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Small caps in international equity portfolios: the effects of variance risk

  • Massimo Guidolin

    ()

  • Giovanna Nicodano

    ()

Small capitalization stocks are known to have asymmetric risk across bull and bear markets. This paper investigates how variance risk affects international equity diversification by examining the portfolio choice of a power utility investor confronted with an asset menu that includes (but is not limited to) European and North American small equity portfolios. Stock returns are generated by a multivariate regime switching process that is able to account for both non-normality and predictability of stock returns. Non-normality matters for portfolio choice because the investor has a power utility function, implying a preference for positively skewed returns and aversion to kurtosis. We find that small cap portfolios command large optimal weights only when regime switching (and hence variance risk) is ignored. Otherwise a rational investor ought to hold a well-diversified portfolio. However, the availability of small caps substantially increases expected utility, in the order of riskless annualized gains of 3 percent and higher. These findings are robust to a number of modifications concerning the coefficient of relative risk aversion, the investment horizon, short-sale possibilities, and the exact structure of the asset menu.

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File URL: http://hdl.handle.net/10.1007/s10436-007-0090-2
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Article provided by Springer in its journal Annals of Finance.

Volume (Year): 5 (2009)
Issue (Month): 1 (January)
Pages: 15-48

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Handle: RePEc:kap:annfin:v:5:y:2009:i:1:p:15-48
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  1. Nicholas Barberis, 2000. "Investing for the Long Run when Returns Are Predictable," Journal of Finance, American Finance Association, vol. 55(1), pages 225-264, 02.
  2. Acharya, Viral V. & Pedersen, Lasse Heje, 2005. "Asset pricing with liquidity risk," Journal of Financial Economics, Elsevier, vol. 77(2), pages 375-410, August.
  3. Massimo Guidolin & Allan Timmerman, 2006. "International asset allocation under regime switching, skew and kurtosis preferences," Working Papers 2005-034, Federal Reserve Bank of St. Louis.
  4. Paul A. Gompers & Andrew Metrick, . "Institutional Investors and Equity Prices," Rodney L. White Center for Financial Research Working Papers 20-99, Wharton School Rodney L. White Center for Financial Research.
  5. Ang, Andrew & Chen, Joseph, 2002. "Asymmetric correlations of equity portfolios," Journal of Financial Economics, Elsevier, vol. 63(3), pages 443-494, March.
  6. Pesaran, M Hashem & Timmermann, Allan, 1995. " Predictability of Stock Returns: Robustness and Economic Significance," Journal of Finance, American Finance Association, vol. 50(4), pages 1201-28, September.
  7. Lubo Pástor, . "Portfolio Selection and Asset Pricing Models," CRSP working papers 356, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
  8. Allan Timmermann & Massimo Guidolin, 2006. "An econometric model of nonlinear dynamics in the joint distribution of stock and bond returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 1-22.
  9. Dimitri Vayanos, 2004. "Flight to Quality, Flight to Liquidity, and the Pricing of Risk," NBER Working Papers 10327, National Bureau of Economic Research, Inc.
  10. Andrew Ang & Joseph Chen & Yuhang Xing, 2005. "Downside Risk," NBER Working Papers 11824, National Bureau of Economic Research, Inc.
  11. Balduzzi, Pierluigi & Lynch, Anthony W., 1999. "Transaction costs and predictability: some utility cost calculations," Journal of Financial Economics, Elsevier, vol. 52(1), pages 47-78, April.
  12. Eric Jondeau & Michael Rockinger, 2006. "Optimal Portfolio Allocation under Higher Moments," European Financial Management, European Financial Management Association, vol. 12(1), pages 29-55.
  13. Liu, Jun & Longstaff, Francis & Pan, Jun, 2001. "Dynamic Asset Allocation with Event Risk," University of California at Los Angeles, Anderson Graduate School of Management qt9fm6t5nb, Anderson Graduate School of Management, UCLA.
  14. Schwert, G. William, 2003. "Anomalies and market efficiency," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 15, pages 939-974 Elsevier.
  15. Christopher M. Turner & Richard Startz & Charles R. Nelson, 1989. "A Markov Model of Heteroskedasticity, Risk, and Learning in the Stock Market," NBER Working Papers 2818, National Bureau of Economic Research, Inc.
  16. Timmermann, Allan, 2000. "Moments of Markov switching models," Journal of Econometrics, Elsevier, vol. 96(1), pages 75-111, May.
  17. George CHACKO & Luis M. VICEIRA, 1999. "Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets," FAME Research Paper Series rp11, International Center for Financial Asset Management and Engineering.
  18. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
