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Question 6 [ 6 marks ] Consider Barrack Industries, for which the following financial data is provided: Current Share Price: R 1 5 0 Strike

Question 6[6 marks]
Consider Barrack Industries, for which the following financial data is provided:
Current Share Price: R150
Strike Price of the Option: R150
Risk-Free Rate: 6%
Variance of Share Returns: 0.12
a) Use the given data to calculate the values of d1 and d2 using the Black-Scholes model. Please detail your calculations for full credit. (3)
b) Given that N(d1)=0.59675 and N(d2)=0.50000, calculate the value of a European call option on Barrack Industries' shares. Clearly state any assumptions you make and explain how they affect the option's value. (3)
Hint: The Black-Scholes model requires the assumption of European options (which can only be exercised at expiration), no dividends, constant risk-free interest rate, and log-normal distribution of asset prices.

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