XYZ stock price and dividend history are as follows:   Year Beginning-of-Year Price Dividend Paid at Year-End   2010 $ 124                 $ 4                       2011 $ 135                 $ 4                       2012 $ 115                 $ 4                       2013 $ 120                 $ 4                       An investor buys six shares of XYZ at the beginning of 2010, buys another two shares at the beginning of 2011, sells one share at the beginning of 2012, and sells all seven remaining shares at the beginning of 2013

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XYZ stock price and dividend history are as follows:

Year	Beginning-of-Year Price	Dividend Paid at Year-End
2010	$ 124	$ 4
2011	$ 135	$ 4
2012	$ 115	$ 4
2013	$ 120	$ 4

 

An investor buys six shares of XYZ at the beginning of 2010, buys another two shares at the beginning of 2011, sells one share at the beginning of 2012, and sells all seven remaining shares at the beginning of 2013.

 

a.	What are the arithmetic and geometric average time-weighted rates of return for the investor?

b-1.	Prepare a chart of cash flows for the four dates corresponding to the turns of the year for January 1, 2010, to January 1, 2013. (Negative amounts should be indicated by a minus sign.)

 

Date	Cash Flow
1/1/2010	$
1/1/2011
1/1/2012
1/1/2013

 

b-2.	What is the dollar-weighted rate of return?