Unobservable Risks in Mortgage Contract Choice

This study proposes a lifetime utility maximization model where borrowers choose optimal mortgage bundles including mortgage type, loan‐to‐value and loan size to maximize their allocation of limited budgets between housing and nonhousing consumptions. The model predicts that the mortgage bundle choices by borrowers of different income and risk attributes explain significant variations in the ex post default risks of the borrowers. The empirical tests using sampled mortgages pooled in nonagency residential mortgage backed securities support the hypothesis that the optimal choice of mortgage bundles reveals hidden risk factors of borrowers, which, if ignored, could lead to misjudgment of ex post default of borrowers.     

The Borrower's Choice of Fixed and Adjustable Rate Mortgages in the Presence of Nominal and Real Shocks

This paper concerns the conditions under which borrowers select fixed and adjustable rate mortgages. The novelty of the paper lies in its capability to analyze the effect of nominal and real shocks separately. The fixed rate mortgage (FRM) versus the adjustable rate mortgage (ARM) choice is determined by the expected real interest rate differential, initial wealth, income, expected real and nominal income risk exposure—measured by different parameters—the value of the house, the appreciation of the house and the influence of the variance of nominal and real shocks. Results differ according to whether or not borrowers are restricted by the loan-to-value constraint.     

Household Interest Rate Risk Management

I investigate household interest rate risk management by solving a life‐cycle asset allocation model that includes mortgage and bond portfolio choice. I find that most investors prefer an adjustable‐rate mortgage and thereby save on the bond risk premium that is contained in fixed‐rate mortgage payments. Only older, risk‐averse investors hold some fixed‐rate mortgage debt. Together with a position in short‐term bonds this enables them to hedge against changes in the real interest rate, while the inflation exposure of the debt and bond positions cancel out. Hedging house price changes with bonds only occurs at the end of the life cycle. Early in the life cycle short‐sale constraints prevent an effective hedge.     

The Borrower's Perceived Risk in Mortgage Choice

We investigate how borrowers perceive the risk in the adjustable rate mortgage (ARM) versus fixed rate mortgage (FRM) choice. We develop a mortgage choice model where the coefficient on the long‐term bond risk premium is conditional on the borrower's perceived risk. We show that the perceived risk fluctuates over time according to the short‐term interest rate level and housing market conditions. We find that when the short‐term rate level is high (low), the borrowers perceive low (high) risk of a short‐term rate rise, thus opting for ARMs (FRMs). Also, during a down housing market they become more risk‐averse perceiving higher risk in choosing ARMs. The perceived risk level alters the borrowers’ sensitivity to the long‐term bond risk premium.     

Interest Rate Risk, Residential Mortgages and Financial Futures Markets

Residential mortgage markets in both the United States and Canada have recently been dominated by instruments such as variable-rate and short-term rollover mortgages which require borrowers to assume a greater burden of interest rate risk. An outstanding question is whether this approach to risk allocation is Pareto optimal or whether there are other more effective methods of dealing with the risk created by interest rate volatility. This study examines the potential for shifting this risk from the mortgage market to the financial futures market. After considering the rationale for expecting that neither mortgage borrowers nor lenders wish to absorb the high levels of risk present in the existing financial environment, this study discusses the hedging of interest rate risk through financial futures markets. Empirical tests are then performed to evaluate the effectiveness of U.S. futures markets for hedging positions from the U.S. mortgage market. These results indicate that the interest rate risk inherent in residential mortgages can be substantially shifted through one or more positions in the existing futures contracts and long-term, fixed-rate mortgages may still be financially feasible under conditions of interest rate volatility.     

Differential Access to and Pricing of Home Mortgages: 2004 through 2009

This article documents trends and drivers of the residential mortgage market during the years 2004 through 2009, specifically focusing on the access to and pricing of mortgages originated by African‐American and Hispanic borrowers, and by borrowers living in low‐income and minority communities. Our analysis relies on a rich set of proprietary data that allow more expanded insights than can be obtained from the Home Mortgage Disclosure Act (HMDA) alone. We show that access to mortgage credit increased between 2004 and 2006 for the borrowers we focus on in our study and declined dramatically thereafter. Trends in access to credit were driven primarily by the changing credit mix of mortgage applicants and secondarily by the replacement of the Federal Housing Administration (FHA) for subprime as the dominant mode of nonprime originations and tighter underwriting standards. Throughout our entire period of study, these borrowers also consistently paid higher prices for their mortgages; however, the extent of this differential varied considerably over time and across groups. These pricing trends were driven primarily by changes in the FHA and subprime shares as well as by the market's increasingly aggressive pricing of credit risk.     

