Free finance lessons
Finance, explained from first principles, with real accounts
Plainledger teaches accounting and finance from the ground up. Every lesson explains an idea in plain words, lets you change the numbers yourself in a live ledger, and then checks the idea against the published accounts of a real company.
Start with the first lessonSee all 81 lessons
Assets=Liabilities+Equity
How a lesson works
- Theory in plain wordsEach idea is explained from scratch, with the terms defined in the margin where you meet them. No finance background is assumed.
- A ledger you can changeA small shop's books respond as you move the sliders, so you see why a number changes and not only that it does.
- A real company's accountsThe same idea is then read in published figures from Titan, Info Edge and others, with the sources linked at the foot of the page.
1. Finance foundations
6 lessonsThe vocabulary every other topic uses. These lessons explain what finance is for, how profit is measured, what a business owns and owes, why the two sides of a balance sheet always match, and why a profitable business can still run short of cash.
- What Is FinanceFinance explained from scratch: personal, business and public finance, money over time, and Titan's three big cash movements in a real year.
- Revenue, Expenses and ProfitBuild a profit and loss account for a small shop with live sliders, then read the same statement in Titan's FY2023-24 accounts.
- Assets, Liabilities and EquitySort fifteen everyday items into assets, liabilities and equity, then read the balance sheet of a real listed company, Titan, line by line.
- The Accounting EquationWhy assets always equal liabilities plus equity: eight events in a new shop recorded live, then checked against Titan's real balance sheet.
- Cash vs ProfitWhy profit and cash differ, with an adjustable shop ledger and a worked bridge from profit to cash using Titan's real FY2023-24 accounts.
- Accrual vs Cash AccountingHow accrual and cash accounting record the same contract differently, with a live ledger and Info Edge's billings, revenue and deferred revenue.
2. Financial statements
5 lessonsThe three statements every company publishes, taken one at a time and then together. You learn the question each answers, how to read margins, classified balance sheets and cash flow sections, and how a single event travels through all three.
- Introduction to Financial StatementsThe three financial statements and the question each answers, shown through one shop's first eight events and Titan's real FY2023-24 accounts.
- The Income StatementMargins, EPS and what sits below the profit line, with a live calculator and two real income statements, Titan's and Info Edge's.
- The Balance SheetBuild a classified balance sheet block by block, then read the real balance sheets of Titan and Info Edge with four simple questions.
- The Cash Flow StatementSort fifteen events into operating, investing and financing cash flows, then read Titan's real FY2023-24 cash flow statement section by section.
- How the Three Statements ConnectSee profit, cash and the balance sheet move together in a live one-year model, then trace the joins in Titan's and Info Edge's real accounts.
3. Cash flow and fund flow
5 lessonsWhere a business's money actually goes. These lessons follow cash through the working capital cycle, show the two ways of building the operating figure, work out what is left after reinvesting, build a fund flow statement from two balance sheets, and give five questions for judging whether a profit is backed by cash.
- Working Capital and the Cash CycleReceivable, inventory and payable days, the cash cycle they add up to, and why growth uses cash, shown with a live calculator and Titan's real accounts.
- Direct and Indirect Cash FlowWork out cash from operations by counting cash and by correcting profit, then see what the adjustments do in Info Edge's and Titan's real statements.
- Free Cash FlowFree cash flow, the claims that follow it and why 'free' can mislead, with a live calculator and Titan's and Info Edge's real cash flow statements.
- The Fund Flow StatementBuild a fund flow statement from two balance sheets, with a live calculator and Titan's real FY2023-24 accounts, and see how it differs from cash flow.
- Reading Cash Flow QualityFive questions and ratios for judging whether profit is backed by cash, tried on a live example and on Titan's and Info Edge's real two-year cash flows.
4. Ratio analysis
5 lessonsHow to turn the three statements into comparisons. These lessons start with growth and share-of-revenue tables, then build the liquidity, profitability and debt ratios one at a time, and finish by splitting return on equity into margin, asset turnover and borrowing.
- Reading Statements with RatiosWhat ratio analysis is for, how growth and share-of-revenue comparisons work, and where ratios mislead, with a live example and real accounts.
