In: Finance
You've recorded the following prices and dividend payments for a stock:
Quarter | Stock price (end of quarter) |
Dividend per share (end of quarter) |
Shares bought or sold (after dividend payment) |
Shares held (before div. payment) |
0 | 61.32 | 4 | 0 | |
1 | 99.25 | 3.65 | 1 | 4 |
2 | 83.54 | 3.65 | 0 | 5 |
3 | 111.72 | 3.65 | -2 | 5 |
4 | 79.01 | 3.65 | -3 | 3 |
What was the dollar-weighted (money-weighted) rate of return?
Quarter | Stock price (end of quarter) |
Dividend per share (end of quarter) |
Shares bought or sold (after dividend payment) |
Shares held (before div. payment) |
Cash flows | formula | remarks |
0 | 61.32 | 4 | 0 | -245.28 | [-61.32*4] | ||
1 | 99.25 | 3.65 | 1 | 4 | -84.65 | (-99.25*1)+(3.65*4) | [ bought 1 ahsre at 99.25+ received dividend on 4 hares] |
2 | 83.54 | 3.65 | 0 | 5 | 18.25 | [3.65*5] | [ Received dividend on 5 hares] |
3 | 111.72 | 3.65 | -2 | 5 | 241.69 | (111.72*2)+(3.65*5) |
[ sold 2 shares at 111.72 each + received dividend on 5 shares, because ahsres has been sold after receiving the dividend] |
4 | 79.01 | 3.65 | -3 | 3 | 247.98 | (79.01*3)+(3.65*3) |
[ sold 3 shares at 79.01 each + received dividend on 3 shares, because shares has been sold after receiving the dividend] |
Dollar weighted rate of return is the rate at which ,
Discounted PV of the cash inflows+ Discounted PV of the cash out flow = 0
It is also known as the IRR or internal rate of return.
IRR can be calculated in exxcel by IRR function
here IRR or Money weighted rate of return = 14.5%