Choice of Mortgage Contracts: Evidence from the Survey of Consumer Finances

This study revisits the empirical question of the determinants of the choice between fixed‐ and adjustable‐rate mortgages using data from the Survey of Consumer Finances that overcome some of the data limitations in previous studies. The results from a logit model of mortgage choice indicate that pricing variables and affordability are important considerations. We also find that factors, such as mobility expectations, income volatility and attitudes toward financial risk largely influence mortgage choice, with more risk‐averse borrowers preferring fixed‐rate mortgages. For households that are less risk averse, the mortgage type choice decision is less sensitive to pricing variables and income volatility, and affordability factors are not significant. These findings provide empirical support that underscores the importance of attitudes toward risks in mortgage choice.     

A Simple Model of Mortgage Insurance

This paper uses a two-period model to analyze the borrower's choice of an optimal time pattern of mortgage payments in a world where future house values are uncertain. Since a decline in values can make the borrower's equity negative, leading to default on the mortgage, lenders in the model will require the purchase of mortgage insurance. The premium on the insurance policy will depend on the riskiness of the mortgage, which in turn depends on the magnitude of the initial mortgage payment. Mortgages with large (small) first payments will carry low (high) insurance premiums. Taking this fact into account, the borrower decides on the optimal riskiness of his mortgage. Borrowers who discount the future heavily choose risky mortgages carrying high insurance premiums, while those who place a higher value on future consumption opt for less risky contracts carrying low (or zero) premiums.     

Immigrants and Mortgage Delinquency

This article studies the effect of immigrant status on mortgage delinquency. Due to their different social and economic background, immigrant households may not integrate well into the host society, and therefore are more likely to be delinquent on mortgages than otherwise identical native‐born households. We test this hypothesis by comparing the mortgage delinquency rate between immigrant and native‐born households in the 2009 PSID (Panel Study of Income Dynamics) data, in which all the immigrant households have been in the United States for more than 10 years. We find that, after controlling for observables, those relatively recent immigrants who have been in the United States for 10 to 20 years have a higher mortgage delinquency rate than native‐born, while immigrants who have resided in the United States for more than 20 years are no different from native‐borns. In addition, there is no evidence that the second generation of immigrants is more likely to be delinquent than the third‐or‐higher generations. Our results are robust to potential sample‐selection bias and functional misspecifications.     

Down Payment Saving in the United States: Evidence from the Panel Study of Income Dynamics

We present a model of household saving toward a mortgage loan under an exogenous down payment requirement and preference for owning over renting. Our model explains a set of empirical observations such as the dual effect in the form of some households, in response to higher down payments, becoming discouraged savers while those who do not abandon purchasing plans save more. We also employ instrumental variable‐based methods to investigate the down payment saving behavior of first‐time home buyers in the United States. The empirical results based on Panel Study of Income Dynamics (PSID) data support the inelastic down payment elasticity of saving implied by our model.     

Origination Channel,Prepayment Penalties and Default

This article presents evidence that nonbank‐originated subprime mortgages have a higher probability of default than bank‐originated subprime mortgages, but only for loans with prepayment penalties. Evidence also indicates that nonbanks price prepayment penalties less favorably to borrowers than banks do, and nonbanks originate disproportionately more loans with prepayment penalties in locales with less financially sophisticated borrowers. State antipredatory lending law provisions restricting the use of prepayment penalties eliminate the elevated default risk of nonbank originations relative to bank originations. These findings are consistent with incentives generated by nonbank compensation via yield spread premiums on loans with prepayment penalties.     

