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2001, SSRN Electronic Journal
Option-based models of mortgage default posit that the central measure of default risk is the loanto-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 relation may be observed between default and LTV. This is because lenders may require lower LTVs in order to mitigate risk, so 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 9,639 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.
Social Science Research Network, 1995
This paper extends options-based mortgage default theory to include transaction costs. According to option theory, without frictions and without a value to future exercise, the borrower's put option is in the money and is exercised whenever the value of the collateral falls below the value of the mortgage. However, when transaction costs are considered, the rational borrower will default only when the value of the collateral falls below the mortgage value by an amount equal to the net transaction costs. These transaction costs include the costs of moving, brokerage fees, taxes, future deficiency payments, and the stigma associated with default; and are offset by free rents during delinquency. Since, for most borrowers, net transaction costs are positive, standard measures of equity may be significantly negative by the time the rational borrower exercises the default option. This research shows theoretically and empirically the effect of frictions on the individual strike price. While the frictionless default option model provides significant structure to default analysis, its only implication for equity loss severity is that it is expected to be zero. 1 Under frictionless default, loss severity is not influenced by the origination loan-to-value ratio (LTV), the property's location, and many other variables that have been shown to alter its value.
Real Estate Economics, 2004
SSRN Electronic Journal, 2013
This paper examines the role of mortgage supply characteristics in both affordability and financial risk outcomes, in the wake of the mortgage crisis. A hallmark of the crisis was a shift in mortgage lending products, such as interest only, negative amortization or subprime mortgages. What impact did this shift have on consumers, investors and the overall financial system? In an effort to better understand the impact of various products on affordability as well as financial risk outcomes, we address the performance of these products and their interaction with the financial sector in the production of systemic risk. While ex post the performance of these mortgages was disastrous and neither expected nor priced, we also show that ex ante credit risk was mispriced. While it may seem obvious that such instruments allow more borrowing than otherwise would occur in previously affordability and credit score-constrained markets, this may not be the case. In fact we show, that, although the credit box was expanded by these products, this expansion occurred without an increase in homeownership. I. Executive Summary and Introduction This paper examines the role of mortgage supply characteristics in both affordability and financial risk outcomes, in the wake of the mortgage crisis. A hallmark of the crisis was a shift in mortgage lending products (shown in Figure 1). What impact did this shift have on consumers, investors and the overall financial system? In an effort to better understand the impact of various products on affordability as well as financial risk outcomes, we address the performance of these products and their interaction with the financial sector in the production of systemic risk. While ex post the performance of these mortgages was disastrous (shown in Figure 6), and neither expected nor priced, we also show that ex ante credit risk was mispriced. The links between mortgage lending instruments, such as interest only, negative amortization or subprime mortgages, and underlying house price volatility and associated risks have been explored in recent empirical and theoretical research. While it may seem obvious that such instruments allow more borrowing than otherwise would occur in previously affordability and credit score-constrained markets, and prices rise as a result, the relationship may very well go both ways. That is, it is possible that markets with rising prices invite more supply of nontraditional mortgage products, and, under certain conditions, this could occur without an increase in credit risk, for example, if there is an innovation in lending technology that better discriminates good from bad risks and expands the credit box. This paper reviews the literature on this question, summarizing models in which the expansion of nontraditional mortgages (NTM) is associated with a decrease as well as an increase in overall financial risk. Increased risk may come from several sources. First, it is possible that the expansion of NTM occurs along with the easing of credit constraints and underwriting standards associated with increased default risk; in short, increasing lending to riskier borrowers. Secondly, it is possible that the mortgage instruments themselves are riskier.). Third, it is possible that the risk due to either of these factors is not priced. But as noted it also possible that an increase in NTM occurs without an increase in risk but rather with a decrease in risk. That is, NTM expands when prices expand, and this is rational because prices increase due to a decline in risk as a result of an innovation in mortgage lending technology. The problem with this latter explanation as a model of the recent housing and mortgage market boom and bust is that there is