A Steady State Solution to a Mortgage Pricing Problem

Details A Steady State Solution to a Mortgage Pricing Problem A Steady State Solution to a Mortgage Pricing Problem

2009-09-29

arxiv.org/abs/0909.5389v1

Economy

Quantitative Finance

Pricing of Securities

Scientific paper

This paper considers a mortgage contract where the borrower pays a fixed mortgage rate and has the choice of making prepayment. Assume the market interest follows the CIR model, a free boundary problem is formulated. Here we focus on the infinite horizon problem. Using variational method, we obtain an analytical solution to the problem, where the free boundary is implicitly given by a transcendental algebraic equation.

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