Use the Black-Scholes formula for the following stock: Time to expiration Standard deviation Exercise price Stock price Annual interest rate Dividend 6 months 43% per year $58 $57 2% 0 Calculate the value of a call option. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of a call option
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![Use the Black-Scholes formula for the following stock:
Time to expiration
Standard deviation
Exercise price
Stock price
Annual interest rate
Dividend
6 months
43% per year
$58
$57
2%
0
Calculate the value of a call option. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Value of a call option](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4c22d5a-aa06-4c1d-bea3-96265871c07b%2F57c1e4bb-9754-46b5-b037-595c716d8fa0%2F7syldv9_processed.jpeg&w=3840&q=75)
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- 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 Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value GA $ $ $ 48 60 0.07 0.04 0.50 0.26Use the Black-Scholes formula to find the value of a call option based on the following inputs. Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Stock price Exercise price Interest rate Dividend yield Time to expiration Standard deviation of stock's returns Call value $ 51 $ 64 0.068 0.04 0.50 0.265Use the Black-Scholes formula for the following stock: Time to expiration Standard deviation Exercise price Stock price Interest rate |||||||||| Value of a call option = = 6 months 56 % per year 55 = 54 6% Calculate the value of a call option. (Do not round intermediate calculations. Round your answer to 2 decimal places. Omit the "S" sign in your response.)
- What are the prices of a call option and a put option with the following characteristics? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Stock price Exercise price Risk-free rate Maturity Standard deviation Call price Put price = $81 = $75 3.60% per year, compounded continuously = 5 months = 57% per yearWhat are the prices of a call option and a put option with the following characteristics? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Stock price=$79Exercise price=$75Risk-free rate=3.50% per year, compounded continuouslyMaturity=5 monthsStandard deviation=58% per yearConsider shorting a call option c on a stock S where S = 24 is the value of the stock, K = 30 is the strike price, T = ½ is the expiration date, r = 0.04 is the continuously compounded interest rate per year, and = 0.3 is the volatility of the price of the stock. Determine the delta ratio Δ .
- What are the prices of a call option and a put option with the following characteristics? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Stock price = $76 Exercise price = $75 Risk-free rate = 4.50% per year, compounded continuously Maturity = 4 months Standard deviation = 63% per year Call price $ Put price $What are the prices of a call option and a put option with the following characteristics? (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.) Stock price = $74 Exercise price = $70 Risk-free rate= Call price Put price 4.40% per year, compounded continuously Maturity = 4 months Standard deviation = 62% per yearCalculate the value of a call option for the following stock. Use the Black-Scholes formula. Time to expiration Standard deviation Exercise price Stock price Annual interest rate Dividend 6 months 50% per year $50 $50 3% 0 (Do not round intermediate calculations. Round your answer to 2 decimal places.) Value of a call option
- Consider two put options on different stocks. The table below reports the relevant information for both options: Put optionTime to maturityCurrent price of underlying stockStrike priceVolatility ( )X1 year$27$1830%Y1 year$25$2030%All else equal, which put option has a lower premium? A.Put option Y B.Put option XUse the Black-Scholes formula for the following stock: Time to expiration Standard deviation Exercise price 6 months 51% per year $41 $39 Annual interest rate 6% Dividend 0 Stock price Calculate the value of a put option. Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Value of a put optionYou are given the following information concerning options on a particular stock: Stock price= Exercise price= Risk-free rate= Maturity= Standard deviation= $83 Intrinsic value=$ $80 6% per year, compounded continuously 6 months 47% per year (a)What is the intrinsic value of the call option? (Please keep two digits after the decimal point.) (b)What is the time premium of the call option? (Please keep two digits after the decimal point.) Time premium of the call option=$
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