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Answers for “为什么在这一节中不需要推导布莱克-斯科尔斯-默顿公式?”

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The Black-Scholes-Merton formula for a European call option price is C=S0N(d1)−Xe−rTN(d2)C = S_0 N(d_1) - X e^{-rT} N(d_2). In this formula, S0S_0 is the current stock price, XX is the strike price, rr is the risk-free interest rate, TT is the time to maturity, N(⋅)N(\cdot) is the cumulative distribution function of the standard normal distribution, and d1d_1 and d2d_2 are intermediate variables.

Conditions: The option is a European call option.; The underlying asset pays no dividends during the life of the option.

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No, you generally do not need to compute the values of the standard normal cumulative distribution function N(d1)N(d_1) and N(d2)N(d_2) yourself. In typical exams or exercises, these values are usually provided directly, or you are allowed to simply write the expression containing N(d)N(d) without computing the final numerical result.

Conditions: The context is standard exams or practice problems for option pricing.; The problem requires evaluating the Black-Scholes-Merton formula.