On the discounted penalty at ruin in a jump-diffusion and the perpetual put option
The paper deals with a stochastic model of ruin theory which is obtained by adding a Wiener process to the right side term of the classical non-random model. The corresponding expected discounted value of a penalty at ruin satisfies a renewal equation, which is obtained via a probabilistic approach. Pricing perpetual put options is examined, and the new equations so obtained extend classical known results already established by Merton.
scientific article; zbMATH DE number 1202775