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Pricing kernels and dynamic portfolios

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Author Info
HENROTTE, Philippe ()
Abstract

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.

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Paper provided by HEC Paris in its series Les Cahiers de Recherche with number 768.

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Length: 61 pages
Date of creation: 16 Aug 2002
Date of revision:
Handle: RePEc:ebg:heccah:0768

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Related research
Keywords: pricing kernel; Sharpe ratio; self financing portfolio; variance-optimal hedging;

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Find related papers by 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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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Hansen, Lars Peter & Jagannathan, Ravi, 1997. " Assessing Specification Errors in Stochastic Discount Factor Models," Journal of Finance, American Finance Association, vol. 52(2), pages 557-90, June. [Downloadable!] (restricted)
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  2. 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 225-62, April. [Downloadable!] (restricted)
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  3. 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. [Downloadable!] (restricted)
  4. HENROTTE, Philippe, 2001. "Dynamic mean-variance analysis," Les Cahiers de Recherche 729, HEC Paris. [Downloadable!]
  5. John H. Cochrane & Jesus Saa-Requejo, 1996. "Beyond Arbitrage: "Good-Deal" Asset Price Bounds in Incomplete Markets," NBER Working Papers 5489, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Cern›, Ales, 2002. "Generalized Sharpe Ratios and Asset Pricing in Incomplete Markets," Royal Economic Society Annual Conference 2002 41, Royal Economic Society. [Downloadable!]
  7. Longarela, Iñaki R., 2001. "An Extension of Good-Deal Asset Price Bounds," Working Paper Series in Economics and Finance 0448, Stockholm School of Economics, revised 19 Oct 2001. [Downloadable!]
  8. Geert Bekaert & Jun Liu, 1999. "Conditioning Information and Variance Bounds on Pricing Kernels," NBER Working Papers 6880, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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