The Economics of Value Investing

Transcription

1 The Economics of Value Investing Kewei Hou 1 Haitao Mo 2 Chen Xue 3 Lu Zhang 4 1 The Ohio State University and CAFR 2 Louisiana State University 3 University of Cincinnati 4 The Ohio State University and NBER Tulane September 22, 2017

2 Introduction New insights The investment CAPM provides an economic foundation for Graham and Dodd's (1934) Security Analysis, without mispricing Expected returns vary cross-sectionally, depending on rms' investment, protability, and expected investment growth Many anomaly variables predict investment growth, in the same direction in which these variables predict returns, though the amount of growth predictability is small An appealing alternative to the residual income model and the Penman-Reggiani-Richardson-Tuna model for characterizing the cost of capital in the cross section

3 Introduction Contributions I and II An economics-based framework for security analysis, reconciling with ecient markets: Ou and Penman 1989, Lev and Thiagarajan 1993, Abarbanell and Bushee 1998, Frankel and Lee 1998, Piotroski 2000, Soliman 2008 all subscribe to the Graham-Dodd perspective The investment policy at the center of security analysis: Theory: No essential role for investment in Ohlson 1995; real options in Zhang 2000, Biddle, Chen, and Zhang 2001, with a stylized 3-period model with a constant discount rate Empirics: Explore the expected investment growth eect

4 Introduction An overview of the implied cost of capital literature A voluminous literature applies accounting-based valuation models to estimate the implied cost of capital: Claus and Thomas 2001, Gebhardt, Lee, and Swaminathan 2001, Easton 2004 Botosan 1997, Botosan and Plumlee 2002, Hribar and Jenkins 2004, Hail and Leuz 2006, Pastor, Sinha, and Swaminathan 2008, Lee, Ng, and Swaminathan 2009, Chava and Purnanandam 2010, Chen, Kacperczyk, and Ortiz-Molina 2011, Fama and French 2015 Easton and Monahan 2005, Guay, Kothari, and Shu 2011, Hou, van Dijk, and Zhang 2012

5 Introduction Contribution III: New perspective on the implied cost of capital literature Inconsistency? Accounting-based valuation models mostly assume a constant discount rate, implying returns are unpredictable The expected return is not equal to the internal rate of return Helps interpreting the weak evidence of the implied cost of capital in forecasting returns (Hughes, Liu, and Liu 2009) The constant discount rate could presumably vary across rms, but its economic relations with rm characteristics not articulated The investment CAPM oers a full-blown theory of the one-period-ahead expected return

6 Outline 1 Security Analysis: Background 2 The Investment CAPM 3 Comparison with the Residual Income Model 4 Complementarity with the Penman-Reggiani-Richardson-Tuna (2017) Model 5 Testing the Expected Investment Growth Eect

7 Outline 1 Security Analysis: Background 2 The Investment CAPM 3 Comparison with the Residual Income Model 4 Complementarity with the Penman-Reggiani-Richardson-Tuna (2017) Model 5 Testing the Expected Investment Growth Eect

8 Security Analysis Classics

9 Security Analysis Investment philosophy of Graham and Dodd (1934) and Graham (1949) Invest in undervalued securities selling well below the intrinsic value The intrinsic value is the value that can be justied by the rm's earnings, assets, and other accounting information The intrinsic value is distinct from the market value subject to articial manipulation and psychological distortion Maintain margin of safety, the intrinsic-market value distance

10 Security Analysis Timeless quotes from Graham and Dodd (1934) Security analysis is concerned with the intrinsic value of the security and more particularly with the discovery of discrepancies between the intrinsic value and the market price (p. 17) The intelligent investor would be well advised to devote his attention to the eld of undervalued securitiesissues, whether bonds or stocks, which are selling well below the levels apparently justied by a careful analysis of the relevant facts (p. 13)

11 Security Analysis Security analysis and ecient markets viewed as diametrically opposite Our Graham & Dodd investors, needless to say, do not discuss beta, the capital asset pricing model or covariance in returns among securities. These are not subjects of any interest to them. In fact, most of them would have diculty dening those terms (p. 7) Ships will sail around the world but the Flat Earth Society will ourish (p. 15).

