberance. Apparently, they did so and it was made public, though buried, in the Fed’s Monetary Policy Report to the Congress, which accompanied Mr. Greenspan’s Humphrey-Hawkins testimony on July 22, 1997.3 The Fed model was summed up in one paragraph and one chart on page 24 of the 25-page document (see following table). The chart shows a strong correlation between the S&P 500 forward earnings yield (FEY)—i.e., the ratio of expected operating earnings (E) to the price index for the S&P 500 companies (P), using 12-month-ahead consensus earnings estimates compiled by Thomson Financial First Call.—and the 10-year Treasury bond yield (TBY). The average spread between the forward earnings yield and the Treasury yield (i.e., FEY-TBY) is 29 basis points since 1979. This near-zero average implies that the market is fairly valued when the two are identical: 1) FEY = TBY Of course, in the investment community, we tend to follow the price-to-earnings ratio more than the earnings yield. The ratio of the S&P 500 price index to expected earnings (P/E) is highly correlated with the reciprocal of the 10-year bond yield, and on average the two have been nearly identical. In other words, the “fair value” price for the S&P 500 (FVP) is equal to expected earnings divided by the bond yield in the Fed’s valuation model: 1 http://www.federalreserve.gov/boarddocs/speeches/1996/19961205.htm “We have not been able, as yet, to provide a satisfying answer to this question, but there are reasons in the current environment to keep this question on the table.” http://www.federalreserve.gov/boarddocs/hh/1997/february/testimony.htm 3 http://www.federalreserve.gov/boarddocs/hh/1997/july/ReportSection2.htm 2 Page 2 / August 13, 2001 / Deutsche Banc Alex. Brown US Stock Valuation & Allocation Models 2) FVP = E/TBY Excerpt from Fed’s July 1997 Monetary Policy Report: The run-up in stock prices in the spring was bolstered by unexpectedly strong corporate profits for the first quarter. Still, the ratio of prices in the S&P 500 to consensus estimates of earnings over the coming twelve months has risen further from levels that were already unusually high. Changes in this ratio have often been inversely related to changes in long-term Treasury yields, but this year’s stock price gains were not matched by a significant net decline in interest rates. As a result, the yield on tenyear Treasury notes now exceeds the ratio of twelve-month-ahead earnings to prices by the largest amount since 1991, when earnings were depressed by the economic slowdown. One important factor behind the increase in stock prices this year appears to be a further rise in analysts’ reported expectations of earnings growth over the next three to five years. The average of these expectations has risen fairly steadily since early 1995 and currently stands at a level not seen since the steep recession of the early 1980s, when earnings were expected to bounce back from levels that were quite low. The ratio of the actual S&P 500 price index to the fair value price shows the degree of overvaluation or undervaluation. History shows that markets can stay overvalued and become even more overvalued for a while. But eventually, overvaluation is corrected in three ways: 1) falling interest rates, 2) higher earnings expectations, and of course, 3) falling stock prices—the old fashioned way to decrease values. Undervaluation can be corrected by rising yields, lower earnings expectations, or higher stock prices. The Fed’s Stock Valuation Model worked quite well in the past. It identified when stock prices were excessively overvalued or undervalued, and likely to fall or rise: 1) The market was extremely undervalued from 1979 through 1982, setting the stage for a powerful rally that lasted through the summer of 1987. 2) Stock prices crashed after the market rose to a record 34% overvaluation peak during September 1987. 3) Then the market was undervalued in the late 1980s, and stock prices rose. 4) In the early 1990s, it was moderately overvalued and stock values advanced at a lackluster pace. 5) Stock prices were mostly undervalued during the mid-1990s, and a great bull market started in late 1994. 