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The Effects of Credit Risk on Dynamic Portfolio Management: A New Computational Approach

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  • Kwamie Dunbar

    (University of Connecticut and Sacred Heart University)

Abstract

The study investigates the role of credit risk in a continuous time stochastic asset allocation model, since the traditional dynamic framework does not provide credit risk flexibility. The general model of the study extends the traditional dynamic efficiency framework by explicitly deriving the optimal value function for the infinite horizon stochastic control problem via a weighted volatility measure of market and credit risk. The model's optimal strategy was then compared to that obtained from a benchmark Markowitz-type dynamic optimization framework to determine which specification adequately reflects the optimal terminal investment returns and strategy under credit and market risks. The paper shows that an investor's optimal terminal return is lower than typically indicated under the traditional mean-variance framework during periods of elevated credit risk. Hence I conclude that, while the traditional dynamic mean-variance approach may indicate the ideal, in the presence of credit-risk it does not accurately reflect the observed optimal returns, terminal wealth and portfolio selection strategies.

Suggested Citation

  • Kwamie Dunbar, 2009. "The Effects of Credit Risk on Dynamic Portfolio Management: A New Computational Approach," Working papers 2009-03, University of Connecticut, Department of Economics, revised Feb 2009.
  • Handle: RePEc:uct:uconnp:2009-03
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    References listed on IDEAS

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    1. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
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    3. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    4. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
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    6. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
    7. Michael J. Brennan & Yihong Xia, 2000. "Stochastic Interest Rates and the Bond-Stock Mix," Review of Finance, European Finance Association, vol. 4(2), pages 197-210.
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    Cited by:

    1. Kwamie Dunbar, 2009. "Solving the Non-Linear Dynamic Asset Allocation Problem: Effects of Arbitrary Stochastic Processes and Unsystematic Risk on the Super Efficient Portfolio Space," Working papers 2009-04, University of Connecticut, Department of Economics.

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    More about this item

    Keywords

    Dynamic Strategies; Credit Risk; Mean-Variance Analysis; Optimal Portfolio Selection; Viscosity Solution; Credit Default Swaps; Default Risk; Dynamic Control;
    All these keywords.

    JEL classification:

    • G0 - Financial Economics - - General
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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