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Nonmyopic Optimal Portfolios in Viable Markets

Author

Listed:
  • Jaksa CVITANIC

    (Caltec)

  • Semyon MALAMUD

    (Ecole Polythechnique Fédérale de Lausanne and Swiss Finance Institute)

Abstract

We provide a representation for the nonmyopic optimal portfolio of an agent consuming only at the terminal horizon when the single state variable follows a general diffusion process and the market consists of one risky asset and a risk-free asset. The key term of our representation is a new object that we call the "rate of macroeconomic flctuation" whose properties are fundamental for the portfolio dynamics. We show that, under natural cyclicality conditions, (i) the agent's hedging demand is positive (negative) when the product of his prudence and risk tolerance is below (above) 2 and (ii) the portfolio weights decrease in risk aversion. We apply our results to study a general continuous-time capital asset pricing model and show that under the same cyclicality conditions, the market price of risk is countercyclical and the price of the risky asset exhibits excess volatility.

Suggested Citation

  • Jaksa CVITANIC & Semyon MALAMUD, 2010. "Nonmyopic Optimal Portfolios in Viable Markets," Swiss Finance Institute Research Paper Series 10-42, Swiss Finance Institute.
    • Handle: RePEc:chf:rpseri:rp1042
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    More about this item

    Keywords

    heterogeneous agents; nonmyopic optimal portfolios; hedging demand; equilibrium;
    All these keywords.

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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