Dynamic contributions to trading are evaluated using covariations between position and price changes a horizon. Other performance measures like Sharpe ratios, Gain loss ratios, Acceptability indices and Drawdowns are also employed. Machine learning strategies based on Gaussian Process Regression...

Markets passively accept a convex cone of cash flows that contains the the nonnegative cash flows. Different markets are defined by different cones and conditions are established to exclude the possibility of arbitrage between markets. Operationally these cones are defined by positive...

Multivariate return distributions consistent with bilateral gamma marginals are formulated and termed multivariate bilateral gamma (MBG). Tail probability distances and Wasserstein Distances between return data, model simulations and their squares evaluate model performance. A full Gaussian...

Financial returns at unit time are modeled as non-Gaussian limit laws. They may reflect random walks or additive processes reflecting some predictability. Mixtures of these two constructions are formulated and estimated on one minute data. It is observed that the random walk fraction is...

Joint densities for a sequential pair of returns with weak autocorrelation and strong correlation in squared returns are formulated. The marginal return densities are either variance gamma or bilateral gamma. Two dimensional matching of empirical characteristic functions to its theoretical...

Complex insurance risks typically have multiple exposures. Options on multiple underliers with a short maturity are employed to hedge this exposure. Hedges are illustrated for GMWBVA accounts invested in the nine sector ETF's of the US economy. The underliers are simulated risk neutrally by...

Conic pricing (or bid and ask pricing) of credit risk shows how counterparty credit risk when conservatively valued at the bid price results in larger CVA than would occur under risk neutral pricing. On the other hand when it comes to the debt valuation adjustment, since it is a liability, it...

We propose a new procedure for the risk measurement of large portfolios.It employs the following objects as the building blocks:- coherent risk measures introduced by Artzner, Delbaen, Eber, and Heath;- factor risk measures introduced in this paper, which assess the risks driven by particular...

Options paying the product of put and/or call option payouts at different strikes on two underlying assets are observed to synthesize joint densities and replicate differentiable functions of two underlying asset prices. The pricing of such options is undertaken from three perspectives. The...

It is argued that the growth in the breadth of option strikes traded after the financial crisis of 2008 poses difficulties for the use of Fourier inversion methodologies in volatility surface calibration. Continuous time Markov chain approximations are proposed as an alternative. They are shown...