Nonlinearity is an important consideration in many problems of finance and economics, such as pricing securities, computing equilibrium, and conducting structural estimations. We extend the transform analysis in Duffie, Pan, and Singleton (2000) by providing analytical treatment of a general...

Hedge fund managers are compensated via management fees on the assets under management (AUM) and incentive fees indexed to the high-water mark (HWM). We study the effects of managerial skills (alpha) and compensation on dynamic leverage choices and the valuation of fees and investors' payoffs....