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XYZ stock price and dividend history are as follows:
Year
Beginning-of-Year Price
Dividend Paid at Year-End
1998
$100
$4
1999
120
4
2000
90
2001
100
An investor buys three shares of XYZ at the beginning of 1998, buys another two shares at the beginning of 1999, sells one share at the beginning of 2000, and sells all four remaining shares at the beginning of 2001.
a. What are the arithmetic and geometric average time-weighted rates of return for the investor?
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, 1998, to January 1, 2001. If your calculator cannot calculate internal rate of return, you will have to use trial and error.)
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