We study how investors' disagreement on firm's future cash flows affect the joint behavior of credit spreads, option implied volatilities, and stock returns. We find several important features that can help to explain the dynamics of credit spreads. First, beliefs heterogeneity impacts on the pricing kernel in a way that supports more realistic corporate credit spreads. Second, it induces a positive co--movement between credit spreads, stock returns volatility and the option implied volatility. Third, we obtain an endogenous interaction between option implied volatility skew and leverage, which offers a structural explanation for the inverted volatility skew of some single-stock options. Fourth, the model helps to rationalize both the negative (positive) delta of some call (put) options and the positive link between credit spreads and some individual stock prices. We test the main model predictions in a set of panel regressions, by matching four data sets of firm--specific information on professional earning forecasts, balance-sheet data, corporate bond spreads, stock returns and individual option prices. We find that disagreement among investors impacts on credit spreads, the volatility smile of individual options and stock returns in a way that is consistent with our model, even after controlling for other control variables. Moreover, it has explanatory power for the violations of arbitrage--free restrictions of single--factor models in the data, which are found to have a similar leverage-dependent structure as in our model.
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