generation under consideration of risk. We include a reserve market, a day-ahead market and an intraday market in stochastic … modeling and develop a multi-stage stochastic Mixed Integer Linear Program. We assess the profitability as well as the risk … exposure, quantified by the conditional value at risk metric, of trading strategies following different risk preferences. We …

We study upper and lower bounds on the expectile risk measure of risky portfolios when the joint distribution of the … improved bounds when the bivariate distributions of each of the risky components and a risk factor are known. When the factor …, the unconstrained dependence uncertainty spreads of Expected Shortfall, Value-at-Risk and the expectile are compared …