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The dependence of the incremental risk rate of interest on absolute risk aversion - Applying the Laplace transform to risk preference evaluation

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  • Grubbström, Robert W.

Abstract

In this paper we base our study on the application of the Laplace transform to risk preference theory. With a constant measure of absolute risk aversion (Pratt, 1964; Arrow, 1965), the Certainty Monetary Equivalent (CME) of a risky project previously has been developed into an expression involving the logarithm of the bilateral Laplace transform of the probability density of its stochastic economic outcome. The internal risk aversion (IRA) is the break-even level of the absolute risk aversion, between making the project favourable or unfavourable.

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  • Grubbström, Robert W., 2019. "The dependence of the incremental risk rate of interest on absolute risk aversion - Applying the Laplace transform to risk preference evaluation," International Journal of Production Economics, Elsevier, vol. 212(C), pages 51-59.
  • Handle: RePEc:eee:proeco:v:212:y:2019:i:c:p:51-59
    DOI: 10.1016/j.ijpe.2019.01.031
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    References listed on IDEAS

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    1. Robert J. Aumann & Roberto Serrano, 2008. "An Economic Index of Riskiness," Journal of Political Economy, University of Chicago Press, vol. 116(5), pages 810-836, October.
    2. Robert W. Grubbström & Brian G. Kingsman, 2004. "Ordering and Inventory Policies for Step Changes in the Unit Item Cost: A Discounted Cash Flow Approach," Management Science, INFORMS, vol. 50(2), pages 253-267, February.
    3. Schulze, Klaas, 2014. "Existence and computation of the Aumann–Serrano index of riskiness and its extension," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 219-224.
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