Score 8+ CGPA ๐ฏ
Score 8+ CGPA ๐ฏ
College ยท B.Com. (Programme) ยท Semester 3
DSC-3.2 โ Fundamentals of Financial Management
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๐ Most Important Topic: Operating cycle, credit policy, liquidityโprofitability trade-off, financing approaches, lengthening/shortening of credit, factors affecting WC, EOQ
๐ก Exam Tip: Whenever a question mentions "conflicting objectives of a finance manager," it's almost always asking about Liquidity vs Profitability (Q3) โ always answer with the inverse-relationship diagram + risk-return trade-off table.
Working capital refers to the funds required by a firm to carry out its day-to-day operations. Gross Working Capital simply means the total investment a firm has made in its current assets (cash, inventory, debtors, etc.), while Net Working Capital is the more meaningful figure โ it is Current Assets minus Current Liabilities, and tells us how much of the current assets are actually financed by long-term, permanent sources rather than by short-term creditors.
Working Capital Management, at its core, is the exercise of balancing two competing goals: liquidity (having enough cash/near-cash to meet obligations) and profitability (not letting funds sit idle, since idle funds earn nothing). Every firm needs some working capital permanently โ this is called Permanent Working Capital, the minimum level of current assets a business must always carry to keep running smoothly, regardless of season. On top of this, most businesses also experience seasonal or occasional spikes in requirement โ for instance, a firm may need extra inventory before a festive season rush โ and this additional, fluctuating layer is called Temporary (or Fluctuating) Working Capital.
Once we understand these two types, the natural next question is: how should a firm finance them? There are three broad approaches:
1. Hedging / Matching Approach โ Under this approach, the firm matches the maturity of its financing with the maturity of its needs. Since permanent WC is needed forever, it should be financed by long-term sources (equity, debentures, term loans). Since temporary WC is needed only occasionally, it should be financed by short-term sources (bank credit, trade credit). This creates a "matching" of fund-source maturity with fund-use duration, and results in a moderate, balanced risk profile.
2. Conservative Approach โ Here the firm plays it safe. It finances not just all of its permanent WC but also a good chunk of its temporary WC using long-term funds, and uses short-term borrowing only sparingly. This gives the firm very high liquidity and very low risk of a cash crunch โ but because long-term funds are typically costlier and get "parked" even when not fully needed, profitability tends to be lower.
3. Aggressive Approach โ This is the opposite extreme. The firm finances even a part of its permanent working capital using short-term funds, because short-term funds are usually cheaper than long-term funds. This can push up profitability significantly โ but it is risky, because short-term funds must be renewed/rolled over frequently, and if credit markets tighten or a lender refuses renewal, the firm could face a serious liquidity crisis even though it "shouldn't" have, since permanent WC needs are just as certain as day one.
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| Approach | Permanent WC financed by | Temporary WC financed by | Risk | Profitability |
|---|---|---|---|---|
| Hedging/Matching | Long-term | Short-term | Moderate | Moderate |
| Conservative | Long-term | Long-term (mostly) | Low | Low |
| Aggressive | Partly Short-term | Short-term | High | High |
The amount of working capital a firm needs is not a fixed number โ it varies from business to business and depends on several factors:
Nature and Size of Business โ Trading and financial firms usually have low investment in fixed assets but need a lot of working capital because their entire business model revolves around buying and reselling goods or managing funds. Manufacturing firms, and especially seasonal manufacturing businesses (like cigarette or construction companies), need high inventory levels, which pushes up their WC requirement. Service firms, on the other hand, tend to have high fixed assets (equipment, offices) but comparatively low working capital needs since they don't hold physical inventory.
Manufacturing / Operating Cycle โ The longer the time it takes to convert raw material into cash (via production, sale and collection), the more funds remain "blocked" in the process at any given time, so a longer operating cycle directly means a higher working capital requirement. A shorter cycle means funds are recovered quickly and can be redeployed, lowering the requirement.
Frequency of Turnover of Sales and Debtors โ If a firm sells its inventory quickly (high sales turnover), it needs to hold less inventory at any point, lowering WC. Similarly, if debtors pay up quickly (high debtor turnover), the firm's money isn't tied up in receivables for long. Efficient credit management โ chasing overdue customers promptly, offering discounts for early payment โ reduces the funds a firm needs to keep on hand.
Demand and Supply Conditions โ When demand is seasonal or fluctuates, the firm needs extra working capital to stock up before peak periods. Similarly, if raw material supply is irregular or subject to shortages, the firm is forced to hold larger safety inventories, raising WC needs. Stable demand and a smooth, reliable supply chain reduce this requirement.
Overall Operating Efficiency โ A well-run firm that uses its resources efficiently โ good inventory control, tight production scheduling, prompt collections โ needs less working capital to achieve the same level of output/sales. This factor depends heavily on the skill and discipline of the finance manager and operations team.
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Working capital management plays a vital role in ensuring smooth business operations. A finance manager must maintain an optimum level of working capital, which directly affects the firm's liquidity and profitability. However, these two objectives move in opposite directions, making them competing goals.
Liquidity refers to the firm's ability to meet its short-term obligations and maintain smooth day-to-day operations. Profitability refers to the firm's ability to earn adequate returns by efficiently using its resources. A balance between the two is essential because both matter for long-term survival โ a firm that is very liquid but unprofitable will eventually erode shareholder value, while a firm that is very profitable but illiquid could go bankrupt even while "on paper" doing well.
High liquidity reduces profitability. If a firm holds excessive current assets โ large cash balances, high inventory levels, or liberal credit terms for customers โ those funds remain idle. The cost of holding inventory rises (storage, insurance, obsolescence), and the return the firm could have earned by investing those funds elsewhere is lost. For example, a company that holds large stocks purely to avoid production delays ties up funds that could have gone into more profitable investments, lowering its overall return.
