XYZ's stock price and dividend history are as follows: Year Beginning-of-Year Price Dividend Paid at Year-End 2019 $ 155 2020 185 2021 145 2022 155 An investor buys three shares of XYZ at the beginning of 2019, buys another two shares at the beginning of 2020, sells one share at the beginning of 2021, and sells all four remaining shares at the beginning of 2022. $3 3 3 3 Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Round your year-by-year rates of return and final answers to 2 decimal places. Do not round other calculations.) Arithmetic average rate of return Geometric average rate of return % %
XYZ's stock price and dividend history are as follows: Year Beginning-of-Year Price Dividend Paid at Year-End 2019 $ 155 2020 185 2021 145 2022 155 An investor buys three shares of XYZ at the beginning of 2019, buys another two shares at the beginning of 2020, sells one share at the beginning of 2021, and sells all four remaining shares at the beginning of 2022. $3 3 3 3 Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Round your year-by-year rates of return and final answers to 2 decimal places. Do not round other calculations.) Arithmetic average rate of return Geometric average rate of return % %
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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Transcribed Image Text:XYZ's stock price and dividend history are as follows:
Year Beginning-of-Year Price Dividend Paid at Year-End
2019
$ 155
2020
185
2021
145
2022
155
Arithmetic
average rate of return
Geometric average rate of return
An investor buys three shares of XYZ at the beginning of 2019, buys another two shares at the beginning of 2020, sells one share at
the beginning of 2021, and sells all four remaining shares at the beginning of 2022.
$ 3
3
3
Required:
a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Round your year-by-year rates of
return and final answers to 2 decimal places. Do not round other calculations.)
%
%
Dollar-weighted rate of return
wwww
3
%
b. What is the dollar-weighted rat of return? (Hint. Carefully prepare a chart of cash flows for the four dates corresponding to the turns
of the year for January 1, 2019, to January 1, 2022. If your calculator cannot calculate IRR, you will have to use trial and error or a
spreadsheet program.) (Round your answer to 4 decimal places. Negative amount should be indicated by a minus sign.)
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