We adopt Schwartz and Smith’s model (2000) to calculate risk measures of Brent oil futures contracts and light sweet crude oil (WTI) futures contracts and Mirantes, Poblacion and Serna’s model (2012) to calculate risk measures of natural gas futures contracts, gasoil futures contracts,...

A stochastic optimization framework is presented for liquidity risk management which is one of the principle issues facing an asset/liability manager. The various sources of cashflow uncertainty are first introduced. The notion of portfolio risk is then formally defined. The concepts of a risk...

In this paper we develop a flexible and analytically tractable framework to compute the Credit Expected Shortfall in an explit if form through Kumaraswamy (1980) distribution with both default rate and recovery rate time-varying. The default rate is assumed to follow a square root process, and...

This paper presents a methodology to analyze the Value at Risk (VaR) backtesting probability values to detect the soundness of the VaR model, the integrity of the VaR input and output as well as providing information about the type of the risk that a subportfolio is exposed to in every trading...

In a context of an ever-changing regulatory environment over the last years, Banks have witnessed the draft and publication of several regulatory guidelines and requirements in order to frame and structure their internal Risk Management.Among these guidelines, one has been specifically designed...

Since borrowers want minimal pressure to repay early while depositors want minimal constraints on withdrawals, banks typically borrow short to lend long. This is known as duration mismatch. To mitigate the risks, banks are required to hold capital buffers, which are intended to cover all losses...

In July 2009, following the financial crisis, the Basel Committee on Banking Supervision made changes to the Value at Risk (VaR) framework for the market risk capital of bank trading books. While the new rule boosts capital standards, the capital requirement seems overly burdensome and not...

Downside risk measures play a very interesting role in risk management problems. In particular, the value at risk (VaR) and the conditional value at risk (CVaR) have become very important instruments to address problems such as risk optimization, capital requirements, portfolio selection,...

In modern frameworks for financial regulation such as Basel III, IV as well as Solvency II, financial institutions are regulated to maintain a certain level of capital to prepare for potential future losses. In this paper, we take the perspective of a regulator who designs regulatory capital...