Option Pricing with Given Risk Constraints and Its Application to Life Insurance Contracts

This paper presents a method for hedging in markets of two-factor diffusion and jump diffusion models under the restriction of a specified probability of success. In addition, a method for hedging with a given shortfall amount is developed. A maximal perfect hedging set is constructed for options in...

詳細記述

書誌詳細
出版年:AppliedMath
主要な著者: Betty Guo, Alexander Melnikov
フォーマット: 論文
言語:英語
出版事項: MDPI AG 2025-03-01
主題:
オンライン・アクセス:https://www.mdpi.com/2673-9909/5/1/25
その他の書誌記述
要約:This paper presents a method for hedging in markets of two-factor diffusion and jump diffusion models under the restriction of a specified probability of success. In addition, a method for hedging with a given shortfall amount is developed. A maximal perfect hedging set is constructed for options involving the exchange of one asset for another. The developed method is applied to the pricing of equity-linked life insurance contracts, such as “pure endowments with a guarantee”. Traditional pricing approaches for hedging options often yield minimal returns for investors. By accepting a predefined level of risk, investors can achieve higher returns. In light of this, this paper proposes risk management strategies applicable to these hybrid financial and insurance products.
ISSN:2673-9909