This paper introduces a method for simulating multivariate samples that have exact means, covariances, skewness and kurtosis. A new class of rectangular orthogonal matrices is fundamental to the methodology, and these "L-matrices'' can be deterministic, parametric or data specific in nature. The...

We consider the hedging problem where a futures position can be automatically liquidated by theexchange without notice. We derive a semi-closed form for an optimal hedging strategy with dualobjectives -- to minimise both the variance of the hedged portfolio and the probability of liquidationsdue...

For liquidity providers in the rapidly-growing crypto options market as well as potential institutional investors in crypto options, we test the joint efficiency of the bitcoin options and perpetual futures markets, and likewise for ether, and identify the frequency and magnitude of arbitrage...

As Web 3 developments expand to virtual reality metaverses, personal profile (PFP) non-fungible tokens are emerging as the digital profile of choice. Many of these collections plan for images to be made into 3D avatars that function in virtual gaming and/or business environments. At the time of...

This paper explores the properties of random orthogonal matrix (ROM) simulation when the random matrix is drawn from the class of rotational matrices. We describe the characteristics of ROM simulated samples that are generated using random Hessenberg, Cayley and exponential matrices and compare...

Large banks assess their regulatory capital for market risk using complex, firm-wide Value-at-Risk (VaR) models. In their 'bottom-up' approach to VaR there are many sources of model risk. A recent amendment to banking regulations requires additional market risk capital to cover all these model...