Pricing reverse mortgages in Spain

[EN] In Spain, as in other European countries, the continuous ageing of the population creates a need for long-term care services and their financing. However, in Spain the development of this kind of services is still embryonic. The aim of this article is to obtain a calculation method for reverse mortgages in Spain based on the fit and projection of dynamic tables for Spanish mortality, using the Lee and Carter model. Mortality and life expectancy for the next 20 years are predicted using the fitted model, and confidence intervals are obtained from the prediction errors of parameters for the mortality index of the model. The last part of the article illustrates an application of the results to calculate the reverse mortgage model promoted by the Spanish Instituto de Crédito Oficial (Spanish State Financial Agency), for which the authors have developed a computer application.The authors are indebted to Jose Garrido, whose suggestions improved the original manuscript, and to the anonymous referee for his/her valuable comments. This work was partially supported by grants from the MEyC (Ministerio de Educacio´n y Ciencia, Spain), projects MTM2010- 14961 and MTM2008-05152.Debón Aucejo, AM.; Montes, F.; Sala, R. (2013). Pricing reverse mortgages in Spain. European Actuarial Journal. 3:23-43. https://doi.org/10.1007/s13385-013-0071-yS23433Blay-Berrueta D (2007) Sistemas de cofinaciaciación de la dependencia: seguro privado frente a hipoteca inversa. Cuadernos de la Fundación, Fundación Mapfre Estudios, Madrid.Booth H (2006) Demographic forecasting: 1980 to 2005 in review. 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Contracts, Individual Revenue and Performance

Abstract: In some jobs individual workers have control over revenue, effort and productivity. These jobs include professional firms for law, medicine and consulting. They include personal services in areas from hair styling to taxi driving. The firm offers contracts that allow for a sharing of risks and rewards. These incentives include a split of output between the firm and worker and employee ownership. For U.S. real estate agents, a choice is available between splitting revenue with the firm or retaining 100 % above a fixed prepaid minimum. These are equity and sequential debt contracts. Under the sequential debt contract, effort increases but output per hour declines. Separately, agents increase effort and productivity if offered ownership in the firm, effectively a claim on others' performance

Home Equity, Household Savings and Consumption

Wealth, Marginal propensity to consume, Consumption, Housing, Home equity, Piggybank,

The Duration of Marketing Time of Residential Housing

The marketing of unique durable goods such as housing presents a good example for the application of search theory. An optimal stopping rule strategy is employed to model sellers' behavior. The primary hypothesis is that the greater the atypicality of a house, the greater the expected variance of offers. Because a maximizing seller will wish to entertain more offers the greater is the variance, the marketing time of atypical houses will be relatively longer than that of standard houses. Using a sample of resale houses, the empirical study uses a failure time model to confirm the hypothesis. Extensions are mentioned, including discussions of the role of the list price and the limitations of the standard hedonic regression approach when applied to housing. Copyright American Real Estate and Urban Economics Association.

Estimation of Depreciation for Single-Family Appraisals

Methods for the estimation of depreciation within the cost approach to appraisal of single-family residential property have been the focus of very few empirical studies. The purpose of this study is to generate empirical evidence related to one such method, specifically the age-life method. Within the context of a hedonic price model, functional form of the model and the design of the age variable are chosen so that we can test for alternative paths of depreciation with just one model. The alternative paths can be concave, convex or straight-line. Contrary to the evidence presented in several previous studies, the empirical evidence presented in this paper supports a path of depreciation for single-family houses that is concave (i.e., initially less rapid than straight-line). Of the standard paths of depreciation often suggested, the reverse sum of the years digits path most closely approximates the path indicated as appropriate by this study, particularly in the early years of the life of a house. If appraisers are looking for an approximation of the path of depreciation for single-family residences, it would appear that the reverse sum of the years digits path is much more appropriate than the straight-line path that is often assumed. Copyright American Real Estate and Urban Economics Association.