In the recent Fundamental Review of the Trading Book (FRTB), the Basel Committee on Banking Supervision proposed the shift from the 99% Value-at-Risk (VaR) to the 97.5% Expected Shortfall (ES) for internal models in market risk assessment. Inspired by the above transition, we introduce a new...

A unified explanation of risk and mispricing in stock returns underpinned by their aggregate liquidity risk is presented. We argue alternating liquidity exposures depict two distinct investment preferences-hedging against aggregate liquidity risk or betting on it. A three-factor model capturing...

For markets to work efficiently, buyers and sellers must be able to transact easily. People must have access to a marketplace such as a supermarket or a stock exchange with adequate liquidity. Further, people must have confidence that such a well-functioning marketplace will also exist in the...

Value at risk (VaR) and expected shortfall (ES) are two of the most widely used risk measures in economics and finance. In this paper, we use a semiparametric method, together with realized variance measures, to jointly estimate structural models for the two risk measures. The semiparametric...

The purpose of this article is to evaluate optimal expected utility risk measures (OEU) in a risk- constrained portfolio optimization context where the expected portfolio return is maximized. We compare the portfolio optimization with OEU constraint to a portfolio selection model using value at...

We consider an investor whose objective is to trade off tail risk and expected growth of the investment. We measure tail risk through portfolio's expected losses conditioned on the occurrence of a systemic event: financial market loss being exactly at, or at least at, its VaR level and...

A kind of worst-case value-at-risk, GVaR, is defined to measure risk incorporating model uncertainty. Compared with most extant notions of worst-case VaR, GVaR can be computed by an explicit formula, and can be applied to large portfolios of several hundreds dimensions with low computational...

In this work, we propose a non-parametric density estimation technique for measuring the risk in a credit portfolio. The novel method is based on wavelets, and we derive closed-form expressions to calculate the Value-at-Risk (VaR), the Expected Shortfall (ES) as well as the risk contributions to...