Embedded Options in the Mortgage Contract

Loss mitigation is the process by which lenders attempt to minimize losses associated with foreclosure. As competition increases in the mortgage industry, lenders and servicers are under great pressure to adopt loss mitigation tactics rather than simply use foreclosure as the means of dealing with borrowers in default. This study presents a mortgage-pricing model that fully specifies all borrower options with respect to default, including the ability to reinstate the mortgage out of default. We document the impact of various loss mitigation programs, including forbearance and antideficiency judgments, as well as the value of credit on borrower default behavior.     

Government intervention in the mortgage market: A study of anti-redlining regulations

This paper addresses the question of whether economic incentives exist for mortgage lenders to avoid or to minimize mortgage originations in neighborhoods inhabited primarily by low-income racial minorities. The Option Pricing Model is utilized to determine what mortgage borrower characteristics affect the market value of the mortgage contracts. It is found that existing laws do not enable mortgage lenders to vary either origination prices or mortgage terms so as to adjust for differences in the market values of mortgages. As a result, incentives are created for both the mortgage lender and the mortgage insurer to avoid originations and underwritings in areas with relatively high default probabilities. Various changes in mortgage lending regulations are suggested to eliminate these incentives, and the effects of alternative programs to subsidize mortgage borrowers with relatively high default probabilities are considered.     

Subprime Transitions: Lingering or Malingering in Default?

When a mortgage borrower becomes seriously delinquent (i.e., defaults), the lender initiates a time consuming and complex recovery process that may or may not result in foreclosure and eventual disposition of the real estate collateral (REO). This research studies this transition process for a unique sample of subprime mortgages that were seriously delinquent on September 30, 2001. Eight months later, possible states for the delinquent loans, in order, are 1)to remain delinquent without deteriorating further, 2) foreclosure, 3) worsen, i.e., become more months delinquent, 4) bankruptcy and 5) cure. The data indicate that, relative to prime loans, when subprime loans become seriously delinquent (90 days or longer) they are about twice as likely to become REO but take about four times longer to get there. It is unusual for a subprime default to be cured suggesting considerable forbearance by subprime lenders. We explore determinants of the transition probabilities and find that the most economically important predictors of transition from default to any other state are the number of payments the borrower has made and the loan to value ratio.     

A lender-based theory of collateral

We consider an imperfectly competitive loan market in which a local relationship lender has an information advantage vis-à-vis distant transaction lenders. Competitive pressure from the transaction lenders prevents the local lender from extracting the full surplus from projects. As a result, the local lender inefficiently rejects marginally profitable projects. Collateral mitigates the inefficiency by increasing the local lender's payoff from precisely those marginally profitable projects that she inefficiently rejects. The model predicts that, controlling for observable borrower risk, collateralized loans are more likely to default ex post, which is consistent with the empirical evidence. The model also predicts that borrowers for whom local lenders have a relatively smaller information advantage face higher collateral requirements, and that technological innovations that narrow the information advantage of local lenders, such as small business credit scoring, lead to a greater use of collateral in lending relationships.     

Consequences of Debt Forgiveness: Strategic Default Contagion and Lender Learning

I use a unique data set of loans to small business owners to examine whether lenders face adverse consequences when they grant debt forgiveness to borrowers. I provide evidence consistent with borrowers communicating their debt forgiveness to other borrowers, who then more frequently strategically default on their own obligations. This strategic default contagion is economically large. When the lender doubles debt forgiveness, the default rate increases by 10.9% on average. Using an exogenous shock to the lender's forgiveness policy, my findings suggest that as the lender learns about the extent of borrower communication the lender tightens its debt forgiveness policy to mitigate default contagion.     

Cross-ownership and collateral in lending

Information asymmetry is a major obstacle in both formal and informal loan markets. However, when a borrower and a lender are connected via cross-ownership, this obstacle can be significantly reduced. Cross-ownership enables lenders to collect more concrete and precise information about borrowers, and this lowered information asymmetry reduces the likelihood that the lender will require the borrower to provide collateral. Using a data set of 1091 intercorporate loans from China, we find strong support for the prediction that cross-ownership between lenders and borrowers lowers the collateral requirements by more than 50%. This relation is more pronounced for informationally opaque borrowers and for lending firms with a controlling stake in the borrowing firms.     

Do Savings Associations Have a Special Commitment to Housing?

