Concept explainers
a.
To analyze: The choice of inclusion of the portfolio in the holdings if the market-index portfolio is held.
Introduction:
Market-Index portfolio: When anyone has to calculate the cumulative value of various stocks, the choice of using market-index portfolio is ideal. Here the word index refers to the movement of the securities along with the one in the market for a long term.
b.
To analyze: The choice of portfolio if the investment is possible only in T-Bills.
Introduction:
Market-Index portfolio: When anyone has to calculate the cumulative value of various stocks, the choice of using market-index portfolio is ideal. Here the word index refers to the movement of the securities along with the one in the market for a long term.
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GEN COMBO LOOSELEAF INVESTMENTS; CONNECT ACCESS CARD
- Assume that expected return of the stock A in your portfolio is 14.6%. The risk premium on the stocks of the same industry are 5.8%, the risk-free rate of return is 5.9% and the inflation rate was 2.7. Calculate beta of thisstock using Capital Asset Pricing Model(CAPM)arrow_forwardassume that expected return of the stock A in Rachel's portfolio is 13.6% this year.The risk premium on the stock of the same industry are 4.8%.beta of the stock is 1.5 and the inflation rate was 2.7. a)Calculate the risk-free rate of return using capital market asset pricing model please provide the workings for finding risk free rate finding adjusted rate of return(inflation adjusted) finding Risk free rate of return using CAPM modelarrow_forwardSuppose that the SP 500 index has an expected return of 7% and a standard deviation of returns of 15%. The risk-free rate is 5%. The portfolio on the Capital Allocation Line (CAL) that has an expected return of 20% invests weight 65% in the SP 500. Answer if true or false, and show all your calculations.arrow_forward
- If you create a portfolio for your client with 73 percent invested in the S&P 500 U.S. stock index (which includes T) and the remaining 27 percent in the Vanguard Gold index. The expected return is 30 percent for the S&P 500 and 3 percent for the Vanguard Gold index. The risk is 7.5 percent for the S&P 500 and 5 percent for the Vanguard Gold index. Estimate the portfolio’s return and risk given that the correlation coefficient between the S&P 500 and the Vanguard Gold index is -0.3? (e) Evaluate the effect of a change in the correlation coefficient to 0.8 on the portfolio’s return and risk.arrow_forwardIf the risk free rate is 4.4%, the expected return on the market portfolio (i.e., Rm)( is 11.6%, and the beta of Stock B is 0.9 , what is the required rate of return for Stock B according to the Capital Asset Pricing Model (CAPM)? (Round your answer rounded to one decimal place and record without a percent sign). Your Answer: If the risk free rate is 1.2%, the market risk premium (i.e., Rm - Rf) is 13.5%, and the beta of Stock B is 1.9 , what is the required rate of return for Stock B according to the Capital Asset Pricing Model (CAPM)? (Round your answer rounded to one decimal place and record without a percent sign). Your Answer:arrow_forwardIn this problem we assume that the annual expected rate of return of the market portfolio is 22% and the annual risk-free rate is 2%. The standard deviation of the market portfolio returns is 22%. Assume the market is in equilibrium such that the Capital Asset Pricing Model (CAPM) holds: the market portfolio is efficient. If you have $1,000 to invest, how should you allocate it to achieve an annual expected return of 26%? Invest $260 in the risk-free asset and $740 in the market portfolio Invest $800 in the risk-free asset and $200 in the market portfolio Invest $1,200 in the risk-free asset and sell short $200 in the market portfolio Borrow $260 at the risk-free rate and invest $1,260 in the market portfolio Invest $200 in the risk-free asset and $800 in the market portfolio Borrow $200 at the risk-free rate and invest $1,200 in the market portfolioarrow_forward
- See Attachedarrow_forwardAn investor aims to build a portfolio with annual return equal to 8.88%. In the market only two stocks (A and B) are available, with annual historical returns equal to 9.6% and 7.8% respectively. Assume future returns have the same distribution of past returns. What is the percentage of funds that the investor must allocate to the stock A and B?arrow_forwardThe Treasury bill rate is 4.9%, and the expected return on the market portfolio is 11.1%. Use the capital asset pricing model. What is the risk premium on the market? (Enter your answer as a percent rounded to 1 decimal place.) What is the required return on an investment with a beta of 1.2? (Enter your answer as a percent rounded to 2 decimal places.) If an investment with a beta of 0.46 offers an expected return of 8.7%, does it have a positive NPV? If the market expects a return of 12.2% from stock X, what is its beta? (Round your answer to 2 decimal places.)arrow_forward
- Portfolios A and B are actively managed. Based on current dividend yields and expected capital gains the expected rates of return on portfolios A & B are 10 and 17% respectfully. The beta of A is 0.5, while that of B is 1.4. The T bill rate is currently 2% while the expected rate of return of the S&P 500 index is 12% . The standard deviation of portfolio a is 26% annually while that of B is 35%, and that of the index is 21%. If you hold S&P 500 index and are looking to add an active component to your portfolio, which portfolio will you select?arrow_forwardAssume that ASX 300 Index represents the risky portfolio. Calculate the annual return for the period 2011- 2020 for the risky portfolio using the data given for the ASX 300 Index. Year ASX 300 Index ASX 300 Dividend Yield (%) Return_risky portfolio 2010 4760.79 3.76 - 2011 4052.27 4.93 ??? 2012 4626.27 4.33 ??? 2013 5304.8 3.99 ??? 2014 5348.93 4.24 ??? 2015 5249.09 4.72 ??? 2016 5617.73 4.09 ??? 2017 6023.3 4.04 ??? 2018 5596.96 4.48 ??? 2019 6647.74 3.95 ??? 2020 6574.33 2.82 ??? Calculate the annual return for the period 2011-2020 for the risk-free asset using the data given for the risk-free asset Year Risk free rate (%) Return_risk-free asset 2011 5.03 2012 4.51 ??? 2013 3.11 ??? 2014 2.61 ??? 2015 2.75 ??? 2016 2.34 ??? 2017 1.78 ??? 2018 1.77 ??? 2019 2.02 ??? 2020…arrow_forwardConsider two types of assets: market portfolio (M) and stock A. The expected return is 8% and standard deviation of the market portfolio is 15%. The risk-free rate is 2%. The standard deviation of market portfolio returns is 15%. The standard deviation of stock A is 30%, and the beta coefficient is 1. Draw the capital market line and show the position of stock A.arrow_forward
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