A State Price Density (SPD) is the density function of a risk neutral equivalent martingale measure for option pricing, and is indispensible for exotic option pricing and portfolio risk management. Many approaches have been proposed in the last two decades to calibrate a SPD using financial...

A deferred annuity typically includes an option-like right for thepolicyholder. At the end of the deferment period, he may either choose toreceive annuity payouts, calculated based on a mortality table agreed to atcontract inception, or receive the accumulated capital as a lump sum.Considering...

Motivated by a recent demographic study establishing a link betweenmacroeconomic fluctuations and the mortality index kt in the Lee-Cartermodel, we assess the impact of macroeconomic fluctuations on the solvencyof a life insurance company. Liabilities in our stochastic simulationframework are...

A deferred annuity typically includes an option-like right for the policyholder. At the end of the deferment period, he may either choose to receive annuity payouts, calculated based on a mortality table agreed to at contract inception, or receive the accumulated capital as a lump sum....

Motivated by a recent demographic study establishing a link between macroeconomic fluctuations and the mortality index kt in the Lee-Carter model, we assess the impact of macroeconomic fluctuations on the solvency of a life insurance company. Liabilities in our stochastic simulation framework...

A simple and commonly used method to approximate the total claim distribution of a (possible weakly dependent) insurance collective is the normal approximation. In this article, we investigate the error made when the normal approximation is plugged in a fairly general distribution-invariant risk...

Weather derivatives (WD) are different from most financial derivatives because the underlying weather cannot be traded and therefore cannot be replicated by other financial instruments. The market price of risk (MPR) is an important parameter of the associated equivalent martingale measures used...

We exploit the natural experiment of the 2005 income tax reform in Germany to study the effects of tax incentives on consumer behavior in life insurance markets. Our empirical analysis of sociodemographic, economic, and psychological household characteristics elicited in the German SAVE study...

On the temperature derivative market, modeling temperature volatility is an important issue for pricing and hedging. In order to apply pricing tools of financial mathematics, one needs to isolate a Gaussian risk factor. A conventional model for temperature dynamics is a stochastic model with...

This paper is intended as a guide to building insurance risk (loss) models. A typical model for insurance risk, the so-called collective risk model, treats the aggregate loss as having a compound distribution with two main components: one characterizing the arrival of claims and another...