6) Ironically, the market was actually fairly valued during December 1996 when the Fed Chairman worried out loud about irrational exuberance. Deutsche Banc Alex. Brown US Stock Valuation & Allocation Models / August 13, 2001 / Page 3 7) During both the summers of 1997 and 1998, overvaluation conditions were corrected by a sharp drop in prices. 8) Then a two-month undervaluation condition during September and October 1998 was quickly reversed as stock prices soared to a remarkable record 70% overvaluation reading during January 2000. This bubble was led by the Nasdaq and technology stocks, which crashed over the rest of the year, bringing the market closer to fair value. II. New Improved Model The FSVM is missing a variable reflecting that the forward earnings yield is riskier than the government bond yield. How should we measure risk in the model? An obvious choice is to use the spread between corporate bond yields and Treasury bond yields. This spread measures the market’s assessment of the risk that some corporations might be forced to default on their bonds. Of course, such events are very unusual, especially for companies included in the S&P 500. However, the spread is only likely to widen during periods of economic distress, when bond investors tend to worry that profits won’t be sufficient to meet the debt-servicing obligations of some companies. Most companies won’t have this problem, but their earnings would most likely be depressed during such periods. The FSVM is also missing a variable for long-term earnings growth. My New Improved Model includes these variables as follows: 3) FEY = CBY – b • LTEG where CBY is Moody’s A-rated corporate bond yield. LTEG is long-term expected earnings growth, which is measured using consensus five-year earnings growth projections. I/B/E/S International compiles these monthly. The “b” coefficient is the weight that the market gives to long-term earnings projections. It can be derived as -[FEYCBY]/LTEG. Since the start of the data in 1985, this “earnings growth coefficient” averaged 0.1. Equation 3 can be rearranged to produce the following: 4) FVP = E ÷ [CBY – b • LTEG] FVP is the fair value price of the S&P 500 index. Exhibit 10 shows three fair value price series using the actual data for E, CBY, and LTEG with b = 0.1, b = 0.2, and b = 0.25. The market was fairly valued during 1999 and the first half of 2000 based on the consensus forecast that earnings could grow more than 16% per year over the next five years and that this variable should be weighted by 0.25, or two and a half times more than the average historical weight. III. Back To Basics With the benefit of hindsight, it seems that these assumptions were too optimistic. But, this is exactly the added value of the New Improved FSVM. It can be used to make explicit the Page 4 / August 13, 2001 / Deutsche Banc Alex. Brown US Stock Valuation & Allocation Models implicit assumptions in the stock market about the weight given to long-term earnings growth. The simple version has worked so well historically because the long-term growth component has been offset on average by the risk variable in the corporate bond market. IV. Stocks Versus Bonds The FSVM is a very simple stock valuation model. It should be used along with other stock valuation tools, including the New Improved version of the model. Of course, there are numerous other more sophisticated and complex models. The Fed model is not a market-timing tool. As noted above, an overvalued (undervalued) market can become even more overvalued (undervalued). However, the Fed model does have a good track record of showing whether stocks are cheap or expensive. Investors are likely to earn below (above) average returns over the next 12-24 months when the market is overvalued (undervalued). The next logical step is to convert the FSVM into a simple asset allocation model (Exhibit 1 on front cover). I’ve done so by subjectively associating the “right” stock/bond asset mixes with the degree of over/under valuation as shown in the table below. For example, whenever stocks are 10% to 20% overvalued, I would recommend that a large institutional equity portfolio should have a mix with 70% in stocks and 30% in bonds. Stocks/Bonds Asset Allocation Model More than 20% overvalued 60% stocks, 40% bonds 10% to 20% overvalued 70% stocks, 30% bonds Less than 10% overvalued or