We characterize a firm as a nexus of activities and projects with their associated cash flow distributions across states of the world and time periods. We propose a characterization of the firm where variations in the market price of risk induce adjustments in the value-maximizing combination of...

This paper proposes to extract tail risk from a risk-neutral mean-adjusted expected shortfall of high-frequency stock returns. Risk adjustment is based on a nonparametric estimator of the state price density that does not use option prices and relies solely on a stock index returns. This makes...