The regime switching rough Heston model has two important features on different time scales. The regime switching is motivated by changes in the long term behaviour. The parameter of the model might change over time due to macro-economic reasons. Therefore we introduce a Markov chain to model...

Explicitly taking into account the risk incurred when borrowing at a shorter tenor versus lending at a longer tenor ("roll-over risk"), we construct a stochastic model framework for the term structure of interest rates in which a frequency basis (i.e. a spread applied to one leg of a swap to...

This paper analyses the attributes and the significance of the roughness of oil market volatility. We employ unspanned stochastic volatility models driven by rough Brownian motions that yield semi-analytical prices for futures options entailing efficient calibration applications. By performing a...