Intrinsic P/E

Is there a difference btw this and justified P/E? I just came across several versions of the intrinsic P/E formula when doing some end of chapter CFAI questions. Here are the ones I have, am I missing any? P/E = tangible P/E + franchise P/E = 1 / r + franchise factor * growth factor = 1 / r + {[(1 / r) - (1 / ROE)] * [g / (r - g)]} = 1 / r * {1 + [b \* (ROE - r)] / [r - (ROE * b)]} = 1 / r * {1 + [g - (b * r)] / (r - g)} = D / (r - g) = [E * (1 + g)] / (r - g)

1 / r + {[(1 / r) - (1 / ROE)] / [g / (r - g)]} just remember this one…

Don’t you mean 1 / r + {[(1 / r) - (1 / ROE)] * [g / (r - g)]} I changed one of your / to a *

oops i realized i mistyped it in my first post…corrected now