F3 Exam Dumps : Financial Strategy

Current values (before project):

Equity = 1,100

Debt = 500

Firm value = 1,600

Project cost = 200; NPV = +10.

After the project:

Financed by rights issue (equity only)

Equity = 1,310 → increase of 210

But shareholders have to inject 200 cash themselves.

Net gain in shareholder wealth = 210 − 200 = 10

Financed by bond issue (all debt)

Equity = 1,150 → increase of 50

No new equity cash is put in by shareholders.

Net gain in shareholder wealth = 50

This equals: project NPV (10) + tax shield on extra debt (0.20 × 200 = 40).

Financed by mix of debt & equity at existing D/E

Equity = 1,260 → increase of 160

New equity raised ≈ 137 (since extra debt is 63, total 200).

Net gain = 160 − 137 = 23 (NPV 10 + extra tax shield ≈ 13).

The company’s objective is maximisation of shareholder wealth, so it should choose the financing that gives the highest net increase, which is the bond issue (all debt) with a gain of $50m to equity holders.

This is exactly what Modigliani & Miller with corporate tax predicts: increasing gearing creates value for shareholders via the interest tax shield.

Answer: B. $50 million if financed by debt

Current price = $5.00

Rights discount = 20% → Issue price = 5 × 0.8 = $4.00

Funds required = $20m

Number of new shares:

20m4=5m shares\frac{20\text{m}}{4} = 5\text{m shares}420m​=5m shares

Currently 20m shares in issue, so ratio:

5m20m=14\frac{5\text{m}}{20\text{m}} = \frac{1}{4}20m5m​=41​

So terms = 1 new share for every 4 existing → A.

Before announcement:

Equity = 4m shares × $4.0 = $16m

Debt = $7m

Gearing = 7 / 16 = 43.75% → already above 40%.

After additional $2m debt and higher share price:

Debt = 7 + 2 = $9m

Equity = 4m × $4.2 = $16.8m

Gearing = 9 / 16.8 ≈ 53.6% → even further above the 40% ceiling.

So the gearing objective is exceeded both before and after, and gearing rises.