What motivates a subprime borrower to default?

This paper uses a real options approach to analyse the exercise of the default option embedded in mortgages. In particular, it examines a subprime household who borrows at a premium, but hopes to refinance at prime rates if their house appreciates. We show how these optimal default decisions can be used to calculate probabilities of default – an important input for risk management and pricing purposes. Numerical examples are provided, calibrated to US data. In a low interest rate environment, the credit-upgrade potential may discourage subprime borrowers from defaulting. However, default probabilities are highly sensitive to changes in interest rates and house prices. This provides a rational explanation for the prevalence of adjustable rate mortgages among subprime borrowers, and the subsequent large numbers of defaults, when interest rates rose and house prices declined.     

A Model of Mortgage Default

In this paper, we solve a dynamic model of households' mortgage decisions incorporating labor income, house price, inflation, and interest rate risk. Using a zero‐profit condition for mortgage lenders, we solve for equilibrium mortgage rates given borrower characteristics and optimal decisions. The model quantifies the effects of adjustable versus fixed mortgage rates, loan‐to‐value ratios, and mortgage affordability measures on mortgage premia and default. Mortgage selection by heterogeneous borrowers helps explain the higher default rates on adjustable‐rate mortgages during the recent U.S. housing downturn, and the variation in mortgage premia with the level of interest rates.     

Forced Asset Sales and the Concentration of Outstanding Debt: Evidence from the Mortgage Market

We provide evidence that lenders differ in their ex post incentives to internalize price‐default externalities associated with the liquidation of collateralized debt. Using the mortgage market as a laboratory, we conjecture that lenders with a large share of outstanding mortgages on their balance sheets internalize the negative spillovers associated with the liquidation of defaulting mortgages and thus are less inclined to foreclose. We provide evidence consistent with our conjecture. Arguably as a consequence, zip codes with a higher concentration of outstanding mortgages experience smaller house prices declines. These results are not driven by unobservable zip code or lender characteristics.     

Personal Experiences and Expectations about Aggregate Outcomes

Using novel survey data, we document that individuals extrapolate from recent personal experiences when forming expectations about aggregate economic outcomes. Recent locally experienced house price movements affect expectations about future U.S. house price changes and higher experienced house price volatility causes respondents to report a wider distribution over expected U.S. house price movements. When we exploit within‐individual variation in employment status, we find that individuals who personally experience unemployment become more pessimistic about future nationwide unemployment. The extent of extrapolation is unrelated to how informative personal experiences are, is inconsistent with risk adjustment, and is more pronounced for less sophisticated individuals.     

The valuation at origination of fixed-rate mortgages with default and prepayment

This paper develops a model to rationally price fixed-rate mortgages, using the arbitrage principles of option pricing theory. The paper incorporates amortization, prepayment and default in valuing the mortgage. Having completely specified the model, numerical procedures value the different features of the mortgage contract under a variety of economic conditions. The necessity of having both the interest rate and the house price as explanatory variables, due to the interaction of default and prepayment, is demonstrated. The numerical solutions presented center around mortgage pricing at origination. Thus, variations in the equilibrium contract rate are examined for differing economic conditions and changes in the contract. Finally, by presenting a complete model, the paper yields insights for the existence of common institutional practices.     

Spatial Variation in Reverse Mortgages Usage: House Price Dynamics and Consumer Selection

Reverse mortgages have been obtained by nearly one million senior households. In the future, the number of eligible households will grow substantially, about 80 % are homeowners, and many of them have substantial equity in their home. We study state-level variations in rate of originations of HUD’s Home Equity Conversion Mortgage (HECM) product. Our focus is on the impact of house prices on the origination rate. We test the hypothesis that in states where real house prices are volatile and the current level is above the long term norm, seniors rationally anticipate future reductions in house prices and lock-in their housing equity gains by obtaining a reverse mortgage. We test alternative hypotheses, the first being that seniors living in states with high rates of house price appreciation increase their use of HECMs as a means to convert an illiquid wealth capital gain into a more liquid asset. A second alternative hypothesis is that the intertemporal changes in originations of HECMs were a result of changes in the supply of mortgage originators. Our empirical work supports the hypothesis that seniors used HECMs to insure against house price declines, but we find no evidence in support of the alternative hypotheses.     