- Liquidity RatiosThe current, quick and cash ratios, how each is built and what it misses, with a live calculator and the real balance sheets of Titan and Info Edge.
- Profitability RatiosGross, operating and net margin, and return on assets, equity and capital employed, built from real statements with a live calculator and Titan and Info Edge.
- Debt and Coverage RatiosDebt to equity, the debt ratio and interest cover, with a stress-test calculator and the real balance sheets of Titan and Info Edge.
- DuPont AnalysisSplit return on equity into net margin, asset turnover and the equity multiplier, with a live calculator and Titan's and Info Edge's real accounts.
5. Time value of money
5 lessonsWhy a dollar today is worth more than a dollar next year, and how finance puts a number on the difference. These lessons build compounding, discounting, level payments, bond prices and investment appraisal one at a time, each with a calculator you can change.
- Compound InterestHow compound interest works: the formula, effective rates, real returns and the rule of 72, with a live calculator and Apple's net sales growth as an example.
- Present ValueWhat a future payment is worth today: the discounting formula, the choice of rate, and a rebuild of Apple's lease liability, with a live calculator.
- Annuities and LoansHow to price level payments: annuity formulas, loan payments and amortization, perpetuities, with a live loan calculator and Apple's lease liability.
- Bond Pricing and YieldHow a bond is priced from its coupon and yield, why prices fall when rates rise, and what Apple's debt note shows, with a live bond calculator.
- NPV, IRR and PaybackHow to judge a project with net present value, internal rate of return and payback, when they disagree, and Apple's lease as a borrowing rate. Live calculator.
6. Funding and cost of capital
5 lessonsWhere a company's money comes from and what it costs. These lessons start with the choice between borrowing and owners' money, put a price on each, blend the two into a cost of capital, and end with how profit is returned to owners.
- Capital StructureHow the mix of debt and equity changes returns and risk, with a live leverage calculator and a look at Apple's balance sheet on book and market bases.
- Cost of DebtHow to find the cost of debt, why interest costs less after tax, and when the tax shield shrinks, with a live calculator and Apple's borrowing rates.
- Cost of Equity and CAPMHow to estimate the cost of equity with CAPM and the dividend growth formula, with a live calculator and what Apple's market value implies about growth.
- WACCHow to calculate WACC, why market weights matter, and why debt is not a free way to cut it, with a live calculator and Apple's cost of capital.
- Dividends and BuybacksHow dividends and buybacks return cash to owners, what a buyback does to earnings per share, and how Apple funded its fiscal 2025 payout. Live calculator.
7. Valuation
5 lessonsHow to put a value on a business. These lessons build the cash flow a valuation rests on, forecast it and value the years beyond the forecast, bridge from the value of the business to the value of a share, express the answer as a multiple, and finally run it backwards to read what a market price assumes.
- Free Cash Flow to the FirmHow to calculate free cash flow to the firm from operating profit, tax, capital spending and working capital, with a live calculator and Apple's accounts.
- Terminal ValueHow a DCF forecast and terminal value work, why the terminal value is most of the total, and how rate and growth move it. Live calculator.
- DCF ValuationHow a discounted cash flow valuation works from forecast to value per share, with a live calculator, sensitivity tables and Apple's accounts.
- Valuation MultiplesHow to calculate P/E, EV/EBITDA and other valuation multiples, what growth and risk justify, and when comparisons mislead. Live calculator, Apple's figures.
- Reverse DCFHow a reverse DCF turns a market price into the growth it assumes, with a live calculator and Apple's market value compared with its record.
8. Analysis in practice
5 lessonsThe earlier modules taught the tools one at a time. These lessons use them together on real questions. The first tests a valuation with scenarios, the second shows how growth can drain a profitable business of cash, and the last three set Apple beside Microsoft, two companies of similar size that report in dollars under the same accounting rules, so that the differences are real ones.
- Sensitivity and scenariosHow to test a valuation: move one input at a time, then build worst, base and best cases, with a live calculator using Apple's accounts.
- Why profit runs out of cashHow growth turns profit into a cash shortage through receivables, stock and payables, with a live calculator and Apple and Microsoft compared.