undervalued 80% stocks, 20% bonds 10% to 20% undervalued 85% stocks, 15% bonds More than 20% undervalued 90% stocks, 10% bonds Deutsche Banc Alex. Brown US Stock Valuation & Allocation Models / August 13, 2001 / Page 5 #1 ED YARDENI’S ASSET ALLOCATION MODEL: STOCKS/BONDS (for large equity funds) Stocks overvalued when greater than zero Stocks undervalued when less than zero 60/40 70/30 8/10 80/20 80/20 85/15 90/10 yardeni.com 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 * Ratio of S&P 500 index to it’s fair value (12-month forward consensus expected operating earnings per share divided by the 10-year US Treasury bond yield) minus 100. Monthly through March 1994, weekly after. Source: Thomson Financial 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 -35 -40 - Asset Allocation - Page 6 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 0 -5 -10 -15 -20 -25 -30 -35 -40 - Valuation Model #2 1725 1575 1425 1275 1125 975 FED’S STOCK VALUATION MODEL (ratio scale) 8/10 1725 1575 1425 1275 1125 975 825 S&P 500 Price Index 825 675 Fair-Value Price* 675 525 525 375 375 225 225 yardeni.com 75 75 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 * 12-month forward consensus expected S&P 500 operating earnings per share divided by 10-year US Treasury bond yield. Monthly through March 1994, weekly after. Source: Thomson Financial #3 70 60 70 FED’S STOCK VALUATION MODEL* (percent) 60 50 50 40 40 30 30 20 20 Overvalued 10 8/10 0 -10 Undervalued -20 -30 -40 10 0 -10 -20 According to the Fed model, when stock prices are overpriced, returns from stocks are likely to be subpar over the next 12-24 months. Better-than-average returns tend to come from underpriced markets. -30 yardeni.com -40 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 * Ratio of S&P 500 Index to its Fair-Value (52-week forward consensus expected operating earnings per share divided by the 10-year US Treasury bond yield) minus 100. Monthly through March 1994, weekly after. Source: Thomson Financial Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 7 - Valuation Model #4 18 This chart appeared in the Fed’s July 1997 Monetary Policy Report to the Congress. It shows a very close correlation between the earnings yield of the stock market and the bond yield. Another, more familiar way to look at it follows. 18 S&P 500 EARNINGS YIELD & BOND YIELD 17 17 16 16 15 15 Forward Earnings Yield* 14 14 10-Year US Treasury Bond Yield 13 13 12 12 11 11 10 10 9 9 8 8 7 7 6 6 5 8/10 4 5 4 3 3 yardeni.com 2 2 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 * 12-month forward consensus expected S&P 500 operating earnings per share divided by S&P 500 Index. Monthly through March 1994, weekly after. Source: Thomson Financial #5 The S&P 500 P/E (using expected earnings) is highly correlated with reciprocal of the bond yield. 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 P/E & BOND YIELD Ratio of S&P 500 Price to Expected Earnings* 8/10 Fair-Value P/E=Reciprocal of 10-Year US Treasury Bond Yield Jun Jul Jul Jul Jul Aug Aug 29 6 13 20 27 3 10 Actual 21.7 21.8 21.4 21.7 21.5 21.9 21.5 Fair 18.9 18.5 18.8 19.4 19.4 19.5 19.7 yardeni.com 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 * 12-month forward consensus expected S&P 500 operating earnings per share. Monthly through March 1994, weekly after. Source: Thomson Financial Page 8 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models - Earnings #6 75 70 75 S&P 500 EARNINGS PER SHARE (analysts’ average forecasts) Consensus Forecast for 2001 70 Consensus Forecast for 2002 65 65 Forward Earnings* 60 60 8/10 Consensus Forecast for 2000 55 50 45 Expected forward earnings is a time-weighted average of current and the coming years’ consensus forecasts. 55 50 yardeni.com I 45 II 2000 III IV I II 2001 III * 52-week forward consensus expected S&P 500 operating earnings per share. Source: Thomson Financial #7 65 65 S&P 500 EARNINGS PER SHARE: ACTUAL & EXPECTED 60 60 S&P 500 Earnings Per Share ________________________ 55 50 45 Forward Earnings* (pushed 52-weeks ahead) Q1 8/9 55 50 Operating Earnings (4-quarter sum) 45 40 40 35 35 30 30 25 25 20 20 15 15 10 yardeni.com Bottom-up 52-week forward expected earnings tends to be a good predicator of actual earnings, with a few significant misses. 