Are Adjustable‐Rate Mortgage Borrowers Borrowing Constrained?

Past research argues that changes in adjustable‐rate mortgage (ARM) payments may lead households to cut back on consumption. These outcomes are more likely if ARM borrowers are borrowing constrained, and we show in this article that ARM borrowers exhibit attitudes toward borrowing and behavior that are consistent with being borrowing constrained. Although the demographic and financial characteristics of ARM and fixed‐rate mortgage (FRM) borrowers are somewhat similar, ARM borrowers differ from FRM borrowers in their uses of credit and attitudes toward it. In addition, we find the consumption growth of households with an ARM is more sensitive to past income than the consumption growth of other households, suggesting the ARM borrowers may be subject to borrowing constraints that hinder their ability to smooth consumption.     

Lenders’ pricing strategy: Do neighborhood risks matter?

This article explores the different pricing strategies of lenders who originate both government-sponsored enterprise (GSE) and non-GSE loans. We find that conditional on loan and borrower characteristics and some observable local economic factors, mortgage rates on GSE loans vary significantly across regions. However, we observe no sizable regional variation in loan amounts or default risk. By contrast, the mortgage rates on non-GSE loans depend almost entirely on borrowers and loan characteristics. In addition, we find that spatial variations in GSE mortgage rates are highly responsive to regional prepayment risk. Our results are robust to various controls for neighborhood characteristics, including regional-level bank competition, borrower accessibility to mortgages, and household income levels. Overall, the findings offer a novel insight into how lenders adjust pricing strategies in response to a changing lending environment. The results provide implications relating to the present and imminent dangers of housing bubbles and the intensified refinancing wave following the COVID-19 pandemic.     

Mortgage Pricing: What Have We Learned So Far?†

Much progress has been achieved in the valuation of call options and mortgages. Preliminary evidence suggests that the observed term structure of interest rates (the full structure, not just the end-points) and a reasonable estimate of the volatility of spot rates is sufficient for pricing purposes. Knowledge of the precise nature of the interest-rate process and the exact market price of interest-rate risk, the not-well-identified determinants of the term structure, are not necessary for pricing. Moreover, the number of interest-rate state variables is also of little import, again holding the term structure and rate volatility constant.     

The Performance of Commercial Mortgages

This study examines the return characteristics of a large, well-diversified commercial mortgage portfolio. Mortgage-specific cash-flow histories are constructed for 2,480 loans originated over the period 1974 through 1990, and a contingent-claims approach to pricing risky debt is used to estimate inter-temporal market values. Quarterly holding-period returns are compared across selected mortgage groups and to alternate asset classes. Our findings suggest that both mortgage returns and volatility of return are comparable to those of other forms of fixed-income assets over the study period. Implied property price volatility is found to average 17%, a result significantly higher than reported in earlier studies. While mortgage returns are found to vary by property type and region of origin, cross correlation of returns is found to be high, illustrating the systematic effect of interest rates on the performance of commercial mortgages over the period 1974 through 1990. However, an increase in credit risk in the latter years of the study suggests that diversification may be a worthwhile objective for holders of these assets. We do not find evidence to suggest that abnormal returns were earned on commercial mortgage portfolios over the study period.     

Subprime Lending and Real Estate Prices

This article establishes a theoretical and empirical link between the use of aggressive mortgage lending instruments, such as interest‐only, negative‐amortization or subprime mortgages, and the underlying house prices. Such instruments, which come into existence through innovation or financial deregulation, allow more borrowing than otherwise would occur in previously affordability‐constrained markets. Within the context of a model with an endogenous rent‐buy decision, we demonstrate that the supply of aggressive lending instruments temporarily increases the asset prices in the underlying market because agents find it more attractive to own or because their borrowing constraint is relaxed, or both. This result implies that the availability of aggressive mortgage lending instruments magnifies the real estate cycle and the effects of fundamental demand shocks. We empirically confirm the predictions of the model using recent subprime origination experience. In particular, we find that regions that receive a high concentration of aggressive lending instruments experience larger price increases and subsequent declines than areas with low concentration of such instruments. This result holds in the presence of various controls and instrumental variables.     

