Due to the presence of stochastic volatility dynamics, the Fong-Vasicek short rate model is more complex but also more realistic than the classical Vasicek version. To enhance the numerical tractability of the Fong-Vasicek model for the calculation of bond option prices, we suggest the use of...

Estimation of the value-at-risk (VaR) of a large portfolio of assets is an important task for financial institutions. As the joint log-returns of asset prices can often be projected to a latent space of a much smaller dimension, the use of a variational autoencoder (VAE) for estimating the VaR...

Both barrier options and the Heston stochastic volatility model are omnipresent in real-life applications of financial mathematics. Therefore, we apply the Heath-Platen (HP) estimator as first introduced by Heath and Platen to price barrier options in the Heston model setting as an alternative...