XYZ stock price and dividend history are as follows: Dividend Paid at Year-End $4 Year 2018 2019 2020 2021 Beginning-of-Year Price $ 100 110 90 95 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. 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.) Arithmetic time-weighted average returns 3 15 %

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:
Beginning-of-Year
Dividend Paid at
Year-End
Price
$100
110
$ 4
4
90
95
Year
2018
2019
2020
2021
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.
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.)
Arithmetic time-weighted average returns
Geometric time-weighted average returns
2018
2019
2020
2021
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.)
Date
4
4
Cash Flow
$
Rate of return
(300)
(208)
110
396
3.15 %
2.33 %
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.)
0.4965 %
↑
Transcribed Image Text:es XYZ stock price and dividend history are as follows: Beginning-of-Year Dividend Paid at Year-End Price $100 110 $ 4 4 90 95 Year 2018 2019 2020 2021 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. 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.) Arithmetic time-weighted average returns Geometric time-weighted average returns 2018 2019 2020 2021 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.) Date 4 4 Cash Flow $ Rate of return (300) (208) 110 396 3.15 % 2.33 % 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.) 0.4965 % ↑
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