This paper proposes “implied stochastic volatility models” designed to fit option-implied volatility data and implements a new estimation method for such models. The method is based on explicitly linking observed shape characteristics of the implied volatility surface to the coefficient functions that define the stochastic volatility model. The method can be applied to estimate a fully flexible nonparametric model, or to estimate by the generalized method of moments any arbitrary parametric stochastic volatility model, affine or not. Empirical evidence based on S&P 500 index options data show that the method is stable and performs well out of sample.

Corporate donations to charities affiliated with the board’s independent directors (affiliated donations) are large and mostly undetected due to lack of formal disclosure. Affiliated donations may impair independent directors’ monitoring incentives. CEO compensation is on average 9.4% higher at firms making affiliated donations than at other firms, and it is much higher when the compensation committee chair or a large fraction of compensation committee members are involved. We find suggestive evidence that CEOs are unlikely to be replaced for poor performance when firms donate to charities affiliated with a large fraction of the board or when they donate large amounts.