The Map, the Machine & the Five Questions

Phase 0 · Orientation & Foundations · Week 1 · ~8 hours of module work

Somebody paid ₹4,000 this morning for a claim called "DMART." Not for a shop, not for a shelf of atta and soap you could stand in front of and touch. For a claim.

This program assumes you cannot yet say why that was a sane thing to do, and it assumes you know nothing else about finance either, starting with what a balance sheet is. The Master Map in your Library is the blueprint of the whole path; keep it open as a reference while you work, and come back to it whenever you want to see where a module sits. The numeracy bootcamp runs alongside in the same week, and how capital markets work follows in week 2.

By the end you will carry the two ideas that organize the entire program. The first is the five questions every business analysis answers. The second is the master idea: a business creates value only when it earns more on the money inside it than that money costs. You will also have taken a placement diagnostic, so the program starts exactly where you are.

Units, used throughout: ₹1 lakh = 100,000; ₹1 crore = 10 million (100 lakh); US figures in $m and $bn. ₹1 crore ≈ $115–120k at recent exchange rates (as of mid-2026, verify).

Your ~8 hours: core content with notes (3.0h) · worked examples + practice set (2.0h) · diagnostic, scoring, placement decision (1.0h) · mini-project (1.5h) · mastery check, teach-back, journal (0.5h).

Learning objectives

You will be able to:

1. Explain from first principles why businesses exist (surplus, specialization, exchange) and why capital markets exist (matching savings to enterprise; making ownership claims liquid), with numbers.
2. Define a share precisely, as a proportional claim on a business's future cash flows, and use it to distinguish investing from speculation.
3. State the five questions from memory, in order, explain what each asks, and why price comes last.
4. State the master idea, that value is created only when ROIC exceeds the cost of capital and the business can reinvest at that spread, and demonstrate it with a numeric example in which the faster-growing company is worth less.
5. Trace how ₹1 of DMart's sales and $1 of Costco's sales becomes profit, and explain why both choose thin margins deliberately.
6. Compute a simple ROIC (profit ÷ capital tied up), an economic profit ((return − hurdle) × capital), and an implied yield (annual owner cash ÷ price).
7. Navigate the program: the eleven phases, the signature skill, the mastery-gate rules, the weekly template.
8. Take the 20-question placement diagnostic, score it, and make a rule-based placement decision.

Prerequisites & connections

Builds on. Nothing. You need school arithmetic: percentages, multiplication, reading a table. If those feel shaky, the numeracy bootcamp that runs in parallel this week repairs them. Start it alongside, not instead.

Builds into. Everything. How capital markets work opens the machine room behind the "why markets exist" story told here: exchanges, order books, settlement, SEBI/SEC/RBI. The numeracy bootcamp formalizes the compounding arithmetic used casually here. The toolkit installs the knowledge system, and the guided annual-report read turns the mini-project's first contact with DMart and Costco into a full read of both reports. Phase 1 teaches the language in which question 1 is answered precisely; Phase 2 teaches when to distrust it; Phase 3 turns the "hurdle rate" hand-wave below into a formal cost of capital, and nothing here requires the WACC machinery that arrives with it. Phases 4–5 answer question 2 in depth. Phases 6 and 9 build temperament, Phase 7 supplies the macro weather, and Phase 8 compresses everything into the signature teardown and deep dive, certified in week 69. The five questions you memorize this week are the spine of the weekly company reads that begin in week 5.

4.1 Why businesses exist: surplus, specialization, exchange

Strip everything away and start with two people.

Asha farms. In a good season she grows more grain than her family eats, and that extra is a surplus. Bharat cobbles; he can make four pairs of sandals in the time it would take him to grow one sack of grain, badly. Self-sufficient, each does everything poorly.

The moment they specialize, total output rises, because each hour goes where it produces the most. Problem 1 makes you compute the gain, and it is arithmetic rather than rhetoric. Specialization then creates a new problem, since each of them now holds what the other needs, and money solves it: a token everyone accepts, so anyone can sell to whoever wants their output and buy from whoever has what they need. A market is any arrangement where buyers and sellers meet and prices form, and it coordinates thousands of strangers with nobody in charge.

A business is this value creation organized to repeat at scale: it buys inputs (materials, labor, equipment, money itself), transforms them, and sells output that customers value more than the inputs cost. That gap is where profit comes from.

Here is the sentence to keep. Honest profit is the measurement of value created for others. A grocery chain that buys toothpaste at ₹80, moves it near your house, and sells it at ₹95 created ₹15 of place-and-time convenience you willingly paid for. If that survives rent, salaries, and electricity, the leftover profit certifies the whole chain of activity was worth doing.

Two caveats, so you never hold this naively. Reported profit is a human-made number and can be manipulated, which is why Phase 2 exists. And profit can coexist with harm the price doesn't capture: pollution, deception, monopoly abuse, which is why the ethics-and-governance thread exists. The first principle still stands. Specialization plus exchange creates value, and a business is a repeatable machine for doing it.

4.2 Why businesses need outside money: and the two claims on a business

Machines that create value need money before the value shows up: shelves stocked before customers pay, a decade of drug research before the first prescription. Opportunity arrives bigger than the founder's savings, so businesses raise outside money. Every rupee raised, anywhere on earth, takes one of two forms:

• Debt, a fixed claim. The lender is promised, say, 10% a year and the money back. Boom or stumble, the promise is the same, and it is paid first, on pain of default.
• Equity (ownership), the residual claim. The owner gets whatever is left after suppliers, employees, the taxman, and lenders. No promises, no ceiling, no floor above zero. Equity eats last, and sometimes eats extraordinarily well.

Hold that intuition. Debt is fixed; equity is the residual, forever. Problem 2 will make you feel how differently the same bakery year lands on each claim. All of Phase 1's accounting is, in one sense, bookkeeping of what belongs to which claim, and the balance sheet's Assets = Liabilities + Equity is this paragraph written as an equation.

Then the invention that changed everything: the joint-stock company, which splits ownership into thousands (today, billions) of identical transferable shares. Three consequences:

1. Big pools of capital. No single fortune could fund a railway or a semiconductor fab; ten thousand small fortunes can.
2. Limited liability. A shareholder can lose only what they paid; creditors cannot come after your house. Without this, no sane stranger would buy a sliver of a business they don't control.
3. Separation of ownership and management. Owners hire managers, which is wonderfully efficient and permanently dangerous, because managers may serve themselves. File this away: it is exactly why question 3 exists.

History anchors: the English East India Company (1600) and the Dutch VOC (1602) were the first great joint-stock enterprises, and the VOC's freely traded shares in Amsterdam make it the modern ancestor of every listed company. The Buttonwood Agreement (1792) seeded the NYSE. Bombay's banyan-tree brokers formalized in 1875 into today's BSE, Asia's oldest exchange; the NSE brought fully electronic nationwide trading from 1994. DMart trades on NSE and BSE; Costco on Nasdaq. Same 400-year-old idea.

4.3 Why ownership claims trade: liquidity, price, and Mr. Market

Suppose shares could never be resold, so whoever bought at the founding held until the company died. Would you buy? Only at a huge discount: your money would be hostage for decades.

Flip that around and you have the deep reason secondary markets exist. (In a secondary trade, investors sell existing shares to each other; the company receives nothing.)

Liquidity, the ability to exit at a fair price at any time, makes strangers willing to commit capital in the first place, and to accept a lower return for it. Because you can sell any minute, you will fund a factory that takes twenty years to pay off. Liquid markets make patient capital cheap, and that is the social function of the flickering screens. The machinery behind it gets its own week: exchanges, order books, brokers, depositories, settlement, indices, SEBI/SEC/RBI.

But liquidity has a psychological price. Once your claim is repriced every second, it is easy to forget it is a claim on a business at all.

Fix the distinction now, permanently. Price is what the market will pay today: the outcome of the most recent trades between whoever showed up. Value is what the claim is worth, meaning the cash the underlying business will generate over its remaining life, and nothing else. Benjamin Graham's metaphor compresses it. You own a shop with a partner, Mr. Market, who every day names a price at which he'll buy your half or sell you his. Euphoric some days, despondent others, never offended when ignored, always back tomorrow.

The whole discipline of investing is refusing to let his mood become your estimate of value. Price is an offer, not a verdict.