High profitability reduces liquidity. If a firm follows an aggressive working capital policy โ keeping low cash balances, minimal inventory, and enforcing strict credit collection โ more funds get freed up for productive, profit-generating assets, boosting profitability. But this comes at the cost of liquidity: the firm becomes more exposed to cash shortages, may struggle to pay creditors on time, could face production stoppages if raw materials run out, and runs a higher risk of insolvency in a downturn.
This creates an inverse relationship: more liquidity means less profitability, and more profitability means less liquidity โ a continuous conflict that the finance manager must manage.
The finance manager's role, therefore, is to avoid excessive liquidity, avoid excessive risk, and maintain a balanced level of working capital that ensures adequate liquidity without sacrificing profitability. This links directly to the concept of the RiskโReturn Trade-off: every financial decision involves risk (uncertainty of returns) and return (expected benefit), and generally, higher risk brings the possibility of higher return, while lower risk brings lower return. In working capital terms, a Conservative policy means low risk and low return, while an Aggressive policy means high risk and high return. The firm must choose a working capital level where risk and return are optimally balanced.
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Inverse relationship: More liquidity โ less profitability | More profitability โ less liquidity.
| Policy | Risk | Return |
|---|---|---|
| Conservative | Low | Low |
| Aggressive | High | High |
| Hedging/Matching | Moderate | Moderate |
โ Conclusion: Liquidity and profitability are competing objectives, and the primary aim of working capital management is to achieve a judicious balance between them so the firm maintains smooth operations while maximising shareholder value.
Cash management refers to the planning, controlling, and handling of cash and near-cash items within a firm. Its central purpose is to ensure that the firm always has sufficient cash on hand โ neither too much (which leads to opportunity cost, since idle cash earns nothing) nor too little (which threatens liquidity and disrupts payments).
Cash is required for all daily payments and smooth operations; adequate cash prevents delays in paying wages, bills, and suppliers. But excess cash reduces profitability because idle funds don't earn returns โ so an "optimum" cash level, not a maximum one, is the goal.
Objectives of Cash Management:
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Several factors determine how much cash a firm needs to hold at any given time:
| Factor | Effect on Cash Needs |
|---|---|
| Cash/Operating Cycle | Longer cycle โ Higher cash needs |
| Non-synchronization of flows | Mismatch โ Higher cash holding |
| Cost of holding cash | Higher opportunity cost โ Less idle cash |
| Volume of operations | Larger scale โ More cash |
| Business fluctuations | Seasonal โ Extra temporary cash |
| Credit policy | Liberal credit โ Higher cash needs |
| Inventory policy | Large inventory โ Higher cash needs |
| Managerial efficiency | Efficient ops โ Lower cash needs |
"Short costs" are the costs that arise specifically because of a shortage of cash. When a firm doesn't have enough cash on hand to meet its obligations, it incurs several types of costs:
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Firms use two broad categories of techniques to speed up cash inflow:
Speeding Up Cash Receipts: Send invoices promptly and accurately so customers can pay without delay; offer cash discounts to encourage quicker payment; use self-addressed envelopes so customers can return payment easily; and send timely reminders to slow-paying customers.
Speeding Up Conversion into Usable Cash: Deposit all receipts immediately and daily rather than letting them sit; reduce the processing time of cheques; use decentralised collection centres to reduce the transit time for payments coming from different regions; and reduce "float" by using electronic payments and faster clearance methods.
Cash inflows (from sales and debtors) and cash outflows (for materials, wages, bills) rarely match perfectly in timing โ this mismatch is called non-synchronisation of cash flows. When outflows happen before the corresponding inflows arrive, a temporary cash shortage arises, which in turn triggers the "short costs" discussed above: transaction costs of converting securities, borrowing costs from emergency loans, loss of cash discounts, a lower credit rating and loss of goodwill, penalties for delay, and interruptions to production and operations.
Firms hold cash for four broad motives:
| Motive | Purpose |
|---|---|
| Transaction | Routine payments โ wages, materials, bills |
| Precautionary | Emergencies / unexpected situations |
| Speculative | Taking advantage of profitable opportunities |
| Compensation | Minimum bank balance requirement |
Permanent Working Capital (PWC) is the minimum level of working capital a firm requires at all times to run its day-to-day business smoothly. It refers to a constant investment in current assets โ a minimum level of stock, minimum cash, and minimum receivables that the business must always carry. It behaves, in a sense, like a fixed asset: it remains in the business permanently and does not fluctuate with changes in sales volume. It ensures uninterrupted operations and supports the base level of production. It is also known as Fixed Working Capital.
Temporary Working Capital (TWC) is the additional working capital required over and above PWC during peak periods or seasonal demand. It rises with fluctuations in sales, production, or market conditions, and is needed to maintain extra inventory or meet a sudden increase in demand. It is temporary in nature and reduces once demand returns to normal โ it is mainly used to cover short-term operational fluctuations. It is also known as Fluctuating Working Capital.
| Basis | Permanent WC | Temporary WC |
|---|---|---|
| Nature | Constant, base-level | Fluctuating, seasonal |
| Duration | Permanent | Temporary |
| Also known as | Fixed Working Capital | Fluctuating Working Capital |
| Correlation with sales | Independent | Varies with sales/demand |
โ ๏ธ Common Confusion: Permanent WC โ Fixed Assets. Permanent WC is the minimum current assets needed constantly (e.g., minimum stock/cash) โ it's still a current asset, just non-fluctuating.
Long-Term Sources (used to finance Permanent Working Capital): Shares (both Equity and Preference), Debentures, Term loans from banks/financial institutions, and Retained earnings.
