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Fundamentals Level – Skills Module, Paper F9

Financial Management

1 (a) Weighted average cost of capital (WACC) calculation

Cost of equity of KFP Co = 4·0 + (1·2 x (10·5 – 4·0)) = 4·0 + 7·8 = 11·8% using the capital asset pricing model

To calculate the after-tax cost of debt, linear interpolation is needed

After-tax interest payment = 100 x 0·07 x (1 – 0·3) = $4·90

Year Cash flow $ 10% discount PV ($) 5% discount PV ($)

0 Market value (94·74) 1·000 (94·74) 1·000 (94·74)

1 to 7 Interest 4·9 4·868 23·85 5·786 28·35

7 Redemption 100 0·513 51·30 0·711 71·10

––––– –––––

(19·59) 4·71

––––– –––––

After-tax cost of debt = 5 + ((10 – 5) x 4·71)/(4·71 + 19·59) = 5 + 1·0 = 6·0%

Number of shares issued by KFP Co = $15m/0·5 = 30 million shares

Market value of equity = 30m x 4·2 = $126 million

Market value of bonds issued by KFP Co = 15m x 94·74/100 = $14·211 million

Total value of company = 126 + 14·211 = $140·211 million

WACC = ((11·8 x 126) + (6·0 x 14·211))/140·211 = 11·2%

(b) (i) Price/earnings ratio method

Earnings per share of NGN = 80c per share

Price/earnings ratio of KFP Co = 8

Share price of NGN = 80 x 8 = 640c or $6·40

Number of ordinary shares of NGN = 5/0·5 = 10 million shares

Value of NGN = 6·40 x 10m = $64 million

However, it can be argued that a reduction in the applied price/earnings ratio is needed as NGN is unlisted and therefore

its shares are more difficult to buy and sell than those of a listed company such as KFP Co. If we reduce the applied

price/earnings ratio by 10% (other similar percentage reductions would be acceptable), it becomes 7·2 times and the

value of NGN would be (80/100) x 7·2 x 10m = $57·6 million

(ii) Dividend growth model

Dividend per share of NGN = 80c x 0·45 = 36c per share

Since the payout ratio has been maintained for several years, recent earnings growth is the same as recent dividend

growth, i.e. 4·5%. Assuming that this dividend growth continues in the future, the future dividend growth rate will be

4·5%.

Share price from dividend growth model = (36 x 1·045)/ (0·12 – 0·045) = 502c or $5·02

Value of NGN = 5·02 x 10m = $50·2 million

(c) A discussion of capital structure could start from recognising that equity is more expensive than debt because of the relative

risk of the two sources of finance. Equity is riskier than debt and so equity is more expensive than debt. This does not depend

on the tax efficiency of debt, since we can assume that no taxes exist. We can also assume that as a company gears up, it

replaces equity with debt. This means that the company’s capital base remains constant and its weighted average cost of

capital (WACC) is not affected by increasing investment.

The traditional view of capital structure assumes a non-linear relationship between the cost of equity and financial risk. As a

company gears up, there is initially very little increase in the cost of equity and the WACC decreases because the cost of debt

is less than the cost of equity. A point is reached, however, where the cost of equity rises at a rate that exceeds the reduction

effect of cheaper debt and the WACC starts to increase. In the traditional view, therefore, a minimum WACC exists and, as a

result, a maximum value of the company arises.

Modigliani and Miller assumed a perfect capital market and a linear relationship between the cost of equity and financial risk.

They argued that, as a company geared up, the cost of equity increased at a rate that exactly cancelled out the reduction

effect of cheaper debt. WACC was therefore constant at all levels of gearing and no optimal capital structure, where the value

of the company was at a maximum, could be found.

It was argued that the no-tax assumption made by Modigliani and Miller was unrealistic, since in the real world interest

payments were an allowable expense in calculating taxable profit and so the effective cost of debt was reduced by its tax

efficiency. They revised their model to include this tax effect and showed that, as a result, the WACC decreased in a linear

fashion as a company geared up. The value of the company increased by the value of the ‘tax shield’ and an optimal capital

structure would result by gearing up as much as possible.

It was pointed out that market imperfections associated with high levels of gearing, such as bankruptcy risk and agency costs,

would limit the extent to which a company could gear up. In practice, therefore, it appears that companies can reduce their

WACC by increasing gearing, while avoiding the financial distress that can arise at high levels of gearing.

Time allowed

Reading and planning: 15 minutes

Writing: 3 hours a

ALL FOUR questions are compulsory and MUST be attempted.

Formulae Sheet, Present Value and Annuity Tables are on

pages 6, 7 and 8.

Do NOT open this paper until instructed by the supervisor. P

During reading and planning time only the question paper may

be annotated. You must NOT write in your answer booklet until

instructed by the supervisor.

This question paper must not be removed from the examination hall.

The Association of Chartered Certified Accountants