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A leveraged S&P 500 ETF
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An inverse S&P 500 ETF
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A S&P 500 ETF
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A leveraged inverse S&P 500 ETF
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- Betas Answer the questions beiow for assets A to D shown in the following table. Asset Beta so B 1.60 - 20 D .90 a. What impact would a 10% increase in the market return be expected to have on each asser's return? b. What impact would a 10% decrease in the market return be expected to have on each asser's return? c. If you were certain that the market retum would increase in the near future, which asset would you prefer? Why? d. If you were certain that the market return would decrease in the near future, which asset would you prefer? Why?Suppose the risk-free rate is 5%. The expected return and standard deviation of a risky asset are 10% and 20%, respectively. a. What is the slope of the capital allocation line (CAL) constructed using the risk-free asset and the risky asset? A. 0.30 B. 0.15 C. 0.25 D. 0.20 b. If an investor has a risk aversion coefficient of A=2, what is the optimal fraction of the money that she invests in the risky asset? A. 62.5% B. 42.5% C. 30% D. 20% c. If an investor invest 25% of her money in the risky asset, which is the investor’s risk aversion coefficient? a. 5 b. 1 c. 3 d. 4Which of the following is correct? O A. Common stock valuation usually treats the common stock as a perpetuity. OB. The appropriate measure for risk according to the capital asset pricing model is beta. OC. The present value of a $100 perpetuity discounted at 5% is $2,000. OD. The incremental cost is the cost of making a choice defined in terms of the next best alternative that is foregone. OE. Both B and C.
- assume that an individual investor wants to select one market segment for a new investment. a forecast shows stable to declining economic conditions with the following probabilities: improving (0.2), stable (0.5), and declining (0.3). what is the preferred market segment for the investor, and what is the expected return percentage?Manipulating CAPM Use the basic equation for the capital asset priding model (CAPM) to work each of the following problems. a. Find the required return for an asset with a beta of 1.63 when the risk-tree rate and market return are 5% and 13%, respectively b. Find the risk-free rate for a firm with a required return of 14.363% and a beta of 1.07 when the market return is 14%. C. Find the market return for an asset with a required return of 9.045% and a beta of 1.57 when the risk-free rate is 3%. d. Find the beta for an asset with a required return of 10.255% when the risk-free rate and market retum are 6% and 9.7%, respectively a. The required return for an asset with a beta of 1.63 when the risk-free rate and market return are 5% and 13%, respectively, is % (Round to two decimal places.)Suppose an investor is concerned about a business choice in which there are three projects, the probability and returns are given below. Probability Return 0.4 $100 0.4 40 0.2 -30 The expected value of the uncertain investment is $ ----------- (round off to the nearest dollar
- Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .A particular firm’s portfolio is composed of two assets, which we will call" A" and "B." Let X denote the annual rate of return from asset A, and let Y denote the annual rate of return from asset B. Suppose that E(X) = 0.15, E(Y) = 0.20, SD (X) = 0.05, SD (Y) = 0.06, and CORR (X, Y) = 0.30. Use a spreadsheet to perform the following analysis. (a) What is the expected return of investing 50% of the portfolio in asset A and 50% of the portfolio in asset B? What is the variance of this return? (b) Replace CORR (X, Y) = 0.30 by CORR (X, Y) = 0.60, 0, -0.30, and -0.60 and answer the questions in part (a). What is the impact of correlation on the expected returns and its variance? Explain why this is so. (c) Suppose that the fraction of the portfolio that is invested in asset B is f, and so the fraction of the portfolio that is invested in asset A is (1 – f). Let f vary from f = 0.0 to f = 1.0 in increments of 5% (that is, f = 0.0, 0.05, 0.10, 0.15, ...), and compute the mean and the…Capital asset pricing model (CAPM) For the asset shown in the following table, use the capital asset pricing model to find the required return. (Click on the icon here O in order to copy the contents of the data table below into a spreadsheet.) ne Risk-free Market rate, R return, rm Beta, b nts 4% 0.7 1% The required return for the asset is %. (Round to two decimal places.) eТext edia Librai ial Calculat er Resource Enter your answer in the answer box and then click Check Answer. Check Answer mic Study ules Clear All All parts showing 10: DExercise(14); ools > This course (Introduction to Finance (FIN-101-D02) Distance Spring 2021) is hased on Zutter/Smart Princinles of Managerial Finance Rrief Re 4/13 O Type here to search insert
- Use the basic equation for the capital asset pricing model (CAPM) to work each of the following problems. a. Find the required return for an asset with a beta of 1.65 when the risk-free rate and market return are 8% and 14%, respectively. b. Find the risk-free rate for a firm with a required return of 11.366% and a beta of 1.29 when the market return is 10%. c. Find the market return for an asset with a required return of 7.711% and a beta of 0.89 when the risk-free rate is 4%. d. Find the beta for an asset with a required return of 6.552% when the risk-free rate and market return are 6% and 8.4%, respectively.Use the basic equation for the capital asset pricing model (CAPM) to find therequired return for an asset with a beta of 2.20 when the risk-free rate and market return are 8% and12%, respectively.The risk-free rate is currently 3.3%, and the market return is 14.8%. Assume you are considering the following investments: Investment Beta A 1.54 B 1.16 C 0.51 D 0.11 E 2.14 . a. Which investment is most risky? Least risky? b. Use the capital asset pricing model (CAPM) to find the required return on each of the investments. c. Find the security market line (SML), using your findings in part b. d. On the basis of your findings in part c, what relationship exists between risk and return? Explain.