Short-Term Sources (used to finance Temporary Working Capital):
Bank Credit is the most important and widely used source โ it can be short-term or medium-term, is given against security, and carries interest charges. It comes in several forms: Demand loan, Advances, Overdraft facility, Cash credit, Letter of credit, and Bill discounting.
Trade Credit โ suppliers allow the firm to buy goods on credit, and the firm uses this credit period as a short-term source of working capital finance.
Advances from Customers โ customers sometimes pay in advance, and this advance payment helps the firm finance its operations.
Cash Credit โ a secured loan similar to an overdraft; the firm can withdraw up to a fixed limit, but interest is charged only on the amount actually used.
Discounting of Bills โ when goods are sold on credit, the firm receives bills receivable. Banks can discount these bills and give the firm money immediately, helping it avoid waiting until the bill's maturity date.
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Float is the difference between the cash balance shown in a firm's own books and the balance shown in the bank's books, arising due to the time gap involved in cheque processing.
Payment Float refers to cheques issued by the firm that have not yet been cleared by the bank. The firm's own books show a reduced balance (since the cheque has been issued), but the bank balance is still higher (since the cheque hasn't been presented/cleared yet).
Collection Float refers to cheques the firm has received and deposited, but which the bank has not yet realised. The firm's books show an increase (money received), but the bank balance hasn't actually increased yet.
Net Float is the difference between payment float and collection float. A positive net float gives the firm a temporary benefit (it can use funds that technically haven't left its account yet) โ but this is also risky, since it can lead to overestimating actual available cash.
Components of Float: Mail time, Processing time, Collection time.
Objective of Float Management: To reduce the time gap between the inflow and outflow of cash, to ensure funds are available as quickly as possible, and to reduce cash requirements by speeding up collections while delaying payments within permissible limits.
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(a) Concentration Banking: The firm opens collection centres in important locations where its customers are concentrated. Customers pay at the nearest collection centre instead of sending payment all the way to the head office. Collection centres deposit the money in local banks, and surplus funds are periodically transferred to the head office bank account. This helps reduce mail and processing time, thus speeding up collections โ though it is now less relevant given the rise of digital banking.
(b) Lock-Box System: The firm hires a post office box where customers mail their cheques directly. The bank collects cheques from this lock-box several times a day and deposits them directly into the firm's account. This eliminates delays in receiving and depositing cheques, reduces collection cost, and shortens the collection float โ it's especially useful when collections are spread across many cities.
(c) Cash Budget: A cash budget is an estimate of the expected cash receipts and payments for a future period. It shows whether there will be a surplus or a shortage of cash at the end of the period, and is generally prepared monthly given its short-term nature. Its objectives are: ensure sufficient cash to meet all obligations on time; help plan short-term loans in case of a shortage; assist in investing surplus cash profitably; support overall financial planning and control; and help decide whether capital expenditure can be financed internally.
(d) Baumol's Model of Cash Management: This model explains how a firm can determine the optimum cash balance it should maintain in order to minimise the total cost of holding and converting cash. It is directly analogous to the EOQ (Economic Order Quantity) model used in inventory management. Its objective is to minimise total cost, which consists of the Transaction Cost (the cost of converting securities into cash) and the Opportunity Cost (interest lost by holding idle cash). Its assumptions are: cash payments are certain and uniform over time; cash is spent at a constant rate; the firm can convert marketable securities into cash instantly; the transaction cost per conversion is fixed; the opportunity cost (interest rate) is constant; and there is no uncertainty in cash flows.
(e) Stock-Out: A stock-out refers to a situation where a firm runs out of inventory and is unable to meet customer demand at the required time โ in simple words, when required stock is not available, a stock-out occurs. Causes include poor demand forecasting, delay in supply or transportation, inadequate inventory planning, a sudden increase in demand, and an inefficient inventory control system. It can be prevented by maintaining safety stock, using accurate demand forecasting, adopting efficient inventory management techniques (like EOQ and reorder level), and relying on reliable suppliers with timely procurement.
(f) EOQ Model (Economic Order Quantity): EOQ is the optimal quantity of inventory that should be ordered each time so that the total inventory cost is minimised. Its objective is to balance ordering cost against carrying cost.
Here, A is annual consumption, B is buying cost per order, C is cost per unit, and S is storage cost.
Its assumptions are: demand is known and constant; lead time is zero or constant; ordering cost is fixed; carrying cost is constant; no stock-outs are allowed; and the purchase price per unit remains unchanged.
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| Concept | Key Point |
|---|---|
| Concentration Banking | Regional collection centres deposit locally, transfer surplus to HQ |
| Lock-Box System | Bank collects cheques directly from a post-box, deposits instantly |
| Cash Budget | Estimate of future cash receipts & payments; usually monthly |
| Baumol's Model | EOQ-style model minimizing Transaction Cost + Opportunity Cost of cash |
| Stock-Out | Inventory shortage โ prevented via safety stock, EOQ, forecasting |
The Operating Cycle refers to the total time period taken by a firm to convert its investment in raw materials into cash receipts from sales. It starts with the procurement of raw materials/goods and ends with the realisation of cash from customers โ in simple terms, it is the time gap between purchase and collection of cash.
The length of the operating cycle differs from firm to firm, depending on the nature of the business, the size of the firm, its credit policy, and its production process.
Stages of the Operating Cycle: (a) Procurement of raw materials and services, (b) Conversion of raw materials into Work-in-Progress (WIP), (c) Conversion of WIP into finished goods, (d) Sale of finished goods (cash or credit), (e) Conversion of receivables (debtors) into cash.
Significance: A longer operating cycle means more funds are blocked at any given time, resulting in a higher working capital requirement. A shorter operating cycle means faster cash recovery and therefore a lower working capital requirement.
