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# XYZ stock price and dividend history are as follows:

XYZ stock price and dividend history are as follows:

Year Beginning-of-Year Price Dividend Paid at Year-End
2007 \$ 320 \$ 6
2008 \$ 330 \$ 6
2009 \$ 310 \$ 6
2010 \$ 315 \$ 6

An investor buys 3 shares of XYZ at the beginning of 2007, buys another 2 shares at the beginning of 2008, sells 1 share at the beginning of 2009, and sells all 4 remaining shares at the beginning of 2010.

Requirement 1:

What are the arithmetic and geometric average time-weighted rates of return for the investor? (Round your answers to 2 decimal places. Omit the "%" sign in your response.)

Arithmetic mean %
Geometric mean %

Requirement 2:
(a)

What is the dollar-weighted rate of return? (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places. Omit the "%" sign in your response.)

Rate of return %

(b)

Prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2007, to January 1, 2010. (Negative amounts should be indicated by a minus sign. Omit the "\$" sign in your response.)

Year Cash flow
2007 \$
2008 \$
2009 \$
2010 \$

SOLUTION:
a) Return = (Capital Gains + Dividend) / Price
Year
2008
2009
2010
Airthmetic Mean Returns
5.00%
-4.24%
3.55%
1.44% Geometric Mean = (((100% + 5%) * (100% - 4.24%) * (100 + 3.55%))^(1/3))...

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