Dynamic Asset Allocation with Liabilities

We develop an analytical solution to the dynamic multi-period portfolio choice problem of an investor with risky liabilities and time varying investment opportunities. We use the model to compare the asset allocation of investors who take liabilities into account, assuming time varying returns and a multi-period setting with the asset allocation of myopic ALM investors. In the absence of regulatory constraints on asset allocation weights, there are significant gains to investors who have access to a dynamic asset allocation model with liabilities. The gains are smaller under the typical funding ratio constraints faced by pension funds.

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

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

[3]  P. Schotman,et al.  Strategic asset allocation with liabilities: beyond stocks and bonds , 2008 .

[4]  Lionel Martellini,et al.  Asset-Liability Management in Private Wealth Management , 2009, The Journal of Portfolio Management.

[5]  R. Hodrick.  Dividend Yields and Expected Stock Returns: Alternative Procedures for Interference and Measurement , 1991 .

[6]  Robert M. Dammon,et al.  Optimal Consumption and Investment with Capital Gains Taxes , 2001 .

[7]  E. Fama,et al.  The Information in Long-Maturity Forward Rates , 1987 .

[8]  Stijn Van Nieuwerburgh,et al.  The Returns on Human Capital: Good News on Wall Street is Bad News on Main Street , 2005 .

[9]  Colin Pugh.  Funding Rules and Actuarial Methods , 2006 .

[10]  David E. Rapach,et al.  Multi-period portfolio choice and the intertemporal hedging demands for stocks and bonds: International evidence ☆ , 2009 .

[11]  L. LeibowitzMartin.  Pension Asset Allocation Through Surplus Management , 1987 .

[12]  William T. Ziemba,et al.  The Innovest Austrian Pension Fund Financial Planning Model InnoALM , 2008, Oper. Res..

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

[14]  R. Shiller,et al.  Valuation Ratios and the Long-Run Stock Market Outlook: An Update , 2001 .

[15]  Jonathan H. Wright,et al.  The TIPS Yield Curve and Inflation Compensation , 2007 .

[16]  R. Shiller,et al.  The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors , 1986 .

[17]  Luis M. Viceira,et al.  An Empirical Decomposition of Risk and Liquidity in Nominal and Inflation-Indexed Government Bonds , 2011 .

[18]  S. P. Kothari,et al.  Asset Allocation with Inflation-Protected Bonds , 2004 .

[19]  T. Day.  Asset returns and inflation , 1981 .

[20]  C. Tebaldi,et al.  A Multivariate Model of Strategic Asset Allocation with Longevity Risk , 2014, Journal of Financial and Quantitative Analysis.

[21]  William T. Ziemba,et al.  Formulation of the Russell-Yasuda Kasai Financial Planning Model , 1998, Oper. Res..

[22]  R. Shiller,et al.  A Scorecard for Indexed Government Debt , 1996, NBER Macroeconomics Annual.

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

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

[25]  Martin L. Leibowitz,et al.  Funding Ratio Return , 1994 .

[26]  S. Sundaresan,et al.  Valuation, Optimal Asset Allocation and Retirement Incentives of Pension Plans , 1997 .

[27]  Arjan Berkelaar,et al.  A liability-relative drawdown approach to pension asset liability management , 2010 .

[28]  P. Samuelson.  LIFETIME PORTFOLIO SELECTION BY DYNAMIC STOCHASTIC PROGRAMMING , 1969 .

[29]  Michael W. Brandt.  Estimating Portfolio and Consumption Choice: A Conditional Euler Equations Approach , 1999 .

[30]  Optimal Asset Allocation in Asset Liability Management , 2007 .

[31]  Pedro Santa-Clara,et al.  Parametric Portfolio Policies: Exploiting Characteristics in the Cross Section of Equity Returns , 2004 .

[32]  R. C. Merton,et al.  AN INTERTEMPORAL CAPITAL ASSET PRICING MODEL , 1973 .

[33]  Robert J. Shiller,et al.  Chapter 5. Valuation Ratios and the Long-run Stock Market Outlook: An Update , 2005 .

[34]  E. Dimson,et al.  Equity Premia Around the World , 2011 .

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

[36]  Min Wei,et al.  Divisions of Research & Statistics and Monetary Affairs Federal Reserve Board , Washington , D . C . Tips from TIPS : the informational content of Treasury Inflation-Protected Security prices , 2008 .

[37]  E. Dimson,et al.  The Worldwide Equity Premium: A Smaller Puzzle , 2006 .

[38]  R. C. Merton,et al.  Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case , 1969 .

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

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

[41]  W. Beisheim,et al.  Intertemporal Surplus Management * , 1999 .

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

[43]  Luis M. Viceira,et al.  Understanding Inflation-Indexed Bond Markets , 2009 .

[44]  L. Glosten,et al.  On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks , 1993 .

[45]  Christian Schlag.  Strategic Asset Allocation: Portfolio Choice for Long‐Term Investors. , 2003 .

[46]  Deborah J. Lucas,et al.  Valuing and Hedging Defined Benefit Pension Obligations - The Role of Stocks Revisited , 2007 .

[47]  John M. Mulvey,et al.  An Asset and Liability Management System for Towers Perrin-Tillinghast , 2000, Interfaces.

[48]  David McCarthy,et al.  Optimal Portfolio Allocation for Corporate Pension Funds , 2007 .

[49]  A. Lynch,et al.  First Draft : March 1999 This Draft : 25 May 2000 Portfolio Choice and Equity Characteristics : Characterizing the Hedging Demands Induced by Return Predictability , 2000 .

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

[51]  S. B. Thompson,et al.  Predicting Excess Stock Returns Out of Sample: Can Anything Beat the Historical Average? , 2008 .

[52]  Jun Liu.  Portfolio Selection in Stochastic Environments , 2007 .

[53]  William T. Ziemba,et al.  Concepts, Technical Issues, and Uses of the Russell-Yasuda Kasai Financial Planning Model , 1998, Oper. Res..

[54]  P. Schotman,et al.  Strategic Asset Allocation for Long-Term Investors : Parameter Uncertainty and Prior Information 1 May 2007 , 2007 .

[55]  P. Bossaerts,et al.  Implementing Statistical Criteria to Select Return Forecasting Models: What Do We Learn? , 1999 .

[56]  William T. Ziemba,et al.  The innovest Austrian pension fund planning model InnoALM , 2013 .

[57]  William F. Sharpe,et al.  Liabilities— A New Approach , 1990 .

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

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

[60]  Luis M. Viceira,et al.  The Term Structure of the Risk–Return Trade-Off , 2005 .

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

[62]  Birger Nilsson,et al.  Dynamic Portfolio Selection: The Relevance of Switching Regimes and Investment Horizon , 2002 .

[63]  R. Shiller,et al.  Valuation Ratios and the Long-Run Stock Market Outlook , 1998 .

[64]  C. Granger,et al.  Handbook of Economic Forecasting , 2006 .

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

[66]  I. Welch,et al.  A Comprehensive Look at the Empirical Performance of Equity Premium Prediction II , 2004, SSRN Electronic Journal.

[67]  J. Campbell.  Stock Returns and the Term Structure , 1985 .

[68]  Deborah J. Lucas,et al.  How Should Public Pension Plans Invest? , 2009 .

[69]  E. Fama,et al.  BUSINESS CONDITIONS AND EXPECTED RETURNS ON STOCKS AND BONDS , 1989 .