A new class of risk measures called cash sub-additive risk measures is introduced to assess the risk of future financial, nonfinancial and insurance positions. The debated cash additive axiom is relaxed into the cash sub-additive axiom to preserve the original difference between the numeraire of...

We investigate risk averse agents who manage risk by trading financial securities in a market that we call a risk market. We assume this market is perfectly competitive and complete. When risk aversion is expressed using risk measures, the (bundle of) prices for financial securities turns out to...

Implied volatility and other forward-looking measures of option-implied uncertainty help investors carefully evaluate market sentiment and expectations. We construct several measures of implied uncertainty in European government bond futures. In the first part, we create new volatility indices,...

In line with regulations and common risk management practice, the credit risk of a portfolio is managed via its potential future exposures (PFEs), expected exposures (EEs), and related measures, the expected positive exposure (EPE), effective expected exposure (EEE), and the effective expected...

This paper investigates international index return predictability using daily-updated option-implied information in predictive regressions and out-of-sample forecasts. We document the significant predictive power of the variance risk premium (VRP), Generalized Riskiness (GR), and higher-order...

Quite recently, a great interest has been devoted to time-consistency of risk measures in its different formulations (see Delbaen, Follmer and Penner, Bion-Nadal, Delbaen et al., Laeven and Stadje, among many others). However, almost all the papers address to coherent or convex risk measures...

This paper develops and implements an equilibrium model of systemic risk. The model derives a systemic risk measure, loss beta, in characterizing all too-big-to-fail banks using a capital insurance equilibrium. By constructing each bank's loss portfolio with a recent accounting approach, we...

We extend the Rothschild and Stiglitz (1970, 1971) notion of increasing risk to families of random variables and in this way link their approach to the concept of stochastic processes which are increasing in the convex order. These processes have been introduced in seminal work by Strassen...