Reversing the Trend: The Recent Expansion of the Reverse Mortgage Market

Reverse mortgages allow elderly homeowners to tap into their housing wealth without having to sell or move out of their homes. However, very few eligible homeowners used reverse mortgages to achieve consumption smoothing until recently, when the reverse mortgage market in the United States witnessed substantial growth. In this article, I examine 1989–2007 loan‐level reverse mortgage data and conduct three sets of analyses to better understand the demand for reverse mortgages among elderly homeowners. First, I study the ZIP code characteristics correlated with reverse mortgage originations. Second, I show that recent reverse mortgage borrowers are significantly different from earlier borrowers in many respects. Third, I investigate the reasons why the reverse mortgage market experienced substantial growth in the mid‐2000s. Combining the reverse mortgage data with county‐level house price data, I find that higher house prices lead to more reverse mortgage originations. Specifically, the increases in house prices account for about one‐third of the overall growth in the reverse mortgage market from 2003 to 2007.     

Borrower Attitudes Toward Alternative Mortgage Instruments*

Much of the existing literature on homeownership assumes that financial markets work well enough to allow households to translate permanent income into effective demand. However, transaction costs, imperfections, and uncertainties all constrain the markets' operation so that people are often forced to choose a quantity of housing stock that diverges from their desired consumption level. Instead of being able to borrow against future income for the down payment or to make monthly payments in a pattern that matches future income, young families in their early years may be constrained from purchasing the size house they desire, and older households may remain in homes larger than they need. In light of these market imperfections, housing and tenure decisions depend not only on permanent income and the relative price of housing services, but also on such mortgage parameters as monthly payment patterns, down payment, and rate of equity accumulation. Models of the demand for housing and homeownership described in the existing literature do not include these parameters of mortgage finance. Mortgage terms are important factors in housing consumption and investment decisions. Because the standard mortgage no longer seems appropriate for all households under all economic conditions, the extent to which alternative mortgage instruments meet the requirements and preferences of different segments of the market becomes an important issue.     

Reverse Mortgages and the Liquidity of Housing Wealth

Housing wealth constitutes most of the non-pension wealth of the elderly population. This study analyzes the potential of reverse mortgages to increase the income and liquid wealth of the elderly by identifying households with relatively high levels of housing equity. Because this article looks at the whole distribution of elderly households and considers debt as well as income, it finds a larger potential market for reverse mortgages than previous studies.
Calculations from the 1990 Survey of Income and Program Participation and Census population estimates show that over six million homeowners in the United States could increase their effective monthly income by at least 20% by using a reverse mortgage. Of these, more than 1.3 million have no children. Furthermore, a reverse mortgage would allow over 1.4 million poor elderly persons to raise their incomes above the poverty line.     

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.     

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.     

Pricing Default Risk in Mortgages

This paper examines the valuation of fixed-rate mortgages and the pricing of insurance against default on such mortgages. Both the mortgage and the insurance are treated as compound European put options. A put is the right, but not the obligation, to turn over an asset to another party for a specified payment, and being a European put indicates that this can only occur at a specified expiration date. The mortgage contract, and hence the insurance on it, fit into a European option framework because no rational borrower would ever choose to default until a payment is due. Mortgages are compound options in nature because at each payment data prior to the last one, the borrower either defaults or purchases a new option to default at the next payment date by making the scheduled payment. Since the current value of the mortgage is affected by options to default in the future, the problem is solved working backwards in time with the value of later options feeding into the earlier ones, so that the process builds on itself in a recursive fashion. Using familiar arguments from option-pricing theory, the value of any of the assets in the model is expressed as the solution to a partial differential equation, where the terms of the contract yield the appropriate terminal conditions. Standard numerical procedures are then used to produce the value of the mortgage and the insurance under various economic conditions. The simulations indicate that the prime determinants of the value of the assets considered are the volatility of the house price and the volatility of the spot interest rate. Sensitivity tests show that changing either of these parameters affects the results substantially more than any of the other parameters examined. The paper completely analyzes the default option and insurance against default on the mortgage. It is one part of a complete model of fixed-rate mortgages that would allow for both prepayment and default and treat the interaction of the two options. The general approach outlined in this paper can be used to develop such a model as well as to value any mortgage-related security. In light of the increasing variety and the complexity of such instruments in the market today, the presentation of our approach to these valuation problems is perhaps the most important contribution of the paper.     

