Quantile hedging in models with dividends and application to equity-linked life insurance contracts

The paper demonstrates the effect of the dividends on pricing and hedging the European contingent claims under a budget constraint and presents insurance applications. Explicit formulae for the quantile pricing and hedging of the European call option are derived assuming the jump-diffusion model of the financial market. These results are used to determine the premium of the pure endowment with fixed guarantee equity-linked life insurance contract as well as the survival probability of the insured. A numerical example is given to illustrate the role of dividends in valuation and risk management of such insurance contracts.