An Intensity-Based Approach To The Valuation Of Mortgage Contracts And Computation Of The Endogenous Mortgage Rate
This paper gives a general mortgage model subject to sub-optimal prepayment behavior of borrowers. The proposed classification of approaches to the option-based and mortgage-rate-based (MRB) specification is validated by the fact that these two approaches require different analytical and numerical tools. With the option-based specification of the prepayment intensity, our model is the first continuous-time model; this gives advantage in the numerical treatment of the model. We propose a new approach based on the MRB idea with the endogenous mortgage rate process. The mortgage rate process is defined and the existence of a solution is proven for the option-based specification of the prepayment process. A numerical procedure for finding the endogenous mortgage rate is proposed.
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Volume (Year): 09 (2006)
Issue (Month): 06 ()
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