In continuous trading, ruin problems are important for several reasons. ln the first part of the paper a test criterion for bankruptcy is developed. In the present framework one implicitly assumes the investor's wealth to be different from zero, otherwise the model is not well-defined. It is of...

The problem of determining optimal portfolio rules is considered. Prices are allowed to be stochastic processes of a fairly general nature, expressible as stochastic integrals with respect to semimartingales. The set of stochastic differential equations assumed to describe the price behaviour...

We use a white noise approach to Malliavin calculus to prove the following white noise generalization of the Clark-Haussmann-Ocone formula <p>\[F(\omega)=E[F]+\int_0^TE[D_tF|\F_t]\diamond W(t)dt\] <p>Here E[F] denotes the generalized expectation, $D_tF(\omega)={{dF}\over{d\omega}}$ is the...</p></p>

This article presents a valuation model of futures contracts and derivatives on such contracts, when the underlying delivery value is an insurance index, which follows a stochastic process containing jumps of random claim sizes at random time points of accident occurrence. Applications are made...

Consider a traditional life insurance contract paid with a single premium. In addition to mortality factors, the relationship between the fixed amount of benefit and the single premium depends on the interest rate (calculation rate). The calculation rate can be interpreted as the average rate...

The authors empirically investigate models of insurance futures derivatives contracts. In the fall of 1993 the Chicago Board of Trade (CBOT) started trading a contract designed to scrutinize catastrophic risk, which is currently done in the reinsurance markets. There are obvious advantages to...

We derive the equilibrium interest rate and risk premiums using recursive utility for jump-diffusions. Compared to to the continuous version, including jumps allows for a separate risk aversion related to jump size risk in addition to risk aversion related to the continuous part. We also...

For the conventional model with additive and separable expected utility, risk aversion and intertemporal elasticity of substitution in consumption sometimes play conflicting roles, in particular in life insurance and pensions. We propose to use recursive utility in the life cycle model, where we...