CIMA F3 Exam With Confidence Using Practice Dumps

Pre-acquisition:

Company X: earnings = $50m, P/E = 10 → value = 50 × 10 = $500m; shares = 100m → price = $5

Company Y: earnings = $15m, P/E = 10 → value = 15 × 10 = $150m; shares = 50m → price = $3

Combined earnings = 50 + 15 = $65m

Post-acquisition assumptions:

Earnings increase by 10% → 65 × 1.10 = $71.5m

Combined P/E remains 10 → total market value = 71.5 × 10 = $715m

We want X’s new share price to be 10% higher than $5 → target price = $5.50.

Share price = total value ÷ total X shares after issue:

5.50=715Total shares⇒Total shares=7155.5=130m5.50 = \frac{715}{\text{Total shares}} \Rightarrow \text{Total shares} = \frac{715}{5.5} = 130\text{m}5.50=Total shares715​⇒Total shares=5.5715​=130m

X currently has 100m shares, so must issue 30m new shares to Y’s shareholders.

Y has 50m shares → each Y share must get:

30m50m=0.6 X shares per Y share\frac{30m}{50m} = 0.6 \text{ X shares per Y share}50m30m​=0.6 X shares per Y share

Check options:

B: 3 X for 5 Y → 3/5 = 0.6 X per Y ✔

So that exchange ratio gives exactly 30m new X shares and hence a 10% increase in X’s share price.

Correct answer: B – 3 shares in Company X for 5 shares in Company Y.

A – Retained earnings: When you value equity by discounting cash flows to equity, the result already represents the total value of equity. You don’t then add book retained earnings on top – that would double-count equity.

B – Deducting $400m for the bond: With a FCFE valuation you do not deduct the value of debt at all – the cash flows are already after interest and principal. So deducting the bond is wrong, and in any case they used nominal value ($400m) instead of market value ($380m).

C – Using WACC: Cash flows to equity must be discounted at the cost of equity, not at WACC. WACC is used only when discounting free cash flow to the firm.

Using cash flows to equity (D) is fine, and deducting replacement capex (E) is correct because only free cash after maintaining assets belongs to shareholders.