Financial Management: Functions, Capital Structure Theories, Cost of Capital, Sources of Finance, Budgeting and Leverages
2. Capital structure: theories, cost of capital and sources of finance
| Theory | Assumption about Kd and Ke | Conclusion |
|---|---|---|
| Net income approach (Durand) | Kd and Ke both constant as leverage rises; debt is cheaper | More debt lowers the overall cost Ko and raises value; optimum at 100% debt — relevance |
| Net operating income approach (Durand) | Ko constant; Ke rises exactly enough to offset cheaper debt | Value independent of leverage; every structure is optimum — irrelevance |
| Traditional approach (Solomon) | Ke rises slowly at first then sharply; Kd rises after a point | Ko falls, reaches a minimum, then rises — an optimum range of moderate leverage; U-shaped Ko |
| Modigliani-Miller without taxes (1958) | Perfect markets, no taxes, homogeneous risk classes, personal and corporate borrowing at the same rate — arbitrage | Proposition I: value is independent of capital structure (the NOI result proved by arbitrage); Proposition II: Ke = Ko + (Ko − Kd) × D/E |
| Modigliani-Miller with corporate taxes (1963) | Interest is tax-deductible | Value of levered firm = value of unlevered firm + present value of the tax shield (t × D); optimum at 100% debt |
| Trade-off theory | Tax shield against bankruptcy and agency costs of debt | An interior optimum where marginal shield equals marginal distress cost — the modern statement of the traditional view |
| Pecking order (Myers and Majluf, 1984) | Asymmetric information; issuing equity signals over-valuation | Firms prefer internal funds, then debt, then equity last; no target ratio |
| Signalling, agency and market-timing views | Ross's signalling; Jensen's free-cash-flow discipline of debt; Baker and Wurgler's timing | Debt signals confidence and curbs managerial waste; structure is the residue of past issue windows |
Cost of capital is the minimum rate of return a firm must earn on its investments to keep the market value of its shares unchanged — the investors' required return, the hurdle rate for capital budgeting. Its components: cost of debt after tax Kd = I(1 − t) ÷ net proceeds, or for redeemable debt the yield that equates proceeds with the after-tax interest and redemption value, approximated by [I(1 − t) + (RV − NP)/n] ÷ [(RV + NP)/2]; cost of preference Kp = preference dividend ÷ net proceeds, not tax-deductible, with the same redemption adjustment; cost of equity by the dividend growth (Gordon) model Ke = D1/P0 + g, by the capital asset pricing model Ke = Rf + β(Rm − Rf), by the earnings-price approach Ke = EPS/P0, or by bond yield plus risk premium; cost of retained earnings Kr = Ke, or Ke adjusted for personal tax and brokerage since retention spares the shareholder those; the weighted average cost of capital Ko = Σ(weight × component cost), weighted at book values or, preferably, market values, and the marginal cost of capital that rises in steps as cheaper sources are exhausted (the break points). Explicit cost is the discount rate that equates funds received with outflows; implicit cost is the opportunity cost of the funds — the return on the best alternative forgone.
| By term | Sources | Points the paper tests |
|---|---|---|
| Long-term ownership funds | Equity shares (IPO, FPO, rights issue, bonus issue, private placement, qualified institutional placement, sweat equity, ESOPs), preference shares (cumulative, participating, convertible, redeemable — must be redeemed within 20 years under the Companies Act), retained earnings (ploughing back), venture capital and private equity, angel funds | Equity carries residual claim and voting; preference has fixed dividend and priority; retained earnings are the cheapest external-cost-free source but not cost-free (Kr = Ke); rights issue under s. 62 is offered to existing holders in proportion |
| Long-term borrowed funds | Debentures and bonds (secured or unsecured, convertible or non-convertible, redeemable, zero-coupon, deep-discount, floating-rate; debenture redemption reserve), term loans from banks and development finance institutions, external commercial borrowings, foreign currency convertible bonds, masala bonds, lease finance, public deposits (up to three years), securitisation | Interest is deductible, so debt is cheaper than equity but adds financial risk; a debenture holder is a creditor, not an owner; convertible debentures bridge the two |
| Medium-term | Term loans of one to five years, hire purchase, leasing, medium-term notes | Lease rentals are deductible and the lessor keeps ownership; hire purchase transfers ownership on the last instalment |
| Short-term | Trade credit, bank overdraft and cash credit, bills discounting, working-capital demand loans, commercial paper (7 days to one year, rated, from companies with net worth of 4 crore or more), factoring, inter-corporate deposits, accrued expenses and provisions, advances from customers | Trade credit is 'spontaneous' finance; its implicit cost when a cash discount is forgone is discount ÷ (1 − discount) × 365 ÷ extra days |
