An investor has decided to invest $175.00 per month in a mutual fund. This type of mutual fund has historically returned an average of 5.75% per year over the last 10 years. The investor understands that historical returns are not indicative of future returns, but wants to project a potential amount that might be available after 5 years of making these monthly investment. What amount might be available at the end of the 5-year period using this historical return number?

An investor has decided to invest $175.00 per month in a mutual fund. This type of mutual fund has historically returned an average of 5.75% per year over the last 10 years. The investor understands that historical returns are not indicative of future returns, but wants to project a potential amount that might be available after 5 years of making these monthly investment. What amount might be available at the end of the 5-year period using this historical return number?

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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The following table shows the average returns for some of the largest mutual funds commonly found in retirement plans. (Assume end-of-month deposits and withdrawals and monthly compounding, and assume that the quoted rate of return continues indefinitely.) Mutual Fund Fidelity Growth Vanguard PIMCO 500 Index Total Return Company Vanguard Total Bond Market Index Rate of Return 15.83% 13.25% 2.77% 3.67% Туре Stock fund Stock fund Bond fund Bond fund You wish to establish a trust fund from which your heirs can withdraw $10,000 per month for 20 years, at the end of which time they will receive $20,000. How large should the trust be if invested in the Fidelity stock fund? HINT [See Example 3.] (Round your answer to the nearest cent.) $
"The following table gives the rate of return for a certain mutual fund from 2010 to 2014: Year Rate of Return 2010 -5.9% 2011 11.4% 2012 1.4% 2013 12.7% 2014 6.5% Compute the overall rate of return during this period. Round your answer to the nearest tenth of a percent."
1. You are trying to plan your investments for the next year. You have decided that the market will either be strong (a bull market), weak (a bear market) or normal. You think that stocks, bonds, and bills will earn the following returns in these scenarios: Scenario Bull market Normal market Bear market Probability 0.20 0.55 0.25 Stock Return 0.25 0.10 -0.15 Bond Return 0.06 0.03 0.02 Bill Return 0.03 0.03 0.03 You have also decided that you have a risk-aversion (A) of 8. (a) What is the expected return for each of the securities? (b) What is the volatility of each security return? What is the covariance between stock and bond returns? (d) If you combine stocks and bills as an investment, what is your op- timal combination? What is your expected return? What is your portfolio's volatility? (e) If you combine bonds and bills, what is your optimal combination? What is your expected return? What is your portfolio's volatility? (f) If you combine stocks and bonds, what is your optimal…
Suppose you invest $5,000 into a mutual fund that is expected to earn a rate of return of 7%. The amount of money you will have in 10 years is closest to which of the following? The amount you will have in 25Lyears is closest to which of the following? O 1) $53,500; $802,500 O 2) $2,552.56; $3,257.79 O 3) $9,835.76; $27,137.16 O 4) $3,138; $ 1,311,892 5) None of the answers are correct
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(%)?
Suppose that at the beginning of Year 1 you invested $10,000 in the Stivers mutual fund and $5000 in the Trippi mutual fund. The value of each investment at the end of each subsequent year is provided in the table below. Which mutual fund performed better? Please show steps in Excel Year Stivers Trippi 1 11,000 5,600 2 12,000 6,300 3 13,000 6,900 4 14,000 7,600 5 15,000 8,500 6 16,000 9,200 7 17,000 9,900 8 18,000 10,600
An investor has $80,000 to invest in Certificates of Deposit (CD) and a mutual fund. The CD yields 7% and the mutual fund yields 8%. The mutual fund requires a minimum investment of $8,000 and the investor requires at least twice as much should be invested in CDs as in the mutual fund. How much should be invested in each to maximize the return? What is the maximum return? Show your work and explanations setting this problem up. Variables should clearly be defined. Show all your work.
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.
An investor is evaluating the historical performance of an investment fund. The following annual returns are provided to the investor: Fund Value Year 0 $120 Year 1 132 Year 2 146 Year 3 133 Year 4 128 Year 5 123 Required: a. Calculate the investment returns for each year. b. Compute the arithmetic mean return. c. Calculate the geometric mean return.
You are going to invest in a stock mutual fund with a front-end load of 5.5 percent and an expense ratio of 1.41 percent. You also can invest in a money market mutual fund with a return of 2.5 percent and an expense ratio of 0.40 percent. If you plan to keep your investment for 2 years, what annual return must the stock mutual fund earn to exceed an investment in the money market fund? What if your investment horizon is 10 years? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.)
Consider an investment fund that starts out with £190,000. After one year, the value of the fund is £203,000. The investor deposits an additional £11,000 to the fund. After a second year, the value of the fund is £207,000. The investor withdraws £41,000. After a third year, the value of the investment fund is worth £177,000. Compute the money-weighted rate of return Enter a percentage correct to 1 decimal place Compute the time-weighted rate of return Enter a percentage correct to 1 decimal place
Stock returns and your retirement account: Suppose your retirement accounthas a balance today of $25,000 and you are 20 years old. If you are investedin a diversifed portfolio of stocks, you might hope that the historical returnof about 6% continues into the future. Consider how the balance in yourretirement account evolves as you age under the diferent assumptions below.(If you like, use a spreadsheet program to help you with this question.)(a) Compute the balance in your retirement account when you will be 25,30, 40, 50, and 65 years old assuming the average annual rate of return is6%. Assume there are no deposits or withdrawals in this account, so theoriginal balance just accumulates.(b) Do the same thing for rate of return of 5% and 7%. How sensitive is thecalculation to the rate of return?(c) Plot your retirement account balance for these three scenarios (6%, 5%,7%) on a standard scale.(d) Do the same thing with a ratio scale.

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