Recent surveys of major thrifts and mortgage bankers (see, for example, Inside Mortgage Finance) indicate that, while there are many different indices underlying adjustable rate mortgages in the U.S., four indices dominate the market:
1. The one year constant maturity Treasury yield,
2. One year LIBOR,
3. The Eleventh District Cost-of-Funds Index (EDCOFI),
4. The Federal Housing Finance Board (FHFB) national average contract interest rate.
The results of the Ott [18] ARM duration study, and numerous recent studies of the time series properties of EDCOFI, suggest that only the first of these indices adjusts instantaneously to changes in contemporaneous Treasury rates. The others adjust with a lag. Ott [18] uses a classical duration approach to show that this lag can have a significant impact on the interest rate sensitivity of ARMs. However, without explicitly modeling term structure dynamics, he cannot address the impact of mortgage prepayment, or additional common contract features such as interest rate caps. On the other hand, most recent ARM valuation models, using a contingent claims approach with a richer specification of interest rate dynamics, can analyze the impact of interest rate caps and prepayment, but they ignore the lag in the adjustment of the ARM coupon to the contemporaneous term structure (see, for example, Kau et al. [10], Schwartz and Torous [23], and McConnell and Singh [13]). No previous study simultaneously analyzes the interacting effects of both the time series properties of the index and prepayment/interest rate caps on the interest rate risk of ARMs.