Abstract: We account for time-varying parameters in the conditional expectile based value at risk (EVaR) model. EVaR appears more sensitive to the magnitude of portfolio losses compared to the quantile-based Value at Risk (QVaR), nevertheless, by fitting the models over relatively long ad-hoc...

Classical asset allocation methods have assumed that the distribution of asset returns is smooth, well behaved with stable statistical moments over time. The distribution is assumed to have constant moments with e.g., Gaussian distribution that can be conveniently parameterised by the first two...

For many applications, analyzing multiple response variables jointly is desirable because of their dependency, and valuable information about the distribution can be retrieved by estimating quantiles. In this paper, we propose a multi-task quantile regression method that exploits the potential...

Systemically important banks are connected and have dynamic dependencies of their default probabilities. An extraction of default factors from cross-sectional credit default swaps (CDS) curves allows to analyze the shape and the dynamics of the default probabilities. Extending the Dynamic Nelson...

In this paper we propose a new bootstrap, or Monte-Carlo, approach to such problems. Traditional bootstrap methods in this context are based on fitting a process chosen from a wide but relatively conventional range of discrete time series models, including autoregressions, moving averages,...

The big bang of non-fungible tokens (NFTs) has caused the birth of a brand new era for digital art. NFTs, driven by blockchain and smart contracts, provide both artists and art collectors an unprece- dented marketplace equipped with more security, flexibility, publicity, and freedom to monetize....

Deribit exchange offers about 90\% open interest in the recent cryptocurrency options market. The dominating type of options listed in Deribit is the inverse BTC option, which is settled in BTC and thus allows professional traders to avoid frequent convert between cryptocurrency and fiat...

Bitcoin Pricing Kernels (PK) are estimated using a novel data set from Deribit, one of the largest Bitcoin derivatives exchanges. The PKs improve the understanding of investor sentiment and risk premia. Bootstrap-based confidence bands are estimated in order to validate the results. Investors...

Bitcoin (BTC) has attracted a plethora of investors and professional traders and becomes an almost inevitable asset class in today's financial markets. Deribit, the largest exchange for crypto options, offers European-typed inverse options, which target to BTC in USD but have payoff denominated...

Originating from cooperative game theory, Shapley values have become one of the most widely used measures for variable importance in applied Machine Learning. However, the statistical understanding of Shapley values is still limited. In this paper, we take a nonparametric (or smoothing)...