evidence that during the expansion period, a key driver of default risk indisputably increased, and that is the consolidated loan-to-value (CLTV) ratio. If technology also shifted so that risk could be calibrated or diversified better, then higher CLTVs could be sustainable. It may have been supposed that there was such a technology shift. But, as we discuss, in fact such a technology shift did not occur in the bubble years. We examine the role of the provision of NTMs for credit risk along with affordability and then turn to systemic risk. Most economies depend on the financial sector for real estate lending, thus real estate booms and financial busts often occur together. And while real estate booms may occur without crises in the financial sector, and vice-versa, these two phenomena have nevertheless been linked in a remarkable number of instances. If the financial sector is exposed to credit risk of sufficient magnitude, the result will be a liquidity and solvency event. Despite the intervention of monetary authorities through QE I, II and III, to maintain low interest rates, a rise in the cost of capital for housing has occurred, along with a significant increase in borrowing constraints. In Part II, which follows, we discuss the expansion and performance of nontraditional mortgages. We then turn to a discussion of the cost of credit when consolidated loan-to-value ratios are accounted for and present results on the ex ante pricing of risk for NTM in Part III. In Part IV we discuss the implications of the expansion in NTM for affordability and homeownership. Part V discusses how and
Journal of Real Estate Research, 1995
This paper extends options-based mortgage default theory to include transaction costs. According to option theory, without frictions and without a value to future exercise, the borrower's put option is in the money and is exercised whenever the value of the collateral falls below the value of the mortgage. However, when transaction costs are considered, the rational borrower will default only when the value of the collateral falls below the mortgage value by an amount equal to the net transaction costs. These transaction costs include the costs of moving, brokerage fees, taxes, future deficiency payments, and the stigma associated with default; and are offset by free rents during delinquency. Since, for most borrowers, net transaction costs are positive, standard measures of equity may be significantly negative by the time the rational borrower exercises the default option. This research shows theoretically and empirically the effect of frictions on the individual strike price. While the frictionless default option model provides significant structure to default analysis, its only implication for equity loss severity is that it is expected to be zero. 1 Under frictionless default, loss severity is not influenced by the origination loan-to-value ratio (LTV), the property's location, and many other variables that have been shown to alter its value.
Journal of Housing Economics, 2014
We study the pathways by which borrowers and lenders influence house prices and default rates via their choices and offerings of fixed-rate and adjustable-rate mortgage products (FRMs and ARMs) in a two-period setting. We extend previous literature on mortgage choice as a tool for borrower risk screening under asymmetric information by incorporating house price externalities. The novelty in our setup is that house prices in the second period are negatively affected by the first-period default rate. We show that when these negative externalities are large, lenders may benefit by offering a lower ARM rate. This outcome, in turn, influences the likelihood of a separating equilibrium in which high-risk (low-risk) borrowers choose ARMs (FRMs) relative to a pooling equilibrium in which both high-risk and low-risk borrowers receive the same contract. When the impact of the negative house price externalities is small, it is more likely that lenders will offer pooling contracts; however, when the impact of the house price externalities is large, it is more likely that lenders will offer separating contracts. We also compare the equilibrium default rates across different contract offerings and find that when the negative house price externalities are large, the pooling FRM contract or the separating contract tends to offer the lowest default rate; however, when the negative house price externalities are small, the pooling ARM contract may result in the lowest default rate.
Regional Science and Urban …, 1996
This paper presents a unified model of the default and prepayment behavior of homeowners in a proportional hazard framework. The model uses the option-based approach to analyze default and prepayment, and considers these two interdependent hazards as competing risks. ...
SSRN Electronic Journal, 2000
We study a unique data set of borrower-level credit information from TransUnion, one of the three major credit bureaus, which is linked to a database containing detailed information on the borrowers' mortgages. We find that the updated credit score is an important predictor of mortgage default in addition to the credit score at origination. However, the 6-month change in the credit score also predicts default: A positive change in the credit score significantly reduces the probability of delinquency or foreclosure. Next, we analyze the consequences of default on a borrower's credit score. The credit score drops on average 51 points when a borrower becomes 30-days delinquent on his mortgage, but the effect is much more muted for transitions to more severe delinquency states and even for foreclosure.