- Operating margin and cost structureTake an operating margin apart into cost of sales, R&D and administration, and compare Apple and Microsoft with a live calculator.
- Capital spending and payoutsHow Apple and Microsoft split cash from operations between capital spending and payouts, and how long each pattern could last, with a live calculator.
- What two prices implyRun a reverse DCF on Apple and Microsoft side by side to see the growth each market value needs, with a live calculator.
9. Cost and management accounting
6 lessonsHow managers use cost information to decide. These lessons sort costs by how they behave, find the sales a business needs to break even, measure how sensitive profit is to sales, work out what a product really costs, compare options by their relevant costs, and set budgets and explain the variances from them.
- Fixed, variable and mixed costsHow fixed, variable and mixed costs behave, how to classify costs and estimate their behaviour, with a live calculator and Apple and Microsoft's accounts.
- Contribution margin and break-evenContribution margin, break-even point, target profit and margin of safety, worked on a bicycle maker with a live calculator and Apple and Microsoft's accounts.
- Operating leverageWhat operating leverage is, how fixed costs magnify profit swings, and how to calculate it, with a live calculator and Apple and Microsoft's results.
- Product costing methodsHow overhead is assigned to products: absorption, variable and activity-based costing, with a live calculator and Apple and Microsoft's inventory.
- Relevant costs and decisionsHow to decide with relevant costs: special orders, make or buy and scarce resources, with a live calculator and Apple and Microsoft's capital spending.
- Budgets and variancesHow budgets, flexible budgets and standard costs work, and how to calculate price and usage variances, with a live calculator and Apple and Microsoft's costs.
10. Banking, credit and debt
6 lessonsHow banks make money and how borrowing works. These lessons start with the bank itself, its balance sheet, margin and capital, then move to the real cost of a loan, how lenders measure and price credit risk, credit cards and revolving debt, refinancing and restructuring, and finally the bank statement and the cash a business holds.
- How banks workHow a bank makes money from the gap between loan and deposit rates, why capital matters, and how JPMorgan and HSBC compare, with a live bank calculator.
- The true cost of borrowingWhy a loan's quoted rate understates its cost: APR, fees, flat rates and early repayment, with a live loan calculator and a comparison of two offers.
- Credit risk and expected lossHow lenders measure credit risk with default probability and loss given default, price it into loan rates, and how DBS and Citigroup compare, with a calculator.
- Credit cards and revolving debtHow credit card interest, grace periods and minimum payments work, how long a balance takes to clear, and how Capital One and Amex losses compare.
- Refinancing and restructuringHow to tell whether refinancing pays off: monthly saving, break-even, term trap and costs, plus two 2025 company refinancings and how restructuring differs.
- Bank reconciliation and cashHow to reconcile a bank statement to the books, which items need entries, and how Alphabet and Meta hold cash, with a live reconciliation calculator.
11. Investments and markets
7 lessonsHow shares and bonds are sold, traded and measured. These lessons start with the markets and the orders investors place, then cover what stocks, bonds and funds are, how risk and return are measured, why diversification works, how options and futures pay off, what fees and tax take, and how investor behaviour and unreliable sources cause losses.
- How securities markets workPrimary and secondary markets, the order book, bid-ask spread, market and limit orders and index weighting, with a live order calculator and two real IPOs.
- Stocks, bonds and fundsWhat stocks, bonds and funds are, who is paid first, and how Coca-Cola and PepsiCo finance themselves, with a live calculator of returns to owners and lenders.
- Risk and returnTotal return, compounded return and standard deviation, with a calculator comparing US stocks and Treasury bonds across periods from 2000 to 2024.
- DiversificationHow correlation, asset allocation and rebalancing change portfolio risk, with a live stock and bond mix calculator built on real US returns from 2000 to 2024.
- Options and futuresHow calls, puts and futures pay off, with a live payoff calculator, the size of a real oil futures contract, and a worked hedge. Education, not advice.
- Fees, taxes and net returnsHow the expense ratio, sales charge and tax shrink what an investor keeps, with a live calculator comparing two real global funds over decades.