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Credit policy refers to the guidelines a firm frames to decide whether credit should be granted to a customer, and how much credit should be extended. It has a direct impact on sales, debtors, risk, and profitability.
Dimensions of Credit Policy:
(i) Credit Standards โ the criteria used to decide the eligibility of customers for credit. Strict standards lead to low sales but also low risk; liberal standards lead to high sales but also high risk.
(ii) Credit Analysis โ the process of evaluating the creditworthiness of customers, based on their past payment record, financial position, and reputation.
Role of Credit Terms: After fixing credit standards, the firm decides the credit terms, which consist of three components:
3/10, Net 40 means a 3% discount is given if payment is made within 10 days, and full payment must be made within 40 days regardless.
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Lengthening of the Credit Period brings certain benefits: an increase in sales volume, higher contribution and profit, and the attraction of more customers. But it also brings costs: an increase in the investment tied up in debtors, higher funds blocked (which raises financing cost), an increase in bad debts, and an increase in collection and administrative expenses.
Shortening of the Credit Period brings its own benefits: faster cash inflow, a reduction in debtors, lower bad-debt risk, and a lower working capital requirement. But it also brings costs: a reduction in sales, the loss of some customers, and lower profits overall.
Decision Criterion: The firm should compare the incremental costs against the incremental benefits of any change in credit period, and select whichever credit policy yields the maximum net profit.
| Lengthening Credit Period | Shortening Credit Period | |
|---|---|---|
| Benefits | โ Sales, โ Profit, more customers | Faster cash inflow, lower bad debts, lower WC need |
| Costs | โ Investment in debtors, โ bad debts, โ admin cost | โ Sales, loss of customers, lower profit |
| Decision Rule | Choose the policy with maximum net profit (compare incremental cost vs benefit) | Same |
Receivables management is concerned with deciding the amount of credit to be extended, the terms of credit, and the collection policy, all with the goal of maximising profitability while maintaining liquidity. Its objectives are:
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| Q | A |
|---|---|
| Formula for EOQ? | โ(2AB/CS) |
| Which approach uses short-term funds even for permanent WC? | Aggressive Approach |
| Term for cheques issued but not yet cleared? | Payment Float |
| 3/10, Net 40 means? | 3% discount if paid in 10 days; full payment in 40 days |
| Which cash motive covers "taking advantage of a bargain"? | Speculative Motive |
Stability of dividends means consistency or regularity in dividend payments over time โ it implies the absence of wide fluctuations in dividends from year to year. Sometimes "stability" refers only to the regularity of payment even if the amount itself varies year to year.
Forms of Stable Dividend Policy:
Significance of Stable Dividends: Stability is preferred by investors who need regular income (such as retired persons or widows); it signals financial strength and good future prospects; it helps maintain or increase the market price of shares; it improves the goodwill and reputation of the company; it facilitates raising funds from the capital market; and it is generally preferred by institutional investors.
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A Scrip Dividend (or Stock Dividend) is a form of dividend in which a company distributes additional shares to its existing shareholders instead of paying cash. It represents a capitalisation of reserves and surplus, and involves no cash outflow at all. Its key features are: the dividend is paid in the form of shares, issued proportionately to existing shareholders, so there is no dilution of ownership; it increases share capital but doesn't immediately increase shareholders' wealth; and it has no effect on the company's liquidity.
Its advantages are that it helps the company preserve liquidity, creates no immediate tax burden on shareholders, and increases the number of shares held by shareholders. Its disadvantages are that shareholders receive no immediate cash income, the market price per share may decline (since more shares represent the same underlying value), and it isn't suitable for investors who need regular cash income. A scrip dividend is best suited to companies with strong reserves but limited cash, since it balances shareholders' expectations with the firm's long-term financial stability.
| Feature | Detail |
|---|---|
| Form | Paid in shares, not cash |
| Cash outflow | None |
| Effect on ownership | No dilution (proportionate) |
| Advantage | Preserves liquidity; no immediate shareholder tax |
| Disadvantage | No cash income; share price may dip |
Dividend policy determines how a firm's profits are divided between dividends paid out and earnings retained. This directly affects shareholders' wealth and the firm's growth potential.
External Factors:
Internal Factors:
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A Stock Dividend is a dividend paid in the form of shares instead of cash โ also called bonus shares or scrip dividend โ issued to existing shareholders in proportion to their holdings, and representing a capitalisation of reserves.
Rationale: It offers a tax advantage over cash dividends (since no cash income is received, there's no immediate tax event for shareholders in many cases); it conserves the company's cash; it provides psychological satisfaction to shareholders (they now hold more shares); and it projects an image of a strong financial position for the company.
Bonus shares are additional shares issued free of cost to existing shareholders by capitalising the reserves and surplus of the company โ no cash is involved in the issue. For example, if a shareholder holds 100 shares of โน10 each and the company declares a 1:1 bonus issue, the shareholder receives 100 additional shares free โ total shares become 200, and the face value per share remains โน10.
Stock split refers to the sub-division of existing shares into shares of a smaller face value. It does not involve any capitalisation of reserves. For example, before a split, a shareholder may hold 100 shares of โน10 each; after a split from โน10 to โน2, this becomes 500 shares of โน2 each โ the total investment value remains the same, just spread across more shares of lower individual value.
| Basis | Bonus Shares | Stock Split |
|---|---|---|
| Meaning | Issue of additional shares by capitalising reserves | Sub-division of shares into smaller denominations |
| Consideration | Issued free of cost | No consideration involved |
| Face Value | Remains unchanged | Reduced |
| Number of Shares | Increases | Increases |
| Share Capital | Increases | Remains same |
| Purpose | Align capital with reserves | Improve liquidity and affordability |
Example โ Bonus (1:1): 100 shares @ โน10 โ 200 shares @ โน10 (face value unchanged) Example โ Split (โน10โโน2): 100 shares @ โน10 โ 500 shares @ โน2 (same total value)
Gordon's Model was proposed by Myron Gordon, and it states that dividend policy is relevant โ that it affects the value of the firm and the market price of its shares.
