In this paper, we propose a multivariate Lévy model as an extension of the univariate Difference of Gammas model introduced by Finlay and Seneta. The construction is based on the work of Mathai and Moschopoulos, where we model the log price gains and losses by separate Gamma processes, each...

This paper provides a new market implied calibration based on a moment matching methodology where the moments of the risk-neutral density function are inferred from at-the-money and out-the-money European vanilla option quotes. In particular, we derive a model independent risk-neutral formula...

This paper proposes different diffusion processes to model herd behavior indices such as the Herd Behavior Index (HIX) or the comonotonicity index (CIX). These models arise by combining popular mean-reverting processes with simple algebraic functions mapping the definition domain of the...

In this paper the authors introduce the new concept of implied liquidity on the basis of the recent developed two-way price theory (conic finance). Implied liquidity isolates and quantifies in a fundamental way liquidity risk in financial markets. It is shown on real market option data on the...

The concept of implied liquidity originates from the conic finance theory and more precisely from the law of two prices where market participants buy from the market at the ask price and sell to the market at the lower bid price. The implied liquidity lambda of any financial instrument is...