The “Rent-To-Own” mortgage and prepayment risk

The most important risk factor in the mortgage and mortgage-backed security market has been prepayment risk. Various innovations have arisen to deal with it but none hedge it fully. The Rent-To-Own (RTO) mortgage discussed here is a mortgage instrument that reduces or even reverses prepayment risk. It does so by creating an incentive structure within the framework of the mortgage contract that penalizes prepayment when interest rates are low and rewards it when interest rates are high. This is the opposite of standard mortgages. The RTO incentive structure is based on a unique buyout feature. Borrowers who want to buy out the financial interest of the lender may do so whenever they want, but the buyout price is a negative function of the market interest rates prevailing currently, that is, at the time of the buyout. Hence the lower these rates, the higher the buyout price. Other advantages of the RTO mortgage are also described.     

Interest-only and principal-only mortgage strips as interest-rate contingent claims

Interest-only (IO) and principal-only (PO) mortgage strips are valued in a stochastic interest-rate environment. The prepayment rate of the underlying mortgages is affected by two considerations not present in the pure financially rational model: (1) The property owner's holding period is assumed to follow a Gamma distribution, resulting in the possibility of prepayment due to the sale of the property (i.e., prepayment that is too early based on market interest rates); and (2) borrowers are assumed to face heterogeneous transaction costs related to refinancing the existing mortgage, and delay refinancing when market conditions make it optimal to do so (refinancing too late). Properties of IO/PO strips are identified by the finite difference method.     

The Effect of Mortgage Price and Default Risk on Mortgage Spreads

Variations over time in mortgage yield spreads should reflect changes in the underlying prepayment option value; moreover, the relationship between mortgage yield spreads and interest rate dynamics should weaken as the value of the borrowers prepayment option declines. We verify this hypothesis through an empirical analysis of residential mortgage yield spread behavior, and we also present evidence that the strength of the relationship between mortgage spreads and interest rate dynamics weakens (strengthens) as the level of default risk increases (decreases). This result is consistent with the competing risks effect between a borrowers option to prepay or default. Our results demonstrate the importance of accounting for mortgage price discount to par as well as default risk when developing time series of mortgage yields.     

Time series models of mortgage choice: Evidence of lender influence

Unit root, co-integration, and Granger Causality are used to test specification of a generalized time series model of mortgage choice. Unit root tests determine that both the fixed-adjustable spread (FAsp) and the proportion of ARM originations (AP) are first difference stationary. The cointegrating vector between FAsp and AP was found to be weak, raising questions regarding their long-term relationship. Causality tests determined that ARM originations Granger causes the fixed-adjustable mortgage spread (APFAsp) rather than FAspAP. This result suggests that mortgage originators adjust the current FAsp spread based on last periods allocation. The coefficient vector for this specification was unstable and became increasingly negative during the 1980s.     

The impact of settlement period on sales price

This study is an empirical investigation of the impact of settlement period on sales price while controlling for marketing period and standard explanatory variables. The hypothesized positive relationship between settlement period and sales price is confirmed by the results of this study. The estimated coefficient on settlement period is 0.0008 meaning that our market, on average, exacts a premium of 0.08 percent per day of settlement period beyond a norm of 60 days. The estimated coefficient on marketing period (a control variable) is –0.0003 meaning that our market, on average, requires a discount of 0.03 percent per day of marketing period. Our findings show the relative importance of settlement period in making real estate pricing decisions.     

Company Tax Structure and Company Tax Incidence

This paper reviews conflicting theories of company tax incidence impliedby the alternative new and traditional views of dividends andexamines their contrasting policy implications. Whereas, under thetraditional view, closer integration of the corporate and personalincome tax systems is suggested, an alternative policy orientationemphasizing the non-distorting features of the classical system is impliedby the new view. Even if the traditional view is accepted, theimplications for design and reform of the company tax vary widely underalternative specifications of domestic and international tax policy objectives. Schedular alternatives to global income taxation are alsoconsidered.     

