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.

A. True – holding more securities across different industries reduces unsystematic risk.

B. False – systematic risk (market risk) cannot be diversified away.

C. True – beta measures an investment’s systematic risk relative to the market.

D. False – beta of 1 means same risk as the market, not risk-free.

E. True – the Security Market Line (SML) plots expected return against beta (systematic risk).

So the correct three are A, C and E.

Cash flows:

Years 1–3: 100, 100, 100

From year 4: grow at 2% forever. Cost of capital = 12%.

PV of years 1–3:

PV1−3=1001.12+1001.122+1001.123≈240\text{PV}_{1-3} = \frac{100}{1.12} + \frac{100}{1.12^2} + \frac{100}{1.12^3} \approx 240PV1−3​=1.12100​+1.122100​+1.123100​≈240

Terminal value at end of year 3:

Year 4 CF = 100×1.02=102100 \times 1.02 = 102100×1.02=102

TV3=1020.12−0.02=1020.10=1,020\text{TV}_3 = \frac{102}{0.12 - 0.02} = \frac{102}{0.10} = 1{,}020TV3​=0.12−0.02102​=0.10102​=1,020

PV of terminal value:

PV(TV)=1,0201.123≈726\text{PV(TV)} = \frac{1{,}020}{1.12^3} \approx 726PV(TV)=1.1231,020​≈726

Total value ≈ 240+726=966240 + 726 = 966240+726=966.

So the value is $966 million → Option A.