12 Security Analysis Ou and Penman (1989, Journal of Accounting and Economics) Rather than taking prices as value benchmarks, `intrinsic values' discovered from nancial statements serve as benchmarks with which prices are compared to identify overpriced and underpriced stocks. Because deviant prices ultimately gravitate to the fundamentals, investment strategies which produce `abnormal returns' can be discovered by the comparison of prices to these fundamental values (p. 296).

13 Security Analysis Penman (2013) Passive investors accept market prices as fair value. Fundamental investors, in contrast, are active investors. They see that price is what you pay, value is what you get. They understand that the primary risk in investing is the risk of paying too much (or selling for too little). The fundamentalist actively challenges the market price: Is it indeed a fair price (p. 210, original emphasis)?

14 Outline 1 Security Analysis: Background 2 The Investment CAPM 3 Comparison with the Residual Income Model 4 Complementarity with the Penman-Reggiani-Richardson-Tuna (2017) Model 5 Testing the Expected Investment Growth Eect

15 The Investment CAPM An equilibrium framework with a representative household and heterogeneous rms The rst principle of consumption: E t [M t+1 r S it+1] = 1, in which r S it+1 = (P it+1 + D it+1 )/P it is rm i's stock return, and M t+1 = ρu (C t+1 )/U (C t ) is the stochastic discount factor Equivalently, E t [r S it+1] r ft = β M it λ Mt, in which r ft = 1/E t [M t+1 ] is the real interest rate, βit M = Cov(r S, M it+1 t+1)/var(m t+1 ) is the consumption beta, and λ Mt = Var(M t+1 )/E t [M t+1 ] is the price of the consumption risk

16 The Investment CAPM Firms' problem An individual rm i maximizes the present value of net dividends: [ ] P it + D it max E t M t+s D it+s, {I it+s,b it+s+1 } s=0 in which D it = (1 τ)[x it A it Φ(I it, A it )] I it +B it+1 r B it B it +τδa it +τ(r B it 1)B it s=0 Retaining the Miller-Modigliani 1961 dividend irrelevance Endogenous investment, diering from Feltham and Ohlson 1995, Ohlson 1995, Ohlson and Juettner-Nauroth 2005

17 The Investment CAPM Optimal investment The rst principle of investment, E t [M t+1 r I it+1 ] = 1, in which: [ ( ) ] 2 [ ( )] (1 τ) X it+1 + a Iit+1 r I 2 A it+1 + τδ + (1 δ) 1 + (1 τ)a Iit+1 A it+1 it+1 = ( ) 1 + (1 τ)a Iit A it The weighted average cost of capital equation (Modigliani-Miller 1958 Propositions II and III): r I it+1 = w it r Ba it+1 + (1 w it ) r S it+1, w it : The market leverage, r Ba it+1 : After-tax cost of debt

18 The Investment CAPM An asset pricing theory derived from the supply of risky assets Combining the neoclassical investment model with Modigliani and Miller 1958 yields an asset pricing theory: r S it+1 = r I it+1 + w ( ) it r I it+1 r Ba it+1 1 w it Cross-sectionally varying expected returns: Investment-to-assets, expected protability, and expected investment-to-assets growth Security analysis in corporate bonds: r Ba it+1 = r I it+1 1 w ( ) it r S it+1 r I it+1 w it

19 The Investment CAPM Complementarity with the consumption CAPM Complementarity: The consumption CAPM derived from the demand of risky assets, the investment CAPM from supply Both the consumption and investment CAPMs hold in equilibrium, delivering identical expected returns Immune to the aggregation problem, the investment CAPM is more empirically tractable than the consumption CAPM

