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Help wanted, implied growth rate from GGM

Hi guys
I just cant get my head around the working out for calculating an implied growth rate when given the P0, D0 and r.
Example, stock is $28.5, recently paid div of $2.15 and required rate is 10.5%, the answer is 2.75% but no idea how the reading got to that!
Any explanation appreciated. Thanks

I doubt such elementary BS would show up on the exam. Unless they want the passing rate to be 80%.

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Thank you,  algebra never my strong point.

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Just look out for what is given - D0 vs. D1

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why are you studying now?…bit early for L2 2014….

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the formula is V = Do (1+g) / (r-g)
Plug in the values and we have:
28.5 = 2.15(1+g) / 0.105 - g
and find g
2.9925 - 28.5g = 2.15 + 2.15g
30.65g = 0.8425
therefore g = 0.02748 = 2.75%

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