An Asset Liability Management Model for Casualty Insurers: Complexity Reduction vs. Parameterized Decision Rules

Alexei Gaivoronski () and Petter de Lange ()

Annals of Operations Research, 2000, vol. 99, issue 1, 227-250

Abstract: In this paper we study possibilities for complexity reductions in large scale stochastic programming problems with specific reference to the asset liability management (ALM) problem for casualty insurers. We describe a dynamic, stochastic portfolio selection model, within which the casualty insurer maximizes a concave objective function, indicating that the company perceives itself as risk averse. In this context we examine the sensitivity of the solution to the quality and accuracy with which economic uncertainties are represented in the model. We demonstrate a solution method that combines two solution approaches: A truly stochastic, dynamic solution method that requires scenario aggregation, and a solution method based on ex ante decision rules, that allow for a greater number of scenarios. This dynamic/fix mix decision policy, which facilitates a huge number of outcomes, is then compared to a fully dynamic decision policy, requiring fewer outcomes. We present results from solving the model. Basically we find that the insurance company is likely to prefer accurate representation of uncertainties. In order to accomplish this, it will accept to calculate its current portfolio using parameterized decision rules. Copyright Kluwer Academic Publishers 2000

Keywords: stochastic optimization; scenario aggregation; value of information; flexible versus parameterized decision policies; risk preferences (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1019223800849

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