# Fundamentals Level Skills Module, Paper F9. Section A. Mean growth in earnings per share = 100 x [(35 7/30 0) 1/3 1] = 5 97% or 6%

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2 Fundamentals Level Skills Module, Paper F9 Financial Management June 2015 Answers Section A 1 A 2 D 3 D Mean growth in earnings per share = 100 x [(35 7/30 0) 1/3 1] = 5 97% or 6% 4 A 5 D 6 B 7 A 8 C 9 D 10 B Market value = (6 x 5 971) + (105 x 0 582) = = \$ C 12 D 13 C Year CF 15% PV 20% PV) (\$m) DF (\$m) DF (\$m) 0 (6 5) (6 500) (6 500) (0 266) IRR = 15 + [(5 x 0 344)/( )] = = 17 8% 14 A 15 C Optimum cash conversion = (2 x 400 x 150,000/( )) 0 5 = \$54,772 15

3 16 A 17 C Twelve-month forward rate = x (1 02/1 018) = per \$1 18 B 19 D Cost of equity = 4 + (1 2 x 5) = = 10% WACC = (10 x 0 7) + (6 x 0 3) = = 8 8% 20 A Net asset value (NAV) = 140m 15m 20m = \$105m Number of ordinary shares = 25m/0 5 = 50m shares NAV per share = 105m/50m = \$2 10 per share Section B 1 (a) Forward market hedge: The dollar value of a forward market hedge in six months time can be calculated: Future value = 750,000/2 412 = \$310,945 Money market hedge: Rose Co is expecting a euro receipt in six months time and it can hedge this receipt in the money markets by borrowing euros to create a euro liability. These euros can be converted into dollars at spot and then placed on deposit for six months. Euro borrowing rate for 6 months = 8 0/2 = 4% Dollar deposit rate for 6 months = 2 0/2 = 1% Euros to be borrowed now = 750,000/1 04 = 721,154 Dollar value of these euros at spot = 721,154/2 349 = \$307,005 Future value of dollar deposit = 307,005 x 1 01 = \$310,075 The forward market hedge would be better by 310, ,075 = \$870 and would therefore be preferred on financial grounds by Rose Co. A forward rate agreement (FRA) can fix the borrowing rate on a sum of money for an agreed period starting on an agreed future date. A company can use an FRA to manage interest rate risk because the FRA fixes the future borrowing rate for an agreed period, and hence fixes the company s future borrowing cost. If the future interest rate paid by the company turns out to be higher than the borrowing rate in the FRA, the bank will compensate the company with the difference between the two rates applied to the agreed sum for the agreed period. If the future interest rate paid by the company turns out to be less than the borrowing rate in the FRA, the opposite occurs and the company compensates the bank. The net effect is that the company is locked into the borrowing rate specified in the FRA. Because the company is locked into the FRA borrowing rate, the FRA does not allow the company to benefit from favourable interest rate movements. The bank which is a party to the FRA does not need to be the same bank which offers the funds to be borrowed. 2 (a) As the payout ratio has increased from 40 0% in the year to March 2014 to 41 4% in the year to March 2015, the total dividend has increased from \$5,280,000 (13,200,000 x 0 4) for the year to March 2014 to \$5,729,760 (13,840,000 x 0 414) for the year to March This represents dividend growth of 8 52% (5,729,760/5,280,000). Provided the future dividend growth rate is expected to be similar to the historic dividend growth rate, the calculated dividend growth rate of 8 52% can be used in the dividend growth model. The equity market value using the dividend growth model is therefore: (5,729,760 x )/( ) = \$156,229,537 or \$156 2 million. 16

