Using regular variation to define heavy tailed distributions, we show that prominent downside risk measures produce similar and consistent ranking of heavy tailed risk. Thus regardless of the particular risk measure being used, assets will be ranked in a similar and consistent manner for heavy...

In this paper we compare overall as well as downside risk measures with respect to the criteria of first and second order stochastic dominance. While the downside risk measures, with the exception of tail conditional expectation, are consistent with first order stochastic dominance, overall risk...

Economic problems such as large claims analysis in insurance and value-at-risk in finance, require assessment of the probability P of extreme realizations Q. This paper provides a semi-parametric method for estimation of extreme (P,Q) combinations for data with heavy tails. We solve the long...

Banks operating under Value-at-Risk constraints give rise to a well-defined aggregate balance sheet capacity for the banking sector as a whole that depends on total bank capital. Equilibrium risk and market risk premiums can be solved in closed form as functions of aggregate bank capital. We...

Risk is endogenous. Equilibrium risk is the fixed point of the mapping that takes perceived risk to actual risk. When risk-neutral traders operate under Value-at-Risk constraints, market conditions exhibit signs of fluctuating risk appetite and amplification of shocks through feedback effects....

Accurate prediction of extreme events are of primary importance in many financial applications. The properties of historical simulation and Risk Metrics techniques for computing Valu-at Risk (VaR) are compared with a method which involves modelling the tails of financial returns explicitly with...

The implications of Value-at-Risk regulations are analyzed in a CARA-normal general equilibrium model. Financial institutions are heterogeneous in risk preferences, wealth and the degree of supervision. Regulatory risk constraints lower the probability of one form of a systemic crisis, at the...

Risk management systems in current use treat the statistical relations governing asset returns as being exogenous, and attempt to estimate risk only by reference to historical data. These systems fail to take into account the feedback effect in which trading decisions impinge on prices. We...

An order flow model, where the coded identity of the counterpartiesof every trade is known, hence providing institution level order flow, isapplied to both stable and crisis periods in a large and liquid overnightrepo market in an emerging market economy. Institution level orderflow is much more...

We provide an equilibrium multi-asset pricing model with micro-founded systemic risk and heterogeneous investors. Systemic risk arises due to excessive leverage and risk taking induced by free-riding externalities. Global risk-sensitive financial regulations are introduced with a view of...