Use the Black-Scholes formula to find the value of a call option based on the following inputs. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Stock price Exercise price $ $ 54 63 Interest rate 0.082 Dividend yield Time to expiration 0.04 0.50 Standard deviation of stock's returns 0.260
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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 0.265Assume the expected return on the market is 7 percent and the risk-free rate is 4 percent. a. What is the expected return for a stock with a beta equal to 1.10? (Enter your answers in decimals. Do not enter percent values.) b. What is the market risk premium? (Enter your answers in decimals. Do not enter percent values.)
- Consider the three stocks in the following table. Pt represents price at time t, and ot represents shares outstanding at time t. Stock C splits two for one in the last period. Stock Po P1 21 75 65 75 75 75 55 150 50 150 50 150 110 150 115 150 60 300 A B с с 20 75 P2 a. Rate of return b. Rate of return Required: Calculate the first-period rates of return on the following indexes of the three stocks (t=0 to t= 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. 22 % %Consider the three stocks in the following table. Pt represents price at time t, and ot represents shares outstanding at time t. Stock C splits two for one in the last period. Stock Po A 50 B 45 с 90 120 20 P1 a. Rate of return b. Rate of return 21 60 60 60 120 35 120 95 120 02 60 60 35 120 50 240 P2 Required: Calculate the first-period rates of return on the following indexes of the three stocks (t = 0 to t = 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. % %If Stock Z is correctly priced, you can infer that the expected market return is ____%. Do not round any intermediate work, but round your final answer to 2 decimal places (example: enter 12.34 for 12.34%). Do not enter the % sign. Margin of error for correct responses: +/- .05 expected return (implied by market price) Beta Stock Z 12% 1.48 T-bonds 5%
- 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 $72 price Exercise price = $70 Risk-free rate = deviation of Option maturity = 4 months Standard annual stock returns = Call price Put price 4.3% per year, compounded continuously = 61% per yearII. Suppose you have the following information concerning a particular options.Stock price, S = RM 21Exercise price, K = RM 20Interest rate, r = 0.08Maturity, T = 180 days = 0.5Standard deviation, = 0.5 a. What is correct of the call options using Black-Scholes model? b. Compute the put options price using Black-Scholes model? c. Outline the appropriate arbitrage strategy and graphically prove that the arbitrage is riskless.Note: Use the call and put options prices you have computed in the previous question (a) and (b) above.b. Name the options/stock strategy used to proof the put-call parity. c. What would be the extent of your profit in (a) depend on?A stock's return has the following distribution: Demand for theCompany's Products Probability of ThisDemand Occurring Rate of Return if ThisDemand Occurs (%) Weak 0.1 -20 % Below average 0.2 -8 Average 0.4 17 Above average 0.2 35 Strong 0.1 65 1.0 Calculate the stock’s expected return and standard deviation. Do not round intermediate calculations. Round your answers to two decimal places. Expected return: % Standard deviation: %
- Astromet is financed entirely by common stock and has a beta of 1.20. The firm pays no taxes. The stock has a price-earnings multiple of 11.0 and is priced to offer a 10.9% expected return. The company decides to repurchase half the common stock and substitute an equal value of debt. Assume that the debt yields a risk-free 4.6%. Calculate the following: Required: a. The beta of the common stock after the refinancing b. The required return and risk premium on the common stock before the refinancing c. The required return and risk premium on the common stock after the refinancing d. The required return on the debt e. The required return on the company (i.e, stock and debt combined) after the refinancing If EBIT remains constant: f. What is the percentage increase in earnings per share after the refinancing? g-1. What is the new price-earnings multiple? g-2. Has anything happened to the stock price? Complete this question by entering your answers in the tabs below. Reg A to E Reg F to G2…A stock has a required return of 15%, the risk-free rate is 7.5%, and the market risk premium is 5%. a. What is the stock's beta? Round your answer to two decimal places. 0.85 b. If the market risk premium increased to 7%, what would happen to the stock's required rate of return? Assume that the risk-free rate and the beta remain unchanged. Do not round intermediate calculations. Round your answer to two decimal places. I. If the stock's beta is less than 1.0, then the change in required rate of return will be greater than the change in the market risk premium. II. If the stock's beta is greater than 1.0, then the change in required rate of return will be less than the change in the market risk premium. III. If the stock's beta is equal to 1.0, then the change in required rate of return will be greater than the change in the market risk premium. IV. If the stock's beta is equal to 1.0, then the change in required rate of return will be less than the change in the market risk premium.…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 = $74 price Exercise price = $70 Risk-free rate = Option maturity = 4 months Standard deviation of annual stock returns 4.4% per year, compounded continuously Call price Put price = 62% per year