In the insurance industry, the number of product-specific policies from different companies has increased significantly. The strong market competition has boosted the demand for a competitive premium. In actuarial science, scant literature still exists on how competition actually affects the...

This paper studies a one-period stochastic game to determine the optimal premium strategies of non-life insurers in a competitive market. Specifically, the optimal premium strategy is determined by the Nash equilibrium of an n-player game, in which each player is assumed to maximise the expected...

This paper studies an optimal reinsurance problem of Pareto-optimality when the contract is subject to default of the reinsurer. We assume that the reinsurer can invest a share of its wealth in a risky asset and default occurs when the reinsurer's end-of-period wealth is insufficient to cover...

Motivated by macroeconomic risks, such as the COVID-19 pandemic, we consider different risk management platforms and study efficient insurance schemes in the presence of systematic events. More precisely, we consider three platforms: the risk-sharing, insurance and market platform. First, we...

This paper studies the Bowley solution for a sequential game within the expected utility framework. We assume that the policyholders are expected utility maximizers, and there exists a representative policyholder who faces a fixed loss with given probability and no loss otherwise. This...

This paper studies the optimal insurance design from the perspective of an insured when there is possibility for the insurer to default on its promised indemnity. Default of the insurer leads to limited liability, and the promised indemnity is only partially recovered in case of a default. To...

Economic growth has been shown to be an important factor that explains changes in mortality probabilities. Economic growth is commonly measured via the Gross National Product (GDP), but this paper argues that the Consumer Price Index (CPI) is a more natural factor to explain mortality dynamics....

To manage the risk of insurance companies, a reinsurance transaction is among the myriad risk management mechanisms the top ranked choice. In this paper, we study the design of optimal reinsurance contracts within a risk measure minimization framework and subject to the Vajda condition. The...

Risk sharing has been practiced in various forms in the financial industry. This paper proposes a multi-period risk-sharing mechanism for a group of participants. The design of risk-sharing strategies is based on mean-variance optimizations of participants' terminal reserves. Such a framework...

This paper studies a bilateral risk-sharing problem where both agents are rank-dependent utility maximizers. The market restricts risk allocations to be comonotonic. We first characterize the optimal risk allocation in an implicit way through the calculus of variations. Then, based on the...