We first derive a one-state-variable partial differential equation, easy to implement, which characterizes the price of a European type Asian option. This result is explained and related to previous literature. We then derive new results on the hedging of an Asian option and propose analytical and numerical analysis on the comparison between Asian and European options. Our methodology which applies to “fixed-strike” Asian options as well as to “floating-strike” Asian options completes and clarifies various results in the literature. In this paper we focus on “backward-starting” Asian options. Our approach is quite general however, and we explain how to adapt our main results to the case of “forward-starting” Asian options.

The on-going reform of the Basel Accord relies on three “pillars”: a new capital adequacy requirement, supervisory review and market discipline. This article develops a simple continuous-time model of commercial banks' behavior where interaction between these three instruments can be analyzed. We study the conditions under which market discipline can reduce the minimum capital requirements needed to prevent moral hazard. We also discuss regulatory forbearance issues.

We model the financing, cash holdings, and hedging policies of a firm facing financing frictions and subject to permanent and transitory cash flow shocks. The permanent and transitory shocks generate distinct, sometimes opposite, effects on corporate policies. We use the model to develop a rich set of empirical predictions. In our model, correlated permanent and transitory shocks imply less risk, lower cash savings, and a drop in the value of credit lines. The composition of cash-flow shocks affects the cash-flow sensitivity of cash, which can be positive or negative. Optimal hedging of permanent and transitory shocks may involve opposite positions. Received September 16, 2015; editorial decision July 3, 2016 by Editor Itay Goldstein.

We develop a dynamic model of a firm facing agency costs of free cash flow and external financing costs, and derive an explicit solution for the firm's optimal balance sheet dynamics. Financial frictions affect issuance and dividend policies, the value of cash holdings, and the dynamics of stock prices. The model predicts that the marginal value of cash varies negatively with the stock price, and positively with the volatility of the stock price. This yields novel insights on the asymmetric volatility phenomenon, on risk management policies, and on how business cycles and agency costs affect the volatility of stock returns.