Commerce (Code 08) · Unit 4 of 10

Business Finance

व्यावसायिक वित्त

Unit overview: the topics below, with their summaries, are the syllabus for this unit. The comprehensive note further down covers every topic in full — explanations, definitions, worked examples, tables, exam points and practice questions. Standalone one-topic learning pages are not built yet — every topic on this page is covered in the notes and the practice questions below, and each topic card links to those sections.

Premium chapters for this unit

Sources of finance, cost of capital, capital structure → premium chapter · free preview · ~14 min · 4 practice questions

Capital budgeting, working capital and dividend decisions → premium chapter · free preview · ~15 min · 4 practice questions

International finance → premium chapter · free preview · ~14 min · 4 practice questions

Topics checklist — with weightage (platform estimate from past-question frequency, not an NTA guarantee)

Sources of finance, cost of capital, capital structure

High weightage

Scope and sources of finance, lease financing, cost of capital and time value of money, and capital structure.

Capital budgeting, working capital and dividend decisions

High weightage

Conventional and scientific techniques of capital budgeting analysis, working capital management, dividend theories and policies, risk and return analysis, and asset securitisation.

International finance

Medium

International monetary system, foreign exchange market, exchange rate risk and hedging techniques, international financial markets and instruments (Euro currency, GDRs, ADRs), international arbitrage and multinational capital budgeting.

Comprehensive unit note · ~14 min read

Business finance answers three linked questions that every firm must get right: where will money come from, where will it be invested, and how much will be returned to owners. Get the first wrong and the firm pays too much for funds or cannot raise them when needed. Get the second wrong and capital is locked in projects that earn less than they cost. Get the third wrong and the firm either starves growth by paying out too much or disappoints owners by retaining too much. This unit treats those decisions as one system, because the cost of capital links them: it is the hurdle that investment must clear and the return that financing must justify. The unit begins with sources of finance and the cost of each source, building to the weighted average cost of capital and the capital structure question: does borrowing more, up to a point, lower the overall cost and raise value, or does rising risk cancel the benefit of cheaper debt. It then turns to the investment decision through capital budgeting, the day-to-day decision through working capital, and the distribution decision through dividends. International finance closes the unit, because a firm that trades, borrows or invests across borders faces exchange risk, political risk and different capital markets, and must manage exposure rather than merely hope the exchange rate moves favourably. The examination skill here is calculation with interpretation. A net present value, an internal rate of return, a weighted cost or an operating cycle number is only half an answer; the other half is the decision it supports and the assumption it depends on. State the decision rule, show the working, check the result against an alternative method where possible, and note what would change the answer. That habit protects you against the commonest error in finance questions: a correct-looking number attached to the wrong decision.

Learning objectives

  • Compare sources of finance and compute the cost of debt, equity, preference shares and retained earnings.
  • Compute weighted average cost of capital and evaluate capital structure theories.
  • Appraise investment projects using payback, net present value, internal rate of return and profitability index.
  • Manage working capital, cash, receivables, inventory and the operating cycle.
  • Evaluate dividend policies and theories of dividend relevance.
  • Explain exchange rates, exposure and international financing instruments.

Sources of finance, cost of capital, capital structure

Sources of finance are classified by period, ownership and source. Short-term sources include trade credit, bank overdrafts, commercial paper, factoring and short-term loans. Medium-term sources include term loans, debentures and lease finance. Long-term sources include equity shares, preference shares, debentures, retained earnings and term loans. Ownership classification separates owned capital, equity and retained earnings, from borrowed capital, debentures and loans. Internal sources, retained earnings and depreciation provisions, need no fresh issue and carry no repayment obligation, while external sources require issue costs, disclosure and sometimes security. The right mix depends on cost, risk, control, flexibility, maturity matching, and the firm's stage: a young firm leans on equity and internal funds, a mature firm with stable cash flow can support more debt.