In this paper, we investigate whether elimination of the savings association charter might reduce lending to nontraditional mortgage borrowers. We present a theoretical model of lender portfolio choice, in which nontraditional lenders have some market power and traditional lenders are price takers in the mortgage market. The comparative statics indicate differences between nontraditional and traditional lenders in terms of their asset allocation responses to changes in borrower income and house prices. Empirical tests indicate the absence of such differences between savings associations and commercial banks, suggesting that elimination of the savings association charter would not impair lending to nontraditional mortgage borrowers.     

Mortgage Brokers and the Refinancing Transaction: Evidence from CRA Borrowers

This study adds to an emerging literature on the lending practices of mortgage brokers during the run-up in home prices prior to 2006. Following a sample of low— and moderate-income borrowers through the first years following home purchase, the analysis identifies differences in the refinancing transaction associated with the use of mortgage brokers vs. retail lenders. Specifically, the analysis includes measures of the refinancing process, including whether the lender initiated contact with the borrower, whether the terms of the mortgage changed at closing, and the level of borrower satisfaction in hindsight. Care must be taken in extrapolating from this sample to the broader mortgage market, as all borrowers refinanced out of 30-year fixed-rate purchase mortgages in the Community Advantage Program (CAP). Nevertheless, analysis of this sample offers unique insight into borrowers’ interactions with mortgage brokers during the refinancing transaction. Origination with a mortgage broker, compared with origination through a retail lender, is associated with both a less satisfactory refinancing process and a higher likelihood of refinancing into an adjustable-rate mortgage (ARM).     

Predatory lending and the subprime crisis

We measure the effect of a 2006 antipredatory pilot program in Chicago on mortgage default rates to test whether predatory lending was a key element in fueling the subprime crisis. Under the program, risky borrowers or risky mortgage contracts or both triggered review sessions by housing counselors who shared their findings with the state regulator. The pilot program cut market activity in half, largely through the exit of lenders specializing in risky loans and through a decline in the share of subprime borrowers. Our results suggest that predatory lending practices contributed to high mortgage default rates among subprime borrowers, raising them by about a third.     

How does working in a finance profession affect mortgage delinquency?

This paper uses a dataset from a leading American subprime lender, which contains detailed information on borrower and loan characteristics. We find that financial professionals are less likely to become delinquent. This effect cannot be explained by borrower characteristics, such as income, education, loan terms, property characteristics, geographic effects, or strategic default. We also find variation in the effect of working in a financial profession across borrowers of different ages and income levels. We discuss explanations for these results.     

Breakeven Determination of Loan Limits for Reverse Mortgages under Information Asymmetry

Since the loan limit of a reverse mortgage is a major concern for the borrower as well as the lender, this paper attempts to develop an option-based model to evaluate the loan limits of reverse mortgages. Our model can identify several crucial determinants for reverse mortgage loan limits, such as initial housing price, expected housing price growth, house price volatility, mortality distribution, and interest rates. We also pay special attention to the important implication of mortgage lenders’ informational advantage over reverse mortgage borrowers concerning housing market risk. In reverse mortgage markets, the elderly borrowers typically hold far less, relative to the lenders, or no information about the lenders’ underlying mortgage pools. Such information asymmetry leads these two categories of market participants to generate different perspectives on the risk of the collateralized properties, which can be identified to be important in determining the maximum loan amounts of reverse mortgages. We further find that the maximum loan amount of a reverse mortgage decreases in the correlation between the returns on the pooled underlying housing properties but increases with the number of the pooled mortgages.     

Mortgage Default during the U.S. Mortgage Crisis

Which theory can quantitatively explain the rise in mortgage defaults during the U.S. mortgage crisis? This paper finds that the double‐trigger hypothesis, which attributes mortgage default to the joint occurrence of negative equity and a life event such as unemployment, is consistent with the evidence. By contrast, a traditional frictionless default model strongly overpredicts the increase in default rates. This paper provides microfoundations for double‐trigger behavior in a model where unemployment causes liquidity problems for the borrower. This framework implies that mortgage crises may be mitigated at a lower cost by bailing out borrowers instead of lenders.     

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.     

