Journal of Revenue and Pricing Management

, Volume 18, Issue 2, pp 147–154 | Cite as

A gap between rational annuitization price for producer and price for customer

  • Nikolai DokuchaevEmail author
Research Article


This paper studies pricing of insurance products focusing on the pricing of annuities under uncertainty. This pricing problem is crucial for financial decision making and was studied intensively; however, many open questions still remain. In particular, there is the “annuity puzzle” related to certain inconsistency of the existing financial theory with the empirical observations for the annuities market. This paper suggests a pricing method based on the risk minimization such that both producer and customer seek to minimize the mean square hedging error accepted as a measure of risk. This leads to two different versions of the pricing problem: the selection of the annuity price given the rate of regular payments, and the selection of the rate of payments given the annuity price. It appears that solutions of these two problems are different. This can contribute to explanation for the “annuity puzzle.”


Annuities pricing Risk minimization Price disagreement Annuity puzzle 

JEL classification

D46 D81 D53 


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Copyright information

© Springer Nature Limited 2018

Authors and Affiliations

  1. 1.School of Electrical Engineering, Computing and Mathematical SciencesPerthAustralia

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