: Plain or crude Monte Carlo simulation (CMC) is commonly applied for estimating multiperiod tail risk measures such as value-at-risk (VaR) and expected shortfall (ES). After fitting a volatility model to the past history of returns and estimating the conditional distribution of innovations, one...

We derive methods for risk-neutral pricing of multi-asset options, when log-returns jointly follow a multivariate tempered stable distribution. These lead to processes that are more realistic than the better known Brownian motion and stable processes. Further, we introduce the diagonal tempered...

The risk-neutral density is a fundamental concept in pricing financial derivatives, risk management, and assessing financial markets' perceptions over significant political or economic events. In this paper, we propose a new nonparametric method for estimating the risk-neutral density using...