5 (Alternatively, issue costs are \$0 07 per share (280,000/4m) and this is a 1 for 5 rights issue, so the theoretical ex rights price = (5 x ( ))/6 = 20 23/6 = \$3 37 per share) Redemption price of loan notes = 104 x 1 05 = \$ per loan note Nominal value of loan notes redeemed = 10,920,000/(109 20/100) = \$10,000,000 Before-tax interest saving = 10,000,000 x 0 08 = \$800,000 per year After-tax interest saving = 800,000 x (1 0 3) = \$560,000 per year Earnings after redeeming loan notes = 8,400, ,000 = \$8,960,000 per year Revised earnings per share = 100 x (8,960,000/24,000,000) = \$0 373 per share Price/earnings ratio of Grenarp Co before the rights issue = 3 50/0 42 = 8 33 times This price/earnings ratio is not expected to be affected by the redemption of loan notes Share price of Grenarp Co after redeeming loan notes = 8 33 x = \$3 11 per share The wealth of shareholders of Grenarp Co has decreased as they have experienced a capital loss of \$0 26 per share (\$3 37 \$3 11) compared to the theoretical ex rights price per share. The capital structure is considered to be optimal when the weighted average cost of capital (WACC) is at a minimum and the market value of a company is at a maximum. The goal of maximising shareholder wealth might be achieved if the capital structure is optimal. The question of whether Grenarp Co might achieve its optimal capital structure following the rights issue can be discussed from a theoretical perspective by looking at the traditional view of capital structure, the views of Miller and Modigliani on capital structure, and other views such as the market imperfections approach. It is assumed that a company pays out all of its earnings as dividends, and that these earnings and the business risk of the company are constant. It is further assumed that companies can change their capital structure by replacing equity with debt, and vice versa, so that the amount of finance invested remains constant, irrespective of capital structure. The term gearing up therefore refers to replacing equity with debt in the context of theoretical discussions of capital structure. Traditional view The traditional view of capital structure, which ignores taxation, held that an optimal capital structure did exist. It reached this conclusion by assuming that shareholders of a company financed entirely by equity would not be very concerned about the company gearing up to a small extent. As expensive equity was replaced by cheaper debt, therefore, the WACC would initially decrease. As the company continued to gear up, shareholders would demand an increasing return as financial risk continued to increase, and the WACC would reach a minimum and start to increase. At higher levels of gearing still, the cost of debt would start to increase, for example, because of bankruptcy risk, further increasing the WACC. Views of Miller and Modigliani Miller and Modigliani assumed a perfect capital market, where bankruptcy risk does not exist and the cost of debt is constant. In a perfect capital market, there is a linear relationship between the cost of equity and financial risk, as measured by gearing. Ignoring taxation, the increase in the cost of equity as gearing increases exactly offsets the decrease in the WACC caused by the replacement of expensive equity by cheaper debt, so that the WACC is constant. The value of a company is therefore not affected by its capital structure. When Miller and Modigliani included the effect of corporate taxation, so that the after-tax cost of debt was used instead of the before-tax cost of debt, the decrease in the WACC caused by the replacement of expensive equity by cheaper debt was greater than the increase in the cost of equity, so that the WACC decreased as a company geared up. The implication in terms of optimal capital structure was that a company should gear up as much as possible in order to decrease its WACC as much as it could. Market imperfections view When other market imperfections are considered in addition to the existence of corporate taxation, the view of Miller and Modigliani that a company should gear up as much as possible is no longer true. These other market imperfections relate to high levels of gearing, bankruptcy risk and the costs of financial distress, and they cause the cost of debt and the cost of equity to increase, so that the WACC increases at high levels of gearing. Grenarp Co The question of whether Grenarp Co might achieve its optimal capital structure following the rights issue can also be discussed from a practical perspective, by considering if increasing the gearing of the company would decrease its WACC. This would happen if the marginal cost of capital of the company were less than its WACC. Unfortunately, there is no information provided on the marginal cost of capital of Grenarp Co, although its gearing is not high. Before the rights issue, the debt/equity ratio of Grenarp Co was 35% on a book value basis and 45% on a market value basis, while after the redemption of loan notes the debt/equity ratio would fall to 21% on a book value basis and 28% on a market value basis. 18

