Sharpe Ratio Maximization and Expected Utility when Asset Prices have Jumps
We analyze portfolio strategies which are locally optimal, meaning that they maximize the Sharpe ratio in a general continuous time jump-diffusion framework. These portfolios are characterized explicitly and compared to utility based strategies. In the presence of jumps, maximizing the Sharpe ratio is shown to be generally inconsistent with maximizing expected utility, but this is shown to depend strongly on market completeness and whether event risk is priced.
|Date of creation:||01 Nov 2005|
|Date of revision:|
|Publication status:||Published as: Christensen, M. and Platen, E., 2007, "Sharpe Ratio Maximization and Expected Utility when Asset Prices have Jumps", International Journal of Theoretical and Applied Finance, 10(8), 1339-1364.|
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- R. C. Merton, 1970.
"Optimum Consumption and Portfolio Rules in a Continuous-time Model,"
58, Massachusetts Institute of Technology (MIT), Department of Economics.
- 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.
- Eckhard Platen, 2004. "Capital Asset Pricing for Markets with Intensity Based Jumps," Research Paper Series 143, Quantitative Finance Research Centre, University of Technology, Sydney.
- Morten Christensen & Eckhard Platen, 2004. "A General Benchmark Model for Stochastic Jump Sizes," Research Paper Series 139, Quantitative Finance Research Centre, University of Technology, Sydney.
- James Tobin, 1956.
"Liquidity Preference as Behavior Towards Risk,"
Cowles Foundation Discussion Papers
14, Cowles Foundation for Research in Economics, Yale University.
- Back, Kerry, 1991. "Asset pricing for general processes," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 371-395.
- John H. Cochrane & Jesús Saá-Requejo, 1998.
"Beyond Arbitrage: "Good-Deal" Asset Price Bounds in Incomplete Markets,"
CRSP working papers
430, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
- 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.
- 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.
- Martin Kulldorff & Ajay Khanna, 1999. "A generalization of the mutual fund theorem," Finance and Stochastics, Springer, vol. 3(2), pages 167-185.
- Holger Kraft & Mogens Steffensen, 2005. "How to Invest Optimally in Corporate Bonds: A Reduced-Form Approach," FRU Working Papers 2005/07, University of Copenhagen. Department of Economics. Finance Research Unit.
- Schweizer, Martin, 1992. "Martingale densities for general asset prices," Journal of Mathematical Economics, Elsevier, vol. 21(4), pages 363-378.
- Lars Peter Hansen & Ravi Jagannathan, 1990.
"Implications of Security Market Data for Models of Dynamic Economies,"
NBER Technical Working Papers
0089, National Bureau of Economic Research, Inc.
- 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.
- Lars Peter Hansen & Ravi Jagannathan, 1990. "Implications of security market data for models of dynamic economies," Discussion Paper / Institute for Empirical Macroeconomics 29, Federal Reserve Bank of Minneapolis.
- Nielsen, Lars Tyge & Vassalou, Maria, 2004. "Sharpe Ratios and Alphas in Continuous Time," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(01), pages 103-114, March.
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