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Multivariate Risk-Neutral Pricing of Reverse Mortgages under the Bayesian Framework

Jackie Li, Atsuyuki Kogure and Jia Liu
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Jackie Li: Department of Actuarial Studies and Business Analytics, Macquarie University, Macquarie Park, NSW 2109, Australia
Atsuyuki Kogure: Faculty of Business Administration, Tokyo Keizai University, Tokyo 185-8502, Japan
Jia Liu: Department of Actuarial Studies and Business Analytics, Macquarie University, Macquarie Park, NSW 2109, Australia

Risks, 2019, vol. 7, issue 1, 1-12

Abstract: In this paper, we suggest a Bayesian multivariate approach for pricing a reverse mortgage, allowing for house price risk, interest rate risk and longevity risk. We adopt the principle of maximum entropy in risk-neutralisation of these three risk components simultaneously. Our numerical results based on Australian data suggest that a reverse mortgage would be financially sustainable under the current financial environment and the model settings and assumptions.

Keywords: reverse mortgage; house price risk; interest rate risk; longevity risk; risk-neutralisation; principle of maximum entropy; Bayesian modelling (search for similar items in EconPapers)
JEL-codes: C G0 G1 G2 G3 K2 M2 M4 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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