Migration and child development during the food price crisis in El Salvador

Migration is often used as parts of both ex post and ex ante strategies to mitigate risks to household incomes. There is little empirical evidence, however, of the way that migration actually helps households in times of shocks. In this paper, I describe how the peak of the worldwide food price crisis affected anthropometric statistics among young children in El Salvador, and how households with access to international migrants were not affected as negatively as households without such access. In 2008, El Salvador experienced food price inflation of 15%, and the evaluation of Red Solidaria, El Salvador’s conditional cash transfer program, shows that height-for-age (HAZ) Z scores among children under 3 years old declined by 0.2 standard deviations on average. In this paper, I use the Red Solidaria evaluation data to assess whether children in households with access to remittances or international migrants were better off than households without access to migration income. Using both repeated cross-sectional data and individual panel data, I find that as theory would expect, children in households with access to international migrants have much lower declines in their HAZ scores.     

The Postforeclosure Experience of U.S. Households

Despite the recent flood of foreclosures on residential mortgages, little is known about what happens to borrowers’ households after their mortgages have been foreclosed. We study the postforeclosure experience of U.S. households using a unique data set based on the credit reports of a large panel of individuals from 1999 to 2010. Although foreclosure considerably raises the probability of moving, the majority of postforeclosure migrants do not end up in substantially less desirable neighborhoods or more crowded living conditions. These results suggest that, on average, foreclosure does not impose an economic burden large enough to severely reduce housing consumption.     

中国养老保险最优缴费率的实证分析——基于贴现因子和劳动增长率差异的分析

从个人效用和社会福利最大化的角度出发,养老保险制度存在着最优的缴费率。最优缴费率与资本产出弹性α、未来效用的贴现因子ρ、人口增长率n、有效劳动增长率g、个人工资与社会平均工资的比例λ等参数有关。结合中国现实,在其他参数不变的前提下,依据贴现因子和劳动增长率的变动能够形成四组组合模式。模拟结论表明,现行养老保险制度的社会统筹缴费率是符合福利最大化的最优缴费率;现行养老保险制度的个人账户缴费率与实现福利最大化的最优个人账户缴费率相比是偏低的;缴费期的长短与最优社会统筹缴费率的高低成正比而与最优个人账户缴费率的高低成反比;有效劳动增长率的高低与最优社会统筹缴费率成正比而与最优个人账户缴费率成反比。     

Simulations of Savings Associations Using Alternative Mortgage Instruments

This paper reports on the development and use of a deterministic, accounting identity, simulation computer model of a federally chartered savings and loan association to observe the effect upon earnings and net worth growth, over the 1964 to 1974 period, of the use of various alternative mortgage instruments. Experiments were conducted on several kinds of variable rate mortgages, graduated payment mortgages, and price level adjusted mortgages; various interest reference rates were tested along with alternative systems of constraining VRM changes, alternative graduation rates, and various systems for paying interest to savers.     

The Government‐Sponsored Enterprises and the Mortgage Crisis: The Role of the Affordable Housing Goals

I use regression discontinuity analysis to measure the effect of one of the Affordable Housing Goals, the Underserved Areas Goal (UAG), on the number of whole single‐family mortgages purchased by Fannie Mae and Freddie Mac (GSEs) in undeserved census tracts for 1996–2002. Focusing additionally on tracts that became UAG‐eligible in 2005–2006, I measure the effect of the UAG during peak years for the subprime market. The results suggest a small UAG effect and challenge the view that the goals caused the GSEs to supply substantially more credit to high‐risk borrowers than they otherwise would have supplied during the subprime boom.     

