Justified P/B ratio results interpretation

Question

Hello everybody,

I just answered wrong to a question on the Qbank on Schweser, and i really don't understand why it's wrong so here it is:

Question 44 - #127293
Leslie Singer comments to Robert Chan that Dreamtime Industries’ expected dividend growth rate is 5.0%, ROE is 14%, and required return on equity (r) is 10%. Based on a justified P/B ratio compared to a P/B ratio (based on market price per share) of 1.60, Dreamtime Industries is most likely:

A)	overvalued.
B)	correctly valued.
C)	undervalued.
Your answer: A was incorrect. The correct answer was C) undervalued.
Justified P/B = (ROE − g) / (r − g). When the expected dividend growth is 5.0%, the justified P/B = (0.14 − 0.05) / (0.10 − 0.05) = 1.80. This is greater than the market P/B of 1.60.

For me if the Price to whatever is greater than the benchmark, it's overvalued (big price = too expensive).

Where i am wrong?

edulima · Answer

@Lord_Thomas, let me try something. The problem says the market price is such that P/B is 1.6x. According to "our" valuation model, price (justified) is calculated to be 1.8x "book" (from the ROE-g/r-g formula). So the market is saying 1.6x while we really believe it is 1.8x, so the stock is undervalued and we should buy it. Hope this helps.