You are considering an investment in a mutual fund with a 5% load and an expense ratio of 0.75%. You can invest instead in a bank CD paying 3% interest. Required: a. If you plan to invest for 3 years, what annual rate of return must the fund portfolio earn for you to be better off in the fund than in the CD? Assume annual compounding of returns. b. What annual rate of return must the fund portfolio earn if you plan to invest for 6 years to be better off in the fund than in the CD? c. Now suppose that instead of a front-end load the fund assesses a 12b-1 fee of 0.50% per year. What annual rate of return must the fund portfolio earn for you to be better off in the fund than in the CD? Note: Do not round intermediate calculations. Round your answers to 2 decimal places.

You are considering an investment in a mutual fund with a 5% load and an expense ratio of 0.75%. You can invest instead in a bank CD paying 3% interest. Required: a. If you plan to invest for 3 years, what annual rate of return must the fund portfolio earn for you to be better off in the fund than in the CD? Assume annual compounding of returns. b. What annual rate of return must the fund portfolio earn if you plan to invest for 6 years to be better off in the fund than in the CD? c. Now suppose that instead of a front-end load the fund assesses a 12b-1 fee of 0.50% per year. What annual rate of return must the fund portfolio earn for you to be better off in the fund than in the CD? Note: Do not round intermediate calculations. Round your answers to 2 decimal places.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider the following risk-return characteristics for funds A and B: Expected return Risk Fund A (Equity) 12% 20% Fund B (Debt) 9% 16% The correlation coefficient between the returns of fund A and fund B is 0.4. 1. Which Fund is riskier? Write 1 if your answer is Fund A, write 2 if your answer is Fund B, or write 3 if your answer is undetermined. 2.1 What is the weight of fund A in the minimum variance portfolio? 2.4 What is the risk of the minimum variance portfolio? 2.2 What is the weight of Fund B in the minimum variance portfolio? 2.3 What is the expected return of the minimum variance portfolio?
An investor has $80,000 to invest in a CD and a mutual fund. The CD yields 8% and the mutual fund yields 7%. The mutual fund requires a minimum investment of $9,000, and the investor requires that at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in CDs and how much in the mutual fund to maximize the return? What is the maximum return? To maximize income, the investor should place $ in CDs and $ in the mutual fund. (Round to the nearest dollar as needed.)
a. You expect a tax-free municipal bond portfolio to provide a rate of return of 4.5%. Management fees of the fund are 0.65%. What fraction of portfolio income is given up to fees? (Round your answer to 1 decimal place.) Bond fund b. If the management fees for an equity fund also are 0.65%, but you expect a portfolio return of 17.0%, what fraction of portfolio income is given up to fees? (Round your answer to 1 decimal place.) Equity fund % O Bond fund O Equity fund % c. For which fund might management fees be a bigger factor in your investment decision?
14. You are interested in an investment fund with an expected annual rate of return of 15% and a standard deviation of 12% a year. If you invest $2 million in this fund, what is 95% VaR? In other words, there is 95% confidence that you will not lose more than ( ) over one year. How much money should be in the parentheses? Assume that the returns on the fund follow a normal distribution.
You are considering purchasing a no - load mutual fund with an operating expense of .4% and a 12 b-1 expense of .25% . You are also considering purchasing a CD paying 3.0% per year. What minimum annual rate of return must the fund earn to make you better off in the fund versus the CD Group of answer choices 3.65 % 3.0 % 2.35% 3.4%
A fund starts the year with NAV 46 per share. Over the year, the fund pays out income of 2.5 per share and capital gains distributions of 2.5 per share. Assets in the portfolio grew (shrank) by -0.0025, and an expense ratio of 0.014 is charged at the end of the year.. What is the rate of return on the fund? (Hint: calculate NAV1 first) O 0.0969 O 0.1076 O 0.1002 O 0.0877 O 0.0922
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term bond fund, and the third is a money market fund that provides a safe return of 7%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.10. You require that your portfolio yield an expected return of 16%, and that it be efficient, that is, on the steepest feasible CAL. a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.) Standard deviation Expected Return Standard Deviation 198 31% 23 14 Money market fund Stocks Bonds 19.33 % b. What is the proportion invested in the money market fund and each of the two risky funds? (Round your answers to 2 decimal places.) Proportion Invested
Suppose you are the money manager of a $4.42 million investment fund. The fund consists of four stocks with the following investments and betas: Stock A B C D Beta Investment $360,000 600,000 1,160,000 1.50 (0.50) 1.25 2,300,000 0.75 If the market's required rate of return is 13% 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. %
A risky fund has an expected return of 10% and a standard deviation of 18%. the T-Bill Rate is 5%. An Investor allocates 110% of her retirement portfolio to the risky fund and -10% to T-Bills (recall the negative allocations to T-ills indicates borrowing at the risk free rate) What is the investor's risk aversion coefficient? (PLEASE SHOW WORK!!) A) 2.06 B) -0.71 C) 3.7 D) 1.40
4. Suppose you are a money manager of a $10 million investment fund. The fund is invested in three assets with the following investments and betas: Investment Beta 1.80 0.75 1.20 The remainder is invested in T-bills (risk free asset) with 3% return. a. If the market expected rate of return is 9% what is the fund's expected rate of return? b. Using Funds A and B, create a portfolio (report the portfolio weights and $ investment out of $10 million) with a 0.92 beta. Stock A B C $3,000,000 2,000,000 4,000,000
40) You are considering investing in a no-load mutual fund with an annual expense ratio of 0.60% and an annual 12b-1 fee of 0.75%. You could also invest in a bank CD paying 6.50% per year. What minimum annual rate of return must the fund earn to make you better off in the fund than in the CD? A) 7.10% B) 7.45% C) 7.25% D) 7.85%
Suppose you are the money manager of a $4.66 million investment fund. The fund consists of four stocks with the following investments and betas: Stock Investment Beta A $ 280,000 1.50 B 400,000 (0.50) C 1,280,000 1.25 D 2,700,000 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. %

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