XYZ stock price and dividend history are as follows: Beginning-of- $ 130 Dividend Paid at Year Year Price Year-End 2021 $ 2 2022 2023 153 2 2024 128 133 2 2 An investor buys five shares of XYZ at the beginning of 2021, buys another two shares at the beginning of 2022, sells one share at the beginning of 2023, and sells all six remaining shares at the beginning of 2024. Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Arithmetic time-weighted average returns Geometric time-weighted average returns % % b-1. Prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2021, to January 1, 2024. Note: Negative amounts should be indicated by a minus sign. Date 01/01/2021 01/01/2022 Cash Flow 01/01/2023 01/01/2024 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.) Note: Do not round intermediate calculations. Negative value should be indicated by a minus sign. Round your answer to 4 decimal places. Rate of return %

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XYZ stock price and dividend history are as follows:
Beginning-of-
$ 130
Dividend Paid at
Year
Year Price
Year-End
2021
$ 2
2022
2023
153
2
2024
128
133
2
2
An investor buys five shares of XYZ at the beginning of 2021, buys another two shares at the beginning of 2022, sells one share at the
beginning of 2023, and sells all six remaining shares at the beginning of 2024.
Required:
a. What are the arithmetic and geometric average time-weighted rates of return for the investor?
Note: Do not round intermediate calculations. Round your answers to 2 decimal places.
Arithmetic time-weighted average returns
Geometric time-weighted average returns
%
%
b-1. Prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2021, to January 1, 2024.
Note: Negative amounts should be indicated by a minus sign.
Date
01/01/2021
01/01/2022
Cash Flow
01/01/2023
01/01/2024
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.)
Note: Do not round intermediate calculations. Negative value should be indicated by a minus sign. Round your answer to 4
decimal places.
Rate of return
%
Transcribed Image Text:XYZ stock price and dividend history are as follows: Beginning-of- $ 130 Dividend Paid at Year Year Price Year-End 2021 $ 2 2022 2023 153 2 2024 128 133 2 2 An investor buys five shares of XYZ at the beginning of 2021, buys another two shares at the beginning of 2022, sells one share at the beginning of 2023, and sells all six remaining shares at the beginning of 2024. Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Arithmetic time-weighted average returns Geometric time-weighted average returns % % b-1. Prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2021, to January 1, 2024. Note: Negative amounts should be indicated by a minus sign. Date 01/01/2021 01/01/2022 Cash Flow 01/01/2023 01/01/2024 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.) Note: Do not round intermediate calculations. Negative value should be indicated by a minus sign. Round your answer to 4 decimal places. Rate of return %
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