Question

In: Finance

Find the Black-Scholes price of a six-month call option written on €100,000 with a strike price...

Find the Black-Scholes price of a six-month call option written on €100,000 with a strike price of $1.0000/€. The current exchange rate is $1.125/€. The U.S. risk-free rate is 2 percent over the period and the euro-zone risk-free rate is 1 percent. The volatility of the underlying asset is 10.5 percent.

  

$0.1309/€

   

$0.1682/€

   

$0.1452/€

   

$0.0016/€

Solutions

Expert Solution

Strike Price = $1.00/Euro

Stock Price = $1.125/Euro

Risk Free Rate in $ = 2%

Risk Free Rate in Euro = 1%

Volatility = 10.5%

Time to Maturity = 6 Months i.e. 0.5 Years

Net Risk Free Rate = 2% - 1% = 1%

Value of Call Option would be $0.13 / Euro. Thus Option (a) i.e. $13.09 / Euro is correct.


Related Solutions

Black-Scholes Model Use the Black-Scholes model to find the price for a call option with the...
Black-Scholes Model Use the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $28, (2) strike price is $37, (3) time to expiration is 2 months, (4) annualized risk-free rate is 5%, and (5) variance of stock return is 0.36. Do not round intermediate calculations. Round your answer to the nearest cent.
Use the Black-Scholes model to find the price for a call option with the following inputs:...
Use the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $30, (2) strike price is $36, (3) time to expiration is 6 months, (4) annualized risk-free rate is 7%, and (5) variance of stock return is 0.16. Do not round intermediate calculations. Round your answer to the nearest cent.
3. Use the Black-Scholes model to find the price for a call option with the following...
3. Use the Black-Scholes model to find the price for a call option with the following inputs: 1) current stock price is $30, 2) Strike price is 32, 3) Time expiration is 4 months, 4) annualized risk-free rate is 5%, and 5) standard deviation of stock return is 0.25.
Use the Black-Scholes model to find the price for a call option with the following inputs:...
Use the Black-Scholes model to find the price for a call option with the following inputs: (1) current stock price is $45, (2) exercise price is $50, (3) time to expiration is 3 months, (4) annualized risk-free rate is 3%, and (5) variance of stock return is 0.50. AND based on the information above, find the value of a put with a $50 exercise price. (SHOW CALCULATIONS PLEASE)
Use the Black–Scholes formula to value the following option: A call option written on     a stock...
Use the Black–Scholes formula to value the following option: A call option written on     a stock selling for $60 per share with a $60 exercise price. The stock's standard     deviation is 6% per month. The option matures in three months. The risk-free      interest rate is 1% per month.               What is the value of a put option written on the same stock at the same            time, with the same exercise price and expiration date.
Use the Black-Scholes formula to find the value of a call option based on the following...
Use the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price $ 36.00 Exercise price $ 45.00 Interest rate 6.00 % Dividend yield 5.00 % Time to expiration 0.5833 Standard deviation of stock’s returns 49.00 % Call value            $ ?
Use the Black-Scholes formula to find the value of a call option based on the following...
Use the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price $ 53.00 Exercise price $ 51.00 Interest rate 5.00 % Dividend yield 3.00 % Time to expiration 0.2500 Standard deviation of stock’s returns 38.00 % Call value            $
Use the Black-Scholes formula to find the value of a call option based on the following...
Use the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price $ 39.00 Exercise price $ 31.00 Interest rate 6.00 % Dividend yield 1.00 % Time to expiration 0.9167 Standard deviation of stock’s returns 26.00 % Call value    
Use the Black-Scholes formula to find the value of a call option based on the following...
Use the Black-Scholes formula to find the value of a call option based on the following inputs. (Round your final answer to 2 decimal places. Do not round intermediate calculations.) Stock price $ 38.00 Exercise price $ 40.00 Interest rate 3.00 % Dividend yield 5.00 % Time to expiration 0.7500 Standard deviation of stock’s returns 40.00 % Call value            $
Use the Black-Scholes model to estimate the price of a call option. Here are the input....
Use the Black-Scholes model to estimate the price of a call option. Here are the input. S = £40, E = £35, t = 6 month, Rf = 8% = 0.08, σ = std = 0.31557. b) What is the price of a put option? c) ABB call and put options with an exercise price of £17 expire in 4 months and sell for £2.07 and £2.03, respectively. If the equity is currently priced at £17.03, what is the annual...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT