Determinants of the ARM share of national and regional lending

We model the ARM share of mortgage lending and provide several unique contributions to the mortgage choice literature. First, we motivate the use of the price spread between fixed- and adjustable-rate credit as a regressor by constraining the effect of FRM and ARM prices to be symmetric and show that the data support this restriction. Second, our data span a far longer time period (six years) than previous research. Third, we estimate separate share equations by region, allowing us to contrast geographic variation in ARM shares. Fourth, we examine the effect of convertible ARMs—which became prevalent in mid-1987—on overall ARM lending.     

The probability of fixed- and adjustable-rate mortgage termination

This article analyzes mortgage terminations using a national individual loan data set for the 1986–1992 period. The standard option-choice-theoretic framework is supplemented with variables to proxy for non-option-related termination determinants. Separate multinominal logit models are estimated for three mortgage types: 30-year FRMs, 15-year FRMs, and 30-year ARMs. The results indicate substantial differences in the response of the mortgage types to variables included in the model. FRM15 prepayments are the most responsive to prepayment option values; FRM30 prepayments are less responsive to option values and are dirven by local area housing market and economic conditions; ARM prepayment rates are higher but defeult rates are lower relative to the FRMs. A noteworthy finding is that teaser discounts reduce the likelihood of ARM defaults.     

The closing rate on residential mortgage commitments: An econometric analysis

Mortgage lenders routinely guarantee rates and points for periods of 60 days or more and hedge the inherent interest rate risk by selling the proportion of mortgages expected to close in forward markets. This article presents a model of the decision to close on the mortgage and demonstrates that the estimates of the model increase the precision of closing rate forecasts. The analysis indicates that changes in mortgage rates are important determinants of the closing rate for fixed-rate mortgages (FRM) and adjustable-rate mortgages (ARM). Other important factors include whether the mortgage is for a new purchase, for owner occupancy, and for a single-family house, and what the overall level of mortgage rates and the loan-to-value ratio are and whether the rate guarantee was granted at the application date or later.     

Optimal Mortgage Contract Choice Decision in the Presence of Pay Option Adjustable Rate Mortgage and the Balloon Mortgage

The unprecedented run-up in global house prices of the 2000s was preceded by a revolution in U.S. mortgage markets in which borrowers faced a plethora of mortgages to choose from collectively known as nontraditional mortgages (NTMs), whose poor performance helped ignite the global financial crisis in 2007. This paper studies the choice of mortgage contracts in an expanded framework where the menu of contracts includes the pay option adjustable rate mortgage (PO-ARM), and the balloon mortgage (BM), alongside the traditional long horizon fixed rate mortgage (FRM) and the short horizon regular ARM. The inclusion of the PO-ARM is based on the fact it is the most controversial and perhaps the riskiest of the NTMs, whereas the BM has not been analyzed in the literature despite its different risk-sharing arrangement and long vintage. Our inclusive model relates the structural differences of these contracts to the horizon risk management problems and affordability constraints faced by the households that differ in terms of expected mobility. The numerical solutions of the model generates a number of interesting results suggesting that households select mortgage contracts to match their horizon, manage horizon risk and mitigate liquidity or affordability constraints they face. From a risk management and welfare perspectives, we find that the optimal contract for households with shorter horizons, specifically households who expect to move house once every 1 to 2 years, is the PO-ARM. Beyond 2 years the welfare advantage of the PO-ARM diminishes and BM becomes the more optimal contract up to 5-year horizon. Overall, the results suggest that households are neither as risk averse as the selection of the FRM would suggest, nor are they as risk-seeking as the selection of PO-ARM or regular ARM would suggest. The results also suggest that the exuberance demonstrated for NTMs by borrowers, especially PO-ARMs, may be both rational and irrational.     

