CIMA F3 Exam With Confidence Using Practice Dumps

Company B (all equity):

Cost of equity = asset return = Ku = 17%

Company A:

Gearing D:E = 1:2 → D/E = 0.5

Pre-tax cost of debt Kd = 7%

Tax rate T = 30%

Levered cost of equity with tax:

Ke=Ku+DE(1−T)(Ku−Kd)K_e = K_u + \frac{D}{E}(1 - T)(K_u - K_d)Ke​=Ku​+ED​(1−T)(Ku​−Kd​) Ke=17%+0.5×0.7×(17%−7%)=17%+0.5×0.7×10%=17%+3.5%=20.5%K_e = 17\% + 0.5 \times 0.7 \times (17\% - 7\%) = 17\% + 0.5 \times 0.7 \times 10\% = 17\% + 3.5\% = 20.5\%Ke​=17%+0.5×0.7×(17%−7%)=17%+0.5×0.7×10%=17%+3.5%=20.5%

✅ Correct: A. 20.5%

The assistant has discounted free cash flows to all investors at the WACC (10%). That gives the value of the business (enterprise value), not directly the value of equity.

For a geared company:

If you discount free cash flows to the firm (all investors) at the WACC, you obtain the total value of the firm (V).

To get equity value (E), you must then subtract the market value of debt (D):

E=V−DE = V - DE=V−D

Here, the company has a $6m 7% undated bond trading at par, so the market value of debt is $6m. That amount has not been deducted.

The other options are not errors:

The perpetuity discounting using 7.91.102×0.10\frac{7.9}{1.10^2 \times 0.10}1.102×0.107.9​ is correct for a constant cash flow from year 3 onward.

Using WACC (10%) is appropriate for FCFF.

Tax at 20% is already reflected in either the cash flows or the WACC; it is not “missing” as a separate line.

So the specific mistake is failing to deduct the $6m debt value, i.e. option D.

Net book value of equity = $20m

Net realisable value of equity = $25m

Free cash flow to equity = $3.5m indefinitely

Cost of equity (ke) = 10%

Value from FCFE (perpetuity):

Vequity=3.50.10=35mV_{\text{equity}} = \frac{3.5}{0.10} = 35\text{m}Vequity​=0.103.5​=35m

A reasonable minimum is the break-up / net realisable value = $25m.

A reasonable maximum is the going-concern DCF value = $35m.

Answer: A. Minimum $25.0m, maximum $35.0m