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Reverse Mortgage Schemes Financing Urban Dynamics Using the Multiple Decrement Approach

  • David Bogataj
  • Diego Ros McDonnell
  • Marija Bogataj
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 135)

Abstract

The objective of this chapter is to introduce flexible reverse mortgage contracts and to consider them in a multiple decrement model. Here, the multiple decrement approach is applied for the first time in housing and urban planning as a new tool for better forecasting of the housing market and housing needs of senior citizens with decreasing functional capacities and therefore changing housing needs on their lifetime horizon. The presented approach enables development of appropriate, more flexible equity release schemes (ERS) than the products known up to now. In the flexible reverse mortgage model developed here we assume that the homeowner can always sell her/his residential property and buy the new residential property for the amount which is of the same value as that of the first house, or lower. It enables better management of cash flows related to the portfolio of residential properties in the context of ERS—the reverse mortgage approach. The schemes are designed to allow elderly homeowners to convert the equity in their homes to income and to keep the possibility to sell their property and move to a more appropriate dwelling under the same contract, which was not the case up to now. Namely, in these newly presented ERS products, homeowners can also keep the mathematical reserves for longevity insurance, based on the initial contract, when they move and sell the initial residential property and buy a new one. They also keep their deferred lifetime annuities if they finally sell the residential property and move to long-term care in a retirement home. In this new approach, the reverse mortgage schemes/longevity insurance are not tied to the single property as it is the case in the existing reverse mortgage products, but rather to the life of the senior homeowner. In the numerical examples, different cash flows associated with different paths of a graph are presented demonstrating the advantages of the flexible reverse mortgage. We show that not only the transaction costs are lower but also that the set of possible choices is larger. According to population aging in Europe, where in 2060 one-third of the population will be more than 64 years old, it is important also for the local authorities and spatial planners to study elderly people’s housing needs in order to design a housing system suitable also for them, and therefore to adopt the housing stock to the desired housing consumption. The housing needs of senior citizens may be satisfied if the housing stock is specifically designed to meet their physical, emotional, recreational, medical, and social needs. Recognizing that urban space must be adapted to meet these objectives, the paper will examine the issues regarding the sustainable financing of senior citizens and their changing housing needs in particular.

Keywords

Reverse mortgage Multiple decrements Equity release scheme Longevity insurance Housing market Urban studies 

References

  1. 1.
    Costa-Font, J.: Housing-related well-being in older people: the impact of environmental and financial influences. Urban Stud. 50(4), 657–673 (2013)CrossRefGoogle Scholar
  2. 2.
    Debón, A., Montes, F., Sala, R.: Pricing reverse mortgages in Spain. Eur. Actuar. J. 3(1), 23–43 (2013)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Demirkan, H., Olguntuerk, N.: A priority-based ‘design for all’ approach to guide home designers for independent living. Archit. Sci. Rev. 57(2), 90–104 (2014)CrossRefGoogle Scholar
  4. 4.
    Deshmukh, S.: Multiple Decrement Models in Insurance, An Introduction Using R. Springer, India (2012)CrossRefzbMATHGoogle Scholar
  5. 5.
    Drobne, S., Bogataj, M.: ATTREG Case study of Slovenia: The accessibility and the flow of human resources between Slovenian regions at NUTS 3 and NUTS 5 levels: The Attractiveness of European region and cities for residents and visitors. ESPON, Ljubljana (2011)Google Scholar
  6. 6.
    Duca, J.V., Kumar, A.: Financial literacy and mortgage equity withdrawals. J. Urban Econ. 80, 62–75 (2014)CrossRefGoogle Scholar
  7. 7.
    Gerber, H.U.: Life Insurance Mathematics, 3rd edn. Springer, Berlin, Heidelberg (1997)CrossRefzbMATHGoogle Scholar
  8. 8.
    Hui, E.C.M., Wong, F.K.W., Chung, K.W., et al.: Housing affordability, preferences and expectations of elderly with government intervention. Habitat Int. 43, 11–21 (2014)CrossRefGoogle Scholar
  9. 9.
  10. 10.
    Kalache, A., Kickbusch, I.: A global strategy for healthy ageing. World Health 4, 4–5 (1997)Google Scholar
  11. 11.
    Kalache, A., Plouffe, L., et al.: Global age friendly cities Guide. WHO Press, Geneva (2007). Available via http://www.who.int/ageing/publications.
  12. 12.
    Promislow, S.D.: Fundamentals of Actuarial Mathematics, 3rd edn. Wiley, Chichester (2015)Google Scholar
  13. 13.
    Quigley, J.M.: Interest-rate variations, mortgage prepayments and household mobility. Rev. Econ. Stat. 69(4), 636–643 (1987)CrossRefGoogle Scholar
  14. 14.
    Quigley, J.M., Vanorder, R.: Explicit tests of contingent claims models of mortgage default. J. Real Estate Financ. Econ. 11(2), 99–117 ( 1995)CrossRefGoogle Scholar
  15. 15.
    Rohe, W., van Zandt, S., McCarthy, G.: The social benefits and cost of home ownership: a critical assessment of research. Working Paper No. LIHO-01.12, Joint Center for Housing Studies, Harvard University, Harvard (2001)Google Scholar
  16. 16.
    Ronald, R., Doling, J.: Testing home ownership as the cornerstone of welfare: lessons from East Asia for the West. Hous. Stud. 27(7), 940–961 (2012)CrossRefGoogle Scholar
  17. 17.
    Rossi, P. H., Weber, E.: The social benefits of home ownership: empirical evidence from national surveys. Housing Policy Debate. 7, 1–81 (1996)CrossRefGoogle Scholar
  18. 18.
    Salaj, A. T., Jancar, J., Brus, M. S., et al.: The Development of the Real Estate Investment Fund for the Purpose of Regional Development. Lex Localis-Journal Of Local Self-Government. 9(3), 265–281 (2011)Google Scholar
  19. 19.
    Skrovankova, L., Soltes, M.: The Actuarial Models For Critical Illness Insurance. E & M Ekonomie a Manag. 12(3), 69–76 (2009)Google Scholar
  20. 20.
    United Nations: World Urbanization Prospects. The 2014 Revision, Highlights (ST/ESA/SER.A/352). Department of Economic and Social Affairs, Population Division (2014)Google Scholar
  21. 21.
    Venti, S.F., Wise, D.A.: Moving and housing expenditure: transactions costs and disequilibrium. J. Public Econ. 23, 207–243 (1984)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • David Bogataj
    • 1
  • Diego Ros McDonnell
    • 2
  • Marija Bogataj
    • 3
  1. 1.Evropska Pravna Fakulteta (The European Faculty of Law)Nova GoricaSlovenia
  2. 2.Universidad Politecnica de CartagenaCartagenaSpain
  3. 3.MEDIFAS, Vrtojba—Mejni prehod 6Sempeter pri GoriciSlovenia

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