Inflation Risk, Payment Tilt, and the Design of Partially Indexed Affordable Mortgages

This paper integrates two fundamentally important parameters into a theory of optimal mortgage design: the proportion of inflation risk borne by the lender / investor and the borrower and the amortization-graduation schedule for loan repayments. Equations are derived for a family of innovative mortgages, termed hybrid PLAMs, which offer advantages to borrowers and lenders over either the standard fixed rate mortgage (FRM) or the price level adjusted mortgage (PLAM). The superiority of the hybrid PLAMs lies in their ability to simultaneously and independently accommodate differing degrees of inflation-risk sharing and payment affordability. Inflation-risk sharing is represented by an indexation parameter set over a continuum of values such that the FRM has zero index variability and the PLAM has unit index variability. Similarly, payment tilt is represented by a tilt parameter such that the FRM has zero tilt and the PLAM has unit tilt. We demonstrate that these two parameters are independent and can each be continuously varied in a two-dimensional family of self-amortizing mortgages. A specific hybrid PLAM can be designed to partition inflation risk in any proportion between the borrower and the lender and to simultaneously prescribe any level of payment tilt between the extremes of the FRM and PLAM. The behavior of representative hybrid PLAMs is simulated and compared to FRMs and PLAMs for three different inflation scenarios, one of which uses actual market data from the period of 1960–1990.     

Housing Price Dynamics,Mortgage Credit and Reverse Mortgage Demand: Theory and Empirical Evidence

This article presents some theoretical and empirical approaches for identifying interactions among fundamental economic variables that determine housing prices. Using home equity conversion mortgage (HECM) loan‐level data, this study quantifies the major risks of reverse mortgages and shows that higher housing prices induce higher demand for reverse mortgages among elderly homeowners. Senior citizens rationally hold pessimistic expectations about future housing price appreciation and lock in their home‐equity gains by obtaining reverse mortgages, which in turn led to the substantial HECM growth prior to the financial crisis of 2008. A novel simulation also forecasts HECM loans under various economic scenarios. From a mortgage credit perspective, these findings generate several policy implications for the implementation of “HECM 3.0.”     

Determinants of Credit Spreads in Commercial Mortgages

This article examines the cross-sectional and time-series determinants of commercial mortgage credit spreads as well as the terms of the mortgages. Consistent with theory, our empirical evidence indicates that mortgages on property types that tend to be riskier and have greater investment flexibility exhibit higher spreads. The relationship between the loan-to-value (LTV) ratio and spreads is relatively weak, which is probably due to the endogeneity of the LTV choice. However, the average LTV ratio per lender has a strong positive relation with credit spreads, which is consistent with the idea that lenders specialize in mortgages with either high or low levels of risk, and that high LTV mortgages require substantially higher spreads. Finally, we observe that spreads widen and mortgage terms become stricter after periods of poor performance of the real estate markets and after periods of greater default rates of outstanding real estate loans.     

The Subprime Virus

We examine the correlation between prime mortgage default risk and the introduction of subprime mortgages in a local area. We motivate our analysis with a model of a default contagion effect that spreads the effect of a mortgage foreclosure from one property to surrounding properties. Through numerical analysis, we demonstrate the effect of subprime mortgage originations to the risk of prime mortgages. Finally, we offer empirical support for our model by examining the spatial variation in MSA prime mortgage default rates and the level of subprime mortgage activity.     

A Model of Localized Mortgage Lending Behavior*

Loan administration costs and the costs of search for information about risk are found to be determinants of spatial interest rate differentials. These costs are independent of dollar loan size; therefore, rational lending policies can produce higher interest rates (or lower term to maturity) in low-income communities. But the premium (lower maturity) should be related to lower loan size and risk differentials. Public policy should be directed toward compiling and verifying an information bank which would allow lenders to search efficiently for information about risk. An empirical methodology designed to test for mortgage deficiency in minority areas was developed through case studies. This indicated the utility of specifying the supply and demand for mortgages at the neighborhood level of aggregation. Trends in neighborhood property values were identified as important and overlooked measures of lending risk. Further exploration of the hypothesis that Spanish-speaking areas are mortgage deficient is suggested by the cases.     

