This paper examines the impact of habit formation on the demand for life-contingent contracts in a life-cycle model. We derive an analytical solution for the optimal consumption, portfolio choice, and life insurance/annuity purchases. We illustrate the mechanism by which the consumption habit...

Various methods of combining individual p-values into one p-value are widely used in many areas of statistical applications. We say that a combining method is valid for arbitrary dependence (VAD) if it does not require any assumption on the dependence structure of the p-values, whereas it is...

This paper provides a complete-market valuation framework for emission allowances and related derivatives. In particular we present a structural model by assuming an emission rate with time-homogeneous parameters, where closed-form expressions are derived for allowances, allowance futures, and...

Basis risk occurs naturally in a number of financial and insurance risk management problems. A notable example is in the context of hedging a derivative where the underlying security is either non-tradable or not sufficiently liquid. Other examples include hedging longevity risk using...

Vine copula provides a flexible tool to capture asymmetry in modelling multivariate distributions. Nevertheless, its flexibility is achieved at the expense of exponentially increasing complexity of the model. To alleviate this issue, the simplifying assumption (SA) is commonly adapted in...

This paper studies the design of an optimal insurance contract with background risk from the perspective of an insured with a general mean-variance preference, where admissible insurance policies satisfy an incentive compatible constraint. This constraint ensures that both parties in an...

A retrospective rating plan, whose insurance premium depends upon an insured's actual loss during the policy period, is a special insurance agreement widely used in liability insurance. In this paper, the design of an optimal retrospective rating plan is analyzed from the perspective of the...

In this article, we study the problem of optimal index insurance design under an expected utility maximization framework. For general utility functions, we formally prove the existence and uniqueness of optimal contract, and develop an effective numerical procedure to calculate the optimal...

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...