In: Finance
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 | ? |
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