**Using the Black-Scholes Formula to Calculate Call Option Value**To determine the value of a call option, apply the Black-Scholes formula using the input data provided below. Please ensure that all intermediate calculations are not rounded. The final answer should be rounded to two decimal places as instructed.- **Stock Price:** $54- **Exercise Price:** $63- **Interest Rate:** 0.082 (or 8.2%)- **Dividend Yield:** 0.04 (or 4%)- **Time to Expiration:** 0.50 years- **Standard Deviation of Stock’s Returns:** 0.260To proceed with the calculation, input your result in the field labeled "Call value."

A call option refers to a derivative instrument that provides the holder with the choice of…

Use 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 $ 54 $ 63 0.082 0.04 0.50 0.260

Use 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 $ 54 $ 63 0.082 0.04 0.50 0.260

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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In follow an Ito process with >0, a stock is worth $80 today, if the price of an option that pays the holder $2 exactly the first time the stock price reaches $200, what is the price of an option? Show all calculation.
You buy a share of stock, write a 1-year call option with X = $55, and buy a 1-year put option with X = $55. Your net outlay to establish the entire portfolio is $54. The stock pays no dividends. a. What is the payoff of your portfolio? Payoff b. What must be the risk-free interest rate? (Round your answer to 2 decimal places.) Risk-free rate %
What is the value of a call option if the underlying stock price is $112, the strike price is $105, the underlying stock volatility is 39 percent, and the risk-free rate is 6.1 percent? Assume the option has 128 days to expiration. (Round your answer to 2 decimal places. Omit the "$" sign in your response.) Call option $
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.
If the stock price increases, the price of a put option on that stock ________ and that of a call option _________. decreases, increases decreases, decreases increases, decreases increases, increases
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
Assume that you hold a call option on stock A. The call has a strike price of 50 and expires in 6 months. Stock A pays no dividends. 1. What is the payoff from the call if stock A is trading at 57 in 6 months? 2. What is the payoff from the call if stock A is trading at 45 in 6 months? 3. Draw a payoff diagram that shows the payoff of the call as a function of the underlying stock price.
Use 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.)
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. $
Assume that you have been given the following information on Purcell Corporation's call options: Inputs Intermediate Calculations Current stock price = $12 d1 = 0.32863 Time to maturity of option = 9 months d2 = 0.05477 Variance of stock return = 0.10 N(d1) = 0.62878 Strike price of option = $12 N(d2) = 0.52184 Risk-free rate = 7% According to the Black-Scholes option pricing model, what is the option's value? Do not round intermediate calculations. Round your answer to the nearest cent. Use only the values provided in the problem statement for your calculations. $
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

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