7. Scenario Analysis. Consider the following scenario analysis: Rate of Return Probability Stocks (%) Bonds (%) Boom .20 -5% +14 Normal economy .60 +10 +8 Recession .20 +20 +4 a. Is it reasonable to assume that Treasury Bonds will provide higher returns in recessions than in booms? b. Calculate the expected rate of return and standard deviation for each investment. c. Which investment would you prefer?
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- solve this practice problem7. A. Define duration and explain how duration is used in the management of a portfolio of financial securities. B. Why is duration a better measurement of interest rate risk than the time it takes to reduce the principal balance on a loan by 50%? C. How does maturity and yield affect the sensitivity of a financial security to changes in interest rates?8. Given the following information what must be the risk-free rate of interest (assume the asset is properly priced)? The expected return of the market is 14.25%, the stock's B is.82 and the expected return of the asset is 12.89%. A.5.91% B. 6.69% C. 7.41% D. 8.93%
- 1. Risk free rate represents: a. The market rate of return b. The rate provided by long term government securities c. Beta d. The rate provided by short term government securities 2. The market risk premium is measured by: a. T-bill rate. b. market return less risk-free rate. c. beta. d. standard deviation. 3. A stock with a beta of one would be expected to have a rate of return equal to a. the market risk premium b. the risk-free rate c. the market rate of return d. zeroAn Overview of Financial Management and the Financial Environment Differentiate between the following types of markets: physical asset vs. financial markets, spot vs. futures markets, money vs. capital markets, primary vs. secondary markets, and public vs. private markets the real risk free rate of interest is 3%. Inflation is expected to be 2% this year and 4% during the next 2 years. Assume that the maturity risk premium (MRP) is zero. What is the yield on a 2 year Treasury security? What is the yield on 3 year Treasury securities? If Apple Computer decided to issue additional common stock, and someone purchased 100 shares of this stock from Merrill Lynch, the underwriter, would this transaction be a primary market transaction or a secondary market transaction? Would it make a difference if the investor purchased previously outstanding Apple stock in the dealer market?Finance Consider the following statements I. A drop in the price-dividend ratio predicts a significantly higher excess return on the market over the next 5 years An increase in the yield-to-maturity spread between BAA and AAA rated bonds predicts a significantly higher excess return on the market over the next year I. The price-to-earning ratio is a better predictor for future market excess returns in short horizons than long horizons I. IV. Gold-to-platinum is a better predictor for the next month market excess return than the variance risk premium Which statements are correct?
- f. Estimate Bartman's and Reynolds's betas by running regressions of their returns against the index's returns. Round your answers to four decimal places. Bartman's beta: fill in the blank 30 Reynolds's beta: fill in the blank 31 Are these betas consistent with your graph? These betas consistent with the scatter diagrams. g. Assume that the risk-free rate on long-term Treasury bonds is 4.5%. Assume also that the average annual return on the Winslow 5000 is not a good estimate of the market's required return—it is too high. So use 9% as the expected return on the market. Use the SML equation to calculate the two companies' required returns. Round your answers to two decimal places. Bartman's required return: fill in the blank 33 % Reynolds's required return: fill in the blank 34 % h. If you formed a portfolio that consisted of 50% Bartman and 50% Reynolds, what would the portfolio's beta and required return be? Round your answer for the portfolio's beta to four decimal places and…24) What is the shape of the yield curve given in the following term structure? What expectations are investors likely to have about future interest rates?9. Interest Rate Risk. Suppose that you are a fixed income portfolio manager at Bourbon Street Capital. You have the following bonds issued by Royal, Inc. and Chartres, LLC in your portfolio and you want to understand the risk profile of your portfolio. Given that both bonds pay semiannual coupons, answer the following questions. (Remember to convert your answer to units of full years.) Coupon Yield to maturity Maturity (years) Royal, Inc. Chartres, LLC. Bond A Bond B 9% 8% 5 $100.00 $104.055 8% 8% 2 Par $100.00 Price $100.00 (a) What is the DV01 (at current prices) for bonds A and B? (b) What are the Macaulay Durations (at current prices) for the two bonds? (c) What are the modified durations for the two bonds? (d) What is the convexity of the two bonds?
- Suppose you observe the following situation: Security Beta Expected Return Peat Company 1.70 13.60 Re - Peat Company 0.85 10.80 Assume these securities are correctly priced. Based on the CAPM, what is the expected return on the market? What is the risk - free rate?Consider the following information relating to the following three assets: Asset C, the 10 year government bond rate (which can be used as a proxy for the risk-free rate of return) and the ASX 200 index (which can be used as a proxy for the market portfolio). Asset C: Standard deviation of returns (p.a.) 0.35, Expected return (p.a.) ? 10-year gov't bond: Standard deviation of returns (p.a.) 0, Expected return (p.a.) 0.03 ASX200 Index: Standard deviation of returns (p.a.) 0.15, Expected return (p.a.) 0.10 Correlation between Asset C and the 10-year government bond: 0 Correlation between Asset C and the ASX200 Index: 0.65 Correlation between the ASX200 Index and the 10-year government bond: 0 (a) What is the beta of Asset C? (to 2 decimal places) (b) According to the CAPM what is the expected return of Asset C? (express as a percentage figure to 2 decimal places e.g. 50.04%) (c) According to the CAPM what is the beta and expected return of a portfolio consisting of a 50% investment in…You are given the following data: • k* = real risk-free rate = 4%. • Constant inflation premium = 7%. • Maturity risk premium = 1%. • Default risk premium for AAA bonds = 3%. • Liquidity premium for long-term T-bonds = 2%. Assume that a highly liquid market does not exist for long-term T-bonds, and the expected rate of inflation is a constant. Given these conditions, the nominal risk-free rate for T-bills is , and the rate on long-term Treasury bonds is 4%; 14% 4%; 15% 11%; 14% 11%; 15%