One reframe to keep forever: when DMart's price moves 3% in a day, the stores, trucks, and people are unchanged. What moved is the market's aggregate expectation of the future. Prices are expectations made visible, and question 5 treats them exactly that way.

4.4 What investing actually is

Sharma's pharmacy reliably puts ₹1,00,000 a year in his pocket after every cost, including a fair salary for his own hours. Assume the stream is flat, forever. He wants to sell it to you. What should you pay?

Anchor on the alternative. A fixed deposit pays ~7% (as of mid-2026, verify), so a safe lakh-a-year costs 1,00,000 ÷ 0.07 ≈ ₹14.3 lakh. The pharmacy's lakh is not safe, because a rival could open next door, so demand more. At 12.5% you pay at most 1,00,000 ÷ 0.125 = ₹8,00,000.

You have just valued a business with nothing but division, and a share is a proportional claim on exactly this kind of stream. The general form has a name.

Investing is buying partial ownership of future cash flows for less than they are worth.

Every word is load-bearing. Partial ownership: you own 0.001% of the actual business, its brands, its debts, its destiny, not a lottery ticket correlated with it. Future cash flows: the only thing a financial asset can give its owners is cash later, whether as dividends, buybacks, or a final sale to someone valuing the same stream; a claim that never leads to cash is worth nothing, however exciting. Worth: the stream can be valued, at least as a range. Less than: the profit lives in the gap between price and value, which is Graham's margin of safety.

The other activity on the same screens is speculation: buying because the price will rise, because someone will pay more later, regardless of what the business earns. Benjamin Graham fixed the boundary in The Intelligent Investor (1949): an operation counts as investment only if thorough analysis says it "promises safety of principal and an adequate return." Miss either half and you are speculating. Speculation isn't illegal or always foolish. It is a different game, predicting other people's behavior, in which this program has no edge to teach. It teaches the other game: valuing businesses.

You capitalized a stream, and the tool is value of a flat perpetual stream ≈ annual cash ÷ required return. It runs backwards too, because at any price, implied yield = annual cash ÷ price. If Sharma demands ₹16 lakh, the implied yield is 6.25%, below the FD rate, for a riskier stream. That is a bad trade unless the profits will grow. Growth changes everything, and Phase 3 builds the machinery: first the perpetuity, derived properly, then growth added on top. A peek at what growth does: at 12.5% required and 5% growth, the same pharmacy is worth 1,00,000 × 1.05 ÷ (0.125 − 0.05) = ₹14 lakh, not ₹8 lakh, which is exactly why prices that assume growth need interrogation.

That is investing in miniature: estimate the stream, demand a return matching the risk, compare to price. The next 79 weeks upgrade each part: reading the stream from filings (Phases 1–2), judging its durability (4–5), setting the required return honestly (3), comparing to price without self-deception (3, 6, 8).

Two beginner traps, disarmed now. First: most listed companies pay out only part of their profit as dividends, and some pay none at all. Retained profit doesn't vanish. It is reinvested, and whether that adds value depends entirely on the return the reinvested money earns, which is the master idea coming up next. Second: "someone will always buy it from me" is not a cash flow; your sale price is just the next owner's estimate of the remaining stream. Chains of buyers can levitate a worthless claim for years, which is what a bubble is, but the stream is the only ground floor.

4.5 The five questions: the spine of everything

Every ratio, standard, framework and model in this program is machinery for answering five questions about a business, faster and more reliably than the market:

1. What does it do and how does it make money?
2. Is it a good business — is ROIC durably above the cost of capital?
3. Is it run by good, honest, aligned people who allocate capital well?
4. What can kill it?
5. What is the price implying, and is that beatable?

Memorize them this week, verbatim, in order. Here is what each asks, illustrated with the two companies that recur through the whole program: DMart (Avenue Supermarts Ltd., Indian grocery retail, NSE: DMART) and Costco (US membership warehouse retail, Nasdaq: COST). All figures are illustrative, modeled on ~FY24/FY25 scale, so pull the actual filings (the mini-project does).

Question 1: What does it do and how does it make money? Not the tagline, the mechanism: who pays, for what, how often, what it costs to deliver. DMart: customers pay at ~400+ large-format, mostly owned stores for groceries priced visibly below competitors every single day (no sale events, everyday low price); DMart buys huge volumes cheap, pays suppliers unusually fast in exchange for extra discounts, and runs lean. Costco: households pay a membership fee (~$65–130/year) for the right to shop warehouses selling bulk goods near cost, and most of the operating profit is the fees. One label, "discount retail", over two genuinely different machines. If you cannot answer question 1 in plain language, nothing downstream is safe. (Phases 1, 4–5.)

Question 2: Is it a good business? "Good" has one precise meaning here: it earns a high return on the money tied up inside it, sustainably. That is the ROIC-versus-cost-of-capital test, and the lemonade ledger below builds it from scratch. Not size, growth, fame, or margin: DMart and Costco keep only ~₹4.75 and ~$2.9 of each 100 of sales, yet both are excellent businesses, because they spin their capital so fast that thin margins compound into fat returns. Following the rupee and the dollar through each business shows exactly how. (Phases 2, 4, 5.)

Question 3: Is it run by good, honest, aligned people who allocate capital well? Managers control the cash. Each year they choose to reinvest, acquire, pay dividends, buy back shares, or repay debt, and those choices, compounded over a decade, matter as much as the business itself. You are also asking whether the reported numbers can be believed, and whether the people steering win when you win. India adds the promoter lens: a controlling founder or family whose shareholding, share-pledging, and related-party dealings you will learn to read. Flavor: DMart's promoter group holds a very large majority, essentially unpledged, and reinvests nearly all profit into new stores; Costco is famous for obsessive cost culture and occasional special dividends. (Capital allocation, Phases 6 and 8, and the ethics thread.)

Question 4: What can kill it? Inversion: map how it dies before admiring how it grows. A technology shift, a regulator, a debt wall, one customer at 60% of revenue, fraud in the books, a promoter treating the company as a wallet. DMart: quick-commerce grocery delivery in Indian metros is the live bear case. Costco: e-commerce, and whether the membership stays compelling to the next generation. These are question-4 answers even though nothing is wrong today, because you map fragility rather than predict doom. (Phases 2, 5, 7, 9.)

Question 5: What is the price implying, and is that beatable? Often you will invert the machine: take today's price, solve for the future it silently assumes, then judge that future. Both companies have habitually traded at demanding multiples: DMart's P/E often 80–100×, Costco's around 50× (as of mid-2026, verify). Those prices imply decades more of high-return growth. A wonderful business can still be a poor investment at a price that assumes perfection, and a mediocre business can be a fine investment at a price that assumes catastrophe. (Phases 3, 8.)

Why this order matters. Questions 1→4 build your independent view of the business; only then does the price enter, as a hypothesis to test rather than an answer to justify. Run it in reverse and you become the market's lawyer instead of its judge: once you know the price, every judgment bends toward it. That bend has a name, anchoring, and Phase 6 names the whole bias family it belongs to.

4.6 The master idea: ROIC above the cost of capital: taught with a lemonade ledger

Here is the single most important idea in business analysis. Everything else in 80 weeks is elaboration.

You put ₹100 into a lemonade stand: cart, jugs, a cash float, lemons. That ₹100 is your invested capital, the money tied up inside the machine so it can operate. Not sales, not profit; the capital sitting inside. Over the year, after every cost and tax, the stand hands you ₹15. Your return on invested capital is 15 ÷ 100 = 15%.

That is all ROIC is: ROIC = after-tax operating profit ÷ invested capital, profit per rupee tied up in the machine. The proper build of both terms from real filings comes with the returns-on-capital work, and the intuition never changes.

Is 15% good? You cannot know until you ask the question that separates analysts from accountants: what else could that ₹100 have earned, at similar risk?

Capital always has an alternative use. That alternative is its opportunity cost, and here we call it the hurdle rate. With Indian government bonds near 7% (as of mid-2026, verify), nobody sane accepts 7% from a risky lemonade stand. Owners of risky businesses in India typically demand roughly 12–14%, in the US 8–10%. Those are method-anchored ranges rather than constants. Phase 3 teaches you to build the number, the cost of capital or WACC, from live data, and until then we say "hurdle" and use 12% for Indian examples.

