Sam has a portfolio of three assets. Determine the expected rate of return for the portfolio assuming he invests 50 percent of his money in asset A with a 10 percent rate of return, 30 percent in asset B with a 20 percent rate of return, and the remainder in asset C with a 30 percent rate of return?
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- Assume that an investor has formed a portfolio of two assets; Asset A and Asset B. if he invested 30% of his wealth in asset A. If the return on asset A is 20% and the return on asset B is 40%, the weight of the wealth invested in asset B is? What is the portfolio return?Jamie has wealth of $10,000 to invest. The market portfolio consists of three stocks with 20% being Stock A, 40% being Stock B and the remainder Stock C. The expected return on this market portfolio is 14%. The risk free rate is 5%. The CAPM holds. Suppose Jamie's optimal portfolio has an expected return of 23%, what are the dollar values of her investments in A, B. C and the risk free asset?Penny Francis inherited a $200,000 portfolio of investments from her grandparents when she turned 21 years of age. The portfolio is comprised of Treasury bills and stock in Ford (F) and Harley Davidson (HOG): Expected Return $ Value Treasury bills 4.5% 80,000 Ford (F) 8.0% 60,000 Harley Davidson (HOG) 12.0% 60,000 a. Based on the current portfolio composition and the expected rates of return, what is the expected rate of return for Penny's portfolio? b. If Penny wants to increase her expected portfolio rate of return, she can increase the allocated weight of the portfolio she has invested in stock (Ford and HarleyDavidson) and decrease her holdings of Treasury bills. If Penny moves all her money out of Treasury bills and splits it evenly between the two stocks, what will be her expected rate of return? c. If Penny does move money out of Treasury bills and into the two stocks, she will reap a…
- An investor invests 30 percent of his wealth in a risky asset with an expected rate of return of 0.14 and a standard deviation of .35 and 70 percent in a T-bill that pays 3 percent. His portfolio's expected return and standard deviation are __________ and __________, respectively. Please show the formulaYou are going to invest $50,000 in a portfolio consisting of assets X, Y, and Z, as follows; What is the expected return of this portfolio? Calculate the beta coefficient of the portfolioJoseph is going to purchase two stocks to form the initial holdings in his portfolio. Iron stock has an expected return of 20 percent, while Copper stock has an expected return of 23 percent. - If Joseph plans to invest 30 percent of his funds in Iron and the remainder in Copper, what will be the expected return from his portfolio? - What would the expected return of David's portfolio invests 70 percent of his funds in Iron stock?
- Leon has in his investment a portfolio that paid him the rate of returns of 14 %, -13%, 15.6%, 17% and 19.5% over the past five years. Required: Calculate the arithmetic average return (AAR) and geometric average return (GAR) of the portfolio? If someone asks you what is the actual compounding rate of return of Leon’s portfolio over the past five year, which one (AAR or GAR) will be a better answer? (2 marks) Following is forecast for economic situation and Leon’s portfolio returns next year, calculate the expected return, variance and standard deviation of the portfolio. (4 marks) State of economy Probability Rate of returns Mild Recession 0.25 -2.5% Normal 0.45 13.5% Growth 0.30 20% c) Assume that expected return of the stock A in Leon’s portfolio is 13.2%. Beta of this stock is 1.2, risk free rate is 3.5%. Calculate market portfolio rate of return, which is used to compute the expected return of this stock by Capital Asset Pricing Model…John has an investment budget of £20,000. In addition, he has borrowed £10,000 at afixed interest rate of 5%. He decides to invest all available funds in a portfolio of equitieswhich has an expected rate of return of 12% and standard deviation of 20%. What is thestandard deviation of the return on John’s overall investment portfolio?Leon has in his investment a portfolio that paid him the rate of returns of 14 %, -13%, 15.6%, 17% and 19.5% over the past five years. Required: a)Calculate the arithmetic average return (AAR) and geometric average return (GAR) of the portfolio? If someone asks you what is the actual compounding rate of return of Leon’s portfolio over the past five year, which one (AAR or GAR) will be a better answer? b)Following is forecast for economic situation and Leon’s portfolio returns next year, calculate the expected return, variance and standard deviation of the portfolio. State of economy Probability Rate of returns Mild Recession 0.25 -2.5% Normal 0.45 13.5% Growth 0.30 20% c) Assume that expected return of the stock A in Leon’s portfolio is 13.2%. Beta of this stock is 1.2, risk free rate is 3.5%. Calculate market portfolio rate of return, which is used to compute the expected return of this stock by Capital Asset Pricing Model (CAPM)?
- A portfolio consists of assets with the following expected returns (refer to image): a. What is the expected return on the portfolio if the investor spends an equal amount on each asset? b. What is the expected return on the portfolio if the investor puts 50 percent of available funds in technology stocks, 10 percent in pharmaceutical stocks, 24 percent in utility stocks, and 16 percent in the savings account?An investor invests 75% of his wealth in a risky asset with an expected rate of return of 28% and a standard deviation of 30% and 25% in a treasury bill that pays 3%. What is the EXPECTED RETURN of the combined portfolio of t-bills and the risky asset?You have a portfolio of three assets at the beginning of the year: Asset 1 is 30% of the portfolio, Asset 2 is 40% of the portfolio, and Asset 3 is 30% of the portfolio. During the year, Asset 1 has a return of 4%, Asset 2 has a return of 12%, and Asset 3 has a return of -20%. What was the return on your portfolio for the year?