CIMA Updated F3 Exam Questions and Answers by celeste

PPP says identical goods should cost the same when prices are expressed in a common currency, but in reality transport costs, taxes, tariffs, and market imperfections can allow differences to persist.

Answer: C. Economic forces should eliminate the price difference, but imperfections may permit it to persist.

At 1 Jan:

Cost of equity, ke=10%k_e = 10\%ke​=10%

Cost of debt, kd=5%k_d = 5\%kd​=5%

Debt D=100D = 100D=100

Shares = 100m @ $4 → Equity E0=400E_0 = 400E0​=400

Total value V0=D+E0=500V_0 = D + E_0 = 500V0​=D+E0​=500.

WACC under Modigliani & Miller (no tax):

k0=E0V0ke+DV0kd=400500⋅10%+100500⋅5%=8%+1%=9%k_0 = \frac{E_0}{V_0}k_e + \frac{D}{V_0}k_d = \frac{400}{500} \cdot 10\% + \frac{100}{500} \cdot 5\% = 8\% + 1\% = 9\%k0​=V0​E0​​ke​+V0​D​kd​=500400​⋅10%+500100​⋅5%=8%+1%=9%

k0k_0k0​ stays constant.

After the share price falls to $3:

Equity E1=100m×3=300E_1 = 100m \times 3 = 300E1​=100m×3=300

Debt still 100 → D/E1=100/300=0.3333D/E_1 = 100/300 = 0.3333D/E1​=100/300=0.3333

MM no-tax formula:

ke=k0+(k0−kd)DE=9%+(9%−5%)⋅100300=9%+4%⋅0.3333≈9%+1.33%=10.33%k_e = k_0 + (k_0 - k_d)\frac{D}{E} = 9\% + (9\% - 5\%) \cdot \frac{100}{300} = 9\% + 4\% \cdot 0.3333 \approx 9\% + 1.33\% = 10.33\%ke​=k0​+(k0​−kd​)ED​=9%+(9%−5%)⋅300100​=9%+4%⋅0.3333≈9%+1.33%=10.33%

Rounded → 10.3%.

Common data

Existing shares = 6 million

Current share price = $4.00

Funds to raise = $9 million

Director A – 25% discount

Rights issue price:

4.00×(1−0.25)=4.00×0.75=$3.004.00 \times (1 - 0.25) = 4.00 \times 0.75 = \$3.004.00×(1−0.25)=4.00×0.75=$3.00

So C is correct (“The rights issue price will be $3.00 under Director A's proposal.”)

Number of new shares:

9m3.00=3 million shares\frac{9\text{m}}{3.00} = 3\text{ million shares}3.009m​=3 million shares

After issue, total shares = 6m + 3m = 9m. To issue 3m against 6m existing, the terms are:

3 new6 existing=12\frac{3\text{ new}}{6\text{ existing}} = \frac{1}{2}6 existing3 new​=21​

So 1 new share for every 2 existing shares – D is correct.

Director B – 30% discount

Rights issue price:

4.00×(1−0.30)=4.00×0.70=$2.804.00 \times (1 - 0.30) = 4.00 \times 0.70 = \$2.804.00×(1−0.30)=4.00×0.70=$2.80

Number of new shares:

9m2.80≈3.214 million\frac{9\text{m}}{2.80} \approx 3.214\text{ million}2.809m​≈3.214 million

This is more shares than under Director A’s proposal (3.214m > 3m), so B is correct.

Because the total post-issue value is the same ($24m existing + $9m new cash), but Director B issues more shares, the TERP under B will be lower, not higher – so A is false. Total shareholder wealth is the same in theory (ignoring costs and signalling), so E is also false.

Correct statements: B, C, D.