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?
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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
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- Blair Rosen. Inc. (BR) is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted BR this past week has a maximum of 50,000 to invest. BRs investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 12%, and the Blue Chip fund has a projected annual return of 9%. The investment advisor requires that at most 35,000 of the clients funds should be invested in the Internet fund. BR services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per 1,000 invested. The Blue Chip fund has a risk rating of 4 per 1,000 invested. For example, if 10,000 is invested in each of the two investment funds, BRs risk rating for the portfolio would be 6(10) + 4(10) = 100. Finally. BR developed a questionnaire to measure each clients risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. BR recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 240. a. Formulate a linear programming model to find the best investment strategy for this client. b. Build a spreadsheet model and solve the problem using Solver. What is the recommended investment portfolio for this client? What is the annual return for the portfolio? c. Suppose that a second client with 50,000 to invest has been classified as an aggressive investor. BR recommends that the maximum portfolio risk rating for an aggressive investor is 320. What is the recommended investment portfolio for this aggressive investor? d. Suppose that a third client with 50,000 to invest has been classified as a conservative investor. BR recommends that the maximum portfolio risk rating for a conservative investor is 160. Develop the recommended investment portfolio for the conservative investor.Pound money has invested 150 percent of his money in an index fund that invests in all shares on the stock exchange. The risk free interest rate is 5percent and all investors can borrow and lend unlimited amounts at this rate. The expected return on the market index is 15% with a standard deviation of 20 percent. a.How can Mr. Pound-money invest more than 100 percent of his money in the index fund? b. Is Mr. Pound-money portfolio mean variance efficient? c. What is the portfolio standard Deviation? d. What is the portfolio β (relative to market as a whole)You want to achieve an expected annual return of 12% by investing in a risky fund that generates 20% per year and the rest of your budget in t-bill that generates 5% per year. What proportion of your budget should be invested in the risky fund?
- 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?Janakiram is considering an investment which requires a current outlay of Rs.25,000. The expected value and standard deviation of cash flows are: The cash flows are perfectly correlated. Calculate the expected net present value and standard deviation of net present value of this investment, if the risk-free interest rate is 8 percent.As a junior investment manager, your boss instructs you to help a client to invest $100,000 for the next year. Particularly, you are asked to form an investment portfolio for the client by investing in risk-free assets like 90-day bank bill and two stocks: A and B. Stock A has a beta value of 0.8, an expected return of 7% and a standard deviation of 10%; and stock B has a beta value of 1.2, an expected return of 12% and a standard deviation of 15%. The correlation coefficient between the returns for the two stocks is 0. The risk-free rate is 2%. (a) What is the expected return of the risky portfolio with the two stocks that has the least amount of risk? (b) Suppose that the optimal risky portfolio with the two stocks has a weight of 53% in A and 47% in B, and has the expected return of 9.4% and standard deviation of 8.8%. If this client is willing to take a risk measured by standard deviation of 5% for his overall investment portfolio, how much would you recommend to the client to…
- As a junior investment manager, your boss instructs you to help a client to invest $100,000for the next year. Particularly, you are asked to form an investment portfolio for the clientby investing in risk-free assets like 90-day bank bill and two stocks: A and B. Stock A hasa beta value of 0.8, an expected return of 7% and a standard deviation of 10%; and stockB has a beta value of 1.2, an expected return of 12% and a standard deviation of 15%.The correlation coefficient between the returns for the two stocks is 0. The risk-free rate is2%.(a) What is the expected return of the risky portfolio with the two stocks that has theleast amount of risk?(b) Suppose that the optimal risky portfolio with the two stocks has a weight of 53% inA and 47% in B, and has the expected return of 9.4% and standard deviation of8.8%. If this client is willing to take a risk measured by standard deviation of 5% forhis overall investment portfolio, how much would you recommend to the client toinvest in the…Mr. Devine is a fixed-income portfolio manager. He forecast a cash outflow of $10 million in June and plans to sell his baseline bond portfolio. The fund currently is worth $10 million, has an “A” quality rating, duration of 7 years, weighted average maturity of 15 years, annual coupon rate of 10.25%, and YTM of 10.25% (note: the fund is selling at its par value). Suppose Mr. Devine is afraid that long-term interest rates could increase and decides to hedge his June sale by taking a position in June T-bond futures contracts when the June T-bond contract is trading at 80-16, and the T-bond most likely to be delivered on the contract has a YTM of 9.5%, maturity of 15 years, and a duration of 9 years (1)Using the price-sensitivity model, show how Mr. Devine could hedge his June bond portfolio sale against interest rate risk. (2)Suppose long-term interest rates increase over the period such that at the June expiration, Mr. Devine’s baseline portfolio (A-rated, 10.25% coupon rate, 15-year…Jenefir decided to form a portfolio by investing 40% of her funds in the market portfolio, 30% in an asset that is three times as volatile as the market portfolio, and the remainder is invested in T-bills. Jenefir portfolio beta is? why? A- 0.25 B- 0.50 C- 0.75 D- 1.00 E- 1.30
- You are considering investing in a mutual fund. The fund is expected to earn a return of 19.0 percent in the next year. If its annual return is normally distributed with a standard deviation of 10.3 percent, what return can you expect the fund to beat 95 percent of the time?You are considering investing in a mutual fund. The fund is expected to earn a return of 12 percent in the next year. If its annual return is normally distributed with a standard deviation of 4.50 percent, what return can you expect the fund to beat 95 percent of the time? what is the expected return(%)?A company's fund manager has a P20,000,000 portfolio with a beta of 0.75. The risk-free rate is 4.50% and the market risk premium is 5.00%.The manager expects to receive an additional P30,000,000, which she plans to invest in several stocks. After investing the additional funds, she wants the fund's required return to be 9.50%. 1. What is the required rate of return on the initial P20M investment? 2. What is the rate of return of all risky and risk-free securities? 3. To achieve the fund manager’s required return target, the funds should be invested in an investment with a beta of 4. Judge the overall riskiness of the P50M portfolio A. Aggressive B. Neutral C. Conservative