In some recent papers, such as Elliott & van der Hoek, Hu & Öksendal, a fractional Black-Scholes model have been proposed as an improvement of the classical Black-Scholes model. Common to these fractional Black-Scholes models, is that the driving Brownian motion is replaced by a fractional...

In a bonus-malus system in car insurance, the bonus class of a customer is updated from one year to the next as a function of the current class and the number of claims in the year (assumed Poisson). Thus the sequence of classes of a customer in consecutive years forms a Markov chain, and most...

Longevity risk has become a major challenge for governments, individuals, and annuity providers in most countries, and especially its aggregate form, i.e. the risk of unsystematic changes to general mortality patterns, bears a large potential for accumulative losses for insurers. As obvious risk...

In this paper life insurance contracts based on an urn-of-urns model, with age-at-death asobservable variable, are analyzed. Premium payment functions based on the principles of“equivalence on an individual level” and “equivalence on a group level” are compared. Boththe aggregate loss...

Suppose are independent subexponential random variables with partial sums. We show that if the pairwise sums of the ’s are subexponential, then is subexponential and . The result is applied to give conditions under which as , where are constants such that is a.s. convergent. Asymptotic tail...

The importance of weather as a production factor in agriculture is well established long time and a significant portion of yield fluctuations is caused by weather risks. Traditionally, farmers have tried to hedge against unfavorable weather using insurance, such as crop insurance. In recent...

Mit diesem Bericht dokumentiert das Institut für Versicherungswesen (ivwKöln) seine Forschungsaktivitäten des vergangenen Jahres. Wir geben damit gegenüber der Öffentlichkeit und insbesondere den Freunden und Förderern des Instituts Rechenschaft über die geleistete Forschungsarbeit....

Wie kann man in einer immer enger verflochtenen Welt einen zukunftsfähigen Sozialstaat gestalten? Und wie kann soziale Sicherheit zu einer friedlicheren Welt beitragen? Diesen Fragen widmeten sich nach dem Zweiten Weltkrieg international vernetzte Sozialversicherungsexperten und legten damit...

Die gesetzliche Rentenversicherung ist nach dem Prinzip der Teilhabe-Äquivalenz aufgebaut. Dies soll bewirken, dass die Rentenansprüche in einer bestimmten Relation zu den gezahlten Beiträgen stehen, also vorrangig keine Umverteilung stattfindet. In Wahrheit gibt es jedoch eine massive...