Please show every math step.

An analyst is interested in using the Black-Scholes model to value call options on the stock of Ledbetter Inc. The analyst has accumulated the following information: . The price of the stock is $40 The strike price is $40. . The option matures in 3 months (t 0.25) The standard deviation of the stock's returns is 0.40 and the variance is 0.16. The risk-free rate is 12 percent. Using the Black-Scholes model, what is the value of the call option? A. $1.88 B. $2.48 C. $3.76 D. $4.20 E. $5.12