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Chapter 20 Solutions
Essentials Of Investments
- A fund manager has a well-diversified portfolio that mirrors the performance of the S&P 500and is worth $240 million. The value of the S&P 500 is 4,800, and the portfolio manager wouldlike to obtain insurance against a reduction of more than 3% in the value of the portfolio over thenext four months. The risk-free interest rate is 6% per annum. The dividend yield on both theportfolio and the S&P 500 is 4%, and the volatility of the index is 35% per annum. What amount(in dollars) of the portfolio should be sold and kept in risk-free securities for portfolio insurance?arrow_forwardYou create a portfolio consisting of $23000 invested in a mutual fund with beta of 1.3, $25000 invested in Treasury Securities (assume risk-free), and $12000 invested in an index fund tracking the market. According to surveys, the expected market risk premium is 6.6%, risk free rate is 1.3%. What is the expected return of this portfolio according to CAPM? Answer in percent, rounded to one decimal place.arrow_forwardABC CAPITAL is a hedge fund with $300 million of initial investment capital. They charge a 2 percent management fee based on assets under management at year- end and a 20 percent incentive fee. In its first year, ABC Capital has a 80 percent return. Assume management fees are calculated using end-of-period valuation. 1. What are the fees earned by ABC if the incentive and management fees are calculated independently? What is an investor’s effective return given this fee Structure? 2. What are the fees earned by ABC assuming that the incentive fee is calculated based on return net of the management fee? What is an investor’s net return given this fee structure? 3. If the fee structure specifies a hurdle rate of 5 percent and the incentive fee is based on returns in excess of the hurdle rate, what are the fees earned by ABC assuming the performance fee is calculated net of the management fee? What is an investor’s net return given this fee structure? 4. In the second year, the fund…arrow_forward
- Harlequin Capital is a hedge fund with $250 million of initial capital. Harlequin charges a 2% management fee based on assets under management at year end, and a 20% incentive fee based on returns in excess of an 8% hurdle rate. In its first year, Harlequin appreciates 16%. Assume management fees are calculated using end-of-period valuation. Calculate the investor’s net return assuming the performance fee is calculated net of the management fee.arrow_forwardABC CAPITAL is a hedge fund with $300 million of initial investment capital. They charge a 2 percent management fee based on assets under management and a 20 percent incentive fee. In its first year, ABC Capital has a 20 percent return. Assume management fees are calculated using beginning-of-period valuation. 1. What are the fees earned by ABC if the incentive and management fees are calculated independently? What is an investor’s effective return given this fee Structure? 2. What are the fees earned by ABC assuming that the incentive fee is calculated based on return net of the management fee? What is an investor’s net return given this fee structure? 3. If the fee structure specifies a hurdle rate of 5 percent and the incentive fee is based on returns in excess of the hurdle rate, what are the fees earned by ABC assuming the performance fee is calculated net of the management fee? What is an investor’s net return given this fee structure? 4. In the second year, the fund value…arrow_forwardYou create a portfolio consisting of $23000 invested in a mutual fund with beta of 1.3, $25000 invested in Treasury Securities (assume risk-free), and $12000 invested in an index fund tracking the market. According to surveys, the expected market risk premium is 6.6%, Risk-free rate is 1.3%. What is the expected return of this portfolio according to CAPM?arrow_forward
- A hedge fund with a 1 and 15 fee structure has a hard hurdle rate of 7.45%. If the incentive fee and management fee are calculated independently and the management fee is based on beginning-of-period asset values, an investor’s net return over a period during which the grows value of the fund has increase 19.45% is closest to A. 10.85%. B. 12.65%. C. 16.65%. D. 21.74%.arrow_forwardThe Closed Fund is a closed-end investment company with a portfolio currently worth $200 million. It has liabilities of $3 million and 5 million shares outstanding.a. What is the NAV of the fund?b. If the fund sells for $36 per share, what is its premium or discount as a percent of net asset value?arrow_forwardSuppose 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 logicaarrow_forward
- A mutual fund company has cash resources of birr 200 million for investment in a diversified portfolio. Table below shows the opportunity available, their estimated yields, risk factors and term period of details. Annual yield (%) Risk Factor Time period ( years) Bank deposit 9.5 0.02 6 treasury notes 8.5 0.01 4 corporate deposits 12.0 0.08 3 blue chip stocks 15.0 0.25 5 speculative stocks 32.5 0.45 3 real estates 35.0 0.04 10 Formulate the L.P. model to find the optimal portfolio that will maximize return, considering the following policy guidelines: i) All funds available may be invested ii) Weighted average period of at least 5 years should be the planning horizon iii) Weighted average risk factor must not exceed 0.20 iv) Investment in real estate and speculative stocks together must not be more than 25% of the money investedarrow_forwardSuppose 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 tarrow_forwardBulldogs Inc. has an investment fund amounting to P4,500,000. The portfolio consists of three stocks within the retail industry. P1,350,000 is invested in HLCM, 45% in MWIDE and the remaining in PHN. HLCM and PHN has a beta of 1.50 and 2, respectively. The average return on the market is 9.50% and it is 5% greater than the risk-free rate. The portfolio beta of investment held by Bulldogs Inc. is 2.What is the beta of stock MWIDE? a. 2.55 b. 2.33 c. 3.22 d. 3.55arrow_forward
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