This paper considers the optimal time-consistent investment and reinsurance strategies for an insurer under Heston’s stochastic volatility (SV) model. Such an SV model applied to insurers’ portfolio problems has not yet been discussed as far as we know. The surplus process of the insurer is...

This paper studies an optimal investment and reinsurance problem incorporating jumps for mean–variance insurers within a game theoretic framework and aims to seek the corresponding time-consistent strategies. Specially, the insurers are allowed to purchase proportional reinsurance, acquire new...

This paper studies the optimal dividend strategies of an insurance company when the manager has time-inconsistent preferences. We consider the problem for a naive manager and a sophisticated manager, and analytically derive the optimal dividend strategies when claim sizes follow an exponential...

The optimal excess-of-loss reinsurance and investment strategies under a constant elasticity of variance (CEV) model for an insurer are considered in this paper. Assume that the insurer’s surplus process is approximated by a Brownian motion with drift, the insurer can purchase excess-of-loss...

This paper investigates the optimal time-consistent policies of an investment-reinsurance problem and an investment-only problem under the mean-variance criterion for an insurer whose surplus process is approximated by a Brownian motion with drift. The financial market considered by the insurer...

This paper considers a robust optimal reinsurance and investment problem under Heston’s Stochastic Volatility (SV) model for an Ambiguity-Averse Insurer (AAI), who worries about model misspecification and aims to find robust optimal strategies. The surplus process of the insurer is assumed to...

This paper considers the multi-period optimal strategies for an investment-only problem and an investment–consumption problem. The financial market is regime-switching and consists of one risk-free asset and multiple risky assets. The state process of the financial market is modeled by a...

In this paper we formulate a continuous-time mean-variance portfolio selection model with multiple risky assets and one liability in an incomplete market. The risky assets' prices are governed by geometric Brownian motions while the liability evolves according to a Brownian motion with drift....

We investigate optimal portfolio selection problems with mispricing and model ambiguity under a financial market which contains a pair of mispriced stocks. We assume that the dynamics of the pair satisfies a “cointegrated system” advanced by Liu and Timmermann in a 2013 manuscript. The...

This paper considers an optimal investment and excess-of-loss reinsurance problem with delay for an insurer under Heston’s stochastic volatility (SV) model. Suppose that the insurer is allowed to purchase excess-of-loss reinsurance and invests her surplus in a financial market consisting of...