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Pricing kernels and dynamic portfolios


  • HENROTTE, Philippe



We investigate the structure of the pricing kernels in a general dynamic investment setting by making use of their duality with the self financing portfolios. We generalize the variance bound on the intertemporal marginal rate of substitution introduced in Hansen and Jagannathan (1991) along two dimensions, first by looking at the variance of the pricing kernels over several trading periods, and second by studying the restrictions imposed by the market prices of a set of securities. The variance bound is the square of the optimal Sharpe ratio which can be achieved through a dynamic self financing strategy. This Sharpe ratio may be further enhanced by investing dynamically in some additional securities. We exhibit the kernel which yields the smallest possible increase in optimal dynamic Sharpe ratio while agreeing with the current market quotes of the additional instruments.

Suggested Citation

  • HENROTTE, Philippe, 2002. "Pricing kernels and dynamic portfolios," Les Cahiers de Recherche 768, HEC Paris.
  • Handle: RePEc:ebg:heccah:0768

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    References listed on IDEAS

    1. Theil, Henri, 1983. "Linear algebra and matrix methods in econometrics," Handbook of Econometrics,in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 1, chapter 1, pages 3-65 Elsevier.
    2. Hansen, Lars Peter & Jagannathan, Ravi, 1997. " Assessing Specification Errors in Stochastic Discount Factor Models," Journal of Finance, American Finance Association, vol. 52(2), pages 557-590, June.
    3. Cern›, Ales, 2002. "Generalized Sharpe Ratios and Asset Pricing in Incomplete Markets," Royal Economic Society Annual Conference 2002 41, Royal Economic Society.
    4. John H. Cochrane & Jesus Saa-Requejo, 2000. "Beyond Arbitrage: Good-Deal Asset Price Bounds in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 108(1), pages 79-119, February.
    5. Longarela, Iñaki R., 2001. "An Extension of Good-Deal Asset Price Bounds," SSE/EFI Working Paper Series in Economics and Finance 0448, Stockholm School of Economics, revised 19 Oct 2001.
    6. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-262, April.
    7. HENROTTE, Philippe, 2001. "Dynamic mean-variance analysis," Les Cahiers de Recherche 729, HEC Paris.
    8. Geert Bekaert, 2004. "Conditioning Information and Variance Bounds on Pricing Kernels," Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 339-378.
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    More about this item


    pricing kernel; Sharpe ratio; self financing portfolio; variance-optimal hedging;

    JEL classification:

    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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