10 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 * 52-week forward consensus expected S&P 500 operating earnings per share. Monthly through March 1994, weekly after. Source: Thomson Financial Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 9 - Earnings #8 75 70 75 S&P 500 CONSENSUS OPERATING EARNINGS PER SHARE (analysts’ bottom-up forecasts) Consensus Forecasts __________________ 65 70 02 01 65 12-month forward Annual estimates 60 00 99 60 Actual 4Q sum 55 50 55 50 97 96 45 40 35 Jul 98 45 40 95 91 94 93 92 35 30 30 25 25 yardeni.com 20 1990 Analysts always start out too optimistic about the prospects for earnings. 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 20 2002 Source: yardeni.com. Do not reprint without permission. #9 35 35 S&P 500 CONSENSUS OPERATING EARNINGS PER SHARE (analysts’ bottom-up forecasts, ratio scale) 30 30 Consenus Forecasts _________________ 89 12-month forward 88 Annual estimates 25 Actual 4Q sum 82 90 85 86 25 87 83 84 20 20 81 80 15 15 10 1978 yardeni.com 1979 1980 1981 1982 1983 1984 1985 1986 1987 Source: yardeni.com. Do not reprint without permission. Page 10 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models 1988 1989 1990 1991 10 - Earnings #10 25 25 S&P 500 EARNINGS PER SHARE 8/10 20 15 20 15 Consensus Growth Forecasts* _______________ 10 10 2001/2000 2002/2001 5 5 0 0 -5 -5 8/10 -10 yardeni.com -15 I II 2000 III IV I II 2001 The data on consensus expected earnings can be used to derive consensus earnings growth forecasts. -10 -15 III * Based on consensus expected S&P 500 operating earnings for years shown. Source: Thomson Financial #11 35 30 35 S&P 500 OPERATING EARNINGS PER SHARE* (yearly percent change) 30 Actual 25 25 Consensus Forecast (Proforma)* 20 20 15 15 10 10 5 5 0 Q4 0 -5 -5 -10 -10 -15 -15 yardeni.com -20 1994 1995 1996 1997 1998 1999 2000 2001 Earnings growth is highly cyclical. -20 2002 * S&P 500 composition is constantly changing. Actual data are not adjusted for these changes. Proforma forecasts are same-company comparisions. Source: Thomson Financial Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 11 - New Improved Model #12 2000 2000 NEW IMPROVED STOCK VALUATION MODEL 1800 1800 This New Improved 1600 Model builds on the 1400 simple one by adding variables for 1200 long-term expected earnings growth and 1000 risk. 1600 .25 S&P 500 Index Fair Value* 5-year earnings growth weight _____________ .25 1200 1000 .10 .20 800 Jul .20 1400 800 .10 600 600 400 400 200 200 yardeni.com 0 0 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 * Fair Value is 12-month forward consensus expected S&P 500 operating earnings per share divided by difference between Moody’s A-rated corporate bond yield less fraction (as shown above) of 5-year consensus expected earnings growth. Source: Thomson Financial #13 30 Long-term earnings growth expectations rose sharply during 1990s. Now they are coming back down to the Planet Earth. 30 LONG-TERM CONSENSUS EARNINGS GROWTH* (annual rate, percent) S&P 500 25 25 S&P 500 Technology Ex Technology 20 20 Jul 15 yardeni.com 10 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 * 5-year forward consensus expected S&P 500 earnings growth. Source: Thomson Financial Page 12 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models 15 10 - New Improved Model #14 40 MARKET’S WEIGHT FOR 5-YEAR CONSENSUS EXPECTED EARNINGS GROWTH* (percent) 35 40 35 Weight market gives to long-term earnings growth ________________________________________ 30 30 value > 13% = more than average weight value < 13% = less than average weight 25 25 20 Jul 15 20 15 Average = 13% 10 10 5 5 0 0 yardeni.com -5 Investors have on average over time subtracted 13% of their long-term earnings growth expectations from the corporate bond yield to determine earnings yield. -5 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 * Moody’s A-rated corporate bond yield less earnings yield divided by 5-year consensus expected earnings growth. #15 1.6 1.6 S&P 500 PEG RATIO 1.5 1.4 1.5 P/E ratio for S&P 500 divided by 5-year consensus expected earnings growth* Jul 1.3 1.2 1.4 1.3 Average = 1.2 1.2 1.1 1.1 1.0 1.0 .9 .9 .8 yardeni.com Historically, S&P 500 sold at P/E of 1.2 times long-term expected earnings growth, on average, with quite a bit of volatility. .8 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 * P/E using 12-month forward consensus S&P 500 expected earnings and prices at mid-month. Source: Thomson Financial Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 13 - New Improved Model #16 12 12 CORPORATE BOND YIELD (percent) 11 11 10 10 A-Rated 9 9 8 8 8/10 7 Corporate bond yield variable in New Improved Model captures risk that earnings will be weaker than expected. 