Commercial Mortgage Default: A Comparison of Logit with Radial Basis Function Networks

This article explores the use of artificial neural networks in the modeling of foreclosure of commercial mortgages. The study employs a large set of individual loan histories previously used in the literature of proportional hazard models on loan default. Radial basis function networks are trained (estimated) using the same input variables as those used in the logistic. The objective is to demonstrate the use of networks in forecasting mortgage default and to compare their performance with that of the logistic benchmark in terms of prediction accuracy. Neural networks are shown to be superior to the logistic in terms of discriminating between good and bad loans. The study performs sensitivity analysis on the average loan and offers suggestions on further improving prediction of defaulting loans.     

Optimal Consumption Taxes and Social Security Under Tax Measurement Problems and Uncertainty

A representative individual lives for two periods; works when young and depends on savings and a government operated social security system when old—the returns on both sources of income, when old, are random. Due to administrative problems the returns to savings are observed with some measurement error. Two alternative consumption tax systems are considered; the Registered Asset Treatment (RAT) and the Non-Registered Asset Treatment (NRAT). The advantage of the RAT is that it can perform a social insurance role while the disadvantage is that it imposes measurement error risk. Correlation between the random return on saving and its measurement error can provide a risk-hedging role that can be further strengthened by the RAT version. The NRAT version neither provides social insurance nor imposes measurement error risk. Both tax systems hedge against the uncertainties in the social security system. The taxpayer engages in precautionary saving in response to future uncertainty.     

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.     

On the Economics of Subprime Lending

US mortgage markets have evolved radically in recent years. An important part of the change has been the rise of the subprime market, characterized by loans with high default rates, dominance by specialized subprime lenders rather than full-service lenders, and little coverage by the secondary mortgage market. In this paper, we examine these and other stylized facts with standard tools used by financial economists to describe market structure in other contexts. We use three models to examine market structure: an option-based approach to mortgage pricing in which we argue that subprime options are different from prime options, causing different contracts and prices; and two models based on asymmetric information–one with asymmetry between borrowers and lenders, and one with the asymmetry between lenders and the secondary market. In both of the asymmetric-information models, investors set up incentives for borrowers or loan sellers to reveal information, primarily through costs of rejection.     

A General Theorem on the Comparative Statics of Changes in Risk

In this paper, the concept of absolutely riskier than is introduced to generalize Gollier's (Journal of Economic Theory, 66, 522–535) necessary and sufficient conditions for the comparative statics of a change in risk for risk averters. The restrictive assumption that the payoff function is monotonic in the risk is relaxed. The policymaker's choice problem, the newsboy problem, and a farmer's example are used to illustrate how easily the monotonicity assumption is violated. Finally, some important properties of the concept of absolutely riskier than, such as its relation with the concept of second-order stochastic dominance, are illustrated using the farmer's example.     

The pricing of FIREARMs (“Falling Interest Rate Adjustable-Rate Mortgages”)

The purpose of this article is to propose and price a new type of adjustable-rate mortgage: the FIREARM (Falling Interest Rate Adjustable-Rate Mortgage). The interest payments on this mortgage adjust downward whenever interest rates decline, while remaining stable when interest rates increase. The FIREARM is alternatively priced as a prepayable and non-prepayable mortgage with a spread over the short-term interest rate. We price these two instruments and contrast their prices with those of fixed-rate mortgages using the parsimonious assumptions of a non-stationary arbitrage-free binomial term structure model.     

“Investor sentiment” and the closed-end fund puzzle: A 7 percent solution

Lee, Shleifer, and Thaler (1991) argue that the irrational noise trader model of DeLong, Shleifer, Summers, and Waldmann (1990) ... is consistent with the published evidence on closed-end fund prices. ... However, Lee, Shleifer, and Thaler provide no indication of how much of the variability of a closed-end fund's discounts and premiums is due to such investor sentiment. Using the signal extraction technique of French and Roll (1986) to measure noise, this article estimates that on average only 7 percent of the variance of a standardized measure of weekly changes in discounts and premiums can be attributed to noise-trading activity. Investor sentiment, therefore, seems to account for very little of a closed-end fund's discount and premium variability over time.     

