A functional variational approach to pricing path dependent insurance policies

David R. Baños, Salvador Ortiz-Latorre, Oriol Zamora Font
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Abstract

The main purpose of this work is the derivation of a functional partial differential equation (FPDE) for the calculations of equity-linked insurance policies, where the payment stream may depend on the whole past history of the financial asset. To this end, we employ variational techniques from the theory of functional It\^o calculus.
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路径依赖保险单定价的函数变分法
这项工作的主要目的是推导出用于计算股票挂钩保险单的函数偏微分方程(FPDE),在这种保险单中,支付流可能取决于金融资产的整个过去历史。为此,我们采用了函数微积分理论中的变分技术。
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