We analyse contracts which pay out a guaranteed minimum rate of return and a fraction of a positive excess rate, which is specified on the basis of a benchmark portfolio. These contracts are closely related to unit-linked life-insurance/savings plans products and can be considered as...

We analyse contracts which pay out a guaranteed minimum rate of return and a fraction of a positive excess rate, which is specified on the basis of a benchmark portfolio. These contracts are closely related to unit--linked life--insurance/savings plan products and can be considered as...

This paper analyzes tractable robust hedging strategies in diffusion-type models including stochastic volatility models. A robust hedging strategy avoids any losses as long as volatility stays within a given interval. It does not depend on the exact specification of the volatility process and...

In der vorliegenden Studie wird das Pricing aktiengebundener Lebensversicherungen mit Mindestgarantiezins in einem Gleichgewichtsmodell untersucht. Dazu werden Modelle zur Berechnung der Default-Option und der Ausfallwahrscheinlichkeiten eingeführt. Die Modelle binden Angebot- und...

The decision to buy a life insurance policy is in most of the cases a complex decision. The consumer faces many problems before the purchase and during the effective process and after the purchase.

We propose a probabilistic numerical algorithm to solve Backward Stochastic Differential Equations (BSDEs) with nonnegative jumps, a class of BSDEs introduced in [9] for representing fully nonlinear HJB equations. In particular, this allows us to numerically solve stochastic control problems...

We propose a probabilistic numerical algorithm to solve Backward Stochastic Differential Equations (BSDEs) with nonnegative jumps, a class of BSDEs introduced in [9] for representing fully nonlinear HJB equations. In particular, this allows us to numerically solve stochastic control problems...

A superreplicating hedging strategy is commonly used when delta hedging is infeasible or is too expensive. This article provides an exact analytical solution to the superreplication problem for a class of derivative asset payoffs. The class contains common payoffs that are neither uniformly...

The Black Scholes Barenblatt (BSB) equation for the envelope of option prices with uncertain volatility and interest rate is derived from the Black Scholes equation with the maximum principle for diffusion equations and shown to be equivalent to a readily solvable standard Black Scholes equation...

Within a default intensity approach we discuss the optimal exercise of the callable and convertible bonds. Pricing bounds for convertible bonds are derived in an uncertain volatility model, i.e. when the volatility of the stock price process lies between two extreme values.