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Mortgages and Markov Chains: A Simplified Evaluation Model

Paul Zipkin

Management Science · 1993 · Volume 39 · Issue 6

DOI: 10.1287/mnsc.39.6.683

Abstract

This paper has two purposes. The first is purely expository: to introduce stochastic interest-rate models and security-evaluation methods in a simple mathematical setting. Specifically, we assume the uncertainties in the model are represented by a discrete-time, finite-state Markov chain. Second, using this framework, we present a relatively simple model for the evaluation of mortgage-backed securities.

Keywords

finance, stochastic models

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