TY - JOUR
T1 - Decrease of capital guarantees in life insurance products
T2 - Can reinsurance stop it?
AU - Escobar-Anel, Marcos
AU - Havrylenko, Yevhen
AU - Kschonnek, Michel
AU - Zagst, Rudi
N1 - Publisher Copyright:
© 2022 Elsevier B.V.
PY - 2022/7
Y1 - 2022/7
N2 - We analyze the potential of reinsurance for reversing the current trend of decreasing capital guarantees in life insurance products. Providing an insurer with an opportunity to shift part of the financial risk to a reinsurer, we solve the insurer's dynamic investment-reinsurance optimization problem under simultaneous Value-at-Risk and no-short-selling constraints. We introduce the concept of guarantee-equivalent utility gain and use it to compare life insurance products with and without reinsurance. Our numerical studies indicate that the optimally managed reinsurance allows the insurer to offer significantly higher capital guarantees to clients without any loss in the insurer's expected utility. The longer the investment horizon and the less risk-averse the insurer, the more prominent the reinsurance benefit.
AB - We analyze the potential of reinsurance for reversing the current trend of decreasing capital guarantees in life insurance products. Providing an insurer with an opportunity to shift part of the financial risk to a reinsurer, we solve the insurer's dynamic investment-reinsurance optimization problem under simultaneous Value-at-Risk and no-short-selling constraints. We introduce the concept of guarantee-equivalent utility gain and use it to compare life insurance products with and without reinsurance. Our numerical studies indicate that the optimally managed reinsurance allows the insurer to offer significantly higher capital guarantees to clients without any loss in the insurer's expected utility. The longer the investment horizon and the less risk-averse the insurer, the more prominent the reinsurance benefit.
KW - Allocation constraint
KW - Insurance
KW - Portfolio optimization
KW - Reinsurance
KW - Value-at-risk
UR - http://www.scopus.com/inward/record.url?scp=85127063236&partnerID=8YFLogxK
U2 - 10.1016/j.insmatheco.2022.03.009
DO - 10.1016/j.insmatheco.2022.03.009
M3 - Article
AN - SCOPUS:85127063236
SN - 0167-6687
VL - 105
SP - 14
EP - 40
JO - Insurance: Mathematics and Economics
JF - Insurance: Mathematics and Economics
ER -