# Black-Scholes Option Pricing Model: Call option

could you please help me with this problem.

Can I find the probabilities using Excel?

A firm wants one to show what they know about the Black-Scholes option pricing model through finding the call price of an U.S call option with the following characteristics:

stock price = $60

exercise price = $60

risk-free rate is 12%

volatility (variance of stock returns) = 9% per year

time to maturity = 6 months

https://brainmass.com/business/black-scholes-model/black-scholes-option-pricing-model-call-option-510181

#### Solution Preview

Thanks for using BrainMass.com. I hope that this helps you with your assignment.

The Black-Scholes model is used to build a riskless hedge, where the investor will earn the risk-free rate.

Step 1. Using the Black-Scholes Option Pricing Model, calculate the current value of a call option = V= P[N(d_1 )]-Xe^(-rrf)(t) [N(d_2 )]

d_1=(ln(P/X)+[rrf+(sigma2/2)]t)/(sqrt sigma*t) and d_2=d_1-Vsigmat

Where P = current price of the underlying stock, X = ...

#### Solution Summary

This solution explains in-detail how to solve the price of a call option using the Black-Scholes Option Pricing Model. The solution outlines each step of the pricing model and explains how the probabilities can be found using Excel.