Insurance valuation: a computable multi-period cost-of-capital approach

Hampus Engsner; Mathias Lindholm; Filip Lindskog

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arXiv · 1607.04100

Insurance valuation: a computable multi-period cost-of-capital approach

Hampus Engsner·Mathias Lindholm·Filip Lindskog

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Abstract

We present an approach to market-consistent multi-period valuation of insurance liability cash flows based on a two-stage valuation procedure. First, a portfolio of traded financial instrument aimed at replicating the liability cash flow is fixed. Then the residual cash flow is managed by repeated one-period replication using only cash funds. The latter part takes capital requirements and costs into account, as well as limited liability and risk averseness of capital providers. The cost-of-capital margin is the value of the residual cash flow. We set up a general framework for the cost-of-capital margin and relate it to dynamic risk measurement. Moreover, we present explicit formulas and properties of the cost-of-capital margin under further assumptions on the model for the liability cash flow and on the conditional risk measures and utility functions. Finally, we highlight computational aspects of the cost-of-capital margin, and related quantities, in terms of an example from life insurance.

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Hampus Engsner, Mathias Lindholm, Filip Lindskog. 2016-07-14. Insurance valuation: a computable multi-period cost-of-capital approach. https://arxiv.org/abs/1607.04100

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