XYZ's stock price and dividend history are as follows: Year 2020 2021 2022 2023 Beginning-of- Year Price $ 160 170 140 160 Dividend Paid at Year-End $ 2 2 2 2 An investor buys three shares of XYZ at the beginning of 2020, buys another two shares at the beginning of 2021, sells one share at the beginning of 2022, and sells all four remaining shares at the beginning of 2023. Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? Note: Round your year-by-year rates of return and final answers to 2 decimal places. Do not round other calculations. 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, 2020, to January 1, 2023. If your calculator cannot calculate internal rate of return, you will have to use trial and error.) Note: Round your answer to 4 decimal places. Negative amount should be indicated by a minus sign. a. Arithmetic average rate of return a. Geometric average rate of return b. Dollar-weighted rate of return % % %

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 69E: Stock Dividends Crystal Corporation has the following information regarding its common stock: S10...
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XYZ's stock price and dividend history are as follows:
Year
2020
2021
2022
2023
Beginning-of-
Year Price
$ 160
170
140
160
Dividend Paid
at Year-End
$ 2
2
2
2
An investor buys three shares of XYZ at the beginning of 2020, buys another two shares at the beginning of 2021, sells
one share at the beginning of 2022, and sells all four remaining shares at the beginning of 2023.
Required:
a. What are the arithmetic and geometric average time-weighted rates of return for the investor?
Note: Round your year-by-year rates of return and final answers to 2 decimal places. Do not round other
calculations.
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, 2020, to January 1, 2023. If your calculator cannot calculate
internal rate of return, you will have to use trial and error.)
Note: Round your answer to 4 decimal places. Negative amount should be indicated by a minus sign.
a. Arithmetic average rate of return
a. Geometric average rate of return
b. Dollar-weighted rate of return
%
%
%
Transcribed Image Text:XYZ's stock price and dividend history are as follows: Year 2020 2021 2022 2023 Beginning-of- Year Price $ 160 170 140 160 Dividend Paid at Year-End $ 2 2 2 2 An investor buys three shares of XYZ at the beginning of 2020, buys another two shares at the beginning of 2021, sells one share at the beginning of 2022, and sells all four remaining shares at the beginning of 2023. Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? Note: Round your year-by-year rates of return and final answers to 2 decimal places. Do not round other calculations. 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, 2020, to January 1, 2023. If your calculator cannot calculate internal rate of return, you will have to use trial and error.) Note: Round your answer to 4 decimal places. Negative amount should be indicated by a minus sign. a. Arithmetic average rate of return a. Geometric average rate of return b. Dollar-weighted rate of return % % %
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