- Biases and evaluating sourcesLoss aversion, herd behaviour and other investor biases, the cost of reacting to a bad year, and the SEC's red flags for judging an investment claim.
12. Economics for finance
7 lessonsHow prices, inflation, growth, interest rates and exchange rates work, and why they matter to companies and investors. These lessons start with a single market and move to the whole economy: how a price is set, how inflation is measured, how output and jobs are counted, what central banks do, what the yield curve shows, how exchange rates and a country's payments work, and how a government's debt changes over time.
- Supply, demand and pricesHow demand, supply and elasticity set prices, with a live calculator and two real cases: the egg price spike at Cal-Maine and Tesla's 2023 price cuts.
- InflationWhat inflation is, how a price index is built, what causes it, and how one shock reaches the headline rate, with a calculator using real US CPI weights.
- GDP, cycles and jobsHow GDP is measured, how recessions are dated, what the unemployment rate misses and which indicators lead, with a live jobs calculator.
- Central banks and interest ratesWhat the Fed and the ECB are asked to do, how rate changes spread, and a live Taylor rule calculator, with Lennar as a real-company example.
- Yield curvesHow to read the Treasury yield curve, why it inverts and what that signals, with a live calculator and two real banks as examples.
- Exchange rates and paymentsHow exchange rates work, what the balance of payments records and how currency moves company results, with a live calculator.
- Fiscal policy and public debtDeficits, debt and why a debt ratio rises or falls, with a live calculator, US and Japan data and two companies' tax rates.
13. Personal finance
8 lessonsHow a household reads and plans its own money. These lessons start with the personal balance sheet and cash flow, then cover budgeting, emergency funds, paying down debt, insurance, retirement saving and inflation, the line between tax planning and tax evasion, and how to set goals and test them against an uncertain return.
- Net worth and cash flowBuild a personal balance sheet and cash flow, see why net worth changes by more than you save, and compare with Federal Reserve data.
- Budgeting and trade-offsHow to build a budget, tell needs from wants, and see trade-offs in dollars, with a live calculator and US household spending data.
- Emergency funds and goalsHow big an emergency fund should be, how long it takes to build, and how sinking funds work, with a calculator and Federal Reserve data.
- Paying down debtCompare the avalanche and snowball methods on four debts, with a live calculator and New York Fed and Federal Reserve data.
- Insurance fundamentalsHow premiums, deductibles and limits work, with a live calculator and the 2025 results of Progressive and Allstate.
- Retirement planningHow savings compound, why the real return matters and how a pot becomes income, with a live calculator and Fed and SSA data.
- Tax planning and evasionLawful tax planning versus avoidance and evasion, how tax bands and marginal rates work, and OECD data on tax on wages.
- Goals and uncertaintyTurn a financial goal into a monthly amount, then test it against real US stock history and a savings account with a live calculator.
14. Risk
6 lessonsHow losses are measured and managed. These lessons start with value at risk and expected shortfall, then cover interest-rate risk and duration, hedging currency risk with forwards, liquidity risk and bank runs, operational and concentration risk, and stress tests within enterprise risk management.
- Value at riskCompute value at risk and expected shortfall from 97 years of real S&P 500 returns, and compare them with a normal curve using a live calculator.
- Interest-rate riskMeasure interest-rate risk with duration, then see how a bank's assets, liabilities and equity react when yields rise, with a live calculator.
- Hedging currency riskSee how a forward contract fixes an exchange rate, what it costs, and how hedge ratios change profit across 26 years of real euro-dollar moves.
- Liquidity riskSee why a bank with more assets than debts can still fail, how the liquidity coverage ratio works, and how deposits left SVB, with a live calculator.
- Operational and concentration riskSee what a systems outage cost Delta, how banks set capital for operational risk, and what losing a big customer does to profit, with a live calculator.
- Stress tests and risk managementLearn how the Fed stress-tests banks, how a reverse stress test works, and how risk appetite and three lines of defence fit together, with a live calculator.
Where the numbers come from
Every company figure comes from a filing the company published, and every subtotal is rebuilt from the printed lines and checked by code before a page can be published. If a total does not tie out, the page does not build. Read how we check numbers for the full method, including what the site does not claim.