A convergence of optimal investment strategies for the HARA utility functions
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An explicit expression of the optimal investment strategy corresponding to the HARA utility function under the constant elasticity of variance (CEV) model has been given by Jung and Kim [6]. In this paper we give an explicit expression of the optimal solution for the extended logarithmic utility function. And we prove an a.s. convergence of the HARA solutions to the extended logarithmic one.
Abstract
An explicit expression of the optimal investment strategy corresponding to the HARA utility function under the constant elasticity of variance (CEV) model has been given by Jung and Kim [6]. In this paper we give an explicit expression of the optimal solution for the extended logarithmic utility function. And we prove an a.s. convergence of the HARA solutions to the extended logarithmic one.
참고문헌 (8)
- T. Bjork, "Arbitrage Theory in Continuous Time" (1998), Oxford Univ. Press
- P. Devolder, "Stochastic optimal control of annuity con-tracts", Insurance Math. Econom, 33, pp.227~238 (2003)
- J. Gao, "Optimal investment strategy for annuity contracts under the constant elasticity of variance (CEV) model", Insuance Math. Econom, 45, pp.9~18 (2009)
- M. Gu, "Constant elasticity of variance model for pro-portional reinsurance and investment strategies", Insuance Math. Econom, 46, pp.580~587 (2010)
- M. Jonsson, "Optimal investment problems and volatility homogenization approximations, NATO Science Series II, Vol. 75", pp.255~281 (2002), Kluwer
- E.J. Jung, "Optimal investment strategies for the HARA utility under the constant elasticity of variance model", Insuance Math. Econom, 51, pp.667~673 (2012)
- B. Oksendal, "Stochastic Differential Equations" (1998), Springer-Verlag Berlin Heidelberg
- J. Xiao, "The constant elasticity of variance (CEV) model and the Legendre transform-dual solution for annuity contracts", Insuance Math. Econom, 40, pp.302~310 (2007)
