Use the Black-Scholes formula for the following stock:Time to expirationStandard deviationExercise priceStock priceInterest rate||||||||||Value of a call option==6 months56 % per year55= 546%Calculate the value of a call option. (Do not round intermediate calculations. Round your answer to 2decimal places. Omit the "S" sign in your response.)

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Use the Black-Scholes formula for the following stock: Time to expiration Standard deviation Exercise price Stock price Interest rate = 6 months = 56% per year = 55 54 Value of a call option = II = 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.)

Use the Black-Scholes formula for the following stock: Time to expiration Standard deviation Exercise price Stock price Interest rate = 6 months = 56% per year = 55 54 Value of a call option = II = 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.)

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You are pricing options with the following characteristics: •Current stock price (St): $35.60 •Exercise price (X): $50 •Time to expiration (T-t): 9 months •Risk-free rate (rf): 3.25% •Volatility (0): 45% (a): What is the Black-Scholes value of call option? In your hand-written solution, provide the calculations of d1,d2, and the final call price. Use Excel or another spreadsheet program to compute the values of N(d1) and N(d2). See the notes for details. (b): Using put-call parity, what is the value of a put option? For this case, assume continuous compounding, which implies that PVt(X)=e-r(T-t).X.
Given the following information, predict the put option's new price after the stock's volatility changes. Initial put option price = $6 Initial volatility = 25% Vega = 13 New volatility = 18% (required precision 0.01 +/- 0.01) Greeks Reference Guide: Delta = ∂π/∂S Theta = ∂π/∂t Gamma = (∂2π)/(∂S2) Vega = ∂π/∂σ Rho = ∂π/∂r
A stock is currently priced at $35 and will move up by a factor of 1.18 or down by a factor of .85 each period over each of the next two periods. The risk-free rate of interest is 3 percent. What is the value of a put option with a strike price of $40? (Do not round Intermediate calculations. Round your answer to 2 decimal places.) please show in excel! thank you
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Please show step by step work (not in excel): What is the call option premium given the following information? What would happen to the call price if the company initiated and paid a dividend before the expiration of the option? What would happen to the call premium if the expiration of the option expanded beyond the current 9 months? Stock price $36.00 Strike price $30.00 Volatility 16% Dividend Yield 0.00 Time 0.75 Riskfree Rate 2.70%
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 $34, (3) time to expiration is 6 months, (4) annualized risk-free rate is 6%, and (5) variance of stock return is 0.09. Do not round intermediate calculations. Round your answer to the nearest cent. $
3 You are given the following information on some company's stock, as well as the risk- free asset. Use it to calculate the price of the call option written on that stock, as well as the price of the put option. (HINT: You should use the Black-Scholes formula!) (Do not round intermediate calculations and round your final answers to 2 decimal places, e.g., 32.16.) Today's stock - $77 price = Exercise price = $75 Risk-free rate = Option maturity = 5 months Standard deviation of annual stock returns Call price Put price $ $ 3.4% per year, compounded continuously = 59% per year 3.61 x 0.56 X 1
A stock is currently priced at $42 and will move up by a factor of 1.24 or down by a factor of .93 each period over each of the next two periods. The risk-free rate of interest is 3 percent. What is the value of a put option with a strike price of $51? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
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A stock is currently priced at 43.75 when options are about to expire. What is the net profit of a CALL option with a strike price of 45 for the BUYER of the option if the premium paid was 1.75? (per share) Group of answer choices 1.75 0.00 -2.25 -1.75 45.00
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 $32, (2) strike price is $37, (3) time to expiration is 3 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.
Consider the three stocks in the following table. P+ represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two-for-one in the last period. PO 98 58 100 51 103 e 200 116 200 53 126 100 200 200 103 100 53 63 200 400 Required: Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round Intermediate calculations. Round your answers to 2 decimal places.) a. A market value-weighted Index Rate of return An equally weighted index ate of return % %

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