Much of the industrialized world is undergoing a significant demographic shift, placing strain on public pension systems. Policymakers are responding with pension system reforms that put more weight on privately managed retirement funds. One concern with these changes is the effect on individual...

This paper finds out that the risk exposure of a trader subject to a VaR limit is always lower than that of an unconstrained trader and that the probability of extreme losses is also lower.

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...

Much of the industrialized world is undergoing a significantdemographic shift, placing strain on public pension systems. Policymakers are responding with pension system reforms that put more weight on privately managed retirement funds. One concern with these changes is the effect on individual...

A pay-as-you-go (paygo) pension program may provide intergenerational pooling of risks toindividuals´ labor and capital income over the life cycle. By means of a model that providesilluminating closed form solutions, we demonstrate that the magnitude of the optimal paygoprogram and the nature...

We analyze the effect of enhanced annuities on an insurer engaging in individualunderwriting. We use a frailty model for the heterogeneity of the insured populationand model the individual underwriting by a random variable that positivelycorrelates with the corresponding frailty factor. For a...

Das Preis-Leistungs-Verhältnis herkömmlicher Rentenversicherungen steigt mitder Lebenserwartung des Versicherten. Derartige Produkte sind damit nur für Personen mit relativ hoher Lebenserwartung attraktiv. Der Nachteil für Versichertemit reduzierter Lebenserwartung wird durch steuerliche...

In comparing an immediate life annuity with a payout-equivalent investment fundpayout plan (self-annuitization), research to date has focused mainly on shortfallprobabilities of self-annuitization. As an exception, Schmeiser and Post (2005)propose a family strategy where the chances of...

We develop a method that allows one to compute incomplete-market equilibria routinely forMarkovian equilibria (when they exist). The main difficulty to be overcome arises from the setof state variables. There are, of course, exogenous state variables driving the economy but, in anincomplete...

We prove that for any incomplete market and any concave utilityfunction the marginal propensities to consume and to save are alwayspositive. Furthermore, we introduce a class of incomplete markets thatincludes almost all well known examples of market incompleteness infinance and macroeconomics....