The firm has a constant rate of return and cost of capital; the growth rate g = b ร r (where b is the retention ratio and r is the rate of return); the cost of capital is greater than the growth rate (k > g); and investors prefer current dividends over uncertain future capital gains.
Implication: Higher dividends increase share value, because investors are risk-averse and place a higher value on certain, current income (a "bird in hand") than on uncertain future capital gains. Dividend policy, under this model, genuinely affects firm value.
Gordon's Model and Walter's Model share several similarities: both consider dividend policy to be relevant to firm value, both relate the dividend decision to the value of the firm, and both assume a constant rate of return and cost of capital.
Where they differ: Gordon's Model focuses on dividend growth and investor preference for current income, uses the explicit growth formula g = b ร r, and emphasises that investors are risk-averse. Walter's Model instead focuses on the relationship between the firm's internal rate of return (r) and its cost of capital (k), has no explicit growth formula, and places more emphasis on the firm's profitability relative to its cost of capital.
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| Basis | Gordon's Model | Walter's Model |
|---|---|---|
| Focus | Dividend growth and investor preference | Relationship between r and k |
| Growth Assumption | g = b ร r | No explicit growth formula |
| Investor Behaviour | Risk-averse | Emphasises profitability |
The M&M (Modigliani and Miller) Approach states that dividend policy does not affect the value of the firm โ a directly opposing view to Gordon's and Walter's models.
A perfect capital market; no taxes; no transaction or flotation costs; a fixed investment policy; and no uncertainty about future cash flows.
Explanation: Under these assumptions, the value of a firm depends only on its earnings and risk โ not on how those earnings are split between dividends and retained profit. Investors, in this idealised world, are indifferent between receiving dividends now or capital gains later, since they can create their own "homemade dividends" by selling shares if they need cash.
Limitations: The assumptions are unrealistic โ in the real world, taxes and transaction costs do exist, investors often genuinely prefer dividends over uncertain capital gains, and dividends act as signals of a firm's financial health, which can influence share price even if "fundamentally" it shouldn't.
โ ๏ธ Common Confusion: Don't mix up "Stock Dividend/Scrip Dividend" (paid in shares, discussed in Q1/Q3) with "Bonus Shares" โ they are the same thing described in two contexts; the table in Q4 compares Bonus Shares against Stock Split, which is a different concept entirely (no capitalisation of reserves).
๐ก Exam Tip: If asked "which theory says dividend policy is irrelevant" โ answer is M&M Approach only. Gordon and Walter both treat dividends as relevant.
| Basis | Gordon's Model | Walter's Model | M&M Approach |
|---|---|---|---|
| View | Dividend relevant | Dividend relevant | Dividend irrelevant |
| Key assumption | k > g, risk-averse investors | Constant r & k | Perfect capital market, no tax |
| Q | A |
|---|---|
| Who proposed the dividend irrelevance theory? | Modigliani & Miller (M&M) |
| Gordon's growth formula? | g = b ร r |
| Bonus shares โ does share capital increase? | Yes |
| Stock split โ does share capital increase? | No, remains the same |
| Which policy needs a Dividend Equalisation Reserve? | Constant DPS policy |
Explicit cost of capital refers to the direct and clearly identifiable cost paid by a firm to the suppliers of funds โ it involves an actual cash outflow. It is easily measurable and shown in the company's accounts. Examples include interest paid on debentures and loans, fixed dividend on preference shares, and the expected dividend on equity shares.
Implicit cost of capital refers to the opportunity cost of using internally generated funds, especially retained earnings. There is no actual cash payment involved, but shareholders forego the income they could otherwise have earned. When profits are retained in the business instead of being distributed as dividends, shareholders lose the opportunity to invest that money elsewhere and earn a return โ this foregone return is the implicit cost. For example, if retained earnings could have earned 12% if invested elsewhere, then 12% is the implicit cost to the firm of retaining those earnings.
| Basis | Explicit Cost | Implicit Cost |
|---|---|---|
| Nature | Direct cost | Opportunity cost |
| Cash Outflow | Yes | No |
| Accounting Record | Recorded | Not recorded |
| Example | Interest, dividends | Retained earnings |
The cost of preference share capital is generally lower than the cost of equity for four reasons: (1) Fixed Rate of Dividend โ preference shareholders receive dividend at a fixed rate, whereas equity shareholders receive a variable dividend that depends on company performance. (2) Priority in Dividend Payment โ preference dividend is paid before equity dividend. (3) Priority in Repayment of Capital โ in case of liquidation, preference shareholders are paid before equity shareholders. (4) Lower Risk โ equity shareholders bear the maximum business risk, and therefore expect a higher return to compensate. Because of this lower risk and fixed return, the cost of preference capital ends up being lower than the cost of equity capital.
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Trading on Equity refers to the use of fixed-cost debt capital in the capital structure with the objective of increasing the earnings per share (EPS) available to equity shareholders. It exists โ and works in the firm's favour โ when the Return on Investment (ROI) is higher than the cost of debt, because the "spread" between the two accrues to equity holders.
Limitations of Trading on Equity: (1) Double-Edged Sword โ if ROI exceeds the cost of debt, EPS increases, but if ROI falls below the cost of debt, EPS decreases; the strategy can hurt as much as it helps. (2) Increase in Financial Risk โ higher debt raises financial risk and the fixed interest burden the firm must service. (3) Harmful During Fluctuating Earnings โ fixed interest must still be paid even when earnings are low, which can strain the firm. (4) Restrictions by Financial Institutions โ excessive debt tends to invite restrictions and closer monitoring from lenders.
