In the current paper, we develop a methodology to price lookback options for cryptocurrencies. We propose a discretely monitored window average lookback option, whose monitoring frequencies are randomly selected within the time to maturity, and whose monitoring price is the average asset price...

Commodity is one of the most volatile markets and forecasting its volatility is an issue of paramount importance. We study the dynamics of the commodity markets volatility by employing fractional stochastic volatility and heterogeneous autoregressive (HAR) models. Based on a high-frequency...

As it is well-known, the centrepiece of model calibration is regularization which plays an important role in transforming an ill-posed calibration problem into a stable and well-formulated one. Empirically, this realm of research has not been explored in much details in the literature. The goal...

Short sell bans are often imposed during a financial crisis as a desperate measure to stabilize financial markets. Yet, the impact of short sell bans on option pricing and hedging is not well quantitatively studied until very recently when Guo and Zhu (2017) and He and Zhu (2018) formulated a...

Spread options are multi-asset options whose payoffs depend on the difference of two underlying financial variables. In most cases, analytically closed form solutions for pricing such payoffs are not available, and the application of numerical pricing methods turns out to be non-trivial. We...

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...