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Volumn 16, Issue 3, 2006, Pages 1352-1384

On the two-times differentiability of the value functions in the problem of optimal investment in incomplete markets

Author keywords

Duality theory; Incomplete markets; Legendre transformation; Risk aversion; Risk tolerance; Utility maximization

Indexed keywords


EID: 33750495341     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/105051606000000259     Document Type: Article
Times cited : (35)

References (10)
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    • JACKA, S. D. (1992). A martingale representation result and an application to incomplete financial markets. Math. Finance 2 239-250.
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    • σ-localization and σ-martingales
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    • KALLSEN, J. (2004). σ-localization and σ-martingales. Theory Probab. Appl. 48 152-163. MR2013413
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    • The asymptotic elasticity of utility functions and optimal investment in incomplete markets
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    • KRAMKOV, D. and SCHACHERMAYER, W. (1999). The asymptotic elasticity of utility functions and optimal investment in incomplete markets. Ann. Appl. Probab. 9 904-950. MR1722287
    • (1999) Ann. Appl. Probab. , vol.9 , pp. 904-950
    • Kramkov, D.1    Schachermayer, W.2
  • 8
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    • Necessary and sufficient conditions in the problem of optimal investment in incomplete markets
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    • KRAMKOV, D. and SCHACHERMAYER, W. (2003). Necessary and sufficient conditions in the problem of optimal investment in incomplete markets. Ann. Appl. Probab. 13 1504-1516. MR2023886
    • (2003) Ann. Appl. Probab. , vol.13 , pp. 1504-1516
    • Kramkov, D.1    Schachermayer, W.2
  • 9
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    • The sensitivity analysis of utility based prices and the risk-tolerance wealth processes
    • To appear
    • KRAMKOV, D. and SI̊RBU, M. (2006). The sensitivity analysis of utility based prices and the risk-tolerance wealth processes. Ann. Appl. Probab. To appear.
    • (2006) Ann. Appl. Probab.
    • Kramkov, D.1    Si̊rbu, M.2


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