Tests of ex ante versus ex post theories of collateral using private and public information

Collateral is a widely used, but not well understood, debt contracting feature. Two broad strands of theoretical literature explain collateral as arising from the existence of either ex ante private information or ex post incentive problems between borrowers and lenders. However, the extant empirical literature has been unable to isolate each of these effects. This paper attempts to do so using a credit registry that is unique in that it allows the researcher to have access to some private information about borrower risk that is unobserved by the lender. The data also include public information about borrower risk, loan contract terms, and ex post performance for both secured and unsecured loans. The results suggest that the ex post theories of collateral are empirically dominant, although the ex ante theories are also valid for customers with short borrower–lender relations that are relatively unknown to the lender.     

National corruption and international banking

This paper identifies national corruption as a determinant of international banking. Using total international banking claims of 21 countries from worldwide borrowers, at the bilateral lender-borrower level, we document that when lender countries are less corrupt than borrower countries, international banking volume tends to be higher between countries with similar corruption levels. In contrast, when lender countries are more corrupt than borrower countries, corruption difference has no significant impact on international banking volume, because relatively more corrupt lenders perceive relatively less corrupt borrowers as generally creditworthy. The effect of corruption difference weakened during the 2007–2009 financial crisis, but subsequently regained its precrisis strength among the relatively less corrupt lenders while gaining new force among relatively more corrupt lenders.     

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.     

Legal Restrictions in Personal Loan Markets

This study examines the pricing of personal loans in the form of second mortgages to determine whether state-specific default laws have an effect on the availability and cost of that debt. We examine the pricing of loans to higher risk borrowers and whether borrowers in states that limit lender ability to seek default remedies pay higher credit costs. Our results indicate that, for the most part, lenders rationally price loans to higher risk borrowers. However, when we focus on borrowers with low credit scores, the results indicate that mean actual loan rates are higher than those predicted by our model. The results also indicate that state-specific default laws have an effect on the price of credit. Finally, the results show that there is a greater degree of error in the pricing of second mortgage loans to borrowers with low credit scores than to borrowers with high credit scores.     

Collateralization,Bank Loan Rates,and Monitoring

We show that collateral plays an important role in the design of debt contracts, the provision of credit, and the incentives of lenders to monitor borrowers. Using a unique data set from a large bank containing timely assessments of collateral values, we find that the bank responded to a legal reform that exogenously reduced collateral values by increasing interest rates, tightening credit limits, and reducing the intensity of its monitoring of borrowers and collateral, spurring borrower delinquency on outstanding claims. We thus explain why banks are senior lenders and quantify the value of claimant priority.     

Residential Mortgage Default: The Roles of House Price Volatility, Euphoria and the Borrower’s Put Option

House price volatility; lender and borrower perception of price trends, loan and property features; and the borrower’s put option are integrated in a model of residential mortgage default. These dimensions of the default problem have, to our knowledge, not previously been considered altogether within the same investigation framework. We rely on a sample of individual mortgage loans for 20 counties in Florida, over the period 2001 through 2008, third quarter, with housing price performance obtained from repeat sales analysis of individual transactions. The results from the analysis strongly confirm the significance of the borrower’s put as an operative factor in default. At the same time, the results provide convincing evidence that the experience in Florida is in part driven by lenders and purchasers exhibiting euphoric behavior such that in markets with higher price appreciation there is a willingness to accept recent prior performance as an indicator of future risk. This connection illustrates a familiar moral hazard in the housing market due to the limited information about future prices.     

Wimp or tough guy: Sequential default risk and signaling with mortgages

When analyzing what to do with a currently defaulted loan, the lender must consider the impact of his foreclosure versus workout decision on the expected payoff of subsequent loans as well as on the payoff of the current loan. This is because borrowers with future loan payoff dates can observe the lender's actions and update prior information regarding the lender's toughness or wimpiness when dealing with defaulted loans. In this paper we consider the strategic interaction between a lender and multiple borrowers, where borrowers have distinct, sequentially maturing mortgage loans and where the lender has private information regarding the magnitude of his foreclosure costs. We find that a variety of strategic outcomes can occur that explain the co-existence of workout and foreclosure in the mortgage marketplace. In general, the lender's workout/foreclosure response depends on the cost of bluffing (e.g., foreclosing when workout is cheaper) versus the value of reducing expected defaults and workout concession losses on future loans (e.g., imperfect foreclosure cost information leads future borrowers to payoff the mortgage when default would have been optimal under perfect information). Given recently revised expectations regarding the depth of the real estate recession, our results may explain the move by many lenders away from granting workout concessions and toward taking a harder line when dealing with defaulting borrowers.