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....

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)...

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 classical approaches to optimal portfolio selection call for finding a feasible portfolio that optimizes a risk measure, or a gain measure, or a combination thereof by means of a utility function or of a performance measure. However, the optimization approach tends to amplify the estimation...

Banking crises can be damaging for the economy, and as the recent experience has shown, nowadays they can spread rapidly across the globe with contagious effects. Therefore, the assessment of the stability of the banking sectors is important for regulators, depositors, investors and the general...

We construct an endogenous growth model in which bank runs occur with positive probability in equilibrium. In this setting, a bank run has a permanent effect on the levels of the capital stock and of output. In addition, the possibility of a run changes the portfolio choices of depositors and of...

A consistent framework for optimal liquidity management is presented. This framework optimizes the cost of covering expected cashflow gaps without violating regulatory and business constraints. Anticipated economic value loss, cashflow loss, and adverse market impact are the major drivers of...