XYZ's stock price and dividend history are as follows: Dividend Paid Beginning-of- Year 2020 Year Price at Year-End $ 190 2021 2022 2023 200 180 190 $ 5 5 5 5 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 % % %
XYZ's stock price and dividend history are as follows: Dividend Paid Beginning-of- Year 2020 Year Price at Year-End $ 190 2021 2022 2023 200 180 190 $ 5 5 5 5 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 % % %
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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Bhupatbhai
Transcribed Image Text:XYZ's stock price and dividend history are as follows:
Dividend Paid
Beginning-of-
Year
Year Price
at Year-End
2020
$ 190
2021
2022
2023
200
180
190
$ 5
5
5
5
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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