XYZ's stock price and dividend history are as follows:

Year	Beginning-of-Year Price				Dividend Paid at Year-End
2018	$	128			$	4
2019		154				4
2020		115				4
2021		128				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.

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, 2018, to January 1, 2021. If your calculator cannot calculate internal rate of return, you will have to use trial and error.) (Round your answer to 4 decimal places. Negative amount should be indicated by a minus sign.)

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7-6 Part b(1): Title Title Title Title Additions: Investment Earnings: Total Investment Earnings Total Additions Deductions: Total Deductions Change in Fiduciary Net Position Net Position - Beginning Net Position - Ending 7-6 Part b(1): Title Title Title Title Additions: Investment Earnings: Total Investment Earnings Total Additions Deductions: Total Deductions Change in Fiduciary Net Position Net Position - Beginning Net Position - Ending