In this article, we discuss the determination of the optimal capital level under the consideration of systemic risk. We establish several models for calculating optimal capital level in different conditions including without constraint, with constraints of the value of systemic risk (STVaR) and...

In this paper, we extend Kliger and Levikson's approach for pricing insurance contracts by considering the influence of capital held by an insurance firm on the price of insurance contracts, and we determine how to arrive at the optimal price, number of policies and capital level of the...

In this paper, we discuss how to determine the optimal investment portfolio and reinsurance strategy of insurance company based on zero-sum stochastic differential game between the market and the insurer. We extend Zhang and Siu (2009)’s model by (1) including a risk-free asset, (2)...

In this article, we discuss whether and when the risk taking and moral hazard is beneficial to the insured and to the society as well. We establish model by stochastic optimal control theory. We obtain the optimal levels of risk taking and moral hazard from perspectives of the insured and the...

This work considers stochastic models of defined benefit pension plans. Stochastic growth rate of salary, and stochastic mortality is allowed to evaluate pension plan. Especially important thing is that based on Momon (2004), we extend Vasicek model to multi-dimentional cases and use it to mode...

In this paper, we summarize our main researches in financial and insurance areas. We emphasizes that we first present Multi-Vasicek Models extended from Vasicek Model and relevant study on its applications in the measurement and prevention of systemic risk faced by financial system, optimization...

In this paper, we summarize our main researches in financial and insurance areas. We emphasizes that we first present Multi-Vasicek Models extended from Vasicek Model and relevant study on its applications in the measurement and prevention of systemic risk faced by financial system, optimization...

In this paper, we explore the optimal price, default ratio, and capital for insurance companies under social welfare maximization from regulators' perspective. By comparing cases under symmetric and asymmetric information in the insurance market, we find that an optimal regulatory objective...

In this article, a model of optimal insurance pricing and investment strategies is established. The insurance price, investment returns and insured losses are assumed to be correlated stochastic processes. N kinds of invested risky assets following multi-Vasicek model with time-varying...

In this paper, time-inconsistent model was established under stochastic differential game framework. The investment portfolio includes multi-risky assets, whose returns are assumed to be correlated in a time-varying manner and change cyclically. The claim losses of insurance companies and...