| Internal versus external | Internal: retained earnings, depreciation provision, sale of assets. External: everything raised from outside | Pecking order predicts internal first; depreciation is a source of funds in the funds-flow sense though not a cash inflow |
3. Budgeting and budgetary control: types, process and zero-base budgeting
A budget is a financial and quantitative statement prepared and approved before a defined period of the policy to be pursued during that period for attaining a given objective (the CIMA definition); budgetary control is the establishment of budgets relating managers' responsibilities to the requirements of a policy, and the continuous comparison of actual with budgeted results to secure the objective or provide a basis for its revision. The process runs: set the budget period and the key (principal budget) factor — the constraint, usually sales, that all other budgets must fit — form a budget committee under a budget officer, issue the budget manual, prepare the functional budgets (sales first, then production, materials, purchases, labour, overheads, capital expenditure, cash, research), consolidate them in the master budget (budgeted profit and loss account and balance sheet), obtain approval, and then report variances by responsibility centre — cost, revenue, profit and investment centres. Its advantages are coordination, communication, delegation, motivation through participation and control by exception; its dangers are rigidity, padding and budgetary slack, gaming to meet targets, spend-it-or-lose-it behaviour, and treating the budget as a ceiling rather than a plan. Beyond Budgeting (Hope and Fraser) and rolling forecasts are the modern critique.
| Basis | Types | Point tested |
|---|---|---|
| Time | Long-term (capital), short-term (annual, quarterly), current, rolling or continuous (always twelve months ahead) | A rolling budget adds a period as one expires |
| Function | Sales, production, materials, purchases, labour, overhead, cash, capital expenditure, R&D, master budget | Sales budget is prepared first because sales is usually the key factor; the cash budget is the most important for liquidity |
| Flexibility | Fixed (static) budget — one activity level; flexible budget — recast for the actual level using cost behaviour | Only a flexible budget gives meaningful variances when output differs from plan |
| Approach | Incremental (last year plus a percentage); zero-base; performance (programme) budgeting — outputs and outcomes; activity-based budgeting; participative (bottom-up) versus imposed (top-down) | Incremental budgeting perpetuates past inefficiency, which is the case for ZBB |
4. Leverages, EBIT-EPS analysis, financial break-even and the indifference point
| Leverage | Formula | Meaning | Worked value |
|---|---|---|---|
| Operating leverage | DOL = contribution ÷ EBIT = % change in EBIT ÷ % change in sales | Sensitivity of operating profit to sales, caused by fixed operating costs; business risk | Contribution 4,00,000, EBIT 2,00,000: DOL = 2 |
| Financial leverage | DFL = EBIT ÷ EBT = EBIT ÷ (EBIT − interest − preference dividend/(1 − t)) = % change in EPS ÷ % change in EBIT | Sensitivity of EPS to operating profit, caused by fixed financial charges; financial risk; 'trading on equity' | EBT 1,00,000: DFL = 2 |
| Combined (total) leverage | DCL = DOL × DFL = contribution ÷ EBT = % change in EPS ÷ % change in sales | Total risk to the shareholder; a firm with high DOL should keep DFL low | DCL = 4: a 10% fall in sales cuts EPS 40% |
Favourable financial leverage — trading on equity — exists when the firm earns more on borrowed funds than they cost, so that EPS and return on equity rise with debt; it is unfavourable when the return on assets falls below the interest rate. EBIT-EPS analysis compares financing plans by computing EPS at various levels of EBIT: EPS = (EBIT − I)(1 − t) − Dp, divided by the number of equity shares, N. The plan with more debt has a steeper EPS line, so it wins at high EBIT and loses at low EBIT. The financial break-even point is the EBIT at which EPS is zero — the EBIT that just covers interest and the pre-tax equivalent of preference dividend: EBIT = I + Dp/(1 − t); below it the shareholder loses. The indifference point (EBIT-EPS break-even between two plans) is the EBIT at which both plans give the same EPS, found by equating (EBIT − I1)(1 − t)/N1 with (EBIT − I2)(1 − t)/N2 (adding the preference adjustment where relevant); above it the higher-debt plan gives higher EPS, below it the equity plan does. Because EPS ignores risk, the choice also weighs the variability of EPS, the coverage ratios, cash-flow ability to service debt, control (equity dilutes the promoters' vote) and flexibility to borrow later.
