We present a multivariate version of a structural default model with jumps and use it in order to quantify the bilateral credit value adjustment and the bilateral debt value adjustment for equity contracts, such as forwards, in a Merton-type default setting. In particular, we explore the impact...

We propose optimal mean-variance dynamic hedging strategies in discrete time under a multivariate Gaussian regime-switching model. The methodology, which also performs pricing, is robust to time-varying and clustering risk observed in financial time series. As such, it overcomes the main...

This paper provides a complete-market valuation framework for emission allowances and related derivatives. In particular we present a structural model by assuming an emission rate with time-homogeneous parameters, where closed-form expressions are derived for allowances, allowance futures, and...

In order to analyze the pricing of portfolio credit risk – as revealed by tranche spreads of a popular credit default swap (CDS) index – we extract risk-neutral probabilities of default (PDs) and physical asset return correlations from single-name CDS spreads. The time profile and overall...

This paper uses deep learning to value derivatives. The approach is broadly applicable, and we use a call option on a basket of stocks as an example. We show that the deep learning model is accurate and very fast, capable of producing valuations a million times faster than traditional models. We...

Profit and loss distributions of trading strategies with position limits and transactions costs are divided on industry gain and traders interest and determined for a single futures contract. Open interest and volume are expressed for a multiset of strategies with constraints. These strategies...

It is common belief that Exchange Traded Derivatives (ETDs), e.g. Futures and Futures Options, are collateralized plain vanilla financial instruments carrying low counterparty risk and capital requirements with respect to corresponding Over The Counter Derivatives (OTCDs). In this paper we...

We find the variance-optimal equivalent martingale measure when multivariate assets are modeled by a regime-switching geometric Brownian motion, and the regimes are represented by a homogeneous continuous time Markov chain. Under this new measure, the Markov chain driving the regimes is no...

One of the most important aspects in portfolio management is having an accurate understanding of the future possible returns of the underlying assets. Unfortunately, estimating such return distributions is anything but trivial. In this research, we consider the information embedded in the...

Chains of the CME Group Time and Sales E-mini S&P 500 futures tick prices and their a-b-c-d-increments are studied. A discrete probability distribution based on the Hurwitz Zeta function and Dirichlet series is suggested for the price increments. The randomness of the ticks is discussed using...