Fixed‐Rate Mortgages,Labor Markets,and Efficiency

The paper studies the effects of mortgage choices between fixed‐rate mortgages (FRMs) and adjustable‐rate mortgages (ARMs) on labor market efficiency. FRMs provide insurance for risk‐averse borrowers in the sense that they pay the same rate over time and are not subject to uncertain spot market rates. FRMs, however, discourage borrowers from moving to other regions despite better employment opportunities, as they terminate the FRM contracts in order to move and their new loan interests may be higher. As FRM‐borrowers do not move to other regions due to the interest lock‐ins, entrepreneurs in other regions lose the potential surpluses from productive matches that would have occurred between borrowers‐workers and entrepreneurs. Borrowers ignore this negative externality they impose on the entrepreneurs when choosing their mortgages, and too many borrowers choose FRMs relative to the efficient level. If FRMs are eliminated and ARM‐insurance (that protects ARM‐borrowers against uncertain adjustable interest rates) is created, it will improve efficiency. The paper also assesses quantitatively the welfare effects of eliminating FRMs and providing ARM‐insurance.     

A Dynamic Analysis of Fixed- and Adjustable-Rate Mortgage Terminations

This paper provides a side-by-side comparison of loan-level statistical models for fixed- and adjustable-rate mortgages. Multinomial logit models for quarterly conditional probabilities of default and prepayment are estimated. We find that the estimated impacts of embedded option values for prepayment and default are generally quite similar across both FRM and ARM loans, providing additional empirical support for the basic predictions of the options theory. We also find that differences in estimates of conditional probabilities of prepayment and default associated with mortgage age, origination period, original LTV, and relative loan size, indicate the continued significance of these other economic and demographic factors for empirical models of mortgage terminations.     

Choosing between fixed-and adjustable-rate mortgages: The case of commercial mortgages

This article reports on the determinants of the ARM choice for commercial real estate projects. The theoretical literature suggests that commercial real estate projects are more likely to be financed with an adjustable-rate mortgage (ARM) if the project's income stream or value is expected to rise with inflation over time. The empirical model estimated is a structural probit probability model of the ARM choice. Our results demonstrate that commercial borrowers typically place great emphasis on relative interest-rate differentials when deciding which mortgage is best. We also find that commercial mortgage borrowers will ordinarily be reluctant to issue an ARM when the fixed interest rate is low.     

Determinants of the ARM Share of FHA and Conventional Lending

Loan-choice research has generally examined the determinants of fixed-rate mortgage (FRM) versus ARM lending in the single-family conventional market. Little attention has been paid to the significant differences in ARM lending between the GSE conforming and jumbo markets, as well as differences in the FHA market. For example, the ARM share of jumbo originations is generally two to three times that of the conforming market. This article extends past analysis by examining the determinants of ARM market share in the conventional conforming, jumbo, and FHA markets. Mortgage-pricing variables and the slope of the Treasury yield curve, a proxy for expectations of the time path of ARM indexes, were generally found to be significant. Further, the geographic shift in FHA lending toward the California market since 1992 was found to explain a significant part of the increase in the ARM share of FHA originations during the mid-1990s.     

Mortgage Design in an Equilibrium Model of the Housing Market

How can mortgages be redesigned to reduce macrovolatility and default? We address this question using a quantitative equilibrium life‐cycle model. Designs with countercyclical payments outperform fixed payments. Among those, designs that front‐load payment reductions in recessions outperform those that spread relief over the full term. Front‐loading alleviates liquidity constraints when they bind most, reducing default and stimulating housing demand. To illustrate, a fixed‐rate mortgage (FRM) with an option to convert to adjustable‐rate mortgage, which front‐loads payment reductions relative to an FRM with an option to refinance underwater, reduces price and consumption declines six times as much and default three times as much.     

The effect of mortgage form on borrower interest rate risk: A portfolio theory approach

The problems faced by U.S. regulatory authorities in controlling residential housing cycles have resulted in a continuing search for methods of reducing the volatility of housing construction. One of the most widely discussed methods of decreasing volatility in mortgage credit is the variable rate mortgage (VRM) whose interest rate is linked to some interest rate index. In this paper we employ a portfolio theory approach to examine the relative riskiness of the VRM and fixed rate mortgage (FRM) for borrower and lender. As expected, we find that relative riskiness depends on the composition of the borrower/lender portfolio of assets and liabilities.     