Fixed-to-mobile substitution in the European Union

This paper analyzes substitution between access to fixed-line and mobile telephony in the European Union using cross-section panel data on households’ choices of telecommunications technologies in years 2005–2010. We estimate a structural model of household?s demand for access to: (i) fixed-line only; (ii) mobile only; and (iii) both fixed-line and mobile. We find that growing Internet usage increases the share of ‘fixed + mobile’ households, which suggests that households keep their fixed-line connection to access Internet. However, the spread of 3G and cable broadband access decreases the share of ‘fixed + mobile’ households and increases the share of ‘mobile only’ households. Hence, fixed-to-mobile substitution was slowed down by the spread of Internet but it may continue with the spread of mobile broadband. Furthermore, bundling of telecommunications services increases the share of ‘fixed + mobile’ households and decreases the shares of ‘mobile only’ and ‘fixed only’ households. Therefore, operators which can bundle fixed-line connection with Internet or mobile services may slow down fixed-to-mobile substitution.     

A review of: “FORTY CENTURIES OF WAGE AND PRICE CONTROLS: HOW NOT TO FIGHT INFLATION” by R. L. Schuettinger and E. F. Buttler,Caroline House,Ottawa, Illinois, 1979, 184 pagea,list $9.95.

We show that when a project is financed with amortized debt, traditional capital budgeting procedures may lead to biased net present values. A model is presented, based on the seminal work of Modigliani-Miller, which allows the net present value of a project to be determined by a weighted average cost of capital that varies with the amortization process.

The implications are substantial for financing arrangements such as long term loans, sinking fund debt, leasing, real estate financed by mortgages, and discount debt obligations.     

Potential Beneficiaries from Reverse Mortgage Products for Elderly Homeowners: An Analysis of American Housing Survey Data

A variety of reverse mortgage loan programs have been available to elderly households for over a decade. The number of unrestricted reverse mortgage loans issued by the private sector has been quite small. About 12,000 loans have been issued through mid-1992. Some researchers take this to mean that the size of the potential market for reverse mortgages is also quite small. Other researchers claim that current low levels of activity reflect supply and demand problems, but that the potential market is in fact quite large. This paper uses American Housing Survey (AHS) data to estimate the potential size of the market for unrestricted reverse mortgages. The 1989 national AHS shows that there are over twelve million elderly homeowners (age 62 and over) who own their homes free and clear. Depending on their income, age and the level of home equity, the group of households most likely to benefit from reverse annuity mortgages is considerably smaller. As one approach to defining a lower bound of the estimate of potential beneficiaries from reverse mortgages, we count the number of homeowners in a prime group consisting of the older elderly, aged 70 or above, with an annual income of $30,000 or less, with home equity between $100,000 and $200,000, who have lived in their homes for over ten years. We estimate that there are about 800,000 elderly households in this prime group. For such households, reverse mortgage payments could represent a substantial percentage increase in income; other definitions of target groups can also be explored using the tables provided. The paper uses the 1985 through 1988 AHS Standard Metropolitan Statistical Area (SMSA) surveys to identify areas that have a large number of elderly homeowners in the prime target group, and in which these homeowners represent a large fraction of the elderly homeowner population. These locations are likely targets for introduction of reverse mortgage products because any campaign can be targeted towards a high concentration of likely eligible beneficiaries.     

The HAMP NPV Model: Development and Early Performance

The foreclosure crisis that began in 2008 triggered the need for new approaches to treat distressed mortgages. A key component of the Obama Administration's Home Affordable Modification Program (HAMP) was the development of a standardized Net Present Value (NPV) Model to identify troubled loans that were value‐enhancing candidates for payment‐reducing modifications. This article discusses the development of the HAMP NPV Model, 1 its purpose and some important constraints that dictated its structure and limitations. We describe the structure and the estimation of the model in detail. We also describe the responsiveness of the model to key characteristics, such as loan‐to‐value and credit score, as well as provide new evidence on the relationship between HAMP modification performance and key borrower and modification characteristics. The article concludes with a discussion of model limitations and the future role of systematic loan modification using NPV analysis.