This paper aims to develop optional semimartingale methods in risk theory to allow for a larger class of risk models. Optional semimartingales are left-continuous with right-limit stochastic processes defined on a probability space where the usual conditions - completeness and right-continuity...

Government bond yield futures and related option contracts contain information on the asymmetry of interest rate risks. We construct probability distributions of marketimplied bond yield expectations up to 90 calendar days ahead between January 2018 and December 2023. We derive daily...

In this paper we consider the problem of pricing and hedging European derivatives written on two underlying assets, when individual marginal distributions are known. Our aim is twofold. First, we conduct a parallel analysis between implied volatility and implied correlation for spread options in...