Distributional Consequences of Alternative Mortgage Instruments

One of the major factors hindering the introduction of alternative mortgage instruments is the possibility of adverse consequences to certain groups of households seeking to obtain credit for homeownership. This study examines this issue through an analysis of cross-sectional household data obtained from the 1970 Survey of Consumer Finances. Using multiple regression analysis, a series of structural demand models are derived and estimated. These models relate the probability of homeownership, levels of housing consumption, mortgage credit usage, and downpayment to income, assets, and other socioeconomic variables, to variables representing the relative price of housing and homeownership, and to certain variables representing the present value and cash flow costs of mortgage credit. Several mortgage-related variables are found to be influential in housing demand decisions. These models are then used to simulate alternative instrument introduction. The graduated-payment and price-level adjusted mortgages are predicted to be superior to the current instrument of mortgage finance in encouraging homeownership, housing consumption, and the use of mortgage credit among all household classes. The standard variable-rate mortgage, especially one tied to a short-term interest rate, is predicted to be inferior to the standard instrument, with the most adverse impacts upon lower-income, young, elderly, and black households.     

Determinants of Multifamily Mortgage Default

Option–based models of mortgage default posit that the central measure of default risk is the loan–to–value (LTV) ratio. We argue, however, that an unrecognized problem with extending the basic option model to existing multifamily and commercial mortgages is that key variables in the option model are endogenous to the loan origination and property sale process. This endogeneity implies, among other things, that no empirical relationship may be observed between default and LTV. Since lenders may require lower LTVs in order to mitigate risk, mortgages with low and moderate LTVs may be as likely to default as those with high LTVs. Mindful of this risk endogeneity and its empirical implications, we examine the default experience of 495 fixed–rate multifamily mortgage loans securitized by the Resolution Trust Corporation (RTC) and the Federal Deposit Insurance Corporation (FDIC) during the period 1991–1996. The extensive nature of the data supports multivariate analysis of default incidence in a number of respects not possible in previous studies. Consistent with our expectations, we find that LTV evidences no relationship to default incidence, while the strongest predictors of default are property characteristics, including three–digit ZIP code location and initial cash flow as reflected in the debt coverage ratio. The latter results are particularly interesting in that they dominated the influence of postorigination changes in the local economy.     

Prepayment Behavior of Dutch Mortgagors: An Empirical Analysis

The suboptimal exercise of the prepayment option in a mortgage is relevant for mortgage pricing and the management of a mortgage portfolio. Construction of an accurate prepayment model requires quantification of driving factors such as seasoning, seasonality, refinance incentive and burnout. We focus on Dutch mortgages but also discuss the Dutch market in a European setting. Within the euro-denominated MBS market, the Dutch market is often referred to as the benchmark market. In our application we include typical Dutch market and contract characteristics such as the annual penalty-free prepayment of 10 to 20% of the original loan amount. We use loan-level historical data on mortgages originated between January 1989 and June 1999 to estimate separate models for two popular redemption types: savings mortgages and interest-only mortgages. In both models we allow for suboptimal prepayment behavior. The results clearly indicate that prepayment rates depend on interest rates and the age of the mortgage contract. Moreover, we find that burnout is an important element in describing the prepayment behavior of Dutch mortgagors.     

Home Ownership,Household Leverage and Hyperbolic Discounting

I examine tenure and mortgage choice in an equilibrium model in which households make decisions as if they discount hyperbolically rather than exponentially. Overall, hyperbolic discounting does not seem to explain the high rates of home ownership or portfolio concentration in housing in the data. I then study the choice between mortgages that require a substantial down payment and mortgages that require no down payment. Allowing households access to no‐down‐payment mortgages exacerbates rather than mitigates the undersaving of hyperbolic discounters. However, even when households discount hyperbolically, welfare is higher when households have access to no‐down‐payment mortgages.