Optimisation of Time-Varying Asset Pricing Models with Penetration of Value at Risk and Expected Shortfall

Dynamic Semiparametric Models for Expected Shortfall (and Value-at-Risk)

Expected Shortfall (ES) is the average return on a risky asset conditional on the return being below some quantile of its distribution, namely its Value-at-Risk (VaR). The Basel III Accord, which will be implemented in the years leading up to 2019, places new attention on ES, but unlike VaR, there is little existing work on modeling ES. We use recent results from statistical decision theory to ...

The Expansion of Capital Asset Pricing Factor Models through Pricing Value ، Momentum and stock quality at Tehran stock exchange

Considering the inverse relationship between the value and momentum factors and the lack of simultaneous use of them in capital asset pricing models as well as non-use of stock quality as representative of profitability ans investment factors such as CAPM and Fama and French's three-factor models, the basis of this study is to provide a new functional model has been replacing pricing models o...

Estimating Value at Risk and Expected Shortfall Using Expectiles

Expected Shortfall: a natural coherent alternative to Value at Risk

We discuss the coherence properties of Expected Shortfall (ES) as a financial risk measure. This statistic arises in a natural way from the estimation of the “average of the 100p% worst losses” in a sample of returns to a portfolio. Here p is some fixed confidence level. We also compare several alternative representations of ES which turn out to be more appropriate for certain purposes.

Expected Shortfall: a natural coherent alternative to Value at Risk