Many financial applications, such as risk analysis and derivatives pricing, depend on time scaling of risk.  A common method for this purpose, though only correct when returns are iid normal, is the square root of time rule where an estimated quantile of a return distribution is scaled to a...

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...

Most financial risk regulations assume that asset returns are exogenous, where risk is estimated from historical data. This assumption fails to take into account the feedback effect of trading decisions on prices. We investigate the consequences of risk constrained trading by means of...

Extreme events in financial markets are often generated by shocks that come from within the system, rather than those that arrive from outside the system. The combination of risk-sensitive behavior rules and the coordinated actions implied by market-to-market accounting can result in outcome...

Market volatility reflects traders' actions, while their actions depend on perceptions of risk. Equilibrium volatility is the fixed point of the mapping that takes perceived risk to actual risk. We solve for equilibrium stochastic volatility in a dynamic setting where risk-neutral traders...

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...

Banks operating under Value-at-Risk constraints give rise to a welldefined 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...

We analyse a general equilibrium model of strategic arbitraging and intermediation. Arbitrageurs take advantage of mispricings, market frictions and manipulation opportunities in order to maximise profits. We analyse the effects of increased competition among arbitrageurs due to lower entry...