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The following program is designed to calculate the present value of a specific type of options according to Black-Scholes-Merton model. The arguments are as follows:
The following program is designed to calculate the present value of a specific type of options according to Black-Scholes-Merton model. The arguments are as follows: 50: stock price, K: strike price, T: time to expiry, r: risk-free interest rate, sigma: standard deviation of stock returns. Line # >>> def bsm_option_price(80, K, T, I, sigma, option = 'call): 1 d1 = (np.log(S0 / K) + ( + 0.5 * sigma ** 2) * T) / (sigma * math.sqrt (T) 2 d2 - (np.log(50 / K) + (r - 0.5.sigma ** 2) T) / (sigma * math.sqrt(T)) if option 'call': - (50*stats.norm.cdf (d1, 0.0, 1.0)) -K*np.exp(-r*T)*stats.norm.cdf (d2, 0.0, 1.0) 5 else: 6 v = K*np.exp(-r*T)*stats.norm.cdf(-1*d2, 0.0, 1.0) - (50*stats.norm.cdf (-1*d1, 0.0, 1.0)) 7 >>> return v 8 If we'd like this program to be capable of calculating and outputting the present value of European put options, then we should A. Replace "so" with "ST" at line 1. B. Replace "return v" with "return option" in line 8. C. In addition to replacing "option = 'call'" with "option = 'put'" at line 1 and at line 4, line 5 should be replaced with: K-np.exp(-r*T)*stats.norm.cdf (d2, 0.0, 1.0)-(S0*stats.norm.cdf (di, 0.0, 1.0)) D."di" in line 2 should be replaced with "d2", and "d2" in line 3 should be replaced with "di". E. No change is needed, if argument for option is entered as 'put' next time the function is called, it will calculate the European put price
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