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 Asset C and a 50% investment in a diversified portfolio that replicates the ASX200? (express your answers as in (a) and (b))

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 Asset C and a 50% investment in a diversified portfolio that replicates the ASX200? (express your answers as in (a) and (b))

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 20P

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The following data are gathered for: · The real risk-free rate is 1.25% · Inflation premium is constant at 2.50% · Default risk premium is 5% · Liquidity risk premium is 0.50% What is the quoted rate on a short-term government security? (Format: X.XX%)
The following data are gathered for:· The real risk-free rate is 1.25%· Inflation premium is constant at 2.50%· Default risk premium is 5%· Liquidity risk premium is 0.50% What is the quoted rate on a short-term government security?
The required return of a risk-free asset can be approximated by The pure time value of money and anticipated inflation premium. а. The 20-year T-bond yield. Ob. The 90-day T-bill rate plus the risk premium. C. The 90-day T-bill rate plus anticipated inflation premium. d.
Consider the following historical performance data for two different portfolios, the Standard and Poor's 500, and the 90-day T-bill presented below. What is the Fama diversification measure for the Globex Fund? Assume the T-bill rate as the risk- free rate and the S&P return as the market average return. Use at least four decimal places in your calculations, but report your answer in percentage terms rounded to two decimal places. (Ex..12345 should be entered as "12.35") Investment Vehicle Globex Fund World Fund S&P500 90-day T-bill Answer: Average Rate of Return% 25.2 13.92 15.52 7.10 Standard Deviation 21.33 14 12.8 0.3 Beta 1.05 0.95 R² 0.756 0.741
What is the stand-alone risk? Use the scenario data to calculate the standard deviation of the bonds return for the next year.
An 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?
Assume that the risk-free rate, RF, is currently 8%, the market return, RM, is 12%, and asset A has a beta, of 1.10. (could be done on word document or excel). a) Draw the security market line (SML) b) Use the CAPM to calculate the required return, on asset A. c) Assume that as a result of recent economic events, inflationary expectations have declined by 3%, lowering RF and RM to 5% and 9%, respectively. Draw the new SML on the axes in part a, and calculate and show the new required return for asset A. d) Assume that as a result of recent events, investors have become more risk averse, causing the market return to rise by 2%, to be14%. Ignoring the shift in part c, draw the new SML on the same set of axes that you used before, and calculate and show the new required return for asset A. e) From the previous changes, what conclusions can be drawn about the impact of (1) decreased inflationary expectations and (2) increased risk aversion on the required returns of risky assets?
You are analyzing a Time Series of historic market information and found the following information for a particular investment security: the Rate of Return in 2012 was -6.72%; was 18.22% in 2013; was 7.75% in 2014; was 11.45% in 2015; was 4.94% in 2016; and was 18.11% in 2017. What is the arithmetic average rate of return? Show your answer as a percentage rounded to two places (12.34% for example). Group of answer choices 7.64% 8.96% 8.14% 7.24% None of the above
The quoted rate of a short-term government security is 2%. A premium of 3% is added to the risk-free rate to reflect the average market return. What is the required rate of return of the portfolio? (Format: XX.XX%)
Suppose we observe the 3-year Treasury security rate (1R3) to be 8 percent, the expected 1-year rate next year—E(2r1)—to be 4 percent, and the expected one-year rate the following year—E(3r1)—to be 6 percent. If the unbiased expectations theory of the term structure of interest rates holds, what is the 1-year Treasury security rate, 1R1?
For the upcoming year, the risk-free rate is 2 percent, and the expected return to the market is 7 percent. You are also given the following covariance matrix for Securities J,K, andL. \table[[Covariance,Security J,Security K,Security L],[Security J,0.0012532,0.0010344,0.0019711],[Security K,0.0010344,0.0023717,0.0013558],[Security L,0.0019711,0.0013558,0.0048442]] Also assume that you form a portfolio by putting 0 percent of your funds in Security J, 40 percent of your funds in Security K, and 60 percent of your funds in Security L. Based on this information, determine the standard deviation of the resulting portfolio. ◻ 6.47% 5.27% 4.98% 5.82% 4.77%
Refer the table below on the average excess return of the U.S. equity market and the standard deviation of that excess return. Suppose that the U.S. market is your risky portfolio. Period 1927-2021 1927-1950 1951-1974 1975-1998 1999-2021 Average Annual Returns U.S. equity 12.17 10.26 10.21 17.97 10.16 1-Month T-Bills 3.30 0.93 3.59 6.98 1.66 U.S. Excess return 8.87 9.33 6.62 10.99 8.50 Equity Market Standard Deviation 20.25 26.57 20.32 14.40 18.85 Sharpe Ratio 0.44 0.35 0.33 0.76 0.45 Required: a. If your risk-aversion coefficient is A = 4.9 and you believe that the entire 1927-2021 period is representative of future expected performance, what fraction of your portfolio should be allocated to T-bills and what fraction to equity? Assume your utility function is u = E(r) 0.5 × Ao². b. What if you believe that the 1975-1998 period is representative?