Financial Management

Value and returns

The time value of money states that a rupee received today is worth more than a rupee received in the future, because today's rupee can be invested to earn a return, because inflation erodes purchasing power, and because future receipt is uncertain. Future value compounds a present amount at a given rate over time, while present value discounts a future amount back at a required rate. An annuity is a series of equal payments at regular intervals; an ordinary annuity pays at the end of each period, while an annuity due pays at the beginning. A perpetuity pays forever, and its present value is simply the annual payment divided by the discount rate. These tools are the grammar of financial management: every investment appraisal, bond valuation and loan amortisation is an application of compounding and discounting, and errors usually come from mixing nominal and real rates, using the wrong timing of payments, or discounting at a rate that does not reflect risk.

Return is the reward for bearing risk, measured as income plus capital gain relative to investment. Risk is the variability of that return, measured by variance and standard deviation, and by beta, which measures systematic risk, the sensitivity of an asset's return to market movements. Unsystematic risk is specific to a firm or industry and can be diversified away by holding many assets; systematic risk affects the whole market and cannot be diversified away, so the market rewards only systematic risk. The capital asset pricing model formalises this: required return equals the risk-free rate plus beta multiplied by the market risk premium, the excess of expected market return over the risk-free rate. A beta above one means the asset moves more than the market, a beta of one means it moves with the market, and a beta below one means it moves less. The security market line plots required return against beta, and assets priced above the line offer more return than their systematic risk justifies. Managers use this required return as the discount rate or hurdle rate for projects of similar risk, adjusting it upward for riskier projects and downward for safer ones, rather than applying one company rate to every project regardless of risk.

Capital budgeting and risk analysis

Capital budgeting is the process of evaluating long-term investment proposals and choosing those that increase firm value. Its first step is estimating incremental cash flows, not accounting profits: initial investment including working capital, operating cash flows over the project's life after tax, and terminal cash flow from salvage and working capital recovery. Sunk costs are ignored, opportunity costs are included, side effects on other products are counted, and financing costs are excluded from cash flows because they are captured in the discount rate; counting them in both places double-counts. Depreciation is not itself a cash flow, but it affects tax, so it enters through the tax shield. Once cash flows are estimated, appraisal methods are applied.

The payback period measures how quickly the initial investment is recovered from cash inflows. It is simple and favours liquidity, but it ignores cash flows after payback and the time value of money, so it can reject a highly profitable long project in favour of a mediocre short one. The discounted payback period corrects the time-value flaw but still ignores post-payback flows. The accounting rate of return divides average accounting profit by average investment; it uses profit rather than cash flow and ignores timing, so it is the weakest method. Net present value discounts all cash flows at the required rate and subtracts initial investment: a positive net present value means the project earns more than its required return and should be accepted, and among mutually exclusive projects the highest net present value creates most value. The internal rate of return is the discount rate at which net present value is zero; a project is accepted when its internal rate exceeds the required rate. The profitability index divides present value of inflows by initial investment and is useful for ranking under capital rationing. Net present value is preferred when methods conflict, because it measures absolute value added, while internal rate of return can give multiple rates for non-conventional cash flows and can misrank mutually exclusive projects of different scale.

Risk analysis recognises that cash flow estimates are uncertain. Sensitivity analysis changes one variable at a time, such as sales volume, price or cost, and observes the effect on net present value, revealing which assumptions matter most. Scenario analysis changes several variables together into pessimistic, most likely and optimistic cases, giving a range of outcomes. Break-even analysis in capital budgeting finds the sales level at which net present value is zero. Risk-adjusted discount rates raise the discount rate for riskier projects, while certainty equivalents adjust the cash flows themselves downward for risk and discount at the risk-free rate; the two approaches must not be combined, or risk is double-counted. Simulation, running many random combinations of variables, gives a distribution of net present values rather than a single point estimate. Capital rationing, when funds are limited, forces ranking by profitability index or by choosing the combination of projects that maximises total net present value within the budget, rather than accepting every positive project. The discipline throughout is to separate estimation, appraisal and risk handling, so that optimism in one stage does not silently compensate for pessimism in another.

Dividend, mergers and acquisitions

Dividend policy asks how much of profit to distribute to shareholders and how much to retain for investment. The irrelevance view, associated with Modigliani and Miller under perfect-market assumptions, holds that dividend policy does not affect firm value, because investors can create their own dividends by selling shares, and value depends on investment policy and earning power, not on the split between dividends and retention. The relevance views challenge those assumptions. Walter's model argues that when a firm's return on investment exceeds its cost of capital, it should retain earnings to earn the higher return, and when return is below cost of capital, it should distribute; Gordon's model similarly argues that investors prefer certain current dividends to uncertain future capital gains, the bird-in-hand argument, so higher dividends raise value. In practice, taxes, transaction costs, signalling and agency considerations matter: a dividend increase signals management confidence, a cut signals trouble, so firms smooth dividends and change them reluctantly; retained earnings avoid flotation costs of new equity; and dividends can discipline managers by reducing free cash flow available for wasteful projects.