20 The Investment CAPM Two valuation functions Marginal q equals average q (Hayashi 1982): [ ( )] Iit P it = 1 + (1 τ)a A it+1 B it+1 A it A new valuation function: [ ( ) ] 2 (1 τ) X it+1 + a Iit+1 2 A it+1 A it+1 [ ( )] +τδa it+1 + (1 δ) 1 + (1 τ)a Iit+1 A it+1 A it+1 P it = w it r Ba + (1 w it+1 it) r S it+1 B it+1 The value-protability relation is convex

21 Outline 1 Security Analysis: Background 2 The Investment CAPM 3 Comparison with the Residual Income Model 4 Complementarity with the Penman-Reggiani-Richardson-Tuna (2017) Model 5 Testing the Expected Investment Growth Eect

22 Comparison with the Residual Income Model The residual income model Dividend discounting model combined with clean surplus relation Preinreich 1938, Miller and Modigliani 1961, Ohlson 1995: P it Be it = P it Be it = τ=1 E[Y it+τ Be it+τ ]/(1 + r i ) τ Be it τ=1 E[Y it+τ r i Be it+τ ]/(1 + r i ) τ Be it

23 Comparison with the Residual Income Model Application of the residual income model in Fama and French (2015) Fama and French 2015 derive three predictions, all else equal: A lower P it /Be it means a higher r i A higher E[Y it+τ ] means a higher r i A higher E[ Be it+τ ]/Be it means a lower r i Fama and French 2015: Most asset pricing research focuses on short-horizon returnswe use a one-month horizon in our tests. If each stock's short-horizon expected return is positively related to its internal rate of returnif, for example, the expected return is the same for all horizonsthe valuation equation (p. 2)... Estimate the implied costs of capital for SMB, HML, RMW, and CMA, and compare with their one-period-ahead average returns

24 Comparison with the Residual Income Model Estimating the implied costs of capital, ICC Gebhardt, Lee, and Swaminathan 2001: 11 P t = Be t + τ=1 (E t[roe t+τ ] ICC) Be t+τ 1 (Et[Roet+12] ICC) Bet+11 + (1 + ICC) τ ICC (1 + ICC) 11 Easton 2004: P t = E t[y t+2 ] + ICC E t [D t+1 ] E t [Y t+1 ] ICC 2 Claus and Thomas 2001: P t = Be t+ 5 τ=1 (E t[roe t+τ ] ICC) Be t+τ 1 (Et[Roet+5] ICC) Bet+4 (1 + g) + (1 + ICC) τ (ICC g) (1 + ICC) 5

25 Comparison with the Residual Income Model Estimating the implied costs of capital, ICC Ohlson and Juettner-Nauroth 2005: ICC = A + A 2 + E t[y t+1 ] P t (g (γ 1)) in which A 1 ( (γ 1) + E ) t[d t+1 ] 2 P t g 1 ( Et [Y t+3 ] E t [Y t+2 ] + E ) t[y t+5 ] E t [Y t+4 ] 2 E t [Y t+2 ] E t [Y t+4 ]

26 Comparison with the Residual Income Model ICC is not the one-period-ahead expected return, IBES earnings forecasts, AR ICC Di AR ICC Di GLS Easton SMB [t] HML [t] RMW [t] CMA [t] CT SMB [t] HML [t] RMW [t] CMA [t] OJ

27 Comparison with the Residual Income Model ICC is not the expected return, cross-sectional earnings forecasts, AR ICC Di AR ICC Di GLS Easton SMB [t] HML [t] RMW [t] CMA [t] CT SMB [t] HML [t] RMW [t] CMA [t] OJ

28 Comparison with the Residual Income Model The relation between investment and book-to-market Fama and French 2015 argue a lower P it /Be it means a higher r i, and a higher E[ Be it+τ ]/Be it means a lower r i But HML is redundant once CMA is included Consistent with the investment CAPM: 1 + (1 τ)a I it A it = marginal cost of investment = marginal q P it A it+1 This economics-based investment-value linkage allows us to replace HML with the investment factor in the q-factor model