The Relative Termination Experience of Adjustable to Fixed-Rate Mortgages

Our study uses a multinomial logit model to analyze the concurrent termination experience of adjustable-rate and fixed-rate mortgages. A new set of ARM-specific interactive determinants expands the conventional FRM specification to isolate the unique termination behavior of ARMs. We find that expected rate adjustments and large lifetime caps are positively related to ARM termination probabilities while long adjustment frequencies are inversely related. Caps, both periodic and lifetime, have a secondary, inverse effect on termination probabilities when interest-rate movements exceed cap limits. The model also shows that interest-rate expectations affect FRM terminations more strongly than ARM terminations.     

Differential default risk among traditional and non-traditional mortgage products and capital adequacy standards

We develop a framework to quantify credit risks of non-traditional mortgage products (NMPs). Ex ante probabilities of default are caused by willingness-to-pay and ability-to-pay problems and the high default rates for NMPs confirm that payment shock is a critical default risk indicator. Monte Carlo simulations are conducted using three correlated stochastic variables (mortgage interest rate, home price, and household income) under normal and stressed economies. Results confirm that the default risk of 2/28 and option ARM contracts requiring a minimum monthly interest payment have a greater probability of default than other mortgage products in all economic scenarios. Additionally, the credit risk of NMPs is primarily systematic risk, suggesting that these products should require higher risk-based capital. Due to the non-linear distribution of credit risk, even the advanced internal-based rating approach of the Basle II framework can understate the risk involved in these NMPs.     

Financial literacy,present bias and alternative mortgage products

Choosing a mortgage is one of the most important financial decisions made by a household. Financial innovation has given rise to more complex mortgage products with back-loaded payments, known as ‘Alternative Mortgage Products’ (AMPs), or ‘Interest-Only Mortgages’. Using a specially designed question module in a representative survey of UK mortgage holders, we investigate the effect of consumer financial sophistication on the decision to choose an AMP instead of a standard repayment mortgage. We show poor financial literacy and present bias raise the likelihood of choosing an AMP. Financially literate individuals are also more likely to choose an Adjustable Rate Mortgage (ARM), suggesting they avoid paying the term premium of a fixed rate mortgage.     

Anatomy of an ARM: The Interest-Rate Risk of Adjustable-Rate Mortgages

This article analyzes the dynamics of the commonly used indices for adjustable rate mortgages and systematically compares the effects of their time-series properties on the interest-rate sensitivity of adjustable-rate mortgages. Our ARM valuation methodology allows us simultaneously to capture the effects of index dynamics, discrete coupon adjustment, mortgage prepayment, and both lifetime and periodic caps and floors. We can, moreover, either calculate an optimal prepayment strategy for mortgage holders or use an empirical prepayment function. We find that the different dynamics of the major ARM indices lead to significant variation in the interest-rate sensitivities of loans based on different indices. We also find that changing assumptions about contract features, such as loan caps and coupon reset frequency, has a significant, and in some cases unexpected, impact on our results.     

Pricing Effects of the Decision to Sell or Hold Adjustable Rate Mortgage Loans in a Portfolio

Residential mortgage originators can transfer loans to ultimate lenders quickly and efficiently using the secondary mortgage market. Some adjustable rate mortgage (ARM) lenders use this outlet consistently while others hold whole loans in their portfolios on a long-term basis. Selling and holding lenders should respond to different economic factors when setting yields on ARM loans originated because their long-term positions in the loans are so diverse. This paper develops and tests a model of differential pricing behavior for selling and holding strategies. Empirical results support the notion that lenders use different factors to price loans and that these factors are related to the risks faced by the originating lender given its origination strategy. Additional findings suggest that institutional and firm-specific pricing tendencies exist in the primary mortgage market for adjustable rate debt.     

Adjustable rate mortgages and housing demand: The impact of initial rate discounts

This article investigates the impact of ARM initial rate (teaser) discounts on mortgage choice and housing demand. Because discounted ARM loans may reduce expected user costs, theoretical models predict a positive impact on housing expenditures. To test the hypothesis, a simultaneous model of housing expenditures conditioned upon mortgage instrument choice is estimated using a national sample of transactions for the 1986 to 1988 period. The results indicate that overall housing demand would have been reduced by approximately 13 percent during the period in the absence of ARM loans.     