Now the test, and the vocabulary of value:

• Stand A earns 15% against a 12% hurdle → every ₹100 inside it produces ₹3/year more than the money's alternative use. It creates value. That ₹3 is its economic profit: economic profit = (ROIC − hurdle) × invested capital.
• Stand B earns 8% → profitable, since ₹8 is real money, yet every ₹100 inside produces ₹4/year less than the alternative. Economic profit −₹4: it destroys value while reporting profits.

That already overturns the everyday meaning of "profitable." The idea shows its teeth when you add growth, which means feeding the machine more capital:

Growth is a multiplier on the spread, not a good in itself. Feed capital to a machine earning above the hurdle and value compounds. Feed one earning below it and you are scaling a shredder: revenue up, profit up, value down.

In miniature: both stands reinvest an extra ₹100. Stand A's extra ₹100 yields ₹15/yr, and capitalized at 12% that is a stream worth 15 ÷ 0.12 = ₹125 for ₹100 spent, so +₹25 created. Stand B's yields ₹8/yr, worth 8 ÷ 0.12 ≈ ₹67, so −₹33 destroyed. A rupee handed to B for growth becomes 67 paise on arrival. Same act, opposite result, and the only difference is the spread. Worked example 2 runs it at company scale.

Write this one on the first page of your notes, and repeat it until it is reflex:

**A business creates value only when it earns returns on invested capital above its cost of capital, and grows value only insofar as it can reinvest at that spread. Growth without the spread is destruction in a party hat.**

Three corollaries, each of which becomes a phase of the program:

1. The spread gets attacked. A 20% ROIC is an invitation: competitors pile in until returns fall to the hurdle. When high returns persist, something blocks the arbitrage, and that something is a moat: brand and intangibles, switching costs, network effects, cost advantages, efficient scale. Durability of the spread, not this year's spread, is what question 2 really asks. (Phase 4.)
2. Reinvestment is the second engine. A business earning 25% that can redeploy only ₹5 of every ₹100 it makes creates less new value than one earning 18% that can redeploy ₹80. Spread × amount reinvestable × years it lasts: that product is the whole growth story. (Phases 3–4.)
3. Managers who don't know this destroy value enthusiastically, through empire acquisitions and growth targets with no return test. Question 3 exists to catch them. (Capital allocation, Phase 6.)

A real-world contrast (qualitative; verify against history as your tools arrive). India's airlines grew passenger volumes roughly fourfold over two decades while the industry cumulatively lost money and two large carriers, Kingfisher and Jet Airways, went bankrupt. That is growth at returns below the cost of capital, at scale. Over the same decades, quieter compounders like Asian Paints grew more modestly, earned far above the hurdle year after year, reinvested, and created enormous value. The lesson is not "avoid airlines, buy paint". It is never applaud growth until you know the return on the capital funding it.

One more tool, a preview of the DuPont logic you'll formalize in Phase 2:

ROIC = profit margin × capital turnover, which is how much you keep of each sale, times how many times a year your capital turns into sales.

A jeweler keeping ₹10 of every ₹100 sold but selling through its capital once a year earns 10%. A grocer keeping ₹5 but turning capital four times earns 20%. Thin margins and fat returns can be the same business. Which brings us to our two companies.

4.7 One rupee into DMart, one dollar into Costco

Follow the money at intuition level; Phase 1 will let you rebuild these walks from the filings yourself. All numbers are illustrative, modeled on ~FY24/FY25 scale, so pull the actual filing (DMart's annual report via its investor-relations page or NSE/BSE; Costco's 10-K via SEC EDGAR).

DMart: ₹100 walks into a store. Avenue Supermarts, on roughly FY25 scale, has revenue of the order of ₹59,000 crore and net profit around ₹2,700 crore. Per ₹100 of sales:

₹4.75 kept per ₹100 looks feeble until you remember margin × turnover. DMart sells through its inventory roughly every 3–4 weeks (11–14 stock turns a year), each rupee of capital generates several rupees of annual sales, and its return on capital employed lands around 20% (illustrative) against an Indian hurdle of ~12%. That is a wide, persistent spread.

The thin margin is strategy. Pricing below everyone else packs the stores and spins the inventory, and the volume that comes back through the door is what makes the low prices affordable to offer in the first place. A fat-margin DMart would be a slow, beatable DMart. The moat, previewed: a cost advantage spent on prices rather than reported margin. And DMart reinvests essentially all profit into new stores, which is reinvestment at a high spread, the compounding engine from the lemonade ledger.

Costco: $1 walks into a warehouse. On roughly FY24 scale, total revenue is about $254bn, made of merchandise sales ≈ $250bn plus membership fees ≈ $4.8bn, and net income is about $7.4bn. Per $100 of merchandise sales: about $89 goes to suppliers (gross margin ~11%, roughly two-fifths of a typical supermarket's), about $9 covers warehouses and wages, leaving $2-and-change from actually selling things.

The astonishing line sits elsewhere. Membership fees arrive with almost no incremental cost and amount to roughly half of the ~$9.3bn operating income (worked example 4 does the arithmetic). Costco turns inventory ~12 times a year and collects immediately while paying suppliers on ~30-day terms, so suppliers largely finance the inventory on the floor. Renewal rates run ~90% (illustrative; check the 10-K), so the fee stream behaves almost like subscription revenue.

Read the two models side by side:

Different countries, different currencies, different mechanisms, one identical deep structure: modest margins, ferocious capital productivity, a durable spread over the hurdle, decades of reinvestment. Every Phase 5 sector playbook is a variation on reading a table like this.

4.8 The map of the program: 80 weeks, eleven phases, one skill

The destination is a signature capability: form a genuine, structured understanding of any business in 1–2 hours; know essentially everything that matters after a 2–3 day deep dive. That gets certified in week 69 on companies you've never seen, then proven twice at institutional grade in Phase 10. Everything between is sequenced to make it possible:

The five questions organize even the calendar: Phases 1–2 make you fluent in Q1's raw material and guard against being lied to; Phases 3–5 quantify Q2 and Q5 and deepen Q1; Q3 and Q4 accumulate everywhere, with dedicated machinery in 3.07, 6, 7, and 9; Phase 8 compresses all five into two repeatable formats.

The weekly operating system (~25 hours, fixed): ~16h module work · ~3h daily loop (30 min × 6 days: due flashcards, then app drills) · ~2h company-of-the-week (from week 5: one real company every Saturday, India and US alternating, standard rising, ~60 companies before Phase 8) · ~3h reading spine (this phase: Zerodha Varsity + Piper) · ~1h Sunday review and journal. Protect the daily loop above everything; it is the difference between "studied once" and "knows."

The rules that make it real (the nine working agreements from the master map, digested): mastery gates are sacred at ≥85%, crown gates at ≥90%, and you retake a different form after two-plus days if you miss; write your answer fully before looking at any solution; every concept touches a real company within 48 hours; India and US, always both; the journal is written before outcomes and never edited after; primary sources outrank every summary; process over outcome; and none of this is investment advice, since every company here, DMart and Costco included, is a teaching specimen rather than a recommendation.

4.9 The self-placement diagnostic

Twenty questions, four sections. Take it closed-book, alone, in 45–60 minutes, before reading the answer key. Its purpose is placement, not judgment. There is no pass or fail, and for a true near-beginner the expected score is low, because the program is built for exactly that. Mark guesses with a ? and treat lucky ?-hits as wrong when placing yourself. The app's onboarding diagnostic mirrors this one.

Section A — Numeracy & money basics

A1. A stock rises 15% in year one and falls 15% in year two. ₹800 invested becomes: (a) ₹800 (b) ₹782 (c) ₹818 (d) ₹770

A2. ₹1,00,000 compounds at 8% per year for 3 years. Final amount (nearest rupee)?

A3. Your fixed deposit pays 7%; inflation is 5%. Your real return, the gain in what you can actually buy, is approximately: (a) 12% (b) 7% (c) 2% (d) 5%

A4. A portfolio is 60% in asset X returning 10% and 40% in asset Y returning 5%. The portfolio return is ___%.

A5. A shirt's price was cut by 20% and now sells for ₹400. The original price was ₹___.

A6. A venture has a 50% chance of paying ₹200 and a 50% chance of losing ₹50. Its expected value is ₹___.

