In this paper, we study two classes of optimal reinsurance models from the perspective of an insurer by minimizing its total risk exposure under the criteria of value at risk (VaR) and conditional value at risk (CVaR), assuming that the reinsurance premium principles satisfy three basic axioms:...

This paper proposes a novel and practical approach of addressing optimal reinsurance via an empirical approach. This method formulates reinsurance models using the observed data directly and has advantages including (i) transformation of an infinite dimensional optimization problem to finite...

Hedging is one of the most important topics in finance. When a financial market is complete, every contingent claim can be hedged perfectly to eliminate any potential future obligations. When the financial market is incomplete, the investor may eliminate his risk exposure by superhedging. In...

In this paper, we consider the problem of optimal partial hedging for a contingent claim subject to a preset hedging budget constraint. Under some technical assumptions on the hedged loss function and the market pricing functional, the optimal partial hedging strategy, which minimizes the...

This study investigates the asset-liability management (ALM) of life insurers in the markets with negative interest rates. Using a sample of Japanese life insurers between 1999 and 2018, we provide initial evidence that the negative interest rate environment produces a much more serious...

In this paper we propose a flexible framework for the design of weather index insurance (WII) based on penalized spline methods. The aim is to find the indemnity function which optimally characterizes the intricate relationship between agricultural production losses and weather variables and...

Tail risk measures such as Value at Risk (VaR) and Conditional Value at Risk (CVaR) are popularly accepted criteria for financial risk management, but are usually difficult to optimize. Especially for VaR, it generally leads to a non-convex NP-hard problem which is computationally challenging....

In this paper, we study two classes of optimal reinsurance models by minimizing the total risk exposure of an insurer under the criteria of value at risk (VaR) and conditional value at risk (CVaR). We assume that the reinsurance premium is calculated according to the expected value principle....

To control downside risk of a defined benefit (DB) pension plan arising from unexpected mortality improvements and severe market turbulence, this paper proposes an optimization model by imposing two conditional value at risk (CVaR) constraints to control tail risks of pension funding status and...