Cost of capital is the minimum return a firm must earn on investment to satisfy its fund providers. Cost of debt is interest adjusted for tax, because interest is deductible, so after-tax cost equals interest rate multiplied by one minus the tax rate, adjusted for issue price where debt is issued at premium or discount. Cost of preference shares is dividend divided by net proceeds. Cost of equity is harder because equity has no fixed return; the dividend growth model divides next dividend by current price and adds growth, while the capital asset pricing model adds a risk premium, beta multiplied by market premium, to the risk-free rate. Cost of retained earnings equals cost of equity, since shareholders forgo dividends to fund the firm, with an adjustment for personal tax and brokerage where relevant. Weighted average cost of capital weights each source by its proportion in the capital structure, using market values where available, because book weights may misstate current opportunity cost.

Capital structure theories debate whether the mix affects value. The net income approach argues that cheaper debt lowers overall cost as leverage rises, raising value. The net operating income approach argues that rising equity risk exactly offsets cheaper debt, so overall cost and value are unchanged. The traditional approach argues for an optimum: overall cost falls at first as cheap debt dominates, then rises as financial risk grows, giving a U-shaped cost curve and a value-maximising debt level. The Modigliani and Miller proposition, without taxes, states that value is independent of leverage because investors can replicate leverage themselves; with taxes, debt adds value through the tax shield, implying high debt, a result later softened by bankruptcy costs, agency costs and pecking order behaviour. The pecking order theory argues firms prefer internal funds first, then debt, then equity, because equity issue signals overvaluation. The practical conclusion is a target range rather than a precise point: borrow enough to gain the tax shield and discipline, but not so much that distress risk, loss of flexibility and rising borrowing costs dominate.

Capital budgeting, working capital and dividend decisions

Capital budgeting evaluates long-term investment. The payback period measures how quickly cumulative cash inflows recover the initial outlay, and is simple but ignores cash flows after payback and the time value of money. Discounted payback corrects the second flaw but not the first. Net present value discounts all cash inflows and outflows at the cost of capital and subtracts initial investment: a positive value adds to shareholder wealth and the project should be accepted. Internal rate of return is the discount rate that makes net present value zero: accept if it exceeds the cost of capital. Profitability index divides present value of inflows by initial investment, and is useful for ranking under capital rationing. Where net present value and internal rate of return conflict, for mutually exclusive projects with different scales or timing, net present value is generally preferred because it measures absolute wealth added and assumes reinvestment at the cost of capital, while internal rate of return assumes reinvestment at its own rate and can give multiple values when cash flows change sign more than once.

Working capital is the difference between current assets and current liabilities, and its management is the management of the operating cycle: the time from paying for raw materials to collecting cash from customers. The cycle length equals inventory days plus receivables days minus payables days. A long cycle locks cash in stock and debtors and needs more financing; a short cycle releases cash. Cash management seeks the balance between holding too much idle cash and running out, using cash budgets, Baumol's model for regular cash needs, and Miller and Orr's model where cash flows are unpredictable and control limits trigger transfers. Receivables management sets credit standards, credit period, cash discount and collection policy, trading higher sales against bad debts and financing cost. Inventory management balances ordering cost against carrying cost, with economic order quantity giving the order size that minimises their sum, and techniques such as just-in-time, ABC classification and safety stock controlling different items differently. Overtrading, growing sales faster than working capital can support, is a classic cause of failure in otherwise profitable firms.

Dividend policy decides how much profit to distribute and how much to retain for growth. The Walter model links dividend choice to the relation between return on investment and cost of capital: if return exceeds cost, retention creates value and a low payout is optimal; if return is below cost, distribution is better. The Gordon model similarly values shares through future dividends growing at a rate funded by retention. Modigliani and Miller's dividend irrelevance proposition argues that, under perfect markets with no taxes or transaction costs, dividend policy does not affect value, because investors can create their own dividends by selling shares. In practice, taxes, signalling, agency costs, clientele preferences and the need for stable dividends make policy relevant: a cut may signal trouble, a stable or rising dividend signals confidence, and different investors prefer income or growth. Forms of distribution include cash dividends, bonus shares, share splits, which change the number of shares without changing total capital, and buy-backs, which return cash and reduce shares outstanding.

