Question

In: Finance

You've recorded the following prices and dividend payments for a stock: Quarter Stock price (end of...

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?

Solutions

Expert Solution

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%


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