Key takeaways
- Wealth maximisation beats profit maximisation because it counts timing, risk and cash flows; the three decisions are investment, financing and dividend, with liquidity as the fourth; agency costs align managers with owners.
- NI says debt lowers Ko; NOI and MM (no tax) say structure is irrelevant; the traditional view has a U-shaped Ko with an optimum range; MM with tax adds the tax shield t × D; pecking order goes internal, debt, equity.
- Kd is after tax, Kp is not; Ke = D1/P0 + g or Rf + β(Rm − Rf); Kr = Ke; WACC weights by market value where possible; MM II: Ke = Ko + (Ko − Kd)D/E.
- Sales is usually the key factor and its budget comes first; a flexible budget recasts costs for actual output; ZBB (Pyhrr, 1970) justifies every decision package from zero and ranks them; responsibility centres are cost, revenue, profit and investment.
- DOL = contribution ÷ EBIT, DFL = EBIT ÷ EBT, DCL = DOL × DFL; financial break-even EBIT = I + Dp/(1 − t); the indifference point equates EPS under two plans, and above it the debt plan wins.
Practice questions (9)
Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.
Wealth maximisation is preferred to profit maximisation as the goal of financial management because it:
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Answer: A — Accounts for the time value of money and risk through discounted cash flows
Profit maximisation is vague about which profit, ignores timing and risk, and is open to accounting manipulation; wealth maximisation uses the present value of expected cash flows adjusted for risk, which is what the share price reflects.According to the Net Operating Income approach to capital structure:
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Answer: A — The overall cost of capital and the value of the firm are independent of the degree of leverage
Under NOI the cost of equity rises exactly enough to offset the cheaper debt, so Ko is constant — the irrelevance result MM later proved by arbitrage. Continuous rise is the NI approach, the U-shape the traditional approach, and the ordering the pecking order theory.Modigliani and Miller's 1963 correction for corporate taxes concludes that the value of a levered firm equals the value of an unlevered firm plus:
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Answer: A — The present value of the interest tax shield
Because interest is deductible, each rupee of perpetual debt adds t × D of value, implying an all-debt optimum; the trade-off theory then subtracts expected bankruptcy and agency costs to find an interior optimum. The 1958 no-tax paper is the irrelevance result.A company's equity share sells at 200 rupees, the expected dividend next year is 10 rupees and dividends are expected to grow at 6% a year. Using the dividend growth model, the cost of equity is:
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Answer: A — 11%
Ke = D1/P0 + g = 10/200 + 0.06 = 0.05 + 0.06 = 11%. Forgetting the growth term gives 5%; adding 10% instead of the yield gives 16%.In computing the weighted average cost of capital, the cost of debt is taken after tax because:
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Answer: A — Interest on debt is a tax-deductible expense, so the government bears part of it
Kd = I(1 − t) ÷ net proceeds. Preference dividend and equity dividend are paid out of after-tax profit and get no such adjustment, which is one reason debt is the cheaper source to the firm.Zero-base budgeting, in which every activity must be justified afresh each period through ranked decision packages, was developed by:
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Answer: A — Peter Pyhrr at Texas Instruments (1970)
Pyhrr's ZBB was adopted by Jimmy Carter for Georgia in 1973 and later the US federal budget. Drucker gave MBO, Kaplan the balanced scorecard, and Brown the DuPont ratio decomposition.The degree of financial leverage is measured as:
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Answer: A — EBIT ÷ EBT (percentage change in EPS ÷ percentage change in EBIT)
DFL = EBIT ÷ EBT captures the effect of fixed financial charges. Contribution ÷ EBIT is operating leverage (fixed operating costs) and contribution ÷ EBT is combined leverage, the product of the two.A firm has interest of 2,00,000 rupees, preference dividend of 1,50,000 rupees and a tax rate of 25%. Its financial break-even point (EBIT at which EPS is zero) is:
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Answer: A — 4,00,000 rupees
EBIT = I + Dp/(1 − t) = 2,00,000 + 1,50,000/0.75 = 2,00,000 + 2,00,000 = 4,00,000. Preference dividend is paid from after-tax profit, so it must be grossed up; adding it without grossing up gives the 3,50,000 distractor.At the EBIT-EPS indifference point between an all-equity plan and a debt-equity plan:
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Answer: A — Both plans yield the same EPS; above it the debt plan yields higher EPS
The indifference point equates (EBIT − I1)(1 − t)/N1 with (EBIT − I2)(1 − t)/N2. The debt plan's EPS line is steeper, so it overtakes the equity plan above the crossing. Zero EPS defines the financial break-even point, a different concept; WACC minimisation belongs to capital structure theory.