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Year 2018 2019 Beginning-of-Year Price $100 110 Dividend Paid at Year-End $4 4

Year 2018 2019 Beginning-of-Year Price $100 110 Dividend Paid at Year-End $4 4

Essentials Of Investments
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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Am. 405.

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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