XYZ's stock price and dividend history are as follows: Year Beginning-of-Year Price Dividend Paid at Year-End 2019 $ 180 $ 4 2020 200 4 2021 170 4 2022 180 4 An investor buys three shares of XYZ at the beginning of 2019, buys another two shares at the beginning of 2020, sells one share at the beginning of 2021, and sells all four remaining shares at the beginning of 2022. Required: a. What are the arithmetic and geometric average time-weighted rates of return for the investor? (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, 2019, to January 1, 2022. (Round your answer to 4 decimal places. Negative amount should be indicated by a minus sign.)
XYZ's stock price and dividend history are as follows:
| Year | Beginning-of-Year Price | Dividend Paid at Year-End |
|---|---|---|
| 2019 | $ 180 | $ 4 |
| 2020 | 200 | 4 |
| 2021 | 170 | 4 |
| 2022 | 180 | 4 |
An investor buys three shares of XYZ at the beginning of 2019, buys another two shares at the beginning of 2020, sells one share at the beginning of 2021, and sells all four remaining shares at the beginning of 2022.
Required:
a. What are the arithmetic and geometric average time-weighted
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, 2019, to January 1, 2022. (Round your answer to 4 decimal places. Negative amount should be indicated by a minus sign.)
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