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Leverage refers to the use of fixed-cost sources of funds or assets to magnify the returns available to shareholders โ it helps a firm earn higher profits relative to a smaller investment of its own funds.
(A) Operating Leverage arises due to the presence of fixed operating costs. It measures the effect of a change in sales on EBIT (Earnings Before Interest and Tax): Operating Leverage (OL) = % Change in EBIT / % Change in Sales. A firm with high fixed costs will experience larger swings in EBIT for even small changes in sales.
(B) Financial Leverage arises due to fixed financial charges, like interest on debt. It measures the effect of a change in EBIT on EPS: Financial Leverage (FL) = % Change in EPS / % Change in EBIT.
(C) Combined Leverage reflects the total risk of the firm โ the combination of business risk and financial risk: Combined Leverage (CL) = Operating Leverage ร Financial Leverage, which can also be expressed as CL = % Change in EPS / % Change in Sales.
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High fixed costs mean a steeper operating leverage effect โ a small change in sales causes a disproportionately larger swing in EBIT, because those fixed costs don't move with sales. This is precisely why Operating Leverage exists as a concept.
โ ๏ธ Common Confusion: Operating Leverage relates Sales โ EBIT (business risk from fixed operating costs). Financial Leverage relates EBIT โ EPS (financial risk from fixed interest costs). Students often mix which one uses "interest" vs "fixed operating costs."
Net Income (NI) Approach: According to this approach, capital structure does affect firm value. Using more debt lowers the overall cost of capital (since debt is cheaper than equity) and thereby increases firm value. Its assumptions: no corporate tax; cost of debt is less than cost of equity; and risk perception remains unchanged regardless of leverage. Conclusion: capital structure is relevant, more debt leads to a lower WACC, and a lower WACC leads to a higher firm value.
Net Operating Income (NOI) Approach: According to this approach, capital structure is irrelevant โ firm value depends only on EBIT and the overall cost of capital, not on the debt-equity mix. Its assumptions: investors capitalise total earnings; the overall cost of capital is constant; the cost of debt is constant; and there is no tax. Conclusion: capital structure does not affect firm value, and WACC remains constant regardless of the debt-equity ratio.
| Basis | NI Approach | NOI Approach |
|---|---|---|
| Capital Structure | Relevant | Irrelevant |
| WACC | Changes | Constant |
| Firm Value | Affected | Not affected |
| View | Traditional | Modern |
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| Q | A |
|---|---|
| Formula for Combined Leverage? | OL ร FL |
| Which cost has NO cash outflow? | Implicit Cost |
| Why is preference capital cheaper than equity? | Fixed dividend + priority + lower risk |
| Which approach says capital structure is irrelevant? | NOI Approach |
| Trading on Equity works when? | ROI > Cost of Debt |
Net Present Value is the difference between the present value of a project's cash inflows and the present value of its cash outflows, both discounted at the firm's cost of capital. Decision Rule: accept the project if NPV > 0, reject if NPV < 0.
Advantages: it considers the time value of money; it uses all the cash flows generated by the project; it directly measures the increase in shareholders' wealth; and it is widely regarded as the best method for maximising firm value.
Disadvantages: it is somewhat difficult to calculate; it requires an accurate estimation of the discount rate to be reliable; and it is not always easily understood by people without a finance background.
IRR is the discount rate at which the NPV of a project becomes exactly zero โ it represents the project's own expected rate of return. Decision Rule: accept the project if IRR > Cost of Capital.
Advantages: it considers the time value of money; it is easy to understand since it's expressed as a simple percentage; and it takes into account the entire stream of cash flows.
Disadvantages: the computation can be difficult; a project can sometimes have multiple IRRs (if cash flows alternate sign); it assumes reinvestment of interim cash flows at the IRR itself, which is often unrealistic; and it may give the wrong ranking when comparing mutually exclusive projects.
Profitability Index is the ratio of the present value of cash inflows to the present value of cash outflows: PI = PV of Cash Inflows / PV of Cash Outflows. Decision Rule: accept if PI > 1.
Advantages: considers the time value of money; is particularly useful in situations of capital rationing; and gives a relative (rather than absolute) measure of profitability.
Disadvantages: may give an incorrect ranking for mutually exclusive projects, and does not show the absolute value created by a project (only a ratio).
ARR is the ratio of average accounting profit to average investment. Decision Rule: accept if ARR is higher than the required rate.
Advantages: simple to calculate, uses readily available accounting data, and is easy to understand.
Disadvantages: ignores the time value of money entirely; uses accounting profits rather than actual cash flows; and doesn't have a universally agreed decision benchmark.
Payback Period is the time required to recover the initial investment from the project's cash inflows. Decision Rule: a shorter payback period is preferred.
Advantages: simple and quick to calculate; it emphasises liquidity; and it's particularly useful for evaluating risk-prone projects (faster recovery = less exposure).
Disadvantages: it ignores the time value of money; it ignores all cash flows occurring after the payback period; and it is not a true measure of overall profitability.
| Method | Formula/Rule | Time Value? | Accept If | Key Limitation |
|---|---|---|---|---|
| NPV | PV(inflows) โ PV(outflows) | โ | NPV > 0 | Hard to estimate discount rate |
| IRR | Rate where NPV = 0 | โ | IRR > Cost of Capital | Multiple IRRs possible |
| PI | PV(inflows) / PV(outflows) | โ | PI > 1 | Wrong ranking in exclusive projects |
| ARR | Avg. Profit / Avg. Investment | โ | ARR > required rate | Ignores time value & cash flows |
| PBP | Time to recover investment | โ | Shorter preferred | Ignores flows after payback |
An NPV vs IRR conflict occurs in mutually exclusive projects, typically caused by differences in project size or the timing of cash flows. In such cases, NPV should be preferred because it maximises shareholders' wealth in absolute terms.
