Effects of jump-diffusion models for the house price dynamics in the pricing of fixed-rate mortgages, insurance and coinsurance
María del Carmen Calvo-Garrido and
Carlos Vázquez
Applied Mathematics and Computation, 2015, vol. 271, issue C, 730-742
Abstract:
In the pricing of fixed rate mortgages with prepayment and default options, we introduce jump-diffusion models for the house price evolution. These models take into account sudden changes in the price (jumps) during bubbles and crisis situations in real estate markets. After posing the models based on partial-integro differential equations (PIDE) problems for the contract, insurance and the fraction of the total loss not covered by the insurance (coinsurance), we propose appropriate numerical methods to solve them.
Keywords: Fixed-rate mortgages; Jump-diffusion models; Option pricing; Complementarity problem; Numerical methods; Augmented Lagrangian Active Set formulation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:730-742
DOI: 10.1016/j.amc.2015.09.051
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