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 $35, (3) time to expiration is 7 months, (4) annualized risk-free rate is 5%, and (5) variance of stock return is 0.09. 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: (1) current stock price is $30, (2) strike price is $35, (3) time to expiration is 7 months, (4) annualized risk-free rate is 5%, and (5) variance of stock return is 0.09. Do not round intermediate calculations. Round your answer to the nearest cent. $

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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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. $
1.
Stock A has a beta of 1, the risk-free rate is 4% and the return on the market is 9%. If the market risk premium changes by 7%, by how much will the required return on Stock A change? (i.e. required return after change - required return before the change) answer format: show your answer in percent (without the % sign) and to 1 decimal place. For example, 12.56 should be shown as 12.6
Start with A-C and I will submit seperately for D! Thank you :)
Consider 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 .
Stocks A and B have the following probability distributions of expected future returns: a. Calculate the expected rate of return, B, for Stock B (A = 12.50%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 20.90%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. III. If Stock B is less highly correlated with…
An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free rate is 5%, the expected return on the first factor (r₁) is 14%, and the expected return on the second factor (r2) is 8%. If bil 0.5 and bi2 = 0.8, what is Crisp's required return? Do not round intermediate calculations. Round your answer to one decimal place. % =
Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (5 %) (38 %) 0.2 5 0 0.5 14 21 0.1 23 27 0.1 28 38 Calculate the expected rate of return, , for Stock B ( = 12.60%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 20.20%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Assume the risk-free rate is 2.5%. What are the Sharpe ratios for Stocks A and B? Do not round intermediate calculations. Round your answers to four decimal places. Stock A: Stock B:
Assume the following inputs for a call option: (1) current stock price is $23, (2) strike price is $28, (3) time to expiration is 5 months, (4) annualized risk-free rate is 5%, and (5) variance of stock return is 0.3. The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the question below. Use the Black-Scholes model to find the price for the call option. Do not round intermediate calculations. Round your answer to the nearest cent.
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.
Stocks A and B have the following probability distributions of expected future returns: Probability B A 0.1 (6%) (38%) 0.1 4 0 0.6 14 24 0.1 24 27 0.1 37 43 a. Calculate the expected rate of return, ^B, for Stock B (A = 14.30%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, OA, for Stock A (σB = 20.93%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A. and hence be less risky in a portfolio sense.

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