Prepayment and the Valuation of Mortgage‐Backed Securities

ABSTRACT This paper puts forward a valuation framework for mortgage‐backed securities. Rather than imposing an optimal, value‐minimizing call condition, we assume that at each point in time there exists a probability of prepaying; this conditional probability depends upon the prevailing state of the economy. To implement our valuation procedure, we use maximum‐likelihood techniques to estimate a prepayment function in light of recent aggregate GNMA prepayment experience. By integrating this empirical prepayment function into our valuation framework, we provide a complete model to value mortgage‐backed securities.