Cointegration and causal relations in mortgage and capital markets

In years past, credit rationing resulted in the primary mortgage market being segmented from national capital markets. Some research suggests that the deregulation of depository institutions in the early 1980s along with the exponential growth in the secondary mortgage market, has resulted in a primary mortgage market more fully integrated with national capital markets. This study employs Granger Causality to test primary and secondary mortgage market segmentation. Our findings support the conclusion that causality is unidirectional from the treasury market to the primary and secondary mortgage market. The results also indicate that mortgage market speed of adjustment increased significantly by the end of the decade.     

Government Deposit Insurance and the Diamond-Dybvig Model

The apparent banking market failure modeled by Diamond and Dybvig [1983] rests on their inconsistently applying their sequential servicing constraint to private banks but not to their government deposit insurance agency. Without this inconsistency, banks can provide optimal risk-sharing without tax-based deposit insurance, even when the number of type 1 agents is stochastic, by employing a contingent bonus contract. The threat of disintermediation noted by Jacklin [1987] in the nonstochastic case is still present but can be blocked by contractual trading restrictions. This article complements Wallace [1988], who considers an alternative resolution of this inconsistency.     

Contracts for the sale of residential real estate

I propose a model where the terms of a real estate broker's contract influence both the broker's and theseller's choices. Given equal contract, higher quality, and thus higher priced on average, houses will sell in less time. Thus, simple conditions suffice to show that a competitively set commission rate should fall as the average price rises and, since a seller's cost of waiting are higher for higher quality houses, a cartel's commission rate should rise with the average price. Because this model studies the effects of alternate contracts on observable variables such as the price of a house and its time-till-sale, its implications are testable.     

The Value of the Rent Control Option

In this paper, we combine direct arbitrage arguments and an option-pricing approach to develop a method of pricing the option for rent control. For a lump-sum payment of key money, a tenant acquires the right to rent a real estate unit for an exogenously determined controlled rent, as opposed to paying the free-market rent. The tenant may continue exercising this right as long as he or she lives. Alternatively, the tenant may sell the right to occupy the controlled rent unit and receive a fraction of the key money paid by the subsequent tenant. We value the equilibrium key money, in a representative agents partial equilibrium, while endogenously determining the expected tenure duration in a controlled rent unit. We propose a procedure for valuing rent control options different from the representative agents. Our analysis shows that under real-world levels of conditional life expectancy, the level of the fraction of the key money retained by a departing tenant has an insignificant effect on the expected tenure duration in a controlled rent unit and on the level of key money.     

Conduit Entities: Implications of Indirect Tax-Efficient Financing Structures for Real Investment

As well known, companies shift income from high to low tax jurisdictions. Typically, profit shifting is achieved by direct financing structures whereby companies use debt finance in the high tax entity and equity finance in the low tax entity. However, certain tax policies can lead to indirect financing structures whereby a conduit entity provides an opportunity to achieve at least two deductions for interest expenses for an investment made in the host country. The effect of direct and indirect financing structures on real investment is compared.     

Bank lending ‘manias’ in theory and history

A popular view of banking crises sees them as consequences of prior bank lending manias. Such manias are supposed to be especially likely in legally unrestricted banking systems, where banks can issue notes and are not subject to statutory reserve requirements. Here it is argued that the bank lending mania hypothesis (1) exaggerates the role of subjective factors, including bankers' confidence or optimism, as a stimulus to bank lending, and (2) is not supported by evidence from past, legally unrestricted banking systems.     

A New Approach to Group Structure, Burden Sharing, and the Equilibrium Provision of Public Goods

In the received model of the voluntary provision of a pure public good, the usual practice is to proceed from assumptions about the group characteristics to inferences about an implied outcome. The approach advocated in this paper reverses the traditional direction. Assuming a Nash equilibrium, we ask how to characterize the diverse set of group characteristics which will support it. Approaching the problem from this angle we define three crucial characteristics of a group-equilibrium: consumer's free rider inducing supply, zero contribution-inducing wealth and voluntary surplus tribute which is the amount by which a person's actual income exceeds his/her zero-contribution inducing wealth. Defining these indicators we show how they form the foundation of a complete mapping between the distribution of individual characteristics of a group, and equilibrium public good supply. Certain questions such as the interaction between size of the group and heterogeneity of incomes and tastes not yet adequately addressed are shown to yield easily to this approach.