Mergers and acquisitions combine firms for reasons grouped as synergy, growth, diversification, tax benefits, market power, or acquisition of resources and capabilities. Synergy is the claim that the combined firm is worth more than the sum of its parts, through operating synergy such as cost savings, economies of scale and complementary resources, or financial synergy such as lower cost of capital, tax shields and better use of surplus cash. Types include horizontal mergers between competitors, vertical mergers along a supply chain, conglomerate mergers between unrelated businesses, and concentric mergers between related but distinct businesses. Valuation determines what the acquirer should pay: methods include discounted cash flow of the target's future cash flows, comparable company multiples such as price-earnings ratios, and asset-based values, each with assumptions that must be tested. Takeovers can be friendly, agreed by target management, or hostile, pursued despite opposition through direct offers to shareholders. The record warns humility: many acquisitions fail to deliver promised synergy because of overpayment, cultural clash, integration failure and overestimated savings, so due diligence, realistic valuation, integration planning and post-merger performance tracking matter as much as deal announcement.

Portfolio management and derivatives

Portfolio management starts from a simple insight: the risk of a portfolio is not the average risk of its assets, because returns do not move perfectly together. Diversification across assets whose returns are less than perfectly correlated reduces portfolio risk without necessarily reducing expected return, and the benefit grows as correlation falls. The efficient frontier is the set of portfolios offering the highest expected return for each level of risk, or the lowest risk for each level of return; rational investors choose portfolios on this frontier, and the optimal portfolio depends on risk tolerance. The capital market line extends this when a risk-free asset exists: the best portfolios combine the risk-free asset with the market portfolio of all risky assets, and the trade-off between risk and return becomes linear. Portfolio evaluation then asks whether returns compensate for risk taken, using measures such as the Sharpe ratio, excess return per unit of total risk, the Treynor ratio, excess return per unit of systematic risk, and Jensen's alpha, the excess return over what the capital asset pricing model predicts for the portfolio's beta.

Derivatives are contracts whose value derives from an underlying asset, index or rate, and they are used for hedging, speculation and arbitrage. A forward contract is a private agreement to buy or sell at a future date at a price agreed today, carrying counterparty risk because it is not exchange-traded. A futures contract is a standardised, exchange-traded forward, with daily marking to market, margin requirements and a clearing house that reduces counterparty risk. Hedging with futures locks in a price and reduces exposure: a farmer fearing a price fall sells futures, a manufacturer fearing a price rise buys them, and the hedge is effective when futures and spot prices move together, though basis risk remains when they do not move perfectly. An option gives the right, but not the obligation, to buy or sell: a call option gives the right to buy at the exercise price, a put option gives the right to sell, and the buyer pays a premium for that right while the seller, or writer, receives it and bears the obligation. Options are valued by factors including underlying price, exercise price, time to expiry, volatility and interest rates; higher volatility raises option value because the buyer's downside is limited to the premium while upside is open. Swaps exchange cash flows, most commonly fixed for floating interest payments, to manage interest rate or currency exposure. Derivatives transfer risk; they do not eliminate it from the system, and misuse for speculation with leverage can create losses far larger than the initial investment, which is why governance, position limits and understanding of the underlying exposure are essential.

Working capital and international financial management

Working capital is the difference between current assets and current liabilities, and its management is the daily work of financial management. Gross working capital is total current assets; net working capital is current assets minus current liabilities. A firm needs working capital because of the operating cycle: cash buys raw material, material becomes work in progress and finished goods, goods are sold on credit, receivables are collected, and cash returns. The longer the cycle, the more working capital is needed, and the cycle length depends on inventory holding period, receivables collection period and payables deferral period. The cash conversion cycle combines these: inventory days plus receivables days minus payables days. Shortening the cycle by holding less inventory, collecting faster or paying later releases cash, but each lever has a limit: too little inventory causes stockouts, aggressive collection loses customers, and excessive delay in paying suppliers damages relationships and credit.

International financial management extends these decisions across currencies and countries. Exchange rates can be quoted directly or indirectly, and they move with interest rate differentials, inflation differentials, trade flows, speculation and intervention. Firms face transaction exposure, from receivables and payables in foreign currency; translation exposure, from converting foreign subsidiary statements; and economic exposure, from exchange effects on future competitiveness. Hedging tools include forward contracts, futures, options, money market hedges and leading or lagging payments, each with costs and basis risk. International investment appraisal must forecast cash flows in foreign currency, convert at expected rates, and discount at a rate reflecting country risk, political risk and exchange risk. Sources of international finance include Eurocurrency markets, foreign bonds, Eurobonds, American and global depository receipts, and foreign direct investment, each with different regulation, cost and disclosure. Country risk — political instability, expropriation, exchange controls and legal uncertainty — must be assessed before committing capital abroad, because a project with attractive economics can be destroyed by a single political event. The unifying lesson is that international finance does not change the value principle, but it changes every input: cash flows, discount rates and risks all become currency- and country-specific.

Capital budgeting methods compared

Hedging instruments compared