19 - Consider a well-diversified portfolio, A, in a two-factor economy. The risk-free rate is 6%, the risk premium on th first factor portfolio is 4%, and the risk premium on the second factor portfolio is 3%. If portfolio A has a beta ot 1.2 on the first factor and 0.4 on the second factor, what is its expected return? a) 8.0% b) 13.2% 12.0% d) 7.0% o1383176 9.2%
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- 5. Find the expected value assuming the risk factor is 30 % and the interest rate is 12% , if you will receive $20,000 one year from today.QUESTION 1 Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Compute the standard deviation of the returns on the portfolio assuming that the two stocks' returns are uncorrelated. 17.4%. 27.4%. 7.4%. 11.4%. QUESTION 2 Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Describe what happens to the standard deviation of the portfolio returns when the coefficient of correlation ρ decreases. The standard deviation of the portfolio returns decreases as the coefficient of correlation decreases. The standard deviation of the portfolio returns increases as the coefficient…5. You have been hired as a portfolio manager for a fancy hedge fund. Your first job is to invest $100,000 in a portfolio of two assets. The first asset is a safe asset with a certain return of 5%. The second asset is shares of a dying video-game store that has become popular with retail investors, it has a 20% expected rate of return, but the standard deviation of this return is 10%. Your manager wants a portfolio with as high a rate of return as possible while keeping the standard deviation at or below 4%. How much of the fund's money do you invest in the safe asset?
- QUESTION 2 Elizabeth has decided to form a portfolio by putting 30% of her money into stock 1 and 70% into stock 2. She assumes that the expected returns will be 10% and 18%, respectively, and that the standard deviations will be 15% and 24%, respectively. Describe what happens to the standard deviation of the portfolio returns when the coefficient of correlation ρ decreases. The standard deviation of the portfolio returns decreases as the coefficient of correlation decreases. The standard deviation of the portfolio returns increases as the coefficient of correlation increases. The standard deviation of the portfolio returns decreases as the coefficient of correlation increases. The standard deviation of the portfolio returns increases as the coefficient of correlation decreases.1. Tanner is choosing between two investment options. He can invest $500 now and get (guaranteed) $550 in one year, or invest $500 now and get (guaranteed) $531.40 back later today. The risk-free rate is 3.5%. Which investment should Tanner prefer? A) $531.40 later today, since $1 today is worth more than $1 in one year. B) $550 in one year, since it is $50 more than he invested rather than $31.40 more than he invested. C) Neither - both investments have a negative NPV. D) Tanner should be indifferent between the two investments, since both are equivalent to the same amount of cash today.8. Risk and return Suppose Caroline is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of diversified stocks. The following table shows the risk and return associated with different combinations of stocks and bonds. Combination A BUDW C E Fraction of Portfolio in Diversified Stocks (Percent) 0 25 50 75 100 Average Annual Return (Percent) 3.50 7.50 11.50 15.50 19.50 Standard Deviation of Portfolio Return (Risk) (Percent) 0 5 10 Sell some of her stocks and place the proceeds in a savings account O Sell some of her bonds and use the proceeds to purchase stocks Accept more risk Sell some of her stocks and use the proceeds to purchase bonds 15 20 As the risk of Caroline's portfolio increases, the average annual return on her portfolio Suppose Caroline currently allocates 25% of her portfolio to a diversified group of stocks and 75% of her portfolio to risk-free bonds; that is, she chooses combination B. She wants to increase the…
- 24 - As the number of securities in a portfolio is increased, what happens to the average portfolio standard deviation? a) O It increases at a decreasing rate. b) It first decreases, then starts to increase as more securities are added. c) O It decreases at an increasing rate. d) O It increases at an increasing rate. e) O It decreases at a decreasing rate.Suppose Caroline is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of diversified stocks. The following table shows the risk and return associated with different combinations of stocks and bonds.CombinationFraction of Portfolio in Diversified StocksAverage Annual ReturnStandard Deviation of Portfolio Return (Risk)(Percent)(Percent)(Percent)A 0 1.50 0B 25 3.00 5C 50 4.50 10D 75 6.00 15E 100 7.50 20There is a relationship between the risk of Caroline's portfolio and its average annual return.Suppose Caroline currently allocates 75% of her portfolio to a diversified group of stocks and 25% of her portfolio to risk-free bonds; that is, she chooses combination D. She wants to reduce the level of risk associated with her portfolio from a standard deviation of 15 to a standard deviation of 5. In order to do so, she must do which of the following? Check all that apply. Sell some of her stocks and use the proceeds to purchase…3. The risk free rate is 3%. The optimal risky portfolio has an expected return of 9% and standard deviation of 20%. Answer the following questions. (a) Assume the utility function of an investor is U = E(r) − 0.5Aσ2. What is condition of A to make the investors prefer the optimal risky portfolio than the risk free asset? (b) Assume the utility function of an investor is U = E(r) − 2.5σ2. What is the expected return and standard deviation of the investor’s optimal complete portfolio?
- 15. If a financial institution has a portfolio that half (50%) consists of bonds with a tenor of five years and the other half is in the form of bonds with a duration of seven years, what is the duration/tenor of the financial institution's portfolio? A) 12 years B) 7 years C) 6 years D) 5 years 16. If the corporation/company begins to experience large losses, the default risk on the company's bonds will be A) increases and the uncertainty of bond returns increases, meaning that the expected return on the company's bonds will decrease. B) increases and the uncertainty of bond returns decreases, which means the expected return on the company's bonds will decrease. C) decreases and the uncertainty of bond returns decreases, which means the expected return of the company's bonds will decrease. D) decreases and the uncertainty of bond returns decreases, which means the expected return of the company's bonds will increase.8. Risk and return Suppose Valerie is choosing how to allocate her portfolio between two asset classes: risk-free government bonds and a risky group of diversified stocks. The following table shows the risk and return associated with different combinations of stocks and bonds. Fraction of Portfolio in Diversified Average Annual Standard Deviation of Portfolio Return Stocks Return (Risk) Combination (Percent) (Percent) (Percent) 1.00 B 25 2.00 5. 50 3.00 10 75 4.00 15 100 5.00 20 If Valerie reduces her portfolio's exposure to risk by opting for a smaller share of stocks, she must also accept a average annual return. Suppose Valerie currently allocates 25% of her portfollo to a diversined group of stocks and 75% of her portfolio to risk-free bonds; that is, she chooses combination B. She wants to increase the average annual return on her portfolio from 2% to 4%. In order to do so, she must do which of the following? Check all that apply. O Sell some of her stocks and place the proceeds…3.) An investor is thinking of purchasing blue-chip stocks as part of his portfolio. At present, he is considering three blue chip stocks: Alpha, Bravo and Charlie. Based on the forecast of economists, there are three possible states of nature in the economy: growth, stagnation, recession, depression. Economists predicted that their respective probabilities are 0.25, 0.35, 0.30 and 0.10. Historical returns for the three blue chip stocks are summarized below: Stock Growth Stagnation Recession Depression Alpha 11% 3% -2% -20% Bravo 20% -1% -5% -3% Charlie 7% 2% 0% -5% (a) Determine the expected return for each stock. (b) Which stock is the riskiest using the standard deviation as a criterion? (c) Which stock is the least risky using the coefficient variation?