Compute the Black-Scholes price of three (in-the-money, at-the-money, and out-of-the-money) call options on the SP500 index by

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Compute the Black-Scholes price of three (in-the-money, at-the-money, and out-of-the-money) call options on the SP500 index by using the unconditional variance of the SP500 returns. How good is the approximation?
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