7 yardeni.com 6 6 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 * Source: Moody’s Investors Service #17 300 250 300 CORPORATE SPREAD (basis points) Moody’s A-Rated corporate bond yield minus 10-Year US Treasury bond yield 8/10 200 250 200 Average = 156 150 150 100 100 yardeni.com 50 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 Source: Moody’s Investor Service Page 14 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models 50 - Global: Stock Valuation #18 80 60 80 UNITED STATES 60 Overvalued 40 40 20 Jul 0 0 -20 -20 Undervalued -40 -40 1995 30 1996 1997 1998 1999 2000 2001 30 UNITED KINGDOM Overvalued 20 20 10 10 0 0 Undervalued -10 Jul -20 150 -10 -20 1995 200 20 1996 1997 1998 1999 2000 2001 200 JAPAN 150 100 100 Overvalued 50 50 0 0 -50 Undervalued Jul -100 -100 1995 80 60 1996 1997 1998 1999 2000 2001 80 GERMANY 60 Overvalued 40 40 20 20 0 Jul -20 -40 1995 1996 1997 1998 1999 2000 2001 60 FRANCE 40 40 Overvalued 20 20 Jul 0 Undervalued -20 0 -20 -40 -40 1995 50 0 -20 Undervalued -40 60 -50 1996 1997 1998 1999 2000 2001 50 CANADA Overvalued 30 30 10 10 Jul -10 -10 Undervalued yardeni.com -30 1995 1996 1997 1998 1999 2000 -30 2001 Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 15 - Global: Expected Earnings* - #19 65 UNITED STATES (S&P 500) 325 GERMANY (DAX) 300 60 Jul 275 Jul 55 250 50 45 225 Expected EPS* (dollars) Expected EPS (euros) 200 175 40 150 35 125 30 100 25 550 525 75 89 90 91 92 93 94 95 96 97 98 99 00 01 02 89 90 91 92 93 94 95 96 97 98 99 00 01 02 CANADA (TSE 300) FRANCE (CAC 40) 280 260 500 Jul 240 475 Jul 450 425 Expected EPS (euros) Expected EPS (Canadian dollars) 220 400 200 375 180 350 160 325 300 140 275 120 250 225 360 100 89 90 91 92 93 94 95 96 97 98 99 00 01 02 89 90 91 92 93 94 95 96 97 98 99 00 01 02 UNITED KINGDOM (FT 100) JAPAN (TOPIX) 70 340 60 320 300 Jul Expected EPS (pounds) Expected EPS (yen) Jul 280 50 260 40 240 220 30 200 yardeni.com 180 89 90 91 92 93 94 95 96 97 98 99 00 01 02 89 90 91 92 93 94 95 96 97 98 99 00 01 02 * 12-month forward consensus expected operating earnings per share. Source: Thomson Financial Page 16 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models 20 - Global: United States (S&P 500) - #20 160 70 STOCK VALUATION MODEL 150 60 140 Jul 130 50 Industrial Production (1987=100) 120 40 110 100 30 90 Expected Earnings Per Share* For S&P 500 (dollars) 80 20 70 10 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 30 30 25 25 Fair-Value P/E 20 20 Jul Forward P/E 15 15 10 10 5 5 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 1825 1475 1825 1475 Jul 1125 775 Stock Price Index (S&P 500) (ratio scale) 425 Fair-Value Price (ratio scale) 1125 775 425 75 75 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 70 70 60 60 50 50 40 40 30 30 Overvalued 20 20 Jul 10 10 0 0 -10 -10 Undervalued -20 -20 -30 -30 yardeni.com -40 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 -40 02 * Source: Thomson Financial Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 17 - Global: United Kingdom (FT 100) - #21 110 350 STOCK VALUATION MODEL Jul 105 300 100 Industrial Production (1995=100) 250 95 200 Expected Earnings Per Share for FT 100 (pounds) 90 85 150 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 25 25 23 23 21 21 Fair-Value P/E Jul 19 19 Forward P/E 17 17 15 15 13 13 11 11 9 9 7 7 1988 1989 1990 1991 7900 7100 6300 5500 1992 1993 1994 1995 1996 1997 1998 1999 2000 Stock Price Index (FT 100) (ratio scale) 4700 2001 2002 7900 7100 6300 5500 Jul 4700 Fair-Value (ratio scale) 3900 3900 3100 3100 2300 2300 1500 1500 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 40 40 30 30 20 20 Overvalued 10 10 0 0 -10 Jul Undervalued -10 yardeni.com -20 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 * Source: Thomson Financial Page 18 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models 2000 