Optimal control of continuous life insurance model

Autor: Viktor Oliynyk, Fedir Zhuravka, Tetiana Bolgar, Olha Yevtushenko
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Investment Management & Financial Innovations, Vol 14, Iss 4, Pp 21-29 (2017)
Druh dokumentu: article
ISSN: 1810-4967
1812-9358
DOI: 10.21511/imfi.14(4).2017.03
Popis: The problems of mixed life insurance and insurance in the case of death are considered in the article. The actuarial present value of life insurance is found by solving a system of differential equations. The cases of both constant effective interest rates and variables, depending on the time interval, are examined. The authors used the Pontryagin maximum principle method as the most efficient one, in order to solve the problem of optimal control of the mixed life insurance value. The variable effective interest rate is considered as the control parameter. Some numerical results were given.
Databáze: Directory of Open Access Journals