An analysis of insurance demand in the newsboy problem

Richard Watt () and Francisco J. Vázquez

European Journal of Operational Research, 2017, vol. 259, issue 3, 1064-1072

Abstract: In this paper we study the standard newsboy problem, but under two new assumptions when compared to the existing literature. First, we assume that the wholesaler is an expected profit maximiser who sets the wholesale price optimally, and in doing so, takes into account the salvage value at which the newsboy can return unsold items to the wholesaler. Second, we assume that the salvage value is a choice variable of the newsboy, and in that way, it acts as a standard insurance device. The newsboy’s optimal salvage value then represents an optimal demand for insurance. We study in particular the optimal pricing problem of the wholesaler, and show that it can be expressed as a mark-up equation. We also show that insurance is provided at an actuarially unfair price. As regards the optimal demand for insurance by the newsboy, the problem is too complex for a closed form solution to be possible, so we resort to a simulation which returns the results that a strictly positive level of strictly partial insurance is demanded when the newsboy is strictly risk averse, and the optimal level of insurance coverage increases with risk aversion.

Keywords: Risk analysis; Newsboy problem; Insurance demand; Salvage value (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:259:y:2017:i:3:p:1064-1072

DOI: 10.1016/j.ejor.2016.11.037

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