Section B — Accounting & statements

B1. Which statement shows what a company owns and owes at a single point in time? (a) income statement (b) balance sheet (c) cash flow statement (d) annual report cover

B2. Under accrual accounting, revenue is recorded when: (a) cash is received (b) the order is placed (c) the goods/services are delivered (earned) (d) the financial year ends

B3. A company has assets of ₹500 crore and liabilities of ₹300 crore. Shareholders' equity is ₹___ crore.

B4. A firm buys a ₹10 lakh machine that will last 10 years. Good accounting will: (a) expense ₹10 lakh immediately (b) never expense it (c) spread ~₹1 lakh of expense over each of 10 years (d) expense it when the machine is sold

B5. A company sells ₹50 lakh of goods on credit (customer hasn't paid yet). This period, reported profit and cash received change by, respectively: (a) +₹50L and +₹50L (b) +₹50L (less costs) and ₹0 (c) ₹0 and ₹0 (d) ₹0 and +₹50L

B6. In double-entry bookkeeping, to increase an asset account you ___ it: (a) debit (b) credit (c) either (d) close

B7. Which statement reports cash actually received and spent during a period, sorted into operating, investing, and financing? (a) income statement (b) balance sheet (c) cash flow statement (d) statement of changes in equity

Section C — Markets & instruments

C1. The essential difference between a bond and a share: (a) bonds are riskier (b) a bondholder has a fixed claim (interest + principal); a shareholder owns the residual, whatever is left (c) shares pay guaranteed dividends (d) bonds trade only privately

C2. A company sells new shares to the public for the first time (an IPO) in the ___ market; when those shares later change hands between investors on the NSE or Nasdaq, that is the ___ market.

C3. The Nifty 50 and the S&P 500 are: (a) companies (b) regulators (c) indices — measuring sticks tracking a basket of listed companies' prices (d) mutual funds

C4. A company earns ₹20 per share this year and its share trades at ₹500, a P/E of 25. This means: (a) the price will rise 25% (b) you are paying ₹25 for each ₹1 of current annual earnings (c) dividends are ₹25 (d) the company is 25 years old

Section D — Analysis & valuation intuition

D1. Firm X: 12% net profit margin, 8% return on invested capital. Firm Y: 4% net margin, 22% return on invested capital. Both face a 12% hurdle. The better business is: (a) X, for the higher margin (b) Y, for the higher return on capital (c) equal (d) can't say without revenue

D2. A company earns 6% on every rupee it reinvests; its investors' opportunity cost is 12%. If it reinvests more and grows faster, its value per rupee invested: (a) rises (b) falls (c) unchanged (d) depends on the P/E

D3. True or false: a genuinely wonderful, honestly run, growing company can still be a poor investment.

Answer key (1 point each; be strict). A1 (b): 800×1.15×0.85 = ₹782; gains and losses are not symmetric. A2 ₹1,25,971 (1,00,000 × 1.08³); accept ₹1,25,900–₹1,26,000. A3 (c): real ≈ nominal − inflation (exactly 1.07/1.05 − 1 = 1.9%). A4 8% (0.6×10 + 0.4×5). A5 ₹500 (400 ÷ 0.8, not 400 × 1.2 = 480, the classic trap). A6 ₹75 (0.5×200 − 0.5×50). B1 (b). B2 (c): accrual means record when earned, not when paid. B3 ₹200 crore (assets − liabilities). B4 (c): that spreading is depreciation. B5 (b): profit is accrual, cash is cash, and the gap becomes a receivable. B6 (a): pure convention, learned cold when double-entry arrives. B7 (c). C1 (b). C2 primary; secondary. C3 (c). C4 (b). D1 (b): margin is not return; Y earns 22% against a 12% hurdle, X earns 8% and destroys value. D2 (b): reinvesting at 6% against a 12% alternative turns each rupee into ~50 paise, and growth amplifies destruction. D3 True, if the price already assumes more than perfection (question 5 is separate).

Placement rubric. Score each section, then apply the rules. The test-out protocol is always the same: attempt the target module's Mastery Check Form A cold, closed book, under honest conditions. Pass at its threshold → log the score, still do that module's flashcards, move on. Fail → do the module in full. The diagnostic alone never skips anything; only a passed mastery form does.

Record in your journal: total and section scores, guesses that landed, your placement decision, and one sentence on how it felt not to know things. You will re-read it in week 80.

Common mistakes & how experts think differently

"The stock is the ticker." Beginners experience a stock as a wiggling price, casino chips with company names on them. Experts hold the ownership frame so firmly it changes their language ("I own 0.5% of this business's future cash flows"); when price falls with the business unchanged, their first thought is the same stream got cheaper, not I am losing. Train the reflex: every time you see a price, silently append "…for a claim on the cash flows."

"High margin = good business." This is the most common analytical error at this stage, and DMart and Costco are the standing counterexamples. Margin is one lever, turnover the other; the product is what matters, and the hurdle is the judge. A 3%-margin retailer turning capital fast can beat a 15%-margin manufacturer whose cash sleeps in inventory. Never praise or damn a margin until you know what return on capital it compounds into.

"Growth is good." Say "growth" to a beginner and they hear value; an expert reflexively asks at what return on what capital? Reinvesting at 8% against a 12% hurdle turns ₹1.00 into ~₹0.67, and doing more of it faster destroys value faster, even as revenue and reported profit rise. Applaud growth only after seeing the spread.

"Profitable = value-creating." Accounting profit ignores the cost of the owners' capital. A business can report profit every year and still make its owners poorer than the alternative. Economic profit, (ROIC − hurdle) × capital, is the analyst's ledger, and the accountant's "profit" and the economist's differ by exactly the opportunity cost of capital.

Starting with the price. Beginners look up the price and P/E first, then form a view, and everything they subsequently "discover" bends toward that anchor. Experts sequence 1→4 before 5 deliberately, sometimes literally avoiding the price until the business work is done. Respect the order mechanically until it becomes taste.

"The market is a casino" and "the market can't be beaten", held as slogans. Both extremes excuse you from work. The honest position: markets are mostly right most of the time (so question 5 treats the price as a hypothesis deserving respect), and occasionally, identifiably wrong about individual businesses (so the signature skill can exist). Phases 6 and 9 present the efficient-markets evidence fairly. It is strong enough that most people should index, and the program trains you for the "and yet."

Skipping foundations because the destination is exciting. Valuation models are seductive; debits and credits are not. But a DCF built on statements you can't read, or can't distrust, is a spreadsheet-shaped hallucination. Trust the sequence: language, lie-detection, then valuation.

Treating the diagnostic as an ego test. Inflating your placement steals from exactly one person. Experts are ruthless about knowing what they don't know. Munger held that knowing the edge of your competence beats brilliance. Practice on yourself first.

Worked examples

Worked example 1: Pricing Sharma's pharmacy (capitalizing a stream, forwards and backwards)

The pharmacy reliably produces ₹1,00,000/year of owner profit after all costs, including a fair salary for Sharma's hours. Assume the stream is flat and dependable. FDs pay 7% (as of mid-2026, verify).

Step 1: the risk-free benchmark. Cash needed in an FD to produce ₹1,00,000/yr: 1,00,000 ÷ 0.07 ≈ ₹14.3 lakh. That is what a safe lakh-a-year costs.

Step 2: demand more for risk. The stream can be disrupted, so you require 12.5%. Maximum price: 1,00,000 ÷ 0.125 = ₹8,00,000.

Step 3: run it backwards on an asking price. Sharma asks ₹16,00,000. Implied yield: 1,00,000 ÷ 16,00,000 = 6.25%, which is less than the FD, for a riskier stream. At that price you are either overpaying or implicitly betting profits will grow. Make that bet consciously or not at all. This is question 5 in embryo: the price implies a future, so name it, then judge it.

Step 4: the growth peek. If profits grew 5%/yr and you still required 12.5%, the Gordon growth model that the valuation phase builds prices the stream at 1,00,000 × 1.05 ÷ (0.125 − 0.05) = ₹14,00,000. Growth nearly doubled the value. Real, durable growth is enormously valuable, which is exactly why prices that assume it need interrogation.

Worked example 2: Two companies, and why the faster grower is worth less

Two synthetic companies. Both start with ₹1,000 crore of invested capital; the hurdle is 12%. Steady Ltd earns an 18% ROIC; Busy Ltd earns 8%.

Step 1: today's economic profit.

