An approximation approach for valuing reverse mortgages

We derive an approximate pricing formula for use in reverse mortgage valuation that allows the house price and interest rate to be stochastic with a deterministic distribution of termination time. We compare the results from the approximate pricing formula to a simulation and find that the approximate pricing formula can significantly reduce computational intensity and provide a close approximation to simulation results. The approximation approach enables reverse mortgage holders to undertake complicated portfolio optimization and hedging analyses.