Dynamic Asset Allocation with Event Risk

Major events often trigger abrupt changes in stock prices and volatility. We study the implications of jumps in prices and volatility on investment strategies. Using the event-risk framework of Duffie, Pan, and Singleton (2000), we provide analytical solutions to the optimal portfolio problem. Event risk dramatically affects the optimal strategy. An investor facing event risk is less willing to take leveraged or short positions. The investor acts as if some portion of his wealth may become illiquid and the optimal strategy blends both dynamic and buy-and-hold strategies. Jumps in prices and volatility both have important effects. Copyright 2003 by the American Finance Association.

[1]  N. Mankiw,et al.  The Consumption of Stockholders and Non-Stockholders , 1990 .

[2]  Gurdip Bakshi,et al.  Empirical Performance of Alternative Option Pricing Models , 1997 .

[3]  F. Longstaff Optimal Portfolio Choice and the Valuation of Illiquid Securities , 2001 .

[4]  Anthony W. Lynch Portfolio Choice and Equity Characteristics: Characterizing the Hedging Demands Induced by Return Predictability , 2001 .

[5]  R. Litzenberger,et al.  SKEWNESS PREFERENCE AND THE VALUATION OF RISK ASSETS , 1976 .

[6]  Eduardo S. Schwartz,et al.  Strategic asset allocation , 1997 .

[7]  Monique Pontier,et al.  Optimal portfolio for a small investor in a market model with discontinuous prices , 1990 .

[8]  J. Heaton,et al.  MARKET FRICTIONS, SAVINGS BEHAVIOR, AND PORTFOLIO CHOICE , 1997, Macroeconomic Dynamics.

[9]  Yihong Xia Learning About Predictability: The Effects of Parameter Uncertainty on Dynamic Asset Allocation , 2000 .

[10]  Luis M. Viceira,et al.  Who Should Buy Long-Term Bonds? , 1999 .

[11]  Liuren Wu Jumps and Dynamic Portfolio Decisions , 1999 .

[12]  David S. Bates Post-'87 crash fears in the S&P 500 futures option market , 2000 .

[13]  Jun Liu,et al.  Dynamic Derivative Strategies , 2002 .

[14]  S. Heston A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options , 1993 .

[15]  Luis M. Viceira,et al.  Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets , 1999 .

[16]  Admissible investment strategies in continuous trading , 1988 .

[17]  Jun Pan The jump-risk premia implicit in options: evidence from an integrated time-series study $ , 2002 .

[18]  Sanjiv Ranjan Das,et al.  Systemic Risk and International Portfolio Choice , 2002 .

[19]  D. Duffie,et al.  Transform Analysis and Asset Pricing for Affine Jump-Diffusions , 1999 .

[20]  N. Barberis Investing for the Long Run When Returns are Predictable , 2000 .

[21]  Luis M. Viceira,et al.  Consumption and Portfolio Decisions When Expected Returns are Time Varying , 1996 .

[22]  Xiuli Chao,et al.  Martingale Analysis for Assets with Discontinuous Returns , 1995, Math. Oper. Res..

[23]  R. C. Merton,et al.  On Estimating the Expected Return on the Market: An Exploratory Investigation , 1980 .

[24]  David M. Kreps,et al.  Martingales and arbitrage in multiperiod securities markets , 1979 .

[25]  Yihong Xia,et al.  Resolution of a Financial Puzzle , 1998 .

[26]  Pierluigi Balduzzi,et al.  Transaction costs and predictability: some utility cost calculations , 1999 .

[27]  Philippe Jorion,et al.  GLOBAL STOCK MARKETS IN THE TWENTIETH CENTURY , 1999 .

[28]  R. C. Merton,et al.  Optimum consumption and portfolio rules in a continuous - time model Journal of Economic Theory 3 , 1971 .

[29]  G. Schwert Indexes of U.S. Stock Prices from 1802 to 1987 , 1990 .

[30]  Andrew Ang,et al.  International Asset Allocation With Regime Shifts , 2002 .

[31]  Luca Benzoni,et al.  An Empirical Investigation of Continuous-Time Equity Return Models , 2001 .

[32]  Martin B. Haugh,et al.  Asset allocation and derivatives , 2001 .

[33]  Mark D. Schroder,et al.  Optimal Consumption and Portfolio Selection with Stochastic Differential Utility , 1999 .

[34]  K. Aase Ruin problems and myopic portfolio optimization in continuous trading , 1986 .

[35]  Suleyman Basak,et al.  An Equilibrium Model with Restricted Stock Market Participation , 1997 .

[36]  Ts Kim,et al.  Dynamic Nonmyopic Portfolio Behavior , 1994 .

[37]  Knut K. Aase,et al.  Optimum portfolio diversification in a general continuous-time model , 1984 .