Home mortgage analysis for cultivating crucial spreadsheet and model development skills

Accounting practitioners and academics have identified spreadsheet and model development skills as important for accounting graduates to possess. We present an adaptable mortgage analysis project that provides a practical setting in which students can develop critical spreadsheet modeling skills while demonstrating knowledge of several important principles of accounting and finance. The developed spreadsheet model is designed in a structured manner to permit changing the necessary financial terms and facilitates performing sensitivity analysis on critical variables.The analysis requires an informed decision be made between employing a fixed rate mortgage or an adjustable rate mortgage (ARM) for financing a home purchase. Important theoretical skills required to arrive at an acceptable solution include understanding of present value concepts, effective rate method of interest calculation, and amortization of principle balance. The student must also verify proficiency with the necessary theoretical and practical skills of effective spreadsheet design and model development     

Foreclosure Contagion and the Neighborhood Spillover Effects of Mortgage Defaults

In this paper, I identify shocks to interest rates resulting from two administrative details in adjustable‐rate mortgage contract terms: the choice of financial index and the choice of lookback period. I find that a 1 percentage point increase in interest rate at the time of adjustable‐rate mortgage (ARM) reset results in a 2.5 percentage increase in the probability of foreclosure in the following year, and that each foreclosure filing leads to an additional 0.3 to 0.6 completed foreclosures within a 0.10‐mile radius. In explaining this result, I emphasize price effects, bank‐supply responses, and borrower responses arising from peer effects.     

Borrower mobility, self-selection, and the relative prices of fixed- and adjustable-rate mortgages

This paper analyzes the effect of borrower self-selection between fixed- and adjustable-rate mortgages (FRMs and ARMS) on the pricing of FRMs. Self-selection occurs according to borrower mobility, with the most mobile borrowers favoring ARMS and less mobile borrowers choosing FRMs. The FRM interest rate depends on the average mobility of the FRM borrower pool, which determines the average duration of FRM loans. Comparative-static analysis of the equilibrium shows that any exogenous change that increases the relative attractiveness of FRMs enlarges the FRM borrower pool, which lowers its average mobility, shortens the duration of FRM loans, and thus reduces their price. Thus, an increase in the demand for FRMs actually reduces the FRM interest rate.     

Mortgage Contracts,Strategic Options and Stochastic Collateral

This paper offers a game-theoretic model for both the analysis and valuation of mortgage contracts in the context of an economy with complete information and complete contingent claims markets. We analyze the equilibrium strategy of the lender, who holds an option over the magnitude of mortgage credit extended per dollar of collateral offered, and the mortgagor, who holds options to default or prepay, in a class of intertemporal mortgage contracts collateralized by property evolving according to a random process which is common knowledge to both parties to the mortgage contract. Using continuous–time arbitrage valuation principles, we derive the value of the mortgage contract to both parties and show, through both analytical solutions and numerical simulations, that Markov perfect equilibria exist in which, among other properties, a lower flow of housing services accruing to the borrower, per dollar of initial house value, and a correspondingly lower rate of effective depreciation, will elicit a larger volume of funds offered by a lender; the amount of credit offered, the values of the contract to both lender and mortgagor, and the expected losses to both parties from costly bankruptcy are highly sensitive to the perceived volatility of the value of the property collateralizing the mortgage, even in an economy with complete markets or risk neutrality on the parts of lender and borrower; the upper limit on mortgage credit offered by a rational lender may be a small fraction of the current fair market value of the property, regardless of the contractual yield offered by the borrower, and will decrease, at each such yield, as bankruptcy costs or housing service flows increase; and under significant but plausible values for bankruptcy and costs of liquidating property under foreclosure, the flow of mortgage credit can become negatively related to the spread of the mortgage yield over the riskless rate, with the lender preferring a lower contractual yield to a higher one.