International finance

International finance studies money flows across borders. The exchange rate is the price of one currency in terms of another, quoted directly or indirectly, with spot rates for immediate delivery and forward rates for future delivery. A forward premium or discount reflects interest rate differentials under covered interest parity: the currency of the higher-interest country tends to trade at a forward discount. Purchasing power parity argues that exchange rates move to equalise price levels, so a country with higher inflation tends to see its currency depreciate. Interest rate parity links interest differentials to forward rates, while the international Fisher effect links interest differentials to expected inflation differentials. These parities are benchmarks, not exact predictions, and deviations create opportunities and risks.

Firms face three kinds of exchange exposure. Transaction exposure arises from contracted foreign currency receivables and payables whose home currency value changes before settlement. Translation exposure arises when foreign subsidiaries' statements are converted into the parent currency. Economic exposure arises from the effect of exchange changes on future competitiveness, demand and costs, even without contracted flows. Hedging tools include forward contracts that lock a rate, futures and options that give flexibility at a price, money market hedges that borrow or lend to offset a flow, netting and leading or lagging within a group, and invoicing in the home currency where bargaining power allows. Each tool trades certainty against cost and flexibility, and hedging a translation exposure that has no cash flow effect may be wasteful.

International financing instruments include Eurocurrency loans, foreign bonds issued in another country's market in its currency, Eurobonds issued in a currency other than that of the market of issue, global depository receipts and American depository receipts that let foreign shares trade domestically, and external commercial borrowings. Institutions such as the International Monetary Fund provide balance of payments support and stability, the World Bank group finances development, and regional development banks finance regional projects. For a firm, the international decision is never only about the cheapest interest rate: currency risk, political risk, convertibility, withholding tax, legal enforcement and the maturity of the local capital market must be weighed alongside the headline rate.

Key definitions

  • Cost of capital: The minimum return a firm must earn on investment to satisfy providers of debt and equity.
  • Weighted average cost of capital: The average cost of all sources of finance, weighted by their proportions in the capital structure.
  • Net present value: Present value of future cash inflows minus initial investment, discounted at the cost of capital.
  • Internal rate of return: The discount rate at which net present value equals zero.
  • Operating cycle: The time from paying for inputs to collecting cash from customers, through inventory and receivables less payables.
  • Economic order quantity: The order size that minimises the sum of ordering cost and carrying cost for inventory.
  • Dividend payout ratio: Dividends divided by earnings, showing the share of profit distributed to shareholders.
  • Transaction exposure: Exchange risk on contracted foreign currency receivables and payables before settlement.
  • Forward contract: An agreement to exchange currencies at a fixed rate on a future date.
  • Eurobond: A bond issued in a currency other than that of the country where it is issued.

Formulas

  • After-tax cost of debt equals Interest rate multiplied by (1 minus Tax rate).
  • Cost of equity by dividend growth model equals Next dividend divided by Current price, plus Growth rate.
  • Capital asset pricing model: Expected return equals Risk-free rate plus Beta multiplied by (Market return minus Risk-free rate).
  • Weighted average cost of capital equals sum of (Weight of source multiplied by Cost of source) over all sources.
  • Net present value equals sum of Cash inflow divided by (1 plus Discount rate) to the power of the year, minus Initial investment.
  • Operating cycle equals Inventory days plus Receivables days minus Payables days.
  • Economic order quantity equals square root of (2 multiplied by Annual demand multiplied by Ordering cost, divided by Carrying cost per unit).

Worked examples

Example 1: A firm has equity of 600000 costing 14 percent and debt of 400000 costing 8 percent after tax. Find the weighted average cost of capital.

Total capital is 1000000. Equity weight is 0.60 and debt weight is 0.40. Weighted cost equals 0.60 multiplied by 14 percent, which is 8.40 percent, plus 0.40 multiplied by 8 percent, which is 3.20 percent, giving 11.60 percent. Any project earning above 11.60 percent on this mix adds value, while a project below it destroys value even if its accounting return looks positive.

Example 2: A project costs 100000 now and returns 30000 at the end of each of the next five years. At a discount rate of 10 percent, is net present value positive? Use annuity logic without a table: present value factor for a five-year annuity at 10 percent is 3.791.

