XYZ stock price and dividend history are as follows: Dividend Paid at Year-End $3 Year 2018 2019 2020 2021 Beginning-of-Year Price 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. $ 120 145 115 120 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 Date 01/01/2018 01/01/2010 01/01/2020 01/01/2021 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.) Rate of return Cash Flow $ (720) (417) 139 868 4.00 % 3.61 % 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.) (5.0000) %
XYZ stock price and dividend history are as follows: Dividend Paid at Year-End $3 Year 2018 2019 2020 2021 Beginning-of-Year Price 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. $ 120 145 115 120 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 Date 01/01/2018 01/01/2010 01/01/2020 01/01/2021 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.) Rate of return Cash Flow $ (720) (417) 139 868 4.00 % 3.61 % 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.) (5.0000) %
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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Question

Transcribed Image Text:XYZ stock price and dividend history are as follows:
Beginning-of-Year Dividend Paid at
Year-End
Price
$3
3
Year
2018
2019
2020
2021
$ 120
145
115
120
Arithmetic time-weighted average returns
Geometric time-weighted average returns
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.
Date
01/01/2018
01/01/2019
01/01/2020
01/01/2021
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.)
Rate of return
3
Cash Flow
$
3
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.)
(720)
(417)
139
868
Check my work
(5.0000) %
4.00 %
3.61 %
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.)
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