Optimal dividends and ALM under unhedgeable risk

Antoon Pelsser and Roger Laeven

Insurance: Mathematics and Economics, 2013, vol. 53, issue 3, 515-523

Abstract: In this paper we develop a framework for optimal investment decisions for insurance companies in the presence of (partially) unhedgeable risk. The perspective that we choose is from an insurance company that maximises the stream of dividends paid to its shareholders. The policy instruments that the company has are the dividend policy and the investment policy. Using stochastic control theory, we derive simultaneously the optimal investment policy and the optimal dividend policy, taking the insurance risks to be given. We study the trade off between investing in the optimal hedge portfolio and the fully diversified portfolio. We show next how the pricing of unhedgeable risk can also be embedded in our framework. Finally, we derive the distribution of the time of bankruptcy and demonstrate its usefulness in calibrating the model.

Keywords: Optimal dividends; ALM; Unhedgeable risk; Stochastic control theory; HJB equation (search for similar items in EconPapers)
JEL-codes: G22 G31 G35 (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:53:y:2013:i:3:p:515-523

DOI: 10.1016/j.insmatheco.2013.07.007

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