One of the key challenges implied by the upcoming regulatory framework for market risk, known as FRTB, is the PL attribution (PLA) tests. PLA tests constitute a major innovation in the way risk engine and models are assessed for effectiveness and accuracy (on both pricing and risk factors...

In this paper we outline the Lagrangian constrained optimization method to solve complex problems subject to constraints. Firstly we summarize the Lagrangian constrained optimization routine. Secondly we outline a detailed implementation strategy. Thirdly and finally we provide example and solve...

The mining industry can be extremely volatile during times of economic downturn. We compare extreme risk in mining share portfolios from each of the world's seven leading mining areas using Conditional Value at Risk (CVaR) which measures those risks beyond traditional Value at Risk (VaR)...

This paper introduces a formulation of the optimal network compression problem for financial systems. This general formulation is presented for different levels of network compression or rerouting allowed from the initial inter-bank network. We prove that this problem is, generically, NP-hard....