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Asymptotic Analysis for Portfolio Optimization Problem under Two-Factor Heston’s Stochastic Volatility Model

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초록

We study an optimization problem for hyperbolic absolute risk aversion (HARA) utility function under two-factor Heston’s stochastic volatil- ity model. It is not possible to obtain an explicit solution because our finan- cial market model is complicated. However, by using asymptotic analysis technique, we find the explicit forms of the approximations of the optimal value function and the optimal strategy for HARA utility function.

Abstract

We study an optimization problem for hyperbolic absolute risk aversion (HARA) utility function under two-factor Heston’s stochastic volatil- ity model. It is not possible to obtain an explicit solution because our finan- cial market model is complicated. However, by using asymptotic analysis technique, we find the explicit forms of the approximations of the optimal value function and the optimal strategy for HARA utility function.

참고문헌 (11)

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  5. 김재희, "PRACTICAL INVESTMENT STRATEGIES UNDER A MULTI-SCALE HESTON’S STOCHASTIC VOLATILITY MODEL", East Asian Mathematical Journal, 33(1), pp.23~36 (2017), 영남수학회
  6. H. Kraft, "Optimal portfolios and Heston's stochastic volatility model: an explicit solution for power utility", Quantitative Finance, 5, pp.303~313 (2005)[DOI]
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  8. B. Oksendal, "Stochastic Differential Equations" (1998), Springer-Verlag
  9. S.J. Yang, "Portfolio optimization under the stochastic elasticity of variance", Stochastics and Dynamics, 14, pp.1350024~ (2014)[DOI]
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