• Steady: after-tax operating profit = 18% × 1,000 = ₹180 cr → economic profit = (18% − 12%) × 1,000 = +₹60 cr/yr.
• Busy: profit = 8% × 1,000 = ₹80 cr → economic profit = (8% − 12%) × 1,000 = −₹40 cr/yr, profitable and value-destroying simultaneously.

Step 2: both "grow" by reinvesting ₹500 crore at their existing returns.

• Steady: new profit = 18% × 1,500 = ₹270 cr (+50% growth). Economic profit = 6% × 1,500 = +₹90 cr.
• Busy: new profit = 8% × 1,500 = ₹120 cr (also +50% growth!). Economic profit = −4% × 1,500 = −₹60 cr. Destruction grew exactly as fast as profit.

Step 3: what did each ₹500 crore of growth create? Capitalize the added profit at the 12% hurdle:

• Steady added ₹90 cr/yr (18% × 500) → stream worth 90 ÷ 0.12 = ₹750 cr for ₹500 cr invested: +₹250 crore created.
• Busy added ₹40 cr/yr (8% × 500) → stream worth 40 ÷ 0.12 ≈ ₹333 cr for ₹500 cr invested: −₹167 crore destroyed. Every rupee handed to Busy became ~67 paise.

Step 4: the headline trap. Next year's paper: "Busy Ltd profits surge 50% on aggressive expansion." Revenue up, profit up, owners poorer by ₹167 crore than if the cash had simply been returned. The identical headline for Steady would describe ₹250 crore of genuine creation. You cannot tell them apart without the spread, which is why question 2 is about ROIC versus the cost of capital and never growth alone.

Worked example 3: The grocer and the jeweler (margin × turns)

Two synthetic single-store businesses, each with ₹100 of invested capital; hurdle 12%.

• GroceryMart sells ₹400/yr (capital turns = 400/100 = 4×) at a 5% after-tax margin → profit = 5% × 400 = ₹20 → ROIC = 20/100 = 20% = 5% × 4.
• Aurum Jewels sells ₹100/yr (turns = 1×, because gold sits in the case for months) at a 10% margin → profit = ₹10 → ROIC = 10% = 10% × 1.

Against the hurdle: GroceryMart's economic profit = (20% − 12%) × 100 = +₹8/yr; Aurum's = (10% − 12%) × 100 = −₹2/yr. The "premium" business with double the margin destroys value; the "cheap" one compounds. First question for every sector in Phase 5: which lever does this model run on, margin, turns, or both?

Worked example 4: Costco: finding the real profit engine (question 1 with numbers)

Illustrative FY24-scale figures (pull the actual 10-K; the mini-project does):

• Total revenue ≈ $254bn: merchandise sales ≈ $250bn plus membership fees ≈ $4.8bn.
• Merchandise costs ≈ $222bn → merchandise gross profit ≈ 250 − 222 = $28bn → gross margin ≈ 28 ÷ 250 ≈ 11%.
• Operating costs (SG&A etc.) ≈ $23.5bn → profit from actually retailing ≈ 28 − 23.5 = $4.5bn, which is about 1.8% of merchandise sales.
• Operating income ≈ 4.5 + 4.8 = $9.3bn → membership fees ≈ 4.8 ÷ 9.3 ≈ 52% of operating income, from ~1.9% of revenue, at almost no incremental cost.

Interpretation, in five-questions language. Q1: Costco is paid for access to groceries at cost, a subscription business in a warehouse costume. Q2: capital recycles fast (≈12 inventory turns; ~30-day supplier terms mean goods are often sold before they're paid for), earning well above the US hurdle. Q4: what could kill it is whatever threatens the membership's perceived value, not merely retail competition. Q5: a ~50× P/E (verify) implies the market expects this engine to compound for a very long time. One reclassification of $4.8bn and the whole company reads differently. "How does it make money" is a numbers question, not a vibes question.

Worked example 5: What a rupee of retained earnings becomes (India)

Nirmal Foods (synthetic) keeps ₹100 of profit per share instead of paying it out, and reinvests it inside the business. Hurdle rate 12%. What did shareholders receive for the forgone dividend? Capitalize the new annual profit the ₹100 throws off at the hurdle, using value ≈ cash flow ÷ required return, the tool from the pharmacy.

Step 1: reinvest at a high return (ROIC 20%). The ₹100 now earns ₹20/yr. Capitalized: 20 ÷ 0.12 ≈ ₹166.7. Shareholders gave up a ₹100 dividend and received ₹166.7 of value, so ₹66.7 created per ₹100 retained.

Step 2: reinvest at a poor return (ROIC 9%). The ₹100 earns ₹9/yr → 9 ÷ 0.12 = ₹75. They gave up ₹100 of cash for ₹75 of value, so ₹25 destroyed per ₹100 retained. The dividend they never received was worth more than what management did with it.

Step 3: reinvest exactly at the hurdle (ROIC 12%). ₹12/yr → 12 ÷ 0.12 = ₹100. Value-neutral: a rupee kept became a rupee of value, no more.

The point. "The company retained most of its earnings to fund growth" is neither good nor bad news until you know the reinvestment ROIC versus the hurdle. Retention is a silent capital-allocation decision management makes on your behalf every year, which is question 3 meeting question 2. A high-ROIC compounder that retains is a gift; a low-ROIC business that retains is a slow leak dressed as ambition.

Worked example 6: What leverage does to owner returns, and to risk (US)

Cascade Tools Inc. (synthetic) has $500m of invested capital earning $60m of after-tax operating profit (NOPAT), an ROIC of 60 ÷ 500 = 12%. Corporate tax is 25%, so pre-tax operating profit = 60 ÷ 0.75 = $80m. Compare two ways to finance the identical machine.

Step 1: all equity. Equity = $500m, no interest, net income = NOPAT = $60m → ROE = 60 ÷ 500 = 12% (with no debt, ROE equals ROIC).

Step 2: add $200m of debt at 6% (equity $300m). Interest = 200 × 6% = $12m. Pre-tax profit = 80 − 12 = $68m; tax at 25% = $17m; net income = $51m → ROE = 51 ÷ 300 = 17%. Leverage lifted owner returns by five points: the borrowed $200m works at the business's 12% operating return while costing 6% pre-tax, and that spread accrues to a thinner equity base.

Step 3: the same leverage in a downturn. Operating profit is not fixed. If pre-tax operating profit falls to $40m (a bad year): all-equity net income = 40 × 0.75 = $30m → ROE = 30 ÷ 500 = 6%; levered = (40 − 12) × 0.75 = $21m → ROE = 21 ÷ 300 = 7%. The five-point advantage has shrunk to one.

Step 4: the fixed claim bites. If operating profit falls to $10m, the all-equity firm still earns 10 × 0.75 = $7.5m (ROE +1.5%) and cannot be forced under. The levered firm owes $12m of interest it did not earn, a pre-tax loss of 10 − 12 = −$2m, cash it must find from reserves or refinancing. Leverage amplifies the good years, amplifies the bad years worse, and can convert a survivable slump into a solvency problem. That is exactly why equity (the residual, no-floor claim, paid last) demands a higher return than debt (the fixed, paid-first claim). This is the numeric skeleton behind the debt-versus-equity distinction drawn earlier; Phase 3 weights the two into WACC, and Phase 5 watches leverage kill banks and NBFCs in real cases.

Practice set

Pen, paper, basic calculator. Write your full answer before reading any solution (working agreement #3). Problems 1–3 guided, 4–9 independent, 10 timed.

Problem 1 (guided). Asha can produce 4 chairs or 20 loaves of bread per week; Bharat can produce 1 chair or 10 loaves. (a) If each spends half the week on each good, what is total output? (b) Asha spends 75% of her week on chairs, 25% on loaves; Bharat makes only loaves. Total now? (c) Bharat wants a chair. Making it himself costs him 10 loaves of production; Asha will sell one for 7 loaves. Who gains?

Solution. (a) Asha: 2 chairs + 10 loaves; Bharat: 0.5 + 5 → total 2.5 chairs + 15 loaves. (b) Asha: 3 chairs + 5 loaves; Bharat: 10 loaves → 3 chairs + 15 loaves, half a chair more, same bread, purely from reallocating hours (Asha gives up 5 loaves per chair; Bharat 10). (c) Both gain: Bharat pays 7 loaves for what would cost him 10 (saves 3); Asha receives 7 for what costs her 5 (gains 2). Trade created 5 loaves of value from thin air, split between them. Businesses institutionalize exactly this; profit is the kept slice of created value.

