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In this study we re-examine the pricing of equity and the risk incentives of shareholders in levered firms. We derive a down-and-out call equity valuation model which rests on the assumption that shareholders choose the optimal investment and asset returns' volatility as a function of current leverage. Contrarily to the Black and Scholes framework where, irrespective of the firm's leverage, they would always select infinite volatility projects, here the more deep out-of-the-money the shareholders' claim, the greater their incentives to select riskier investment projects. The model is thus consistent with and quantifies the asset substitution problem previously acknowledged by the agency literature.Agency Problems, Asset Substitution, Contingent Claim, Down-and-out Call Option, Capital Structure, Leverage, Risk Incentives,

Abstract. This study examines the informational feedback effects associated to the listing and trading of derivatives in Switzerland. The observed changes in the price and higher moments of stock returns are representative of a thin stock market. The listing of stock options and index futures generated positive abnormal returns for large stocks and for the index while small stocks essentially benefited from the launching of index options. While reducing the variance of blue chips and of the index, their variance's stochasticity increased (decreased) at index options' (futures) listings. Finally, we detect significant stock and index derivatives' price leads which do not however generate arbitrage opportunities.

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This study compares the performance of the ISD, the GARCH(1,1), the historical volatility estimates and of two lagged trading volume measures for predicting the Swiss Stock Market Index's (SMI) volatility. The ISD has a superior daily informational content than the GARCH(1,1) estimate and retains unbiased but decreasing explanatory power over up to 20 days ahead horizons. Mean and spread daily volume measures play a significant correcting role when forecasting stock market volatility over daily and longer intervals respectively and clearly dominate the GARCH(1,1) forecasts. Their significance emphasises heterogeneous horizon traders' influence on the SMI volatility time series properties