SSRN Electronic Journal, 2007
This paper presents a simple version of the application of option based pricing models to mortgage credit risk. The approach is based on the notion that default can be viewed as exercising a put option, and that the place to look in modelling default is the extent to which the option is in the money (the extent to which the borrower has negative equity in the property) and, given that, the incentive, e.g., a trigger event and inability to withstand it, to exercise the option. The main focus is on how the probability of default can be estimated and how the default risk can be priced. The analysis considers both "first principles" and specific analysis about U. S. default experience.
Journal of Housing Economics, 2005
Loan-to-value ratio and debt service coverage ratios have long been viewed as the two most important quantitative measures of the default risk of commercial mortgages. Option-based models of default provide strong theoretic support for the importance of original loan-to-value ratio. The same theoretical predictions have found strong empirical support in residential single-family mortgage analyses. However, recent empirical studies of commercial mortgage default have raised questions about the role of loan-to-value ratio in assessing the riskiness of commercial mortgages. These studies generally either find no relationship or a puzzling negative relationship between loan-to-value ratio and default. This paper uses a very large database of commercial loan histories to thoroughly investigate this issue. It finds strong evidence that loan-to-value and debt service coverage ratios are endogenous to the underwriting process. Lenders react to other-unmeasured-risk factors with credit rationing and pricing. As a result, unusually low loan-to-value ratio loans appear to have above average risk in other dimensions and their default probabilities are equal to or higher than average. The results show that the pricing spread that lenders establish as part of the underwriting process serves as an excellent summary measure of the riskiness of the loan. A test of lendersÕ ability to appropriately price loan-to-value risk finds that, while there is some unpriced effect of 1051-1377/$ -see front matter Ó HOUSING ECONOMICS loan-to-value ratio after controlling for the lenderÕs pricing, introducing lender pricing into the model removes the otherwise puzzling negative loan-to-value and default relationship previously observed in the literature.
International Journal of Economics and Financial Research, 2021
This paper examines the role of loan characteristics in mortgage default probability for different mortgage lenders in the UK. The accuracy of default prediction is tested with two statistical methods, a probit model and linear discriminant analysis, using a unique dataset of defaulted commercial loan portfolios provided by sixty-six financial institutions. Both models establish that the attributes of the underlying real estate asset and the lender are significant factors in determining default probability for commercial mortgages. In addition to traditional risk factors such as loan-to-value and debt servicing coverage ratio lenders and regulators should consider loan characteristics to assess more accurately probabilities of default.
RePEc: Research Papers in Economics, 2010
Strategic default behavior suggests that the default process is not only a matter of inability to pay. Economic costs and benefits affect the incidence and timing of defaults. As with prior research, we find that people default strategically as their home value falls below the mortgage value (exercise the put option to default on their first mortgage). While some of these homeowners default on both first mortgages and second lien home equity lines, a large portion of the delinquent borrowers have kept their second lien current during the recent financial crisis. These second liens, which are current but stand behind a seriously delinquent first mortgage, are subject to a high risk of default. On the other hand, relatively few borrowers default on their second liens while remaining current on their first. This paper explores the strategic factors that may affect borrower decisions to default on first vs. second lien mortgages. We find that borrowers are more likely to remain current on their second lien if it is a home equity line of credit (HELOC) as compared to a closed-end home equity loan. Moreover, the size of the unused line of credit is an important factor. Interestingly, we find evidence that the various mortgage loss mitigation programs also play a role in providing incentives for homeowners to default on their first mortgages.
Real Estate Economics, 2002
We show how agency problems between lenders (principals) and third–party originators (TPO; agents) imply that TPO–originated loans are more likely to default than similar retail–originated loans. The nature of the agency problem is that TPOs are compensated for writing loans, but are not completely held accountable for the subsequent performance of those loans. Using a hazard model with jointly estimated competing risks and unobserved heterogeneity, we find empirical support for the TPO/default prediction using individual fixed–rate subprime loans with first liens secured by residential real estate originated between January 1, 1996, and December 31, 1998. We find that apparently equal loans (similar ability to pay, option incentives and term) can have unequal default probabilities. We also find that, initially, the agency–cost risk was not priced. At first, the market did not recognize the higher channel risk, since TPO and retail loans received similar interest rates even though t...
