MODEL OF MANAGING MATHEMATICAL RESERVE OF LIFE INSURANCE
Keywords:
life insurance, mathematical reserve, managing mathematical reserve, portfolio of investment, model of optimisation investmentAbstract
Life insurance is a mutual guarantee of a large number of people with the same danger where the danger is random and can be measured and evaluated. The guarantee is represented by establishing the fund which is formed by money deposits made by endangered individuals who by doing that become members of the community of life insurance risk. These funds are used only to pay off the arranged amount to the member of the community when the insured accident occurs. A part of the financial means of the fund includes a mathematical reserve which serves as a collateral of future risks. These means are temporarily free means and are managed by the insurance company. The task of the insurance company is to keep the real value of the mathematical reserve as well as to increase its value. Therefore, the insurance company invests them, till the moment when these resources need to be used as collateral for the risk, in order to gain additional income. In order to achieve an efficient and economically efficient investment of the mathematical reserve, the original model has been designed. Designed and written model and its solution are the contribution of this paper. The key to the model provides a structure of the portfolio for investment of the mathematical reserve which ensures the required income from its investment with the minimum risk. Value added of the key to the model is the fact that it enables a post?optimal programming and simulation. This enabled a calculation of a sufficient number of investment portfolios? structures. Furthermore, this enabled a decision maker to use a high quality tool for managing risk of mathematical reserve investments as well as the overall risk of the life insurance.
References
Andrijanić, I.; Klasić, K. Tehnika osiguranja i reosiguranja. Zagreb: Ekonomski fakultet, 2002.
Andrijašević, S.; Petranović, V. Ekonomika osiguranja. Zagreb: ALFA, 1999.
Andrijašević, S.; Račić‐Žlibar, T. Riječnik osiguranja. Zagreb: Masmedija, 1997.
Andrijić, S. Matematička pričuva temeljna odrednica poslovanja osiguravajućeg društva.// Banke, br. 4. Sarajevo, 2001.
Benjamin, B.; Pollard, J. The Analysis of Mortality and Other Actuarial Statistics. Institute and faculty of Actuaries, 1997.
Bijelić, M. Osiguranje. Zagreb: Birotehnika, 1990.
Black, K.; Skipper, H. Life Insurance. 12 the ed. Prentice‐hall, Englewood cliffs, 1994.
Borch, K. The Matematical Theory of Insurance. Toronto; London: Lexington Books, 1974.
Carić, S. Bankarski poslovi i hartije od vrednosti. Beograd: Savremena administracija, 1998.
Chiang, A. C. Osnovne metode matematičke ekonomije. 3. izd. Zagreb: Mate, 1996.
Filipović, S.; Jirasek, V. Finansijska i aktuarska matematika. Sarajevo: Zavod za izdavanje udžbenika, 1972.
Foley, J. B. Tržišta kapitala. Zagreb: Mate, 1993.
Frančišković, I. Osiguranje u tržišnom gospodarstvu. Zagreb: Croatia osiguranje, 1992.
Gogala, Z. Neke značajke i postavke teorije selekcije portfolija. Zagreb: Financijska praksa, 1996.
Haberman S.; Booth, P.; Chadburn, R.; Cooper, R.; James, D. Modern Actuarial Theory and Practice. London: Champan & Hall, 1998.
Ivanović, I. Teorija verovatnoće. Beograd: Naučna knjiga, 1977.
Livingston, M. Mony & Capital Markets‐Financial Instruments & Their Uses. New York: Prentice Hall, Englewood Cliffs, 1990.
Krčmar, M. Finansijka matematika i metode investicionog odlučivanja. Sarajevo: Kemigrafika, 2002.
Markowitz, M.H. Portfolio selection. Oxford: Basil Blackwell Inc., 1991.
Markowitz, M.H. Mean‐Variance Analysis in Porfolio Choice and Capital Markets. Oxford: Basil Blackwell Inc., 1987.
Pešić, M. Ulaganje sredstava životnog osiguranja bitna sastavnica marketing miksa osiguravajućeg društva.// Ekonomski pregled, 7‐8/56, Zagreb, 2005.
Pojatina, D. Tržište kapitala. Split: Ekonomski fakultet, 2000.
Popović, M. S. Portfolio analiza. Podgorica: Ekonomski fakultet, 2000.
Prohaska, Z. Analiza vrijednosnih papira. Zagreb: Informator, 1996.
Sanjković, M. Matematika osiguranja života. Zagreb: Croatia osiguranje, 1974.
Vaughan, V. T.; Vaughan, T. Osnove osiguranja: upravljanje rizicima. Zagreb: Mate, 2000.
Vranić, V.; Martić, Lj. Matematika za ekonomiste. Zagreb: Školska knjiga, 1967.
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