29 Comparison with the Residual Income Model The relation between expected investment and expected return tend to be positive Does a higher E[ Be it+τ ]/Be it mean a lower r i? Reformulating the residual income model with E t [r it+1 ]: P it = E t[y it+1 Be it+1 ] + E t [P it+1 ], 1 + E t [r it+1 ] [ ] [ ] [ ( )] E Yit+1 t Be it E Beit+1 t Be it + E Pit+1 t Be it Be it+1 Be it P it Be it = P it Be it = [ ] [ E Yit+1 t Be it + E Beit+1 t Be it 1 + E t [r it+1 ] ( Pit+1 Be it E t [r it+1 ] )] [ ] + E Pit+1 t Be it+1 A positive E[ Be it+τ ]/Be it -E t [r it+1 ] relation consistent with Lettau and Ludvigson 2002, Fama and French 2006.,

30 Comparison with the Residual Income Model Past investment does not forecast future investment, annual cross-sectional regressions of future book equity growth on past asset growth (book equity growth), Be it+τ A Be it+τ 1 = γ 0 + γ it 1 A it 1 + ɛ t+τ Be it+τ Be Be it+τ 1 = γ 0 + γ it 1 Be it 1 + ɛ t+τ τ #rms γ 0 t(γ 0) γ 1 t(γ 1) R 2 γ 0 t(γ 0) γ 1 t(γ 1) R 2 1 3, , , , , , , , , , Consistent with the lumpy investment literature in economics (Dixit and Pindyck 1994, Doms and Dunne 1998, Whited 1998)

31 Outline 1 Security Analysis: Background 2 The Investment CAPM 3 Comparison with the Residual Income Model 4 Complementarity with the Penman-Reggiani-Richardson-Tuna (2017) Model 5 Testing the Expected Investment Growth Eect

32 Complementarity with the PRRT Model The model Building on Easton, Harris, and Ohlson 1992, PRRT work with: [ ] E t [rit+1] S Pit+1 + D it+1 P it = E t = E t[y it+1 ] P it P it + E t [ ] (Pit+1 Be it+1 ) (P it Be it ) The expected change in the market-minus-book equity linked to the expected earnings growth (Shro 1995) P it

33 Complementarity with the PRRT Model Scenarios Mark-to-market: No earnings growth: P it = Be it E t [r S it+1] = E t[y it+1 ] P it P it+1 Be it+1 = P it Be it E t [r S it+1] = E t[y it+1 ] P it Growth related to risk and return: Ohlson and Juettner-Nauroth 2005: The expected return as a weighted average of the forward earnings yield and book-to-market (a proxy for the expected earnings growth)

34 Complementarity with the PRRT Model Related literature on the PRRT model Penman and Zhang 2012: Accounting conservatism expenses R&D and advertising, inducing high expected earnings growth Penman and Reggiani 2013: Deferring earnings recognition raises the expected earnings growth, connected to risk (uncertainty) Penman and Zhu 2014: Many anomaly variables forecast the forward earnings yield and two-year-ahead earnings growth in the cross section, in the same direction of forecasting returns Penman and Zhang 2016: Under conservative accounting, a lower Roe implies higher risk and a higher expected return Penman and Zhu 2016: Regress future returns on variables connected to expected earnings growth to estimate costs of capital

35 Complementarity with the PRRT Model Commonalities with the investment CAPM Both models study the one-period-ahead expected return, as opposed to the internal rate of return in the residual income model The one-period-ahead expected earnings and expected growth as the key drivers of the expected return: Earnings scaled with the market equity in PRRT, but book assets in the investment CAPM Expected earnings growth in PRRT, but expected investment growth in the investment CAPM

36 Complementarity with the PRRT Model Dierences from the investment CAPM The PRRT model uses accounting insights to link the expected market-minus-book equity change to the expected earnings growth The investment CAPM uses the investment-value linkage to substitute, analytically, capital gain with investment growth The PRRT model still has the market equity, the investment CAPM is more fundamental per the investment-value linkage Accounting conservatism implies a negative Roe-expected return relation, but the investment CAPM implies a positive relation