Problem 2 (guided). A bakery needs ₹10 lakh to open. Option 1: borrow at 10%. Option 2: sell a 25% stake for ₹10 lakh. Compute the founder's income under each option, ignoring taxes, in (a) a good year with operating profit of ₹3,00,000 and (b) a bad year with ₹50,000. (c) What does the lender get in the good year? (d) Which claim is riskier for the outside money, and which for the founder?

Solution. Interest = ₹1,00,000/yr. (a) Debt: 3,00,000 − 1,00,000 = ₹2,00,000, and she still owns 100%. Equity: 75% × 3,00,000 = ₹2,25,000. (b) Debt: 50,000 − 1,00,000 = −₹50,000, so find the cash or default. Equity: 75% × 50,000 = ₹37,500, and the investor absorbs their share of the pain. (c) ₹1,00,000, never more, however great the year. (d) For outside money, equity is riskier: no floor, paid last, which is why equity demands higher returns than debt and is the seed of every hurdle rate in this program. For the founder, debt is riskier, because fixed claims can kill, while equity shares the pain but permanently shares every future upside. Neither is "better"; they are different claims, priced differently.

Problem 3 (guided). Vistara Foods Ltd (synthetic) has 10 crore shares outstanding and earned ₹500 crore of net profit; it pays out 30% as dividends. You own 10,000 shares. Compute: (a) your ownership fraction; (b) EPS; (c) your look-through share of the profit; (d) dividend per share and the cash you receive; (e) at a share price of ₹1,000, the P/E and the earnings yield.

Solution. (a) 10,000 ÷ 10,00,00,000 = 0.0001 = 0.01%, one part in 10,000. (b) EPS = ₹500 cr ÷ 10 cr shares = ₹50. (c) 0.01% × ₹500 cr = ₹5,00,000, equivalently 10,000 × ₹50. The business earned this for you whether or not it mailed any of it to you. (d) Dividends = 30% × 500 = ₹150 cr → DPS = ₹15 → you receive 10,000 × 15 = ₹1,50,000 in cash. The other ₹3,50,000 of your look-through profit was retained and reinvested on your behalf, a gift or a slow leak depending entirely on the reinvestment ROIC versus the hurdle (question 3 meets question 2). (e) P/E = 1,000 ÷ 50 = 20×; earnings yield = 50 ÷ 1,000 = 5%, the P/E upside-down and a first bridge between prices and the return language used here.

Problem 4. Three synthetic firms; hurdle 12%. Alpha: after-tax operating profit ₹24 cr on ₹150 cr invested capital. Beta: ₹33 cr on ₹300 cr. Gamma: ₹9 cr on ₹50 cr. (a) Compute and rank the ROICs. (b) Which create value? (c) Compute each economic profit in ₹ crore — does the ROIC ranking match the rupees-of-value ranking?

Solution. (a) Alpha 24/150 = 16%; Beta 33/300 = 11%; Gamma 9/50 = 18% → Gamma > Alpha > Beta. (b) Gamma and Alpha (>12%); Beta destroys (11% < 12%). (c) Alpha (16−12)% × 150 = +₹6.0 cr; Beta (11−12)% × 300 = −₹3.0 cr; Gamma (18−12)% × 50 = +₹3.0 cr. No: Alpha creates the most rupees despite Gamma's higher ROIC, because it runs a decent spread over three times the capital. ROIC measures the machine's quality; economic profit measures quality × size. (A Gamma that can grow to Alpha's size at 18% is the holy grail, spread plus reinvestment room.)

Problem 5. Kimaya Infra (synthetic) earns 7% ROIC on ₹200 crore of invested capital; hurdle 12%. Management announces a plan to double invested capital at the same return. (a) Compute profit and economic profit before and after. (b) Capitalized at the hurdle, what is each ₹100 of new capital worth once inside? (c) Write the one-sentence memo to the board.

Solution. (a) Before: profit ₹14 cr; economic profit = −5% × 200 = −₹10 cr. After: profit ₹28 cr (doubled!); economic profit = −5% × 400 = −₹20 cr, so destruction doubled too. (b) ₹100 yields ₹7/yr → worth 7 ÷ 0.12 = ₹58.3, so each new ₹100 becomes ~₹58 on arrival. (c) "Until returns exceed the cost of capital, every rupee of growth makes the owners poorer; fix the 7% before feeding it." (Politer variants acceptable; the arithmetic is not negotiable.)

Problem 6. Compute ROIC as margin × turns and give a verdict versus a 12% hurdle: (a) Firm P, after-tax margin 6%, capital turnover 3.0×; (b) Firm Q, margin 15%, turnover 0.6×; (c) Firm R, margin 2.5%, turnover 6.0×. (d) Which most resembles the DMart/Costco pattern?

Solution. (a) 6% × 3.0 = 18% → creates (+6% spread). (b) 15% × 0.6 = 9% → destroys despite the fattest margin (−3%). (c) 2.5% × 6.0 = 15% → creates (+3%). (d) R, with penny margins and ferocious turns, the discount-retail signature. Never read a margin without asking what turnover multiplies it.

Problem 7. A stable shop produces ₹2,00,000/yr, flat; your hurdle is 12%. Three quotes: (a) ₹10 lakh (b) ₹18 lakh (c) ₹25 lakh. Compute the implied yield at each price; which meet the hurdle? For those that don't, what would have to be true?

Solution. Implied yield = 2,00,000 ÷ price. (a) 20%, which clears easily; at your hurdle the shop is worth 2L ÷ 0.12 ≈ ₹16.7L, so ₹10L offers a wide margin of safety. (b) 11.1%, which just misses and is justified only by modest, durable growth. (c) 8%, well below, and it requires meaningful dependable growth (or a much safer stream than assumed). The price didn't change the shop. It changed what must be true, and naming that is question 5's whole job.

Problem 8. Tag each observation with the primary five-questions number it informs (overlaps exist; pick the center of gravity): (a) "68% of revenue comes from one customer." (b) "The promoter has pledged 45% of their shares to lenders." (c) "ROCE has exceeded 25% for ten straight years." (d) "The stock trades at 90× earnings." (e) "60% of revenue is recurring subscriptions; 40% one-time hardware." (f) "CEO bonus is tied to revenue growth alone." (g) "A new technology could make the flagship product obsolete within a decade." (h) "The company reinvests ~all profits into new stores earning ~20% returns." (i) "At today's price, the company must grow 25%/yr for 15 years to justify it." (j) "Gross margin is 14%, but inventory turns 13× a year."

Solution. (a) Q4: concentration is fragility (it also colors Q1). (b) Q3: promoter alignment, since pledged shares can force sales and desperate decisions (feeds Q4). (c) Q2: durable high returns, the moat's fingerprint. (d) Q5: a price, hence an implied future. (e) Q1: the revenue model itself. (f) Q3: incentive design, since growth-only pay invites Busy-Ltd behavior (Problem 5!). (g) Q4: existential threat mapping. (h) Q2: reinvestment at a spread (with Q3 credit to management). (i) Q5: expectations made explicit. (j) Q2: margin × turns quality evidence (with Q1 flavor). Ten scattered facts sorted themselves. The five questions are a filing system for everything you will ever learn about a company.

Problem 9. Common-size walk (illustrative, ~FY24/FY25 scale). Fill the blanks. DMart, per ₹100 of revenue: cost of goods 85.3 → gross profit = ___; operating costs 6.8 → pre-depreciation operating profit = ___; depreciation 1.5 → operating profit = ___; interest & other (net) +0.3 → pre-tax = ___; tax 1.7 → net profit = ___. **Costco, per $100 of total revenue:** merchandise sales 98.1, membership fees 1.9; merchandise costs 87.4 → merchandise gross profit = ___; operating costs 9.1 → operating income (incl. membership) = ___; interest & other +0.2 → pre-tax = ___; tax 0.9 → net profit = ___. Then: (a) whose net margin is higher? (b) does that alone make it the better business, and what two things would you need before judging?