Present value of inflows equals 30000 multiplied by 3.791, which is 113730. Net present value equals 113730 minus 100000, which is 13730, positive. The project should be accepted on this criterion, since it returns more in present value terms than it costs. Note that payback is 100000 divided by 30000, which is 3.33 years, but payback alone would not prove value creation, because it ignores the time value of money.

Example 3: Annual demand for an item is 10000 units, ordering cost is 100 per order, and carrying cost is 2 per unit per year. Find the economic order quantity and the number of orders per year.

Economic order quantity equals the square root of (2 multiplied by 10000 multiplied by 100, divided by 2), which is the square root of 1000000, giving 1000 units. Number of orders per year equals annual demand divided by order quantity, 10000 divided by 1000, which is 10 orders. At this quantity, ordering cost and carrying cost are equal, and total inventory cost is minimised.

Capital budgeting methods compared

MethodDecision ruleStrengthWeakness
Payback periodAccept if payback within limitSimple, shows liquidityIgnores time value and later flows
Net present valueAccept if positiveMeasures wealth addedNeeds discount rate estimate
Internal rate of returnAccept if above cost of capitalIntuitive percentage returnMultiple values, reinvestment assumption
Profitability indexAccept if above 1Useful under rationingFavours small projects when misread

Dividend theories at a glance

TheoryDividend relevanceKey condition
Walter modelRelevantCompare return on investment with cost of capital
Gordon modelRelevantValue through growing future dividends
Modigliani and MillerIrrelevant under perfect marketsNo taxes, transaction costs or signalling

Diagrams (described)

Diagram: traditional capital structure. Horizontal axis debt proportion, vertical axis cost. Cost of debt low and flat then rising, cost of equity rising with leverage, weighted average cost U-shaped with its minimum labelled optimal capital structure.

Diagram: operating cycle timeline. Arrow from payment for raw materials to inventory holding, then to sale, then to receivables collection and cash receipt, with payables period shown as an offset that shortens the cash cycle.

Exam points

  • After-tax cost of debt uses one minus the tax rate because interest is tax deductible.
  • Weighted average cost of capital should use market weights where available, not book weights alone.
  • Net present value above zero means accept; internal rate of return above cost of capital means accept.
  • Where net present value and internal rate of return conflict, net present value is generally preferred.
  • Operating cycle equals inventory days plus receivables days minus payables days.
  • Economic order quantity equates ordering cost with carrying cost at the optimum.
  • Walter model favours retention when return on investment exceeds cost of capital.
  • Transaction exposure concerns contracted flows; economic exposure concerns future competitiveness.

Common mistakes

  • Using pre-tax cost of debt in weighted average cost: debt cost must be after tax.
  • Accepting on payback alone: payback ignores time value and cash flows after payback.
  • Ignoring the reinvestment assumption when internal rate of return and net present value disagree.
  • Treating a share split as a return of cash: it changes share count, not total capital or cash.
  • Hedging translation exposure as if it were a cash flow: translation may not affect cash at all.

Practice questions from this note (original practice — not official PYQs)

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Quick revision: Finance links funding, investment and distribution through the cost of capital. Debt cost is taken after tax, equity cost comes from dividend growth or the capital asset pricing model, and weighted average cost uses market weights. Capital structure theories range from net income and net operating income extremes through the traditional optimum to Modigliani and Miller with taxes and pecking order behaviour, pointing in practice to a target range that balances the tax shield against distress risk. Capital budgeting prefers net present value, with internal rate of return and profitability index as complements and payback as a liquidity check only. Working capital turns on the operating cycle, cash, receivables and inventory management, with economic order quantity balancing ordering against carrying cost. Dividend theories contrast Walter and Gordon relevance with Modigliani and Miller irrelevance under perfect markets, while practice adds signalling, clientele and stability. International finance adds exchange parities, transaction, translation and economic exposure, hedging tools, and cross-border instruments, always weighed against currency, political and market risk, not headline interest rate alone.

Practice questions from the whole unit bank (4 in the bank)

This unit's practice bank — the note above has its own smaller practice set drawn from the same bank, so a question can appear in both lists. The list below shows the free sample or the full bank depending on your plan.

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Related tests

Unit test for this unit (4 bank questions, 5 min) · Full mock for this subject not published yet. All +2 per correct, no negative marking.

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