We develop a framework for analyzing the capital allocation and capital structure decisions facing financial institutions. Our model incorporates two key features: (i) value-maximizing banks have a well-founded concern with risk management; and (ii) not all the risks they face can be frictionlessly hedged in the capital market. This approach allows us to show how bank-level risk management considerations should factor into the pricing of those risks that cannot be easily hedged. We examine several applications, including: the evaluation of proprietary trading operations, and the pricing of unhedgeable derivatives positions. We also compare our approach to the RAROC methodology that has been adopted by a number of banks.