Solution. DMart: 100 − 85.3 = 14.7; 14.7 − 6.8 = 7.9; 7.9 − 1.5 = 6.4; 6.4 + 0.3 = 6.7; 6.7 − 1.7 = ₹5.0. Costco: 98.1 − 87.4 = 10.7; 10.7 + 1.9 − 9.1 = 3.5; 3.5 + 0.2 = 3.7; 3.7 − 0.9 = $2.8. (a) DMart, ~₹5.0 vs ~$2.8 per hundred. (b) No. You need (1) capital intensity and turnover, to convert margin into ROIC, which is the actual test, and (2) durability and price, meaning the spread's persistence (Q2/Q4) and what you're asked to pay (Q5). Margins start the conversation; they never end it.

Problem 10 (timed, 12 minutes, all six parts). (i) Define invested capital in one line. (ii) NOPAT ₹45 cr, invested capital ₹300 cr → ROIC? (iii) ROIC 10%, hurdle 12%, reinvesting heavily → value effect? (iv) Margin 3%, turns 6× → ROIC? (v) A stable ₹1,80,000/yr stream priced at ₹12,00,000: implied yield, and attractive against a 12% hurdle? (vi) Which of the five questions does "what growth rate is baked into today's price?" belong to?

Solution. (i) The money tied up inside the business so it can operate, regardless of whether debt or equity supplied it. (ii) 45/300 = 15%. (iii) Destroys value, because each rupee reinvested at 10% against 12% is worth ~83 paise and heavy reinvestment scales the loss. (iv) 3% × 6 = 18%. (v) 1.8L ÷ 12L = 15% → yes, clears 12% (at the hurdle the stream is worth ₹15L vs a ₹12L price). (vi) Question 5. Scoring: 6/6 in time = fluent; ≤4 = redo the lemonade ledger and worked examples 2–3 before the mastery check.

Problem 11 (guided). Meghna Textiles (synthetic) has ₹250 crore of invested capital earning a 17% ROIC; hurdle 12%. (a) After-tax operating profit and economic profit today? (b) It reinvests ₹150 crore more at the same 17%; total economic profit now? (c) Capitalizing at the hurdle, how much value did that ₹150 crore create?

Solution. (a) Profit = 17% × 250 = ₹42.5 cr; economic profit = (17 − 12)% × 250 = +₹12.5 cr/yr. (b) New capital ₹400 cr → economic profit = 5% × 400 = +₹20 cr/yr. (c) The ₹150 cr adds 17% × 150 = ₹25.5 cr/yr of profit → capitalized 25.5 ÷ 0.12 = ₹212.5 cr of value for ₹150 cr spent → +₹62.5 cr created (equivalently, the ₹7.5 cr/yr of added economic profit capitalized: 7.5 ÷ 0.12 = ₹62.5 cr). A positive spread makes reinvestment a value engine, the exact mirror of Problem 5.

Problem 12 (guided). A flat, dependable stream pays ₹4,00,000/yr; your hurdle is 12%. (a) The most you can pay and still meet the hurdle? (b) At an asking price of ₹40,00,000, the implied yield? (c) At ₹25,00,000? (d) Which prices clear the hurdle?

Solution. (a) 4,00,000 ÷ 0.12 = ₹33.3 lakh. (b) 4,00,000 ÷ 40,00,000 = 10%. (c) 4,00,000 ÷ 25,00,000 = 16%. (d) Only the ₹25 lakh price clears (16% ≥ 12%); at ₹40 lakh the 10% yield fails unless the stream grows dependably. The business did not change between (b) and (c). Only the price changed, and therefore only what must be true to justify it.

Problem 13. Tag each observation with the single five-questions number it most informs: (a) gross margin has held above 40% for twelve years despite three new entrants; (b) the statutory auditor resigned two weeks before results, citing "information delays"; (c) the only manufacturing plant sits in a flood-prone district; (d) after a 30% price fall, managers bought ₹50 crore of stock with their own money; (e) the stock trades at 5× earnings while peers trade at 18×; (f) 70% of profit depends on a subsidy the government renews each year; (g) customers would need ~18 months to requalify a competing supplier; (h) at today's price, a buyer needs 20%/yr cash-flow growth for twelve years just to break even.

Solution. (a) Q2: a durable spread is the fingerprint of a moat. (b) Q3: an auditor exit is a first-order honesty signal. (c) Q4: single-point physical fragility. (d) Q3: insider buying with personal money is alignment made visible. (e) Q5: a low multiple is an implied expectation (here, of decline), to be tested rather than trusted. (f) Q4: renewal and policy dependence is an existential risk (it colours Q1 too). (g) Q2: switching costs are a moat source. (h) Q5: the price's baked-in future, stated explicitly. Every fact you will ever read about a company files under one of the five headings.

Problem 14. Two synthetic firms, hurdle 10%. Nadi Ltd: ₹800 crore invested at 14% ROIC. Setu Ltd: ₹800 crore at 7%. Each reinvests an extra ₹200 crore at its own ROIC. (a) Each firm's NOPAT before the reinvestment? (b) The added economic profit per year from the ₹200 crore? (c) Capitalized at the hurdle, the value created or destroyed by that ₹200 crore? (d) Both grew capital 25% — which grower is richer, and why?

Solution. (a) Nadi 14% × 800 = ₹112 cr; Setu 7% × 800 = ₹56 cr. (b) Nadi (14 − 10)% × 200 = +₹8 cr/yr; Setu (7 − 10)% × 200 = −₹6 cr/yr. (c) Nadi: 8 ÷ 0.10 = +₹80 cr created; Setu: −6 ÷ 0.10 = −₹60 cr destroyed. (d) Nadi. Identical 25% capital growth made its owners ₹80 cr richer and Setu's ₹60 cr poorer. Growth is a multiplier on the sign of the spread, nothing more.

Problem 15. Sundaram Auto (synthetic): 8 crore shares, ₹320 crore net profit, pays out 40% as dividends and reinvests the rest at a 16% ROIC (hurdle 12%). You own 5,000 shares. (a) EPS? (b) Your look-through share of this year's profit? (c) Dividend per share and the cash you receive? (d) Your retained-on-your-behalf amount? (e) Was the retention good for you, and by how much value per rupee retained?

Solution. (a) EPS = 320 ÷ 8 = ₹40. (b) 5,000 × 40 = ₹2,00,000, and the business earned this for you, distributed or not. (c) DPS = 40% × 40 = ₹16 → cash = 5,000 × 16 = ₹80,000. (d) Retained per share = ₹24 → your share = 5,000 × 24 = ₹1,20,000. (e) Yes: each ₹1 reinvested at 16% throws off ₹0.16/yr → worth 0.16 ÷ 0.12 ≈ ₹1.33 → +₹0.33 of value per ₹1 retained, so your ₹1,20,000 became ≈ ₹1,60,000 of value, a ~₹40,000 gift from good capital allocation you never saw as cash.

Problem 16 (timed, 12 minutes, all six parts). (i) Define economic profit in one line. (ii) NOPAT $72m, invested capital $480m → ROIC? (iii) After-tax margin 4%, capital turnover 4.5× → ROIC? (iv) Invested capital ₹600 cr, ROIC 9%, hurdle 13% → economic profit (with sign)? (v) A flat ₹5,40,000/yr stream is priced at ₹36,00,000: implied yield, and does it clear a 12% hurdle? (vi) A firm reinvests heavily at an ROIC exactly equal to its 11% hurdle. What happens to value?

Solution. (i) Economic profit = (ROIC − hurdle) × invested capital, the value created or destroyed after charging for the capital used. (ii) 72 ÷ 480 = 15%. (iii) 4% × 4.5 = 18%. (iv) (9 − 13)% × 600 = −₹24 cr/yr. (v) 5,40,000 ÷ 36,00,000 = 15% → yes, clears 12%. (vi) Nothing: at ROIC = hurdle, growth is value-neutral, and each rupee reinvested returns exactly one rupee of value. Scoring: 6/6 in time = fluent; ≤4 = redo worked examples 1 and 5 and Problems 4–5, 11 before the mastery check.

Applied mini-project

First contact: DMart and Costco, from the actual filings. (~1.5 hours. Familiarization, meaning extraction and description rather than judgment. The full guided read of an annual report comes later this phase, and Phase 1 makes every line meaningful.)