Financial dollarization and systemic risks: New empirical evidence

This paper explores the persistence of financial dollarization in a group of 79 economies with different levels of development. Our main hypothesis is that a high level of domestic debt combined with default risk explains this persistence, even after a decline in inflation rates. Using the generalized method of moments (GMM) in a panel data analysis, our results show that inflation risks caused by increasing probability of default account for financial dollarization more than inflation rate itself. After the decrease in inflation rates, the foreign currency-denominated deposits remain large because of the high debt-to-GDP ratios, particularly in speculative-grade economies. High public indebtedness leads to expectations of default. Dollarization is a rational response to the future inflation associated with investors' expectations of default observed in highly indebted economies.     

The good,the bad and the impaired: A credit risk model of the Irish mortgage market

Using a uniquely constructed loan-level dataset of the residential mortgage book of Irish financial institutions, this paper provides a framework for estimating default probabilities of individual mortgages. In contrast to the popular stock delinquency approach, this model provides estimates of default and cure flows: a requirement of the stress test approach adopted by the European Central Bank's comprehensive assessment. In addition, both default and cure transitions are modelled as functions of micro- and macro-covariates including loan characteristics and current macroeconomic conditions such as house prices and unemployment. When comparing the competing equity and affordability effects, labour market deterioration played a stronger role than house equity in the rise of Irish default rates. For cures, a scarring effect of default is identified and estimated with the probability of a loan returning to performing reducing by almost four per cent each month a loan remains delinquent.     

The Determinants of Attitudes toward Strategic Default on Mortgages

We use survey data to measure households’ propensity to default on mortgages even if they can afford to pay them (strategic default) when the value of the mortgage exceeds the value of the house. The willingness to default increases in both the absolute and the relative size of the home‐equity shortfall. Our evidence suggests that this willingness is affected by both pecuniary and non‐pecuniary factors, such as views about fairness and morality. We also find that exposure to other people who strategically defaulted increases the propensity to default strategically because it conveys information about the probability of being sued.     

Mortgage defaults

A life-cycle model is developed in which households face income and house-price risk and buy houses with mortgages. This model, which accounts for key features in U.S. data, is used as a laboratory for prudential policy. Recourse mortgages increase the cost of default but also lower equity and increase payments. The effect on default is nonmonotonic. Loan-to-value (LTV) limits increase equity and lower the default rate, with negligible effects on housing demand. Combining recourse mortgages and LTV limits reduces the default rate while boosting housing demand. Together, they also prevent spikes in default after large declines in aggregate house prices.     

Foreclosure Sales: The Effects of Price Expectations, Volatility and Equity Losses

Where borrowers are personally liable for shortfalls when they default on their mortgages, lenders have to exercise a duty of good faith in securing a reasonable value for the foreclosed property. The lender is entitled to recover the outstanding loan as quickly as possible, and is not bound to sell the foreclosed property at the highest price. Such an institutional setting allows us to study lender and borrower behavior, specifically the influence of price expectations, volatility and equity losses on foreclosure transactions using non-foreclosure transactions as a comparison. Our results show that differences in seller response to market expectations and equity losses exist across foreclosure and non-foreclosure transactions. Seller behavior matters. While price expectations, volatility and equity losses are influential factors for individual households, past price movements is the most important. This study also further seeks to distinguish loss aversion from disposition effect. By controlling for properties that suffered losses in equity but did not sell, we are able to examine the disposition effect in house owners. The result shows that there is disposition effect for non-foreclosure properties, where individual homeowners are reluctant to sell if the properties suffer losses.

Modeling the behavior of real asset prices

Recently there has been much research treating housing and other real assets as financial claims, primarily in order to value their derivative assets, such as mortgages and mortgage-backed securities. Real asset prices are then typically modeled as a lognormal process, in the same manner that has traditionally been applied to firm value. The service flow or implicit value of a house is thus considered, in analogy with stock dividends, to be a fixed proportion of the fluctuating house price. We consider the appropriateness of this formulation and draw some distinctions between real assets, such as a house, and investment enterprises, such as a firm. We then propose an alternative method of formulating the service flow and the price of real assets which seems more appropriate to the economic characteristic of such assets.     

A Bayesian Multivariate Risk-Neutral Method for Pricing Reverse Mortgages

In this article, we propose a Bayesian multivariate framework to price reverse mortgages that involve several risks in both insurance and financial sectors (e.g., mortality rates, interest rates, and house prices). Our method is a multivariate extension of the Bayesian risk-neutral method developed by Kogure and Kurachi. We apply the proposed method to Japanese data to examine the possibility for a successful introduction of reverse mortgages into Japan. The results suggest a promising future for this new market.     

