Question

In: Finance

XYZ stock price and dividend history are as follows:   Year Beginning-of-Year Price Dividend Paid at Year-End...

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.

To compute dollar-weighted return, 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. (Enter your answer as an integer. Negative amounts should be indicated by a minus sign.)

Date      Cash Flow (for the investor)
1/1/2010 ?

Solutions

Expert Solution

Year Price at the begin Dividend received at year end return(%)
2010 $124 $4
2011 $135 $4 12.097 ((135-124+4)/124)*100
2012 $115 $4 -11.852 ((115-135+4)/135)*100
2013 $120 $4 7.826 ((120-115+4)/115)*100
Date net cash flow

Cumulative Number of shares

01/01/2010 -$744 [ buy 6 shares * $124 per share] -124*6 6
01/01/2011 -$246 [ buy 2 shares * $135 per share]+[received $4 dividend*6 shares] (-135*2)+(4*6) 6+2=8
01/01/2012 $147 [sell one share* $115 per share]+[ received $4 dividend*8 shares] (1*115)+(8*4) 8-1=7
01/01/2013 $868 [sell seven share* $120 per share]+[ received $4 dividend*7 shares] (120*7)+(4*7) 7-7=0

Dollar weighted return is the IRR of the cash flow = 0.961%

IRR can be calculated in excel by using the IRR formula function


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