학술논문

Optimal investment-disinvestment choices in health-dependent variable annuity.
Document Type
Journal
Author
D'Amico, Guglielmo (I-DAN2-EC) AMS Author Profile; Singh, Shakti (6-IITD) AMS Author Profile; Selvamuthu, Dharmaraja (6-IITD) AMS Author Profile
Source
Insurance: Mathematics \& Economics (Insurance Math. Econom.) (20240101), 117, 1-15. ISSN: 0167-6687 (print).eISSN: 1873-5959.
Subject
91 Game theory, economics, social and behavioral sciences -- 91G Mathematical finance
  91G10 Portfolio theory
Language
English
Abstract
Summary: ``This paper exploits the influence of the policyholder's health status on the optimal time at which the policyholder decides to stop paying health-dependent premiums and starts withdrawing health-dependent benefits from a variable annuity (VA) contract accompanied by a guaranteed lifelong withdrawal benefit (GLWB). A mixed continuous-discrete time model is developed to find the optimal time for withdrawal regime initiation. The model determines the investment and disinvestment triggers according to the market conditions for both dynamic and static cases. In the static case, the optimal time is computed at the policy's inception time. In contrast, in the dynamic case, the optimal initiation time is achieved by recursive calculation of the exercise frontier of a real deferral option. Another finding is the sensitivity analysis of the contract concerning the insurance fee and the age of the policyholder.''