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You are a fund manager who has been given the following portfolio:
Delta exposure: — Gamma exposure: -7000 Vega exposure: 6,000
You have access to the following two options
Option A: Delta: 2.8 Gamma: 1.4 Vega: 2.0
Option B: Delta: 1.2 Gamma: 0.7 Vega: 1.5
A) Calculate the number of option A and Option B contracts to make your portfolio gamma and Vega neutral
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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.Suppose you are the money manager of a $3.92 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 360,000 1.50 B 700,000 (0.50 ) C 960,000 1.25 D 1,900,000 0.75 If the market's required rate of return is 10% and the risk-free rate is 5%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. %Suppose you are the money manager of a $4.07 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 380,000 1.50 B 600,000 (0.50) C 1,140,000 1.25 D 1,950,000 0.75 If the market's required rate of return is 12% and the risk-free rate is 6%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. Calculate the required rate of return for Mudd Enterprises assuming that investors expect a 3.9% rate of inflation in the future. The real risk-free rate is 2.0%, and the market risk premium is 5.0%. Mudd has a beta of 2.7, and its realized rate of return has averaged 13.0% over the past 5 years. Round your answer to two decimal places.
- Suppose you are the money manager of a $4.92 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 560,000 1.50 B 400,000 (0.50 ) C 1,260,000 1.25 D 2,700,000 0.75 If the market's required rate of return is 8% and the risk-free rate is 6%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. Suppose you are the money manager of a $4.92 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 560,000 1.50 B 400,000 (0.50 ) C 1,260,000 1.25 D 2,700,000 0.75 If the market's required rate of return is 8% and the risk-free rate is 6%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places.Suppose you are the money manager of a $5.26 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 580,000 1.50 B 800,000 (0.50) C 980,000 1.25 D 2,900,000 0.75 If the market's required rate of return is 9% and the risk-free rate is 5%, what is the fund's required rate of return?Suppose you are the money manager of a $4 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $300,000 1.25 B 700,000 (0.75) C 1,500,000 1.00 D 1,500,000 0.75 If the market's return in 12% and the risk-free rate is 5%, what is the fund's required rate of return (You must calculate the fund's beta, then its required rate of return).
- What follows is a numeric fill in the blank question with 5 blanks.You manage an equity fund with an expected risk premium of 10% and an expected standard deviation of 14%. The rate on Treasury bills is 6%. Your client chooses to invest $60,000 of her portfolio in your equity fund and $40,000 in a T-bill money market fund. What is the expected return and standard deviation of return on your client’s portfolio? a. Expected return for equity fund: Blank 1. Fill in the blank, read surrounding text. %. b. Expected rate of return of the client’s portfolio: Blank 2. Fill in the blank, read surrounding text % c. Expected Return of the client's portfolio: $ Blank 3. Fill in the blank, read surrounding text. d. The standard deviation of the client's overall portfolio: Blank 4. Fill in the blank, read surrounding text. % (Round to one decimal place.) e. Calculate the Sharpe ratio for the equity fund: Blank 5. Fill in the blank, read surrounding text. (Round to TWO decimal places.)Suppose you manage a $5 million fund that consists of four stocks with the following investments: Stock Investment Beta A $250,000 1.50 B 750,000 -0.50 C 1,250,000 1.25 D 2,750,000 0.75 If the market's required rate of return is 9% and the risk-free rate is 5%, what is the fund's required rate of return? Do not round intermediate calculations. Round your answer to two decimal places. %Consider the following information and then calculate the required rate of return for the Universal Investment Fund, which holds 4 stocks. The market's required rate of return is 13.25%, the risk-free rate is 7.00%, and the Fund's assets are as follows: Stock Investment Beta A $200,000 1.5 B $300,000 -0.5 C $500,000 1.25 D $1,000,000 0.75
- Suppose you are the money manager of an Rs.8 million investment fund. The fund consists of 4 stocks with the following investments and betas: Stock Investment Beta A Rs.800,000 1.2 B 1200,000 (0..3) C 2,000,000 1.0 D 4,000,000 0.6 If the market required rate of return is 13.5 percent and the risk-free rate is 5.5 percent, what is the fund's required rate of return? Change the weightages of the investments with your own consent to increase the rate of return and also interpret your answer in a logicaSuppose you are the money manager of a $4.82 millioninvestment fund. The fund consists of four stocks with the following investments and betas:Stock Investment BetaA $ 460,000 1.50B 500,000 (0.50)C 1,260,000 1.25D 2,600,000 0.75If the market’s required rate of return is 8% and the risk-free rate is 4%, what is the fund’s required rate of return?Suppose you are the money manager of a $4.82 millioninvestment fund. The fund consists of four stocks with the following investments and betas:Stock Investment BetaA $ 460,000 1.50B 500,000 (0.50)C 1,260,000 1.25D 2,600,000 0.75 If the market’s required rate of return is 8% and the risk-free rate is 4%, what is the fund’srequired rate of return?8-8 BETA COEFFICIENT Given t