You are working on creating a portfolio that mimics a fully diversified market index. Assume that you have $1 million fund to invest. You plan to allocate $195,000 and $365,000 of your fund to invest in stock A and B, respectively. To achieve your goal, you need to add an additional risky stock C and a risk-free bond to your portfolio. How much would you invest in stock C and risk-free bond?
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You are working on creating a portfolio that mimics a fully diversified market index.
Assume that you have $1 million fund to invest. You plan to allocate $195,000 and $365,000
of your fund to invest in stock A and B, respectively. To achieve your goal, you need to add an
additional risky stock C and a risk-free bond to your portfolio. How much would you invest in
stock C and risk-free bond?
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- You are working on creating a portfolio that mimics a fully diversified market index.Assume that you have $1 million fund to invest. You plan to allocate $195,000 and $365,000of your fund to invest in stock A and B, respectively. To achieve your goal, you need to add anadditional risky stock C and a risk-free bond to your portfolio. How much would you invest instock C and risk-free bond?You are working on creating a portfolio that mimics a fully diversified market index. Assume that you have $1 million fund to invest. You plan to allocate $195,000 and $365,000 of your fund to invest in stock A and B, respectively. To achieve your goal, you need to add an additional risky stock C and a risk-free bond to your portfolio. Assume that betas for stock A, B, and C are 0.80, 1.09, and 1.23, respectively. How much would you invest in stock C and risk-free bond?Suppose you visit with a financial adviser, and you are considering investing some of your wealth in one of three investment portfolios: stocks, bonds, or commodities. Your financial adviser provides you with the following table, which gives the probabilities of possible returns from each investment: Stocks Bonds Commodities Probability Return Probability Return Probability Return 20% 15% 0.15 20% 0.6 10% 0.2 0.2 12.5% 0.4 7.5% 0.2 0.25 0.2 0.4 3.8% 0.2 0.2 0% To maximize your expected return, you should choose O A. commodities. B. bonds. OC. stocks. OD. All of the portfolios have the same expected return
- Assume that you are the portfolio manager of the SF Fund, a $3 million hedge fund that contains the following stocks. The required rate of return on the market is 11.00% and the risk-free rate is 5.00%. What rate of return should investors expect (and require) on this fund? (Hint: first calculate the weights, then calculate the beta of the portfolio and then calculate the required return of the portfolio.) Show your work. Stock Amount Weights Beta A $1,075,000 ? 1.20 B 675,000 ? 0.50 C 750,000 ? 1.40 D 500,000 ? 0.75 $3,000,000After learning the course, you divide your portfolio into three equal parts (i.e., equal market value weights), with one part in Treasury bills, one part in a market index, and one part in a mutual fund with beta of 0.8. What is the beta of your overall portfolio?You want your portfolio beta to be 1.30. Currently, your portfolio consists of $100 invested in stock A with a beta of 1.4 and $300 in stock B with a beta of .6. You have another $400 to invest and want to divide it between an asset with a beta of 1.8 and a risk-free asset. How much should you invest in the risk-free asset?
- You want to create a portfolio equally as risky as the market, and you have $5M to invest. Given the information below, what is your investment in the risk-free asset? Asset Stock A Stock B Stock C Risk-free Asset $0.8M $0.7M $0.9M $1.1M Investment $1M $2M Beta 0.7 1.25 1.5You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its net are summarized below. Calculate the beta of the portfolio and use the capital asset pricing model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 18% and that the risk-free rate is 6%. Stock A, Investment = $188,000, Beta=1.50, Stock B, Investment = $282,000, Beta =0.50, Stock C, Investment = $470,000, Beta = 1.30 Beta of the portfolio ? Expected rat of return ? %You have just invested in a portfolio of three stocks. The amount of money that you invested in each stock and its beta are summarized below. Stock Investment Beta A $222,000 1.41 B 333,000 0.53 C 555,000 1.30 Calculate the beta of the portfolio and use the Capital Asset Pricing Model (CAPM) to compute the expected rate of return for the portfolio. Assume that the expected rate of return on the market is 12 percent and that the risk-free rate is 7 percent. (Round beta answer to 3 decimal places, e.g. 52.750 and expected rate of return answer to 2 decimal places, e.g. 52.75%.) Beta of the portfolio enter the beta rounded to 3 decimal places Expected rate of return enter percentages rounded to 2 decimal places %
- As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U}: Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 a. If the risk-free rate is 3.9 percent and the expected market risk premium (£(RM) -RFR} is 6.1 percent, calculate the expected return for each mutual fund according to the CAPM. b. Using the estimated expected returns from part (a) along with your own return forecasts, demonstrate whether Fund T and Fund U are currently priced to fall directly on the security market line (SML), above the SML, or below the SML. c. According to your analysis, are Funds T and U overvalued, undervalued, or properly valued?You want to create a portfolio equally as risky as the market, and you have $500,000 to invest. Information about the possible investments is as follows: stock A ($144,000 worth of stock A and beta of 0.89), stock B ($136.000 worth of stock B and beta of 1.34), stock C ($X worth of stock C and beta of 1.49), and risk-free asset ($Y worth of risk-free asset). How much will you invest in risk-free asset? 1) $127.248 2) $92,752 3) $115,348 4) $136.000As an equity analyst, you have developed the following return forecasts and risk estimates for two different stock mutual funds (Fund T and Fund U): Forecasted Return CAPM Beta Fund T 9.00% 1.20 Fund U 10.00% 0.80 If the risk-free rate (RFR) is 3.9% and the expected market risk premium (ie., E(Ra) – RFR) is 6.1%, calculate the expected return for each mutual fund according to the 3.а. САРМ. 3.b. Decide which fund is overvalued, undervalued or properly valued and explain why?