1. MassMutual Super Select Fund has 4 million shares outstanding. Its portfolio holds 200,000 shares of Stock A, 300,000 shares of Stock B, 400,000 shares of Stock C, and 600,000 shares of Stock D. The fund pays management fee $30,000 annually. The follow table shows stock price at the end of year 2020 and 2021. Year Stock 2020 2021 A $35 $38 B $40 $42 C $20 $19 D $25 $25 a) What is the Net Asset Value (NAV) at the end of 2020 and 2021? b) During 2020-2021, the fund paid income distribution $0.3/share and capital gain distribution $0.2/share. What is the return rate to fund investor from 2020 to 2021?

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter3: Data Visualization
Section: Chapter Questions
Problem 6P: The file MutualFunds contains a data set with information for 45 mutual funds that are part of the...
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1. MassMutual Super Select Fund has 4 million shares outstanding. Its portfolio holds 200,000
shares of Stock A, 300,000 shares of Stock B, 400,000 shares of Stock C, and 600,000 shares of
Stock D. The fund pays management fee $30,000 annually. The follow table shows stock price at
the end of year 2020 and 2021.
Year \ Stock
2020
2021
A
$35
$38
B
$40
$42
C
$20
$19
D
$25
$25
a) What is the Net Asset Value (NAV) at the end of 2020 and 2021?
b) During 2020-2021, the fund paid income distribution $0.3/share and capital gain distribution
$0.2/share. What is the return rate to fund investor from 2020 to 2021?
2. Investors paid $12.30 per share to starting investing in T. Rowe Price Emerging Market Fund.
If there is a front-end load of 5%, what is the Net Asset Value (NAV) of this fund?
3. Mutual fund PQR charges a front-end load 4%, operating expense 1%, 12b-1 fee 0.2%, and
back-end load 0.5%. The annual return rate from the fund (before fees) is 12%.
a) What is the after-fee annual return rate to fund investors?
b) You invested $20,000 in PQR at the beginning of the year and sold all shares at the end of the
year. What is your cash out balance and return rate for the year?
4. Loaded-Up Fund charges a 12b-1 fee of 1% and an operating expense 0.75%. Economy Fund
charges a front-end load of 2% and an operating expense 0.25%. Assume the rate of return on
both funds' portfolio (before any fees) is 6% per year. How much will an investment of $1,000
in each fund grow to after a) 1 year? b) 3 years? c) 10 years?
5. STU Fund sells Class A shares with a front-end load of 6% and Class B shares with 12b-1 fee
of 0.5% annually as well as back-end load fees that start at 5% and fall by 1% for each full year
the investor holds the portfolio (until after the 5th year). Assume the portfolio rate of return net of
operation expenses is 10% annually.
a) If you plan to sell the fund after 4 full years, are Class A or Class B the better choice for you?
b) What if you plan to sell the fund after 15 years?
6. You are considering a mutual fund with a 4% front-end load and an operating expense 0.5%.
You can also instead invest in a bank CD paying 6% interest.
a) If you plan to invest for two years, what annual rate of return must the mutual fund portfolio
earn for you to be better off than investing in the CD?
b) What would be your answer if you plan to invest for five years?
Transcribed Image Text:1. MassMutual Super Select Fund has 4 million shares outstanding. Its portfolio holds 200,000 shares of Stock A, 300,000 shares of Stock B, 400,000 shares of Stock C, and 600,000 shares of Stock D. The fund pays management fee $30,000 annually. The follow table shows stock price at the end of year 2020 and 2021. Year \ Stock 2020 2021 A $35 $38 B $40 $42 C $20 $19 D $25 $25 a) What is the Net Asset Value (NAV) at the end of 2020 and 2021? b) During 2020-2021, the fund paid income distribution $0.3/share and capital gain distribution $0.2/share. What is the return rate to fund investor from 2020 to 2021? 2. Investors paid $12.30 per share to starting investing in T. Rowe Price Emerging Market Fund. If there is a front-end load of 5%, what is the Net Asset Value (NAV) of this fund? 3. Mutual fund PQR charges a front-end load 4%, operating expense 1%, 12b-1 fee 0.2%, and back-end load 0.5%. The annual return rate from the fund (before fees) is 12%. a) What is the after-fee annual return rate to fund investors? b) You invested $20,000 in PQR at the beginning of the year and sold all shares at the end of the year. What is your cash out balance and return rate for the year? 4. Loaded-Up Fund charges a 12b-1 fee of 1% and an operating expense 0.75%. Economy Fund charges a front-end load of 2% and an operating expense 0.25%. Assume the rate of return on both funds' portfolio (before any fees) is 6% per year. How much will an investment of $1,000 in each fund grow to after a) 1 year? b) 3 years? c) 10 years? 5. STU Fund sells Class A shares with a front-end load of 6% and Class B shares with 12b-1 fee of 0.5% annually as well as back-end load fees that start at 5% and fall by 1% for each full year the investor holds the portfolio (until after the 5th year). Assume the portfolio rate of return net of operation expenses is 10% annually. a) If you plan to sell the fund after 4 full years, are Class A or Class B the better choice for you? b) What if you plan to sell the fund after 15 years? 6. You are considering a mutual fund with a 4% front-end load and an operating expense 0.5%. You can also instead invest in a bank CD paying 6% interest. a) If you plan to invest for two years, what annual rate of return must the mutual fund portfolio earn for you to be better off than investing in the CD? b) What would be your answer if you plan to invest for five years?
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