a) Write the payoff of the European call option with strike price K. b) Assume d = 5, r = 0.2, d₁ = 3, d₂ = 8, K = 7. Find the price of the option. c) Find the replicating strategy for the option.
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- Suppose you observe the following situation on two securities:Security Beta Expected Return Pete Corp. 0.8 0.12 Repete Corp. 1.1 0.16 Assume these two securities are correctly priced. Based on the CAPM, what is the return on the market?Using the data generated in the graph, show what the information looks like in a spreadsheet. a) Plot the Security Market Line (SML) b) Superimpose the CAPM’s required return on the SML c) Indicate which investments will plot on, above, and below the SML? d) If an investment’s expected return (mean return) does not plot on the SML, what does it show? Identify undervalued/overvalued investments from the graph.An investment Analysist provide the following data regarding the possible future returns on AmDa’s common stock State of economy Probability ReturnRecession 0.25 -1.4%Normal 0.45 9.4%Boom 0.30 15.4%i. Compute the expected return on the security? ii. Compute the standard deviation on the security? iii. Compute the Coefficient of variation
- The Macaulay duration is the weighted average number of coupon periods until a bond’s scheduled cash flows. Select one: True FalseGiven the following probability distributions, what are the expected returns for the Market and for Security J? Statei Pr i rM rJ 1 0.3 −10% 40% 2 0.4 10 −20 3 0.3 30 30The metric that is used to show the extent to which a given stock’s return move up and down with the stock market? a. Correlation b. Beta c. Standard deviation d. Expected return
- Assume that security returns are generated by the single-index model,Ri = αi + βiRM + eiwhere Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 0.7 7 % 20 % B 0.9 9 6 C 1.1 11 15 a. If σM = 16%, calculate the variance of returns of securities A, B, and C. b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)The table below contains the covariance matrix of stock returns and the market. Assume that the assumptions of CAPM hold. 1. Find the market risk. 2. Find the systematic risk of BlueChip.Suppose that there are many stocks in the security market and that the characteristics of stocks A and B are given as follows: Stock Expected Return Standard DeviationA 10% 5%B 15% 10%Correlation = -1 Suppose that it is possible to borrow at the risk-free rate, rf. What must be the value of the risk-free rate? a. The weight of Stock A in the portfolio: Blank 1. Fill in the blank, read surrounding text. b. The weight of Stock B in the portfolio: Blank 2. Fill in the blank, read surrounding text.c. The Expected rate of return of the portfolio: Blank 3. Fill in the blank, read surrounding text.d. The risk-free rate is: Blank 4. Fill in the blank, read surrounding text.
- When working with the CAPM, which of the following factors can be determined with the most precision? a. The beta coefficient of "the market," which is the same as the beta of an average stock. b. The beta coefficient, bi, of a relatively safe stock. c. The market risk premium (RPM). d. The most appropriate risk-free rate, rRF. e. The expected rate of return on the market, rM.The market and Stock J have the following probability distributions: Probability rM rJ 0.3 15.00 % 19.00 % 0.4 10.00 6.00 0.3 18.00 10.00 The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below. Open spreadsheet Calculate the expected rate of return for the market. Do not round intermediate calculations. Round your answer to two decimal places.fill in the blank %Calculate the expected rate of return for Stock J. Do not round intermediate calculations. Round your answer to two decimal places.fill in the blank % Calculate the standard deviation for the market. Do not round intermediate calculations. Round your answer to two decimal places.fill in the blank %Calculate the standard deviation for Stock J. Do not round intermediate calculations. Round your answer to two decimal places.fill in the blank %An efficient capital market is best defined as a market in which security prices reflect which one of the following? Multiple Choice A Current inflation B A risk premium C All available information D The historical arithmetic rate of return E The historical geometric rate of return