2001 2002 -20 - Global: Japan (TOPIX) - #22 115 60 STOCK VALUATION MODEL Expected Earnings Per Share for TOPIX (yen) 110 50 Jul 105 Industrial Production (1995=100) 40 100 30 95 90 20 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 150 150 Fair-Value P/E 100 100 Forward P/E Jul 50 50 0 0 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 4500 4500 4000 4000 3500 3500 3000 3000 Stock Price Index (TOPIX) 2500 2500 Fair-Value 2000 2000 1500 1500 Jul 1000 1000 500 500 0 0 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 300 300 Overvalued 200 200 100 100 0 -100 0 Undervalued Jul yardeni.com 1991 -100 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 * Source: Thomson Financial Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 19 - Global: Germany (DAX) - #23 120 325 STOCK VALUATION MODEL 300 Jul 110 275 250 Industrial Production (1995=100) 225 200 175 100 150 Expected Earnings Per Share for DAX (Euros) 125 100 90 75 1991 1992 1993 1994 1995 34 32 30 28 26 24 22 20 18 16 14 12 10 8 1996 1997 1998 1999 2000 2001 2002 34 32 30 28 26 24 22 20 18 16 14 12 10 8 Fair-Value P/E Forward P/E Jul 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 11000 11000 9000 9000 7000 7000 5000 Stock Price Index (DAX) (ratio scale) 3000 Fair-Value (ratio scale) Jul 5000 3000 1000 1000 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 70 70 60 60 50 50 40 40 Overvalued 30 30 20 20 10 10 0 0 Jul -10 -10 Undervalued -20 -20 -30 yardeni.com -40 1991 1992 1993 1994 1995 1996 1997 1998 1999 * Source: Thomson Financial Page 20 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models 2000 2001 2002 -30 -40 - Global: France (CAC 40) - #24 120 118 275 STOCK VALUATION MODEL Jul 116 114 250 225 112 200 110 Industrial Production (1995=100) 108 175 106 150 104 Expected Earnings Per Share for CAC 40 (Euros) 102 100 125 98 100 1995 1996 1997 1998 1999 2000 2001 29 29 27 27 25 Fair-Value P/E 25 23 Forward P/E 23 21 21 Jul 19 19 17 17 15 15 13 13 11 11 1995 1996 1997 1998 1999 2000 2001 7900 7100 6300 5500 7900 7100 6300 5500 Jul Stock Price Index (CAC 40) (ratio scale) 4700 3900 4700 3900 Fair-Value (ratio scale) 3100 3100 2300 2300 1500 1500 1995 1996 1997 1998 1999 2000 2001 60 60 40 40 Overvalued 20 20 Jul 0 Undervalued -20 -20 yardeni.com -40 1995 1996 1997 0 1998 1999 2000 -40 2001 * Source: Thomson Financial Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 21 - Earnings & Output: G6 #25 200 200 GLOBAL G6 EARNINGS INDEX* (Jan 1989=100) 180 180 Jul The yearly percent change in our Index of Global G6 Earnings is highly correlated with the growth of G7 industrial production. 160 160 140 140 120 120 100 100 yardeni.com 80 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 80 2002 * Half US and half G5 (Canada, France, Germany, Japan and United Kingdom) 12-month forward consensus expected operating earnings. #26 30 8 GLOBAL G6 EARNINGS & PRODUCTION (yearly percent change) 25 6 20 15 4 10 2 5 0 0 G6 Earnings Index* -5 Jul -2 G7: Industrial Production -10 yardeni.com -15 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 * Half US and half G5 (Canada, France, Germany, Japan and United Kingdom) 12-month forward consensus expected operating earnings. Page 22 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models -4 - Earnings & Output: US #27 160 65 S&P 500 EARNINGS & INDUSTRIAL PRODUCTION 60 150 8/10 55 140 130 S&P 500 Forward Earnings* 50 Industrial Production (1992=100) 45 120 40 110 35 30 100 25 90 20 80 15 70 10 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 Strong correlation between US industrial production and S&P 500 forward earnings. * 52-week forward consensus expected operating earnings per share. Monthly through March 1994, weekly after. Source: Thomson Financial #28 30 30 S&P 500 EARNINGS & PRODUCTION (yearly percent change) 25 25 20 20 15 15 10 10 5 5 0 0 Jun -5 -10 S&P 500 Forward Consensus Earnings* -15 Industrial Production -20 8/10 -5 -10 -15 yardeni.com -20 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 * 52-week forward consensus expected earnings. Monthly through March 1994, weekly after. Source: Thomson Financial First Call Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 23 - Earnings & Output: US #29 86 25 S&P 500 EARNINGS & CAPACITY UTILIZATION 85 Total Capacity Utililzation (percent) 20 84 Growth in S&P 500 forward earnings highly correlated with US capacity utilization rate. Profits tend to increase (decrease) whenever utilization rate is above (below) 79%. 