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We examine the decision to prepay a fixed-rate mortgage in the United Kingdom, Canada, Ireland, Australia and New Zealand. These countries are characterized by having substantial fees which are associated with breaking a fixed-rate mortgage. We develop a model which allows for fluctuations both in banks’ wholesale rates and credit spreads. We find that households can achieve economically significant benefits both from following an optimal prepayment strategy contingent on the break fee used by their bank and also by selection of fixed interest rate term and (where available) break fee structure.

Adjustable-rate and hybrid loans have been a larger component of subprime mortgage lending in the mortgage market than prime lending. The typical adjustable-rate loan in subprime is a hybrid of fixed and adjustable characteristics in which the first 2 years are fixed and the remaining 28 years adjustable. Hybrid loans terminate at elevated probabilities even before the first adjustment date. Hybrid loan terminations are sensitive to interest rates and teaser rates (payment shocks). Default probabilities increase dramatically when payment shocks are mixed with low or no equity in the home. This is the mixture of events that helped to trigger the 2007/2008 subprime mortgage crisis.

We use a mean-reverting interest rate model and a lognormal house price diffusion model to evaluate British fixed rate repayment mortgage contracts with (embedded) default and prepayment options. The model also provides values for capped mortgage indemnity guarantees and the corresponding (residual) lender’s coinsurance. Since the partial differential equation incorporating the general features of these mortgage contracts does not have a closed-form solution, an explicit finite difference method is used for the valuation (and sensitivity) results, with solution improvements to deal with error bounds. Then we provide graphical representations of each mortgage component as a function of house prices and interest rate levels, along with interpretations of the analysis. We calculate precisely the lender’s (residual) exposure to house price risk, given the borrower’s options, house and interest rate uncertainty, and customary mortgage indemnity insurance for high loan/collateral ratio mortgages.

This article shows that, in the presence of transaction costs payable by borrowers on refinancing, it is possible to construct a separating equilibrium in which borrowers with differing mobility select fixed rate mortgages (FRMs) with different combinations of coupon rate and points. We also show that, in the absence of such costs, no such equilibrium is possible. This provides a possible explanation for the large menus of FRMs typically encountered by potential borrowers, and suggests that the menu available at the time of origination should be an important predictor of future prepayment. We numerically implement the model, developing the first contingent claims mortgage valuation algorithm that can quantify the effect of self-selection on real contracts in a realistic interest rate setting. The algorithm allows investors to account for self-selection when valuing mortgages and mortgage-backed securities. It also, for the first time, allows lenders to determine the optimal points/coupon rate schedule to offer to a specified set of potential borrowers, given the current level of interest rates.

This paper analyzes the probabilities of prepayment or default for Fixed Rate Mortgages (FRMs) and Adjustable Rate Mortgages (ARMs). Using data from the period 1985–1992, the analysis indicates that the likelihood of prepayment of thirty year FRMs was determined primarily by house price appreciation and personal income growth and the likelihood of prepayment of fifteen year FRMs was determined primarily by interest rate changes. ARMs were prepaid less frequently than FRMs, were less likely to be prepaid when interest rates declined and defaulted more often than FRMs. The analysis provides evidence that ARM holders are less mobile than FRM holders.

This paper uses an extensive and geographically dispersed sample of single-family fixed rate mortgages to assess the prepayment and default behavior of individual homeowners. We make use of Poisson regression to efficiently estimate the parameters of a proportional hazards model for prepayment and default decisions. Poisson regression for grouped survival data has several advantages over partial likelihood methods. First, when dealing with time-dependent covar-iates, it is considerably more efficient in terms of computations. Second, it is possible to estimate full-hazard models which include, for example, functions of time as well as multiple time scales (i.e., age of the loan and calendar time), in a much more straightforward manner than partial likelihood methods for un-grouped data. Third, Poisson regression can be used to estimate non-proportional hazards models such as additive excess risk specifications. Taken together, our data and estimation methodology allow us to obtain a better understanding of the economic factors underlying prepayment and default decisions.

The length of time that residential mortgages remain in delinquency prior to foreclosure is examined using an Accelerated Failure Time (AFT) model and a database of 207 foreclosed conventional and Veteran's Administration (VA) mortgages. The results suggest that the primary factors influencing the timing of the lender's foreclosure decision are the borrower's equity position and the erosion of that position with continuing delinquency. Borrower bankruptcy and VA guarantees also lengthen the delinquency period. Delinquency periods for fixed rate mortgages (FRM) decrease when the market interest rate increases.

Existing models on the pricing of default and prepayment options in fixed-rate mortgages either use numerical methds or they do not consider refinancing or other transaction costs involved in default and prepayment. We provide in this paper an application of the Boyle [1] lattice model to price secured debt with two risky assets. This model is simple, efficient and capable of considering the major types of transaction costs involved in prepayment and default. Using our model, we estimate the option values under a range of assumptions about the underlying parameters. We also provide some comparisons of the lattice model estimates to other models in the literature.

The widespread concern over the inadequacies of the standard fixed rate, level payment mortgage instrument, especially in inflationary periods, has prompted a number of proposals for alternative mortgage instruments (AMIs). In this study the individual characteristics and economic implications of a number of AMIs are analyzed by simulating their behavior over different types of economic conditions. Each instrument is evaluated on the basis of its relative efficiency in accomplishing its particular objectives. Most of the instruments appear suitable for certain types of borrowers and lenders. However, this limited analysis suggests that the graduated payment and variable rate mortgages have advantages over the other variants considered. Various forms of each are already in use and appear to be relevant and marketable for many of the country's borrowers and lenders.

This paper applies two familiar causality detection techniques to the issue of whether it is costs that determine prices or vice versa in the mortgage loan market. The question is posed in terms of causal priority: Are savings and loan deposit rates causally prior to mortgage loan rates or is it the other way around? For the time period prior to the onset of deposit interest rate deregulation, the evidence that emerges is consistent with the view that lenders raised their loan rates in response to higher deposit rates of interest. However, for the more recent period of deregulation, the evidence is not consistent with this view.

This paper develops a model for determining the level of, and changes over time in, the short-term interest rate exposure contained in adjustable rate mortgage loans (ARMs). Results of the study indicate that movements in the underlying adjustment index can create both upward-movement or downward-movement interest rate risk for lenders whose ARMs carry rate adjustment limits. The model presented here is useful for designing hedging strategies for ARM loans, and for analyzing the impact of new originations on the interest rate exposure of the ARM portfolio.

Previous research indicates that key variables in the choice between fixed and price index-linked debt are the covariances between inflation and real income and between inflation and the real value of the asset financed by the debt. This model extends those results to adjustable rate loan contracts and examines the impact of covariance between the real interest rate and, in turn, real income and real asset values. Positive (negative) covariance between those terms shifts preference toward the adjustable (fixed) loan contract.