7. XYZ stock price and dividend history are as follows: Year 2018 2019 2020 2021 Beginning-of-Year Price $100 110 90 95 Dividend Paid at Year-End $4 4 4 4 An investor buys three shares of XYZ at the beginning of 2018, buys another two shares at the beginning of 2019, sells one share at the beginning of 2020, and sells all four remaining shares at the beginning of 2021. (LO 5-1) a. What are the arithmetic and geometric average time-weighted rates of return for the investor? b. What is the dollar-weighted rate of return? (Hint: Carefully prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2018, to January 1, 2021. If your calculator cannot calculate internal rate of return, you will have to use a spreadsheet or trial and error.)

Cornerstones of Financial Accounting
4th Edition
ISBN:9781337690881
Author:Jay Rich, Jeff Jones
Publisher:Jay Rich, Jeff Jones
Chapter10: Stockholder's Equity
Section: Chapter Questions
Problem 74E: Cumulative Preferred Dividends Capital stock of Barr Company includes: As of December 31, 2018, 2...
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7. XYZ stock price and dividend history are as follows:
Year
2018
2019
2020
2021
Beginning-of-Year Price
$100
110
90
95
Dividend Paid at Year-End
$4
4
4
4
An investor buys three shares of XYZ at the beginning of 2018, buys another two shares at the beginning of 2019, sells one share at the
beginning of 2020, and sells all four remaining shares at the beginning of 2021. (LO 5-1)
a. What are the arithmetic and geometric average time-weighted rates of return for the investor?
b. What is the dollar-weighted rate of return? (Hint: Carefully prepare a chart of cash flows for the four dates corresponding to the turns of
the year for January 1, 2018, to January 1, 2021. If your calculator cannot calculate internal rate of return, you will have to use a
spreadsheet or trial and error.)
Transcribed Image Text:7. XYZ stock price and dividend history are as follows: Year 2018 2019 2020 2021 Beginning-of-Year Price $100 110 90 95 Dividend Paid at Year-End $4 4 4 4 An investor buys three shares of XYZ at the beginning of 2018, buys another two shares at the beginning of 2019, sells one share at the beginning of 2020, and sells all four remaining shares at the beginning of 2021. (LO 5-1) a. What are the arithmetic and geometric average time-weighted rates of return for the investor? b. What is the dollar-weighted rate of return? (Hint: Carefully prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2018, to January 1, 2021. If your calculator cannot calculate internal rate of return, you will have to use a spreadsheet or trial and error.)
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