Problem 2. (Black-Scholes formula, 12') Use the Black-Scholes formula for calculations and show your steps. When evaluating N(z), use the values in the attached N(z) table. a. What is the price of a $35 strike European call? Assume the current stock price is $38.50, the annual volatility is 0.25, the annualized continuously compounding interest rate is 6%, the stock pays no dividend, and the option expires in 45 days (assume 365 days a year). (6') b. What is the price of a $30 strike European put? Assume the current stock price is $28.50, the annual volatility is 0.32, the annualized continuously compounding interest rate is 0.04, the stock pays a 1.0% continuous dividend, and the option expires in 110 days. (Assume 365 days a year). (6')

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
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Problem 2. (Black-Scholes formula, 12') Use the Black-Scholes formula for calculations and
show your steps. When evaluating N(z), use the values in the attached N(z) table.
a. What is the price of a $35 strike European call? Assume the current stock price is
$38.50, the annual volatility is 0.25, the annualized continuously compounding
interest rate is 6%, the stock pays no dividend, and the option expires in 45 days
(assume 365 days a year). (6')
b. What is the price of a $30 strike European put? Assume the current stock price is
$28.50, the annual volatility is 0.32, the annualized continuously compounding
interest rate is 0.04, the stock pays a 1.0% continuous dividend, and the option expires
in 110 days. (Assume 365 days a year). (6')
Transcribed Image Text:Problem 2. (Black-Scholes formula, 12') Use the Black-Scholes formula for calculations and show your steps. When evaluating N(z), use the values in the attached N(z) table. a. What is the price of a $35 strike European call? Assume the current stock price is $38.50, the annual volatility is 0.25, the annualized continuously compounding interest rate is 6%, the stock pays no dividend, and the option expires in 45 days (assume 365 days a year). (6') b. What is the price of a $30 strike European put? Assume the current stock price is $28.50, the annual volatility is 0.32, the annualized continuously compounding interest rate is 0.04, the stock pays a 1.0% continuous dividend, and the option expires in 110 days. (Assume 365 days a year). (6')
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