Explanation

To determine if Company A is undervalued, fairly valued, or overvalued, we need to calculate its justified P/E ratio using the Gordon growth model and compare it to the peer P/E of 8.0.

The Gordon growth model formula for P/E is:

$P/E = \frac{1 - b}{r - g}$

Where:

• $b$ = Retention rate = 30% = 0.30
• $r$ = Required rate of return = 10% = 0.10
• $g$ = Growth rate = 5% = 0.05

First, calculate the dividend payout ratio: $1 - b = 1 - 0.30 = 0.70$

Now substitute into the formula: $P/E = \frac{0.70}{0.10 - 0.05}$ $P/E = \frac{0.70}{0.05} = 14.0$

The justified P/E for Company A is 14.0, while the peer P/E is 8.0. Since Company A's justified P/E (14.0) is higher than the peer P/E (8.0), Company A appears undervalued relative to its peers.

This makes sense because Company A has the same growth and risk profile as its peers, but a higher justified P/E suggests the market is not fully valuing its potential.