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Portfolio efficiency and discount factor bounds with conditioning information: a unified approach

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Abhyankar, Abhay, 1951-, Basu, Devraj and Stremme, Alexander (2004) Portfolio efficiency and discount factor bounds with conditioning information: a unified approach. Working Paper. Warwick Business School, Financial Econometrics Research Centre, Coventry.

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Abstract

In this paper, we develop a unified framework for the study of mean-variance efficiency and discount factor bounds in the presence of conditioning information. We extend the framework of Hansen and Richard (1987) to obtain new characterizations of the efficient portfolio frontier and variance bounds on discount factors, as functions of the conditioning information. We introduce a covariance-orthogonal representation of the asset return space, which allows us to derive several new results, and provide a portfolio-based interpretation of existing results. Our analysis is inspired by, and extends the recent work of Ferson and Siegel (2001,2002), and Bekaert and Liu (2004). Our results have several important applications in empirical asset pricing, such as the construction of portfolio-based tests of asset pricing models, conditional measures of portfolio performance, and tests of return predictability.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: H Social Sciences > HG Finance
Divisions: Faculty of Social Sciences > Warwick Business School > Financial Econometrics Research Centre
Faculty of Social Sciences > Warwick Business School
Library of Congress Subject Headings (LCSH): Portfolio management, Assets (Accounting), Pricing -- Mathematical models, Stochastic analysis
Series Name: Working papers (Warwick Business School. Financial Econometrics Research Centre)
Publisher: Warwick Business School, Financial Econometrics Research Centre
Place of Publication: Coventry
Date: December 2004
Number: No.05-
Number of Pages: 39
Status: Not Peer Reviewed
Access rights to Published version: Open Access
References: Avramov, D., and T. Chordia (2003): “Stock Returns are Predictable: A Firm-Level Analysis,” working paper, University of Maryland. Bekaert, G., and J. Liu (2004): “Conditioning Information and Variance Bounds on Pricing Kernels,” Review of Financial Studies, 17(2), 339–378. Brown, S. (1976): “Optimal Portfolio Choice under Uncertainty: A Bayesian Approach,” PhD thesis, University of Chicago. Campbell, J. (1987): “Stock Returns and the Term Structure,” Journal of Financial Economics, 18, 373–399. Chamberlain, G., and M. Rothschild (1983): “Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets,” Econometrica, 51(5), 1281–1304. Cochrane, J. (1999): “Portfolio Advice for a Multi-FactorWorld,” Economic Perspectives, Federal Reserve Bank of Chicago, 23(3), 59–78. Cochrane, J. (2001): Asset Pricing. Princeton University Press, Princeton, New Jersey. Fama, E., and K. French (1988): “Dividend Yields and Expected Stock Returns,” Journal of Financial Economics, 22, 3–25. Ferson, W. (2003): “Test of Multifactor Pricing Models, Volatility Bounds and Portfolio Performance,” in Handbook of the Economics of Finance, ed. by G. Constantinides et al. Elsevier Science. Ferson, W., and A. Siegel (2001): “The Efficient Use of Conditioning Information in Portfolios,” Journal of Finance, 56(3), 967–982. Ferson, W., and A. Siegel (2003): “Stochastic Discount Factor Bounds with Conditioning Information,” Review of Financial Studies, 16(2), 567–595. Gallant, R., L. Hansen, and G. Tauchen (1990): “Using Conditional Moments of Asset Payoffs to Infer the Volatility of Intertemporal Marginal Rates of Substitution,” Journal of Econometrics, 45(1), 141–179. Hansen, L., and R. Jagannathan (1991): “Implications of Security Markets Data for Models of Dynamic Economies,” Journal of Political Economy, 99(2), 225–262. Hansen, L., and S. Richard (1987): “The Role of Conditioning Information in Deducing Testable Restrictions Implied by Dynamic Asset Pricing Models,” Econometrica, 55(3), 587–613. Haugen, R. (1997): Modern Investment Theory. Prentice Hall, NJ. Jagannathan, R. (1996): “Relation between the Slopes of the Conditional and Unconditional Mean-Standard Deviation Frontier of Asset Returns,” in Modern Portfolio Theory and its Applications: Inquiries into Asset Valuation Problems, ed. by S. Saito et al. Center for Academic Societies, Osaka, Japan. Lettau, M., and S. Ludvigson (2001): “Consumption, Aggregate Wealth and Expected Stock Returns,” Journal of Finance, 56(3), 815–849.
URI: http://wrap.warwick.ac.uk/id/eprint/1780

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