An NPV vs PI conflict arises because PI is a relative measure while NPV is an absolute measure; here again, NPV is preferred in case of conflict, since it shows the actual rupee value added to the firm.
ARR and PBP versus discounted methods: ARR and Payback Period are considered secondary/screening methods and should not be relied on for the final investment decision.
Overall, NPV is considered the best capital budgeting technique because it accounts for the time value of money and risk, and directly maximises the value of the firm. IRR and PI serve as supportive techniques, while ARR and PBP are best used only as preliminary screening tools.
NPV is the present value of cash inflows minus the present value of cash outflows, discounted at the cost of capital. IRR is the discount rate at which a project's NPV becomes zero, representing its own earning rate. Conceptually, NPV and IRR are closely related and normally lead to the same accept/reject decision for independent projects with conventional cash flows โ but conflicts can arise in specific situations:
Which method should be preferred, and why? In case of conflict, NPV should be preferred because: it is consistent with the objective of maximising shareholders' wealth; it measures the absolute value added to the firm; it uses the cost of capital as the discount rate, which is more realistic; and IRR's assumption of reinvestment at the IRR itself is often unrealistic.
Whenever NPV and IRR give conflicting rankings, the decision should be based on NPV, since it leads to value maximisation for the firm.
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Risk-Adjusted Discount Rate (RAD) Approach: This incorporates project risk by adjusting the discount rate used in present value calculations โ riskier projects get a higher discount rate, safer projects get a lower one. For example, a Treasury bill investment would use a very low RAD, whereas a new product launch in an untested market would use a high RAD. This approach is widely used because of its simplicity, but its limitation is that it may not precisely measure project-specific risk.
Certainty Equivalent Approach (CEA): This instead adjusts the project's expected cash flows for risk, rather than touching the discount rate. It converts risky expected cash flows into risk-free equivalents โ using smaller adjusted values for inflows and larger adjusted values for outflows to reflect risk โ and then discounts these adjusted flows at the risk-free rate. Its advantage is that it measures risk more accurately, gives a more conservative estimate of cash flows, and allows different projects to have different certainty-equivalent factors. It is considered theoretically superior because it directly adjusts the cash flows themselves rather than the discount rate.
Both approaches share some similarities: both are used to incorporate risk into capital budgeting decisions, both adjust the NPV of a project to account for uncertainty, and both require some estimation of the magnitude of risk (high-risk vs low-risk projects).
| Aspect | RAD Approach | Certainty Equivalent Approach |
|---|---|---|
| Method | Adjusts discount rate | Adjusts cash flows |
| Rate used | Risk-adjusted discount rate | Risk-free rate |
| Cash flow treatment | Cash flows remain unchanged | Cash flows converted to certainty equivalents |
| Accuracy | Less precise for project-specific risk | More precise, theoretically superior |
| Complexity | Simple to use | More complex to estimate certainty equivalents |
| Conservative? | Less conservative | More conservative |
๐ก Exam Tip: Whenever NPV and IRR give conflicting rankings for mutually exclusive projects, always conclude with: "NPV should be preferred as it maximises shareholders' wealth in absolute terms." This is the examiner's expected closing line.
โ ๏ธ Common Confusion: PI (relative measure) vs NPV (absolute measure) โ in capital rationing use PI, but in ranking conflicts always prefer NPV.
| Q | A |
|---|---|
| Decision rule for NPV? | Accept if NPV > 0 |
| Decision rule for IRR? | Accept if IRR > Cost of Capital |
| Which method ignores time value of money? | ARR and Payback Period |
| Which approach is theoretically superior for risk adjustment? | Certainty Equivalent Approach |
| What causes multiple IRRs? | Unconventional (alternating +/-) cash flows |
A financial manager is responsible for raising funds and allocating them efficiently across the enterprise โ the role is connected with every function of the business, including production and marketing. The two main functions are raising funds and properly allocating those funds. Beyond this core mandate, the finance manager is also responsible for evaluating financial performance (in terms of both profit and wealth maximisation), efficiently dealing with the providers of funds (banks, shareholders, financial institutions), and monitoring the stock market and the company's own share price behaviour.
A finance manager's role is generally split into three core decisions: Investment Decisions โ allocating funds between short-term and long-term assets; Financing Decisions โ choosing the appropriate mix of sources of funds (debt vs equity) while keeping risk in mind; and Dividend Decisions โ determining what proportion of profit to distribute versus retain, with the overarching focus on shareholder wealth maximisation.
Risk, in general, refers to the variation between actual and expected return.
Systematic Risk (Market/Non-diversifiable Risk) arises from economy-wide factors โ political, economic, and social โ that affect all firms to some degree, and therefore cannot be diversified away. It has three types: Market Risk (variability in stock prices due to overall market expectations), Interest Rate Risk (price changes due to shifts in market interest rates), and Purchasing Power/Inflation Risk (the erosion of real returns due to inflation).
Unsystematic Risk (Diversifiable Risk) arises from firm-specific factors โ labour strikes, management changes, changes in product demand โ and can be reduced through diversification. It has two categories: Business Risk (variability in a firm's actual earnings versus expected earnings, arising from internal factors like production disruption or labour strikes, and external factors like changes in market demand or raw material prices), and Financial Risk (arising from the debt in a firm's capital structure โ the fixed interest obligation creates a risk of insolvency if earnings fall).
