Dynamic asset allocation with stochastic income and interest rates.

We solve for optimal portfolios when interest rates and labor income are stochastic with the expected income growth being affine in the short-term interest rate in order to encompass business cycle variations in wages. Our calibration based on the Panel Study of Income Dynamics (PSID) data supports this relation with substantial variation across individuals in the slope of this affine function. The slope is crucial for the valuation and riskiness of human capital and for the optimal stock/bond/cash allocation both in an unconstrained complete market and in an incomplete market with liquidity and short-sales constraints.

[1]  Robert Buff.  Continuous Time Finance , 2002 .

[2]  Oldrich A. Vasicek,et al.  Abstract: An Equilibrium Characterization of the Term Structure , 1977, Journal of Financial and Quantitative Analysis.

[3]  Yihong Xia,et al.  Stochastic Interest Rates and the Bond-Stock Mix , 2000 .

[4]  Claus Munk.  Optimal consumption/investment policies with undiversifiable income risk and liquidity constraints , 2000 .

[5]  Investment, Income, and Incompleteness , 2009 .

[6]  Jun Liu.  Portfolio Selection in Stochastic Environments , 1999 .

[7]  Mike Staunton,et al.  Triumph of the Optimists: 101 Years of Global Investment Returns Princeton , 2002 .

[8]  Steven J. Davis,et al.  Using Financial Assets to Hedge Labor Income Risks: Estimating the Benefits , 2000 .

[9]  J. Heaton,et al.  Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk , 2000 .

[10]  R. C. Merton,et al.  Optimum Consumption and Portfolio Rules in a Continuous-Time Model* , 1975 .

[11]  T. Roncalli,et al.  Strategic Asset Allocation , 2011 .

[12]  J. Huston McCulloch,et al.  U.S. term structure data, 1947-1991 , 1993 .

[13]  Pascal J. Maenhout,et al.  Consumption and Portfolio Choice over the Life Cycle , 2005 .

[14]  Jakša Cvitanić,et al.  Convex Duality in Constrained Portfolio Optimization , 1992 .

[15]  Claus Munk,et al.  The Valuation of Contingent Claims Under Portfolio Constraints: Reservation Buying and Selling Prices , 1998 .

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

[17]  Monique Jeanblanc,et al.  Optimization of consumption with labor income , 1998, Finance Stochastics.

[18]  Rajnish Mehra,et al.  Junior Can&Apos;T Borrow: a New Perspective on the Equity Premium Puzzle , 1998 .

[19]  R. C. Merton,et al.  Labor Supply Flexibility and Portfolio Choice in a Life-Cycle Model , 1992 .

[20]  Rui Yao,et al.  Optimal Consumption and Portfolio Choices with Risky Housing and Borrowing Constraints , 2004 .

[21]  Irrational Exuberance.  Irrational exuberance? , 2006, Nature Biotechnology.

[22]  Alex W. H. Chan.  Merton, Robert C. , 2010 .

[23]  H. He,et al.  Labor income, borrowing constraints, and equilibrium asset prices , 1993 .

[24]  Claus Munk,et al.  Dynamic asset allocation under mean-reverting returns, stochastic interest rates, and inflation uncertainty: Are popular recommendations consistent with rational behavior? , 2004 .

[25]  Chris I. Telmer,et al.  Cyclical Dynamics in Idiosyncratic Labor Market Risk , 2004, Journal of Political Economy.

[26]  Ioannis Karatzas,et al.  Brownian Motion and Stochastic Calculus , 1987 .

[27]  K. Brown,et al.  Graduate Texts in Mathematics , 1982 .

[28]  J. Detemple,et al.  A Monte Carlo Method for Optimal Portfolios , 2000 .

[29]  Bas J. M. Werker,et al.  When Can Life Cycle Investors Benefit from Time-Varying Bond Risk Premia? , 2010 .

[30]  Oldrich A. Vasicek.  An equilibrium characterization of the term structure , 1977 .

[31]  R. C. Merton,et al.  Continuous-Time Finance , 1990 .

[32]  Ben G. Fitzpatrick,et al.  Numerical Methods for an Optimal Investment-Consumption Model , 1991, Math. Oper. Res..

[33]  G. Deelstra,et al.  Optimal investment strategies in a CIR framework , 2000, Journal of Applied Probability.

[34]  A. Lynch,et al.  Labor Income Dynamics at Business-Cycle Frequencies:Implications for Portfolio Choice , 2004 .

[35]  R. Jagannathan,et al.  The Conditional CAPM and the Cross-Section of Expected Returns , 1996 .

[36]  J. Skinner,et al.  Precautionary Saving and Social Insurance , 1994, Journal of Political Economy.

[37]  Edward Omberg.  Non-Myopic Asset-Allocation with Stochastic Interest Rates , 2001 .

[38]  Claus Munk,et al.  Optimal Consumption and Investment Strategies with Stochastic Interest Rates , 2001 .

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

[40]  Luca Benzoni,et al.  Portfolio Choice Over the Life-Cycle when the Stock and Labor Markets are Cointegrated , 2007 .

[41]  Hyeng Keun Koo,et al.  Consumption and Portfolio Selection with Labor Income: A Continuous Time Approach , 1998 .

[42]  Carsten Sørensen,et al.  Dynamic Asset Allocation and Fixed Income Management , 1999, Journal of Financial and Quantitative Analysis.

[43]  Jessica A. Wachter.  Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets , 2001, Journal of Financial and Quantitative Analysis.

[44]  Borrowing Costs and the Demand for Equity over the Life Cycle , 2006, The Review of Economics and Statistics.

[45]  Otto Van Hemert,et al.  Household Interest Rate Risk Management , 2010 .

[46]  C. Julliard.  Labor income risk and asset returns , 2007 .

[47]  J. Ingersoll.  Theory of Financial Decision Making , 1987 .

[48]  Asset Allocation with Endogenous Labor Income: The Case of Incomplete Markets , 2000 .

[49]  Luis M. Viceira,et al.  Optimal Portfolio Choice for Long-Horizon Investors with Nontradable Labor Income , 1999 .

[50]  Yihong Xia,et al.  Dynamic Asset Allocation Under Inflation , 2000 .

[51]  W. Fleming,et al.  Hedging in incomplete markets with HARA utility , 1997 .

[52]  Luis M. Viceira,et al.  Spreading the Wealth Around: Reflections Inspired by Joe the Plumber , 1998 .