Use of two valuation functions in financial and actuarial transactions

• Autorzy: Rambaud S. C. , Valls M. C.
• Języki publikacji: EN

Abstrakty

EN

Usually a financial transaction is being considered with a single valuation function, but sometimes, and depending on the economic context, it is necessary to use one function to value the set of incoming payments and another to assess the set of outgoing payments. This paper, therefore, sets out to demonstrate that those financial transactions which use two valuation (capitalization or discount) functions can be treated in the same way as those valued with a single valuation function in which some incoming or outgoing payments are random. Our methodology is applied to determine the periodic amounts necessary to reach a target capital at a certain point in the future time in two situations, namely when the withdrawal of the capital depends on the investor’s survival, and when the receipt of the capital (by the investor or his/her beneficiaries) is assured.

Słowa kluczowe

EN

financial transaction; balance; periodic amounts; survival; target capital

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2016
• Tom: Vol. 45, no. 1
• Strony: 111--124
• Opis fizyczny: Bibliogr. 19 poz., rys., tab.

Twórcy

autor

Rambaud S. C.

• Universidad de Almer´ıa, Departamento de Econom´ıa y Empresa La Can˜ada de San Urbano, s/n - 04120 Almer´ıa (Spain)

autor

Valls M. C.

• Universidad de Almer´ıa, Departamento de Econom´ıa y Empresa La Can˜ada de San Urbano, s/n - 04120 Almer´ıa (Spain)

Bibliografia

• [1] Ayres, F. (1963) Mathematics of Finance. McGraw-Hill, New York
• [2] Bawa, Vijay S. (1975) Optimal rules for ordering uncertain prospects. Journal of Financial Economics, 2, 95-121.
• [3] Bodie, Z., Kane, A. and Marcus, A.J. (2004) Essentials of Investments. 5th Edition. McGraw-Hill/Irwin, New York.
• [4] Brealey, R.A., Myers, S.C. and Allen, F. (2006) Principles of Corporate Finance. 8th Edition. McGraw-Hill/Irwin, New York.
• [5] Brigham, E.F. and Daves, P.R. (2007) Intermediate Financial Management. Ninth Edition. Thomson/South-Western, Thomson, OH.
• [6] Cruz Rambaud, S. and Mu˜noz Torrecillas, M.J. (2005) Some considerations on the social discount rate. Environmental Science and Policy, 8, 343-355.
• [7] Cruz Rambaud, S. and Valls Mart´ınez, M.C. (2002) Increasing spot rates of interest. Structure of the price of a default free discount bond. International Journal of Theoretical and Applied Finance, 5(3), 321-332.
• [8] Cruz Rambaud, S. and Valls Mart´ınez, M.C. (2008) Introducci´on a las Matem´aticas Financieras. Ediciones Piramide, S.A., Madrid.
• [9] Cruz Rambaud, S. and Gonz´alez S´anchez, J. (2013) Control in loan transactions: adjusting the payments to the real inflation rates. Control and Cybernetics, 42(4), 829-853.
• [10] De Pablo L´opez, A. (1998) Some factors for the correction of the inflation effect in financial transactions. Proc. of the First Spanish-Italian Meeting on Financial Mathematics. Servicio de Publicaciones de la Universidad de Almer´ıa, 29-40.
• [11] De Pablo L´opez, A. (2000) Matem´atica de las Operaciones Financieras, Tomos I y II. Universidad Nacional de Educaci´on a Distancia (UNED), Madrid.
• [12] Dhaene, J., Goovaerts, M., Vanmaele, M. and Van Weert, K. (2012) Convex order approximations in the case of cash flows of mixed signs. Insurance: Mathematics and Economics, 51, 249-256.
• [13] Ferruz Agudo, L. (1994) Operaciones Financieras. Descripci´on, an´alisis y valoraci´on.
• [14] Ed. Ariel, S.A., Barcelona. Gerber, H.U. (1997) Life Insurance Mathematics. Third Edition. Springer, Berlin.
• [15] Gil Luezas, M.A. and Gil Pel´aez, L. (1987) Matem´aticas de las Operaciones Financieras. Universidad Nacional de Educaci´on a Distancia, Madrid.
• [16] Gil Pel´aez, L. (1992) Matem´atica de las Operaciones Financieras. Editorial AC, Madrid.
• [17] L´opez Pascual, J. and Sebasti´an Gonz´alez, A. (2008) Gesti´on Bancaria: Factores Claves en un Entorno Competitivo. McGraw-Hill, Madrid.
• [18] Su´arez Su´arez, A.S. (1991) Decisiones ´Optimas de Inversi´on y Financiaci´on en la Empresa. Ediciones Pir´amide, S.A., Madrid.
• [19] Valls Mart´ınez, M.C. and Cruz Rambaud, S. (2013) Operaciones Financieras Avanzadas. Ediciones Pir´amide, S.A., Madrid.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.