6 5 (a) Calculation of expected net present value Year \$000 \$000 \$000 \$000 Revenue 4,524 7,843 13,048 10,179 Variable cost (2,385) (4,200) (7,080) (5,730) Contribution 2,139 3,643 5,968 4,449 Overhead (440) (484) (532) (586) Cash flow before tax 1,699 3,159 5,436 3,863 Tax (510) (948) (1,631) (1,159) Depreciation benefits Cash flow after tax 1,527 2,549 4,143 3,042 Scrap value 500 Project cash flow 1,527 2,549 4,143 3,542 Discount at 11% Present values 1,376 2,070 3,029 2,334 \$000 PV of future cash flows 8,809 Initial investment (5,000) Expected net present value (ENPV) 3,809 The investment project has a positive ENPV of \$3,809,000. This is a mean or average NPV which will result from the project being repeated many times. However, as the project is not being repeated, the NPVs associated with each future economic state must be calculated as it is one of these NPVs which is expected to occur. The decision by management on the financial acceptability of the project will be based on these NPVs and the risk associated with each one. Workings Mean or average selling price = (25 x 0 35) + (30 x 0 5) + (35 x 0 15) = \$29 per unit Year Inflated selling price (\$ per unit) Sales volume (units/year) 150, , , ,000 Sales revenue (\$000/year) 4,524 7,843 13,048 10,179 Year Inflated overhead (\$000/year) Total tax-allowable depreciation = 5,000, ,000 = \$4,500,000 Annual tax-allowable depreciation = 4,500,000/4 = \$1,125,000 per year Annual cash flow from tax-allowable depreciation = 1,125,000 x 0 3 = \$337,500 per year Sensitivity analysis assesses the extent to which the net present value (NPV) of an investment project responds to changes in project variables. Two methods are commonly used: one method determines the percentage change in a project variable which results in a negative NPV, while the other method determines the percentage change in NPV which results from a fixed percentage change (for example, 5%) in each project variable in turn. Whichever method is used, the key or critical project variables are identified as those to which the NPV is most sensitive, for example, those where the smallest percentage change results in a negative NPV. Sensitivity analysis is therefore concerned with calculating relative changes in project variables. When discussing risk in the context of investment appraisal, it is important to note that, unlike uncertainty, risk can be quantified and measured. The probabilities of the occurrence of particular future outcomes can be assessed, for example, and used to evaluate the volatility of future cash flows, for example, by calculating their standard deviation. The probabilities of the future economic states in the assessment of the investment project of Hraxin Co are an example of probability analysis and these probabilities can lead to an assessment of project risk. Sensitivity analysis is usually studied in investment appraisal in relation to understanding how risk can be incorporated in the investment appraisal process. While sensitivity analysis can indicate the critical variables of an investment project, however, sensitivity analysis does not give any indication of the probability of a change in any critical variable. Selling price may be a critical variable, for example, but sensitivity analysis is not able to say whether a change in selling price is likely to occur. In the appraisal of the investment project of Hraxin Co, the probabilities of different selling prices arising with related economic states have come from probability analysis, not from sensitivity analysis. Sensitivity analysis will not therefore directly assist Hraxin Co in assessing the risk of the investment project. However, it does provide useful information which helps management to gain a deeper understanding of the investment project and which focuses management attention on aspects of the investment project where problems may arise. 19

7 Fundamentals Level Skills Module, Paper F9 Financial Management June 2015 Marking Scheme Section A Marks Marks 1 20 Two marks per question 40 Section B 1 (a) Dollar value of forward market hedge 1 Euro borrowing rate 1 Dollar deposit rate 1 Dollar value of money market hedge 1 Decision as to best hedge 1 Explanation of forward rate agreement 1 Relevant discussion (a) Dividend growth rate 1 Equity market value using dividend growth model 2 3 Equity market value using earnings yield method 2 (c) Cash-based and profit-based valuation methods 1 2 Information used by valuation methods 1 2 Other relevant discussion 1 2 Maximum (a) Reduction in trade receivables 1 Reduction in financing cost 1 Reduction in administration costs 1 Saving in bad debts 1 Increase in financing cost 1 Factor s annual fee 1 Advice on acceptance of factor s offer 1 Bank and other references 1 Credit rating 1 Other relevant discussion

8 Marks 4 (a) Rights issue price 0 5 New shares issued 0 5 Net cash raised by rights issue 0 5 Theoretical ex rights price per share 1 Buy-back price of loan notes 0 5 Nominal value of loan notes redeemed 1 Before-tax interest saving 0 5 After-tax interest saving 0 5 Revised earnings 0 5 Revised earnings per share 0 5 Revised share price using price/earnings ratio method 1 Comment on effect of redemption on shareholders wealth 1 Marks 8 Traditional view of capital structure 1 3 Miller and Modigliani views of capital structure 1 3 Other relevant discussion 1 3 Maximum (a) Mean selling price per unit 0 5 Inflated selling price per unit 1 Inflated revenue 1 Inflated overhead 1 Tax liabilities 1 Timing of tax liabilities 1 Tax-allowable depreciation benefits 1 Scrap value 0 5 Present values of future cash flows 1 Comment on financial acceptability 1 9 Explanation of sensitivity analysis 1 3 Explanation of risk in investment appraisal 1 2 Discussion of sensitivity analysis and risk 1 3 Maximum

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