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Heh Bro
This will surely help

Po = D1/r-g
Since we are calculating BV which comes from E1 = Bo x ROE (remember B here is the BVPS not ret rate)

If we divide both sides by Bo

Po/Bo = (D1/Bo)/r-g
from the above formula-
= ((D1 x ROE)/E1)/r-g

Notice that E1 is there, therefore we have not used ( x 1+g). If Eo had been in the formula, we would have added a term ( x 1+ g) like what we do in Po/So ratio

Now, D1/E1 is the payout ratio or 1-b
= ((1-b) x ROE )/ r-g

= (ROE- (b x ROE))/ r-g

= (ROE-g)/r-g

Cheers !

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