This paper develops a model to rationally price fixed rate mortgages, using the arbitrage principles of option pricing theory. The paper incorporates amortization, prepayment and default in valuing the mortgage. Having completely specified the model, numerical procedures value the different...

In this paper we develop a general method for valuing adjustable rate mortgages and by producing a set of simulation results, we show that our approach can be implemented. While the simulations are of interest in their own right, we view the approach itself as the major contribution of the...

Securities whose payoffs depend upon the actual path of the underlying state variables pose problems for standard backward-valuation techniques. In this paper, we show that there is a method of solving such problems that requires the addition of but a single auxiliary state variable. The...