F3 Exam Dumps : Financial Strategy

For a company valued using the free cash flow to equity with constant growth, the standard Gordon growth formula is:

Value of equity=FCF1ke−g\text{Value of equity} = \frac{\text{FCF}_1}{k_e - g}Value of equity=ke​−gFCF1​​

Where:

FCF₁ = free cash flow in one year’s time

kek_eke​ = cost of equity

ggg = constant growth rate

Here:

FCF₁ = $100,000

ke=10%=0.10k_e = 10\% = 0.10ke​=10%=0.10

g=5%=0.05g = 5\% = 0.05g=5%=0.05

Correct valuation:

Value=100,0000.10−0.05=100,0000.05=$2,000,000\text{Value} = \frac{100{,}000}{0.10 - 0.05} = \frac{100{,}000}{0.05} = \$2{,}000{,}000Value=0.10−0.05100,000​=0.05100,000​=$2,000,000

The analyst instead did:

100,000×(1+0.05)/0.10=105,000/0.10=$1,050,000100{,}000 \times (1 + 0.05) / 0.10 = 105{,}000 / 0.10 = \$1{,}050{,}000100,000×(1+0.05)/0.10=105,000/0.10=$1,050,000

So the true value is $2,000,000 and the analyst’s value is $1,050,000.

Undervaluation=2,000,000−1,050,000=$950,000\text{Undervaluation} = 2{,}000{,}000 - 1{,}050{,}000 = \$950{,}000Undervaluation=2,000,000−1,050,000=$950,000

So the company has been undervalued by $950,000 → Option A.

Let’s walk it through carefully.

1. Current earnings and EPS

EBIT = 5m

Current interest (5% × 10m) = 0.5m

Profit before tax = 5.0 − 0.5 = 4.5m

Tax (20%) = 0.9m

Earnings = 4.5 − 0.9 = 3.6m

Shares = 10m → EPS₀ = 3.6 / 10 = 0.36

Current share price = 3.60 → current P/E = 3.60 / 0.36 = 10 (matches the question context).

2. Earnings next year with higher interest

New interest rate = 6% → interest = 10m × 6% = 0.6m

Profit before tax = 5.0 − 0.6 = 4.4m

Tax (20%) = 0.88m

Earnings = 4.4 − 0.88 = 3.52m

EPS₁ = 3.52 / 10m = 0.352

3. New share price using new P/E

Expected P/E next year = 9.5

Price1=EPS1×P/E1=0.352×9.5=3.344\text{Price}_1 = \text{EPS}_1 \times \text{P/E}_1 = 0.352 \times 9.5 = 3.344Price1​=EPS1​×P/E1​=0.352×9.5=3.344

4. Percentage reduction in share price

Current price = 3.60

New price ≈ 3.344

Drop = 3.60 − 3.344 = 0.256

% reduction=0.2563.60≈7.1%≈7%\%\ \text{reduction} = \frac{0.256}{3.60} \approx 7.1\% \approx 7\%% reduction=3.600.256​≈7.1%≈7%

So the closest option is A. Reduction of 7%.