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Framework for asset-liability management with fixed-term securities

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  • Yevhen Havrylenko

Abstract

We consider an optimal investment-consumption problem for a utility-maximizing investor who has access to assets with different liquidity and whose consumption rate as well as terminal wealth are subject to lower-bound constraints. Assuming utility functions that satisfy standard conditions, we develop a methodology for deriving the optimal strategies in semi-closed form. Our methodology is based on the generalized martingale approach and the decomposition of the problem into subproblems. We illustrate our approach by deriving explicit formulas for agents with power-utility functions and discuss potential extensions of the proposed framework.

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  • Yevhen Havrylenko, 2025. "Framework for asset-liability management with fixed-term securities," Papers 2502.19213, arXiv.org.
    • Handle: RePEc:arx:papers:2502.19213
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    File URL: http://arxiv.org/pdf/2502.19213
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