Risk Measurement of Household Financial Plan
Abstract
When building a financial plan for a household, one usually needs to take many risk factors into account. These are the factors that have an influence on the shape of the future term structure of household incomes and expenditures. The factors may be of very differentiated nature, which means that their impact on the cash-flow term structure may be different both in terms of the underlying mechanism and strength. In this field of research, the existing literature does not provide, however, any proposals of integrated risk measurement. At the same time, the ability to measure risk of household financial plans in an integrated way would be very useful, as it would allow to select or compare plans with respect to the joint risk of a plan (to be more precise – the joint risk that the plan will fail to be successfully realized). The aim of this article is to propose a method or methods that would allow to measure financial plan risk in an integrated way. The integration should include different risk types, all financial goals that have been set by the household, all sources of financing and all sub-periods of the long-term life-cycle period of household financial planning. The approach, originally proposed by the authors of this article, may not only facilitate comparison of financial plans with respect to risk, but it may be also serve as a plan-acceptance decision-making instrument. Integrated risk measures may be also used within the very optimization procedure. They may be parts of the boundary conditions or even be embedded into the optimization function itself.
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Artzner P., Delbaen F., Eber J.-M., Heath D., Coherent measures of risk, “Mathematical Finance” 1999, Vol. 9(3), DOI: https://doi.org/10.1111/1467-9965.00068.
Bodie Z., Detemple J.B., Otruba S., Walter S., Optimal consumption–portfolio choices and retirement planning, “Journal of Economic Dynamics and Control” 2004, Vol. 28(6), DOI: https://doi.org/10.1016/S0165-1889(03)00068-X.
Brown J.R., Poterba J.M., Joint life annuities and annuity demand by married couples, “Journal of Risk and Insurance” 2000, Vol. 67(4), DOI: https://doi.org/10.2307/253849.
Föllmer H., Schied A., Convex measures of risk and trading constraints, “Finance and Stochastics” 2002, Vol. 6(4), DOI: https://doi.org/10.1007/s007800200072.
Geyer A., Hanke M., Weissensteiner A., Life-cycle asset allocation and consumption using stochastic linear programming, “Journal of Computational Finance” 2009, Vol. 12(4).
Hurd M.D., Mortality Risk and Consumption by Couples, Working Paper, 1999, www.nber.org/papers/w7048.pdf [dostęp: 10.12.2018].
Jajuga K., Feldman Ł., Pietrzyk R., Rokita P., Integrated Risk Model in Household Life Cycle, Publishing House of Wrocław University of Economics, Wrocław 2015.
Kotlikoff l.J., Spivak A., The family as an incomplete annuities market, “Journal of Political Economy” 1981, Vol. 89(2), DOI: https://doi.org/10.1086/260970.
Markowitz H., Portfolio Selection: Effiient Diversifiation of Investments, John Wiley & Sons, Inc.,London 1959.
Merton R.C., Optimum consumption and portfolio rules in a continuous-time model, “Journal of Economic Theory” 1971, Vol. 3(4), DOI: https://doi.org/10.1016/0022-0531(71)90038-X.
Mitchell O.S., Bodie Z., Hammond B.P., Zeldes S. (eds.), Innovations in Retirement Financing, University of Pennsylvania Press, Philadelphia 2002.
Pietrzyk R., Rokita P., A decent measure of risk for a household life-long fiancial plan – postulates and properties, [w:] 3 4th International Conference Mathematical Methods in Economics. Conference Proceedings, Technical University of liberec, liberec 2016a.
Pietrzyk R., Rokita P., Facilitating Household Financial Plan Optimization by Adjusting Time Range of Analysis to Life-Length Risk Aversion, [w:] A. Wilhelm, H.A. Kestler (eds.), Analysis of Large and Complex Data, Studies in Classifiation, Data Analysis, and Knowledge Organization, Springer International Publishing, Cham 2016b.
Pietrzyk R., Rokita P., On a concept of household fiancial plan optimization model, “Research Papers of Wrocław University of Economics” 2015a, No. 381.
Pietrzyk R., Rokita P., Stochastic goals in household fiancial planning for a two-person household, “Statistics in Transition. New Series” 2015b, Vol. 16(1).
Richard S.F., Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model, “Journal of Financial Economics” 1975, No. 2.
Scholz J.K., Seshadri A., Health and Wealth In a Lifecycle Model, 2010, www.chicagofed.org/~/media/others/research/research-calendar-attachments/seminars2010/sem-scholz051710-pdf.pdf [dostęp: 10.12.2018].
Yaari M.E., Uncertain lifetime, life insurance, and the theory of the consumer, “Review of Economic Studies” 1965, Vol. 32(2), DOI: https://doi.org/10.2307/2296058.
DOI: http://dx.doi.org/10.17951/h.2018.52.4.59-71
Date of publication: 2019-02-19 12:20:44
Date of submission: 2018-05-17 23:15:15
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