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arXiv 2302.08181math.OC
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平滑模糊偏好下的均衡投资组合选择

Equilibrium Portfolio Selection for Smooth Ambiguity Preferences

Guohui Guan, Zongxia Liang, Jianming Xia

摘要:

研究了连续时间市场中平滑模糊偏好下的均衡投资组合选择问题。投资者对风险资产的漂移项不确定,根据贝叶斯规则更新主观信念。两个版本的验证定理建立和均衡策略可以分解为一个短视的需求和两个对冲需求。当先验为高斯分布时,得到了封闭形式的平衡解。通过平滑模糊度偏好的替代表示来解释数值结果中的难题。

英文摘要:

This paper investigates the equilibrium portfolio selection for smooth ambiguity preferences in a continuous-time market. The investor is uncertain about the risky asset's drift term and updates the subjective belief according to the Bayesian rule. Two versions of the verification theorem are established and an equilibrium strategy can be decomposed into a myopic demand and two hedging demands. When the prior is Gaussian, the closed-form equilibrium solution is obtained. A puzzle in the numerical results is interpreted via an alternative representation of the smooth ambiguity preferences.

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