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...

Risk measures are the historical predictors of investment. Risk and volatility are major components in the world of modern investment. There are five principal risk measures: Alpha: Measures risk relative to the market or benchmark index, Beta: Measures volatility or systemic risk compared to...

We study how to manage commodity risks (price and volume) via procurement and financial hedging for a value-at-risk (VaR) risk-averse newsvendor. Facing stochastic procurement cost from the commodity market, the firm decides on its financial hedging strategy contingent on the procurement cost...

We employ the R-vine copula approach to study the dependence structures among non-ferrous metal commodity futures on the London Metal Exchange, focusing on the comparison before and after the 2008 financial crisis. We document that the center of dependence structure among non-ferrous metal...

The work introduces the concept of a new risk measure VaR in a square (VaR(2)) and displays the formula for calculating it. It turns out that to calculate the VaR (2), it is sufficient to calculate a normal measure of risk VaR , with a certain changed confidence probability.The ratio of risk...

The risk parity solution to the asset allocation problem yields portfolios where the risk contribution from each asset is made equal. We consider a generalized approach to this problem. First, we set an objective that seeks to maximize the portfolio expected return while minimizing portfolio...

This paper considers some univariate and multivariate operational risk models, in which the loss severities are modelled by some weakly tail dependent and heavy-tailed positive random variables, and the loss frequency processes are some general counting processes. In such models, we derive some...

This paper is concerned with the process of risk allocation for a generic multivariate model when the risk measure is chosen as the Value-at-Risk (VaR). Making use of Malliavin calculus, we recast the traditional Euler contributions from an expectation conditional to an event of zero probability...

Accurate estimation and optimal control of tail risk is important for building portfolios with desirable properties, especially when dealing with a large set of assets. In this work, we consider optimal asset allocations strategies based on the minimization of two asymmetric deviation measures,...