37 Complementarity with the PRRT Model Dierences from the investment CAPM The PRRT model picks earnings yield to proxy for the forward earnings yield, and book-to-market to proxy for the expected earnings growth to explain the cross section of expected returns The investment CAPM focuses on investment-to-assets, protability, and expected investment growth Factor spanning tests to evaluate relative performance

38 Complementarity with the PRRT Model Factor spanning tests indicate a stronger explanatory power of the q-factor model, explaining the PRRT factors, m α q β MKT β ME β I/A β Roe R 2 f ME f EP f BM α C β MKT β SMB β HML β UMD R 2 f ME f EP f BM

39 Complementarity with the PRRT Model Factor spanning tests indicate a stronger explanatory power of the q-factor model, the PRRT four-factor regressions, m α P β MKT β ME β EP β BM R 2 SMB HML UMD r ME r I/A r Roe

40 Outline 1 Security Analysis: Background 2 The Investment CAPM 3 Comparison with the Residual Income Model 4 Complementarity with the Penman-Reggiani-Richardson-Tuna (2017) Model 5 Testing the Expected Investment Growth Eect

41 Testing the Expected Investment Growth Eect Motivation Prior work examines investment and protability Hou, Xue, and Zhang 2015 See also Fama and French 2015 The expected investment growth eect unexplored

42 Testing the Expected Investment Growth Eect Cross-sectional statistics, the full sample, 1/196712/2015 mean std 5% 25% 50% 75% 95% Sue R Iv Roe log(bm) I/A Oa Rdm Log(Me) Ep Cop Abr Ilr Nop Dac Nsi

43 Testing the Expected Investment Growth Eect Univariate cross-sectional regressions of τ-quarter-ahead investment-to-assets changes, the full sample, weighted least squares, 1/197312/2015 τ Sue R 6 Iv Roe log(bm) I/A Oa Rdm 1 Slope t Slope t Slope t Slope t Slope t Slope t

44 Testing the Expected Investment Growth Eect Univariate cross-sectional regressions of τ-quarter-ahead investment-to-assets changes, the full sample, weighted least squares, 1/197312/2015 τ log(me) Ep Cop Abr Ilr Nop Dac Nsi 1 Slope t Slope t Slope t Slope t Slope t Slope t

45 Testing the Expected Investment Growth Eect Portfolio sorts to evaluate economic importance To what extent can the predictability of future investment growth be exploited in the form of trading strategies? Form cross-sectional forecasts of changes in quarterly I/A: Multiple regressions with all 16 anomaly variables Multiple regressions with only anomaly variables signicant in univariate regressions for each horizon Cross-sectional forecasts are noisy: Even with all 16 variables, R 2 varies from 13.2% to 15.6% in the full sample with WLS, and from 6.7% to 8.8% in the all-but-micro sample with OLS

46 Testing the Expected Investment Growth Eect Deciles on expected quarterly I/A changes estimated with all 16 variables, NYSE breakpoints with value-weighted returns, July 1976December 2015 τ Low High H L 1 m t m α q t q m t m α q t q m t m α q t q

47 Testing the Expected Investment Growth Eect Deciles on expected quarterly I/A changes estimated with all 16 variables, NYSE breakpoints with value-weighted returns, July 1976December 2015 τ Low High H L 4 m t m α q t q m t m α q t q m t m α q t q

48 Conclusion Value investing is consistent with ecient markets Cross-sectionally varying expected returns, depending on rms' investment, protability, and expected investment growth Empirically, many anomaly variables predict investment growth, in the same direction in which these variables predict returns, but the amount of growth predictability is small The investment CAPM oers an appealing alternative to the residual income model and the Penman-Reggiani-Richardson-Tuna (2017) model in characterizing the cost of capital

49 Conclusion Contributions An economics-based framework for security analysis, without contradicting ecient markets The investment policy at the center of security analysis A new perspective on the implied cost of capital from the investment CAPM: The existing measure is an estimate of the internal rate of return, not the one-period-ahead expected return