The Journal of Real Estate Finance and Economics, 2011
This paper presents a systematic framework for capturing the collateraldriven mortgage default risk. A forward-looking home price distribution model is developed that explicitly incorporates different sources of volatility in the market value of collateral houses. A consistent and computationally-efficient top-down approach of home price simulation is also introduced. We show that with the proper inclusion of all relevant sources of volatilities, the top-down approach provides close approximation to the results generated by a theoretically sound but computationally demanding bottom-up simulation approach. Using a numerical simulation, we demonstrate that a geographically-diversified mortgage pool entails a substantially lower level of systematic collateral driven mortgage default risk compared to a spatially-concentrated pool. However, the expected default risk is shown to remain unaffected, indicating that the benefit from geographic diversification is only realized through lower risk-based capital requirements, not in lower mortgage insurance premiums. Based on the US state level house price indices, the systematic risk of a state-concentrated mortgage pool is estimated to be about four times higher than that of a nationally-diversified mortgage pool. Our results also show that, among the different volatility components, omitting the cross-sectional dispersion of
Journal of Housing Economics, 2010
Using a national loan level data set we examine loan default as explained by local demographic characteristics and state level legislation that regulates foreclosure procedures and predatory lending, using a hierarchical linear model. When controlling for loan and local conditions, we observe significant variation in the default rate across states, with lower default levels in states with higher temporal and financial costs to lenders. State level legislative influences provide a foundation for discussion of national level policy that further regulates predatory lending and financial institution foreclosure activities.
SSRN Electronic Journal, 2006
After a mortgage is originated the borrower promises to make scheduled payments to repay the loan. These payments are sent to the loan servicer, who may be the original lender or some other firm. This firm collects the promised payments and distributes the cash flow (payments) to the appropriate investor/lender. A large data set (loan-level) of securitized subprime mortgages is used to examine if individual servicers are associated with systematic differences in mortgage performance (termination). While accounting for unobserved heterogeneity in a competing risk (default and prepay) proportional hazard framework, individual servicers are associated with substantial and economically meaningful impacts on loan termination.
1995
This paper provides explicit and powerful tests of contingent claims approaches to modeling mortgage default. We investigate a model of "frictionless" default (i.e., one in which transactions costs, reputation costs, and moving costs play no role) and analyze its implications--the relationship between equity and default, the timing of default, its dependence upon initial conditions, and the severity of losses. Absent transactions costs and other market imperfections, economic theory makes well-defined predictions about these various outcomes. The empirical analysis is based upon two particularly rich bodies of micro data: one indicating the default and loss experience of all mortgages purchased by the Federal Home Mortgage Corporation (Freddie Mac), and a large sample of all repeat sales of single family houses whose mortgages were purchased by Freddie Mac since 1976.
2007
This paper examines the relationship between mortgage default decisions and relevant observable variables under the light of a random utility model. The focus of the study is the Colombian mortgage market between 1997 and 2004 using two separate data sets that are matched using simulation techniques. The estimation allows the computation of mortgage default probabilities that are directly related to an underlying model of optimal default. Results are sharp and indicate that variation in current income has little effect on mortgage default, compared to housing prices and mortgage balances.
Journal of Monetary Economics, 1982
This papor ad&sacs the question of whether economic incentives exist for mortgage lenders to avoid or to mini&e mortgage originations in neighborhoods inhabited primarily by lowincome racial minoriti s. 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 rnable 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 defaul; probabilities. Various changes in mortgage lending regulations are suggested to eliminate these incentives, and the effects of alternative programs to subsidize mortgage borrowtrs with relatively high default probabilities are considered.
We try to estimate default and deference probabilities of commercial mortgages via an American option pricing framework. In this framework, the borrower is assumed to default either if the price of the real estate drops below the level of the outstanding loan balance or the net operating income of the real estate is less than the periodic payments of the loan. The borrower is assumed to defease when the gain from defeasing to refinance a new project is large enough to cover the loss occurring due to defeasence. To the best of authors' knowledge, this is the first study that simultaneously considers the defeasence and default options of a mortgage borrower.
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