  19. Butler, K. C. & Joaquin, D. C., 2002. "Are the gains from international portfolio diversification exaggerated? The influence of downside risk in bear markets," Journal of International Money and Finance, Elsevier, vol. 21(7), pages 981-1011, December.
  20. Robert F. Dittmar, 2002. "Nonlinear Pricing Kernels, Kurtosis Preference, and Evidence from the Cross Section of Equity Returns," Journal of Finance, American Finance Association, vol. 57(1), pages 369-403, 02.
  21. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
  22. Reinganum, Marc R., 1981. "Misspecification of capital asset pricing : Empirical anomalies based on earnings' yields and market values," Journal of Financial Economics, Elsevier, vol. 9(1), pages 19-46, March.
  23. Turner, C.M. & Startz, R. & Nelson, C.R., 1989. "The Markov Model Of Heteroskedasticity, Risk And Learning In The Stock Market," Working Papers 89-01, University of Washington, Department of Economics.
  24. Ramchand, Latha & Susmel, Raul, 1998. "Volatility and cross correlation across major stock markets," Journal of Empirical Finance, Elsevier, vol. 5(4), pages 397-416, October.
  25. Andrew Ang & Geert Bekaert, 2002. "International Asset Allocation With Regime Shifts," Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1137-1187.
  26. Giovanni Petrella, 2005. "Are Euro Area Small Cap Stocks an Asset Class? Evidence from Mean-Variance Spanning Tests," European Financial Management, European Financial Management Association, vol. 11(2), pages 229-253.
  27. Kandel, Shmuel & Stambaugh, Robert F, 1996. " On the Predictability of Stock Returns: An Asset-Allocation Perspective," Journal of Finance, American Finance Association, vol. 51(2), pages 385-424, June.
  28. Allan Timmermann & Gabriel Perez-Quiros, 1999. "Firm Size and Cyclical Variations in Stock Returns," FMG Discussion Papers dp335, Financial Markets Group.
  29. René Garcia, 1995. "Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models," CIRANO Working Papers 95s-07, CIRANO.
  30. Campbell, John Y & Chan, Yeung Lewis & Viceira, Luis M, 2001. "A Multivariate Model of Strategic Asset Allocation," CEPR Discussion Papers 3070, C.E.P.R. Discussion Papers.
  31. John Y. Campbell & Luis M. Viceira, 1998. "Consumption and Portfolio Decisions When Expected Returns Are Time Varying," Harvard Institute of Economic Research Working Papers 1835, Harvard - Institute of Economic Research.
  32. Tesar, Linda L. & Werner, Ingrid M., 1995. "Home bias and high turnover," Journal of International Money and Finance, Elsevier, vol. 14(4), pages 467-492, August.
  33. Engle, Robert, 2002. "Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 339-50, July.
  34. Berkowitz, Jeremy, 2001. "Testing Density Forecasts, with Applications to Risk Management," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 465-74, October.
  35. Massimo Guidolin & Allan Timmerman, 2005. "Size and value anomalies under regime shifts," Working Papers 2005-007, Federal Reserve Bank of St. Louis.
  36. Victor Fenton & Gallant, A. Ronald, 1996. "Qualitative and Asymptotic Performance of SNP Density Estimators," Working Papers 96-17, Duke University, Department of Economics.
  37. Brennan, Michael J. & Xia, Yihong, 1999. "Assessing Assets Pricing Anomalies," University of California at Los Angeles, Anderson Graduate School of Management qt3jx02532, Anderson Graduate School of Management, UCLA.
  38. Kim, Tong Suk & Omberg, Edward, 1996. "Dynamic Nonmyopic Portfolio Behavior," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 141-61.
  39. Das, Sanjiv Ranjan & Uppal, Raman, 2002. "Systemic Risk and International Portfolio Choice," CEPR Discussion Papers 3305, C.E.P.R. Discussion Papers.
  40. Giovanni Barone Adesi & Patrick Gagliardini & Giovanni Urga, 2004. "Testing Asset Pricing Models With Coskewness," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 474-485, October.
  41. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, 06.
  42. Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December.
  43. Massimo Guidolin & Allan Timmermann, 2005. "Economic Implications of Bull and Bear Regimes in UK Stock and Bond Returns," Economic Journal, Royal Economic Society, vol. 115(500), pages 111-143, 01.
  44. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
  45. Vayanos, Dimitri, 1998. "Transaction Costs and Asset Prices: A Dynamic Equilibrium Model," Review of Financial Studies, Society for Financial Studies, vol. 11(1), pages 1-58.
  46. Brennan, Michael J. & Subrahmanyam, Avanidhar, 1996. "Market microstructure and asset pricing: On the compensation for illiquidity in stock returns," Journal of Financial Economics, Elsevier, vol. 41(3), pages 441-464, July.
  47. Jakša Cvitanić & Vassilis Polimenis & Fernando Zapatero, 2008. "Optimal portfolio allocation with higher moments," Annals of Finance, Springer, vol. 4(1), pages 1-28, January.
  48. Gabriele Galati & Kostas Tsatsaronis, 2001. "The impact of the euro on Europe's financial markets," BIS Working Papers 100, Bank for International Settlements.
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