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Profit Maximisation treats the total profit earned by the firm as the ultimate goal. However, this goal has serious shortcomings as a guide for financial decision-making: it does not consider risk at all, it ignores the time value of money (a rupee today is treated the same as a rupee ten years from now), and it doesn't factor in EPS or DPS considerations.
Wealth Maximisation instead focuses on maximising the market value of the firm's shares โ which is a more complete goal, because it does account for risk, does account for the time value of money, and does consider EPS/DPS. For these reasons, wealth maximisation is considered the superior operational guide for a finance manager, since it aligns decision-making with the genuine long-term interests of shareholders.
| Aspect | Profit Maximisation | Wealth Maximisation |
|---|---|---|
| Focus | Total profit | Market value of shares (shareholder wealth) |
| Considers risk? | No | Yes |
| Considers time value of money? | No | Yes |
| EPS/DPS considered? | No | Yes |
| Better for finance manager? | No | Yes, because it aligns with shareholder interest |
| โ Do | โ Don't |
|---|---|
| Mention time value of money explicitly | Say "profit max is simply outdated" without reasoning |
| Bring in risk consideration | Forget to link wealth max to market price of shares |
| Use the comparison table format | Write only one-line answers for a 5-mark question |
The Agency Problem occurs due to the separation of ownership and management in a company โ shareholders (the "principals") own the firm, but professional managers (the "agents") run it day-to-day. The core conflict is that managers may pursue their own personal goals (job security, perks, empire-building) rather than acting purely in shareholders' interests. This problem can be mitigated through: shareholders actively monitoring managers' activities, Employee Stock Option Plans (ESOPs) that align managers' incentives with shareholder value, and performance-based compensation structures.
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A finance manager is generally concerned with four core financial decisions: Funds Requirement Decision โ assessing both long-term and short-term capital needs; Financing Decision โ choosing between debt and equity, which involves a direct trade-off between risk and return; Investment Decision โ covering both capital budgeting (long-term asset investment) and working capital allocation, each requiring a risk-return evaluation; and Dividend Decision โ the distribution policy that impacts retained earnings and future growth, again requiring risk-return consideration.
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| Q | A |
|---|---|
| Two main functions of a finance manager? | Raising funds + Allocating funds |
| Systematic risk is also called? | Market / Non-diversifiable risk |
| Agency problem arises due to? | Separation of ownership and management |
| Better goal: profit max or wealth max? | Wealth Maximisation |
| Name the 3 core financial decisions (besides funds requirement)? | Financing, Investment, Dividend |
| Unit | Core Theme | Formula to Remember |
|---|---|---|
| 1 | FM Roles, Risk, Wealth Max | โ |
| 2 | Capital Budgeting | NPV, IRR, PI, ARR, PBP |
| 3 | Cost of Capital & Leverage | OL, FL, CL = OLรFL |
| 4 | Dividend Decision | g = b ร r (Gordon) |
| 5 | Working Capital | EOQ = โ(2AB/CS) |
| Term | One-Line Meaning |
|---|---|
| WACC | Weighted Average Cost of Capital |
| EPS | Earnings Per Share |
| DPS | Dividend Per Share |
| EBIT | Earnings Before Interest & Tax |
| ROI | Return on Investment |
| NPV | Net Present Value |
| IRR | Internal Rate of Return |
| EOQ | Economic Order Quantity |
| WC | Working Capital |
| CVP | Cost-Volume-Profit |
| Formula | Where Used |
|---|---|
| Net WC = Current Assets โ Current Liabilities | Unit 5 |
| EOQ = โ(2AB / CS) | Unit 5 |
| Operating Leverage = %ฮEBIT / %ฮSales | Unit 3 |
| Financial Leverage = %ฮEPS / %ฮEBIT | Unit 3 |
| Combined Leverage = OL ร FL | Unit 3 |
| Growth rate (Gordon) g = b ร r | Unit 4 |
| NPV = PV(Inflows) โ PV(Outflows) | Unit 2 |
| PI = PV(Inflows) / PV(Outflows) | Unit 2 |
| ARR = Avg. Profit / Avg. Investment | Unit 2 |
Q: Why is NPV considered the best capital budgeting technique? A: It considers time value of money, uses all cash flows, and directly measures wealth added โ unlike ARR/PBP which ignore time value, or IRR which can give multiple/misleading results.
Q: Why does an aggressive working capital policy increase risk? A: Because it finances even part of permanent working capital with short-term funds, which must be renewed frequently and can fail during a credit crunch, threatening liquidity.
Q: Is dividend policy relevant or irrelevant to firm value? A: Depends on the theory โ Gordon and Walter say relevant (investors prefer certain current income); M&M say irrelevant (under perfect market assumptions, only earnings and risk matter).
| Confusing Pair | Key Differentiator |
|---|---|
| Permanent WC vs Fixed Assets | PWC is still a current asset, just non-fluctuating |
| Operating Leverage vs Financial Leverage | OL = SalesโEBIT (fixed operating cost); FL = EBITโEPS (fixed interest cost) |
| Bonus Shares vs Stock Split | Bonus increases share capital (capitalises reserves); Split doesn't |
| NI Approach vs NOI Approach | NI: capital structure relevant; NOI: irrelevant |
| NPV vs PI | NPV = absolute; PI = relative (ratio) |
| RAD vs Certainty Equivalent | RAD adjusts the discount rate; CEA adjusts the cash flows |
| Explicit vs Implicit Cost | Explicit = actual cash outflow; Implicit = opportunity cost, no outflow |
Compiled from "Commerce Makeover โ Financial Management Theory Notes" | Formatted with full explanations, Mermaid diagrams, mind maps, flowcharts, comparison tables, flashcards, glossary, formula sheet & FAQs for complete exam revision.
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