XYZ stock price and dividend history are as follows: Dividend Paid at Year-End $ 3 3 3 3 Year 2018 2019 2020 2021 Beginning-of- Year Price $ 120 145 115 120 An investor buys six 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 seven remaining shares at the beginning of 2021. Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Answer is complete but not entirely correct. Arithmetic time-weighted average returns Geometric time-weighted average returns 3.89% 1.07 X %

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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XYZ stock price and dividend history are as follows:
Year
2018
2019
2020
2021
Beginning-of-
Year Price
$ 120
145
115
120
Dividend Paid at
Year-End
$ 3
3
3
3
An investor buys six 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 seven remaining shares at the beginning of 2021.
Required:
a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Do not round intermediate
calculations. Round your answers to 2 decimal places.)
X Answer is complete but not entirely correct.
Arithmetic time-weighted average returns
Geometric time-weighted average returns
3.89
%
1.07 X %
Transcribed Image Text:XYZ stock price and dividend history are as follows: Year 2018 2019 2020 2021 Beginning-of- Year Price $ 120 145 115 120 Dividend Paid at Year-End $ 3 3 3 3 An investor buys six 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 seven remaining shares at the beginning of 2021. Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (Do not round intermediate calculations. Round your answers to 2 decimal places.) X Answer is complete but not entirely correct. Arithmetic time-weighted average returns Geometric time-weighted average returns 3.89 % 1.07 X %
b-1. 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.
(Negative amounts should be indicated by a minus sign.)
X Answer is complete but not entirely correct.
Date
01/01/2018
01/01/2019
01/01/2020
01/01/2021
Cash Flow
$
(720)
(290)
163 X
868 X
b-2. What is the dollar-weighted rate of return? (Hint: If your calculator cannot calculate internal rate of return, you will have to use
a spreadsheet or trial and error.) (Negative value should be indicated by a minus sign. Round your answer to 4 decimal places.)
X Answer is complete but not entirely correct.
Rate of
return
0.8087%
Transcribed Image Text:b-1. 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. (Negative amounts should be indicated by a minus sign.) X Answer is complete but not entirely correct. Date 01/01/2018 01/01/2019 01/01/2020 01/01/2021 Cash Flow $ (720) (290) 163 X 868 X b-2. What is the dollar-weighted rate of return? (Hint: If your calculator cannot calculate internal rate of return, you will have to use a spreadsheet or trial and error.) (Negative value should be indicated by a minus sign. Round your answer to 4 decimal places.) X Answer is complete but not entirely correct. Rate of return 0.8087%
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