期刊
INSURANCE MATHEMATICS & ECONOMICS
卷 33, 期 3, 页码 611-627出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.insmatheco.2003.09.003
关键词
stochastic optimization; Martingale representation theorem; stochastic interest rates; equicontinuity
We study an investment problem where the interest rates follow the Cox-Ingersoll-Ross dynamics. The optimal investment strategy is obtained in explicit form under the hypotheses that financial markets are complete and that the utility functions belong to the HARA, exponential and logarithmic classes. We show that the solution for the HARA utility is stable when the parameters vary in a suitable way: more precisely, we find that the optimal investment strategy corresponding to the HARA function converges almost surely to the one corresponding to the exponential and logarithmic utility functions. (C) 2003 Elsevier B.V. All rights reserved.
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