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This paper analyzes the pricing of stock index options in a simple general equilibrium model. In this model, the volatility of the stock index and the spot rate of interest are functions of a stochastic variable. The paper investigates the biases that arise when using the Black-Scholes model with the assumed volatility and interest rate dynamics. It is shown that the model can, in principle, explain the biases observed in empirical work on stock index options.
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Bailey et al. (1989) studied this question.
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