83 15 82 10 81 80 5 79 0 78 77 Jun -5 S&P 500 Forward Earnings* (yearly percent change) 76 -10 8/10 75 74 -15 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 03 04 * 12-month forward consensus expected operating earnings per share. Monthly through March 1994, weekly after. Source: Thomson Financial. #30 16 14 2-to-1 is the unusual ratio between growth in S&P 500 forward earnings and growth in G7 production. 32 S&P 500 EARNINGS & G7 INDUSTRIAL PRODUCTION (yearly percent change) 28 12 24 10 20 8 16 6 12 4 8 2 4 0 0 Apr -2 -4 -4 -8 S&P 500 Forward Earnings* 8/10 -6 -12 G7 Industrial Production -8 -16 yardeni.com -10 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 00 01 02 * 12-month forward consensus expected operating earnings per share. Monthly through March 1994, weekly after. Source: Thomson Financial Page 24 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models -20 - Earnings & Output: Europe #31 50 50 GERMANY: EARNINGS & ORDERS (yearly percent change) 40 40 30 30 20 20 10 10 0 0 Jun Jul -10 -10 -20 -20 Forward Earnings* Total Manufacturing Orders -30 -30 yardeni.com -40 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 -40 2002 * 12-month forward consensus expected operating earnings per share for DAX. Source: Thomson Financial #32 50 50 GERMANY: EARNINGS & IFO INDEX (yearly percent change) 40 40 30 30 20 20 10 10 0 0 German corporate profits highly correlated with factory orders and business confidence. Jul -10 -10 Jun -20 -20 Forward Earnings* IFO Business Climate Index -30 -30 yardeni.com -40 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 -40 2002 * 12-month forward consensus expected earnings per share for DAX. Source: Thomson Financial Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 25 - Earnings & Output: Europe #33 120 275 FRANCE: EARNINGS & PRODUCTION 118 116 250 Jul 114 Forward Earnings* 112 225 Industrial Production (1995=100) 110 108 200 106 104 175 102 100 150 98 96 125 94 yardeni.com 92 1991 Industrial production is key variable driving profits in France and UK. 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 100 2002 * 12-month forward consensus expected earnings per share for CAC 40. Source: Thomson Financial #34 110 340 UNITED KINGDOM: EARNINGS & PRODUCTION 108 320 Jul 106 300 104 102 280 100 260 98 Forward Earnings* 240 96 Industrial Production (1995=100) 94 220 92 200 90 yardeni.com 88 1991 1992 1993 1994 1995 1996 1997 1998 1999 * 12-month forward consensus expected earnings per share for FT 100. Source: Thomson Financial Page 26 / August 13, 2001 / Deutsche Banc Alex. Brown Asset Valuation & Allocation Models 2000 2001 2002 180 - Earnings & Output: Japan #35 115 60 JAPAN: EARNINGS & PRODUCTION Forward Earnings* 110 Industrial Production (1995=100) 50 Jul 105 40 100 30 95 yardeni.com 90 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 20 2002 * 12-month forward consensus expected operating earnings per share for TOPIX. Source: Thomson Financial #36 100 60 JAPAN: EARNINGS & TANKAN BUSINESS CONDITIONS Japan is falling into recession again. Weak yen boosts exporters’ earnings. But profits are likely to weaken along with economy. Forward Earnings* 75 Tankan Business Conditions: Major Manufacturers (diffusion index) 50 50 Jul 25 40 0 30 Q2 -25 yardeni.com -50 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 20 2002 * 12-month forward consensus expected earnings per share for TOPIX. Source: Thomson Financial Deutsche Banc Alex. Brown Asset Valuation & Allocation Models / August 13, 2001 / Page 27 Deutsche Bank Equity Sales Offices, Americas Deutsche Banc Alex. Brown Inc. 950 East Paces Ferry Road Suite 3320 Atlanta, GA 30326 (404) 812 6800 Deutsche Banc Alex. Brown Inc. 1 South Street Baltimore, MD 21202 (410) 727 1700 Deutsche Banc Alex. Brown Inc. 225 Franklin Street th 25 Floor Boston, MA 02110 (617) 988 8600 Deutsche Banc Alex. Brown Inc. 130 Liberty Street New York, NY 10006 (212) 250 2500 Deutsche Banc Alex. Brown Inc. nd 31 West 52 Street New York, NY 10019 (212) 469 5000 Deutsche Banc Alex. 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