Fixed-Rate Endowment Mortgage and Mortgage Indemnity Valuation

We use a contingent claims framework for valuing the the default and prepayment embedded options in certain British fixed-rate endowment mortgages, with a (capped) mortgage indemnity guarantee (MIG). This methodology provides a template for the borrower, lender, and insurer to compare mortgage terms, including the fairness of contract rates, arrangement fees, prepayment penalties, any MIG premiums required, and co-insurance exposure. With empirical inputs, this model may eventually be useful as a mark-to-value proxy for all parties, as expected parameters change (especially interest rate and house price levels, and expected future volatilities), for purposes of determining valued added accounting, appropriate reserves, and indeed for setting premiums and business drivers. Fixed-rate endowment mortgages differ from fixed-rate repayment mortgages primarily because, in the event of early termination, the amount owed by the borrower is a function of the evolution of the term structure of interest rates, whereas for a repayment mortgage it is pre-determined. We compare endownment and repayment mortgages for different levels of loan-to-value ratios, interest rate and house price volatilities.     

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.     

Villains or scapegoats? The role of subprime borrowers in driving the U.S. housing boom

An expansion in mortgage credit to subprime borrowers is widely believed to have been a principal driver of the 2002-2006 U.S. house price boom. By contrast, this paper documents a robust, negative correlation between the growth in the share of purchase mortgages to subprime borrowers and house price appreciation at the county-level during this time. Using two different instrumental variables approaches, we also establish causal evidence that house price appreciation lowered the share of purchase loans to subprime borrowers. Further analysis using micro-level credit bureau data shows that higher house price appreciation reduced the transition rate into first-time homeownership for subprime individuals. Finally, the paper documents that subprime borrowers did not play a significant role in the increased speculative activity and underwriting fraud that the literature has linked directly to the housing boom. Taken together, these results are more consistent with subprime borrowers being priced out of housing boom markets rather than inflating prices in those markets.     

House prices, non-fundamental components and interstate spillovers: The Australian experience

Using Australian capital city data from 1984Q3--2008Q2, this paper utilizes a dynamic present value model within a VAR framework to construct time series of house prices depicting what aggregate house prices should be given expectations of future real disposable income - the “fundamental price” - and continues by comparing capital city fundamental prices with actual prices. The extent to which revealed capital city “non-fundamental” components spillover from state to state, as well as their long-term impact is also investigated. Results provide evidence of periods of sustained deviations of house prices from values warranted by income for all state capitals with the greatest deviations arising in the NSW market and starting around 2000. In general NSW is relatively more susceptible to spillovers transmitted from other states while ACT and WA are most isolated from the rest of the country.     

Testing for Fraud in the Residential Mortgage Market: How Much Did Early-Payment-Defaults Overpay for Housing?

Current explanations for the high rate of default and foreclosure in the U.S. emphasize house price fluctuations and lax lending criteria. Another explanation for default and foreclosure, which has generally been neglected in the academic literature but not by the FBI, is fraud. One impediment to identifying and measuring fraud is the lack of statistical tests capable of detecting it. This paper proposes a simple method to detect transactions where fraud may have occurred. The models proposed here are important for at least three reasons. First they can document the role of fraud in the mortgage foreclosure crisis. Second, they can serve as part of a forensic effort designed to detect and deter mortgage fraud. Third, they demonstrate that mortgage fraud distorts house price indexes because it artificially elevates house prices during the period of fraud followed by a subsequent collapse due to the foreclosure sales. Accordingly, fraud can give the false impression that foreclosure lowers area house prices when it actually artificially inflates them. This suggests an alternative interpretation for the recent empirical literature on externalities from foreclosure.     

Loss given default of high loan-to-value residential mortgages

This paper studies loss given default using a large set of historical loan-level default and recovery data of high loan-to-value residential mortgages from several private mortgage insurance companies. We show that loss given default can largely be explained by various characteristics associated with the loan, the underlying property, and the default, foreclosure, and settlement process. We find that the current loan-to-value ratio is the single most important determinant. More importantly, mortgage loss severity in distressed housing markets is significantly higher than under normal housing market conditions. These findings have important policy implications for several key issues in Basel II implementation.     

Household Leverage

I propose a life‐cycle model where a finitely lived risk‐averse household finances its housing investment by opting to provide a down payment. Given that the household may default, risk‐neutral lenders efficiently charge a default premium to hedge against expected losses. This has two major consequences. First, the higher the house price volatility, the higher the down payment the household provides to decrease the volatility of the equity share in the house. Second, in the presence of borrowing constraints, higher risk of unemployment persistence and/or a substantial drop in labor income decreases the leveraged position the household takes on.