1. Pull the two documents (both free). Costco: SEC EDGAR (sec.gov/edgar → company search) → "Costco Wholesale" (ticker COST) → filing type 10-K → latest. Find the Consolidated Statements of Income (Item 8). DMart: dmartindia.com → Investor Relations → Annual Reports (or the NSE/BSE company pages) → latest annual report → the Consolidated Statement of Profit and Loss (use consolidated, not standalone, and note in your journal that you noticed there are two; the difference gets explained when consolidation arrives).
2. Extract by hand into a one-page table per company: total revenue (Costco: net sales and membership fees separately), net profit ("Net income" / "Profit for the year"), and shares outstanding (Costco: cover page or equity note, ~440–445m; DMart: equity note, ~65 crore — verify against the filing).
3. Compute: net margin and profit per share for each. Compare your margins to the illustrative ~4.5–5% and ~2.9% used above. Small differences are expected and instructive, so note the actual numbers and the filing year.
4. Write question 1 in your own words, one paragraph per company: what it does, who pays, why the customer chooses it, where the profit actually comes from. For Costco, compute this year's membership fees as a fraction of operating income.
5. Write your curiosity ledger: three specific things you noticed and three specific things you don't yet understand. ("What is 'deferred membership fees'?" is a perfect example, and the accounting phase answers it.) Date it and file it, in a plain folder until the toolkit installs the knowledge system. These six lines seed your first permanent notes.

Scoring rubric (self-graded; pass ≥ 9/12):

Case Lab: run case CL-0.1 (The Two Lemonade Stands of Jodhpur) in the app's Cases tab: two tiny businesses with the same profit but different capital, walked through all five questions end to end.

Reading & resources

Do the two "this week" items. The rest are queued deliberately, so resist reading ahead of the tools you'll be given.

• Zerodha Varsity, Module 1, "Introduction to Stock Markets," chapters 1–3 (zerodha.com/varsity) [Free] [Beginner]. This week. The why-markets-exist story in Indian terms; later chapters overlap with the capital-markets module, where they are assigned.
• **Mike Piper, Accounting Made Simple, chapters 1–2** [Paid] [Beginner]. This week; buy the book now, since it is the Phase 0–1 reading spine. The accounting equation and the statements at bird's-eye level, which is exactly enough to make the guided annual-report read comfortable.
• Warren Buffett, "An Owner's Manual" (berkshirehathaway.com, Governance section) [Free] [Beginner]. The owner-related business principles, and the partial-ownership frame from the person who has used it best. ~30 minutes.
• **Benjamin Graham, The Intelligent Investor (Zweig-annotated edition), chapter 8 only** [Paid] [Beginner→Intermediate]. Mr. Market in the original. The full book is Phase 6's spine; chapter 8 belongs to week 1 of your life as an analyst.
• Ray Dalio, "How the Economic Machine Works" (economicprinciples.org, 30-min video) [Free] [Beginner]. Watch once for orientation; Phase 7 rebuilds it with rigor and its critiques.
• Aswath Damodaran, "Valuation in Four Lessons" (Talks at Google, YouTube, ~60 min) [Free] [Beginner→Intermediate]. Optional, and a masterclass in the price-versus-value distinction Phase 3 operationalizes.
• Primary filings for the mini-project: Costco's latest 10-K via SEC EDGAR (sec.gov/edgar); Avenue Supermarts' latest annual report via dmartindia.com → Investor Relations or BSE/NSE [Free] [Beginner]. Your first primary sources; from this week on they outrank every summary.
• Charlie Munger, "A Lesson on Elementary, Worldly Wisdom" (1994 USC speech), free online, including in the Stripe Press edition of Poor Charlie's Almanack (press.stripe.com) [Free] [Intermediate]. Optional inspiration now; studied properly in Phase 6.
• **Going deeper. Michael Mauboussin, *What Does a Price-to-Earnings Multiple Mean?*** (Morgan Stanley / Counterpoint Global, free PDF) [Free] [Intermediate]. Unpacks question 5: what a multiple actually encodes about expected growth and returns. Optional now; natural just before Phase 3.
• Going deeper. Aswath Damodaran, ROIC & cost-of-capital data by industry (pages.stern.nyu.edu → "Data") [Free] [Intermediate]. Real cross-sector ROIC and hurdle numbers to calibrate the ROIC-versus-hurdle intuition against how actual industries earn.

The Modern Analyst's Addendum

Everything above teaches this skill from first principles, by hand. That is how you learn it, and the mastery check still tests it that way. This addendum shows how a working analyst amplifies the same skill today. It adds; it never replaces. (R1/R10)

AI-Augment this skill

``ai-augment-json { "skill": "The five questions as a filing system for everything you will ever learn about a company, the price-versus-value distinction, ROIC against a hurdle rate, economic profit, margin × turns, and capitalizing a flat stream forwards and backwards", "use": "This is week one, so the honest uses are narrow and the boundary matters more than the technique. Learn the boundary here and it protects you for seventy-nine more weeks. (1) SORTING, not answering. The five questions are a classification scheme, and Problems 8 and 13 are exactly that drill. Paste ten facts about a company and ask which of the five each one informs, then grade the machine against your own sort and argue with every disagreement — the arguments are where the taxonomy gets into your hands. (2) VOCABULARY. 'What does invested capital mean?', 'explain the difference between a fixed claim and a residual claim' — these are questions about language, which is what a language model is actually made of, and §4.2's debt-versus-equity distinction survives being explained four different ways. (3) THE QUESTION-4 PRE-MORTEM. Ask what could kill a business and you get a candidate list to go verify in the filings; you never get a finding. (4) TURNING A CLAIM INTO AN ARITHMETIC CHECK. 'Write me the formula that turns margin and capital turnover into ROIC, and the turnover a 4.75% margin needs to clear a 12% hurdle' is safe and checkable in one line. Under all four sits one line you can state in a sentence and apply in a second: a question about the METHOD is safe; a question about the COMPANY is not.", "tools": ["Chat assistants — Claude, ChatGPT, Gemini — for sorting facts into the five questions, for vocabulary, and for the question-4 pre-mortem", "Your spreadsheet or notebook (M0.04 installs both) — for every number, including the ones a chat window offers to compute for you", "The primary filings themselves — DMart's annual report via NSE/BSE or the investor-relations page, Costco's 10-K via SEC EDGAR — which is where the mini-project already sends you"], "prompt": "Here are ten facts about a company: <PASTE>. For each one, tell me which of these five questions it primarily informs — (1) what does it do and how does it make money, (2) is it a good business with ROIC durably above its cost of capital, (3) is it run by good, honest, aligned people who allocate capital well, (4) what can kill it, (5) what is the price implying — and give me one sentence of reasoning per fact. Where a fact plausibly belongs to two, say which two and which is the centre of gravity. Do not tell me whether the company is good, do not estimate any figure I have not given you, and do not add facts of your own.", "verify": "Two disciplines, and the first is absolute. NO NUMBER. §4.6 of M0.04 states the ban as policy; here is the mechanism behind it. A language model produces the most plausible continuation, not the true one, so a request for DMart's revenue returns a correctly-shaped number that may be a year stale, on the standalone basis when you needed consolidated, or simply invented — and it reads exactly like knowledge, which is what makes it worse than a blank. Two cases are worse still and both live in this module: small and mid-cap Indian companies are thinly represented in any training corpus, and anything published after the model's training cutoff cannot be known at all. Second discipline: run the sort BEFORE you look at the answer, for the same reason §4.5 puts question 5 last. A machine's confident classification becomes your anchor if you read it first, and the whole value of the exercise is that you had to decide.", "diy": "The gate is unaided. You state the five questions verbatim and in order; you compute ROIC as profit over invested capital and again as margin × turnover; you compute economic profit with its sign and say what the sign means; you capitalize a flat stream forwards (cash ÷ required return) and backwards (implied yield = cash ÷ price); and you explain why a faster grower can be worth less. Nothing in this callout is admissible in that room, and nothing in it is needed there." } ``

Modern Data Analysis

By hand first. You computed Steady Ltd against Busy Ltd, GroceryMart against Aurum Jewels, the fate of one retained rupee at three different returns, and the leverage ladder, one arithmetic line at a time, on paper. Keep that. The arithmetic is four operations deep, and an analyst who needs a machine for it will not catch a machine's mistake.

Today's workflow. The change is not speed; at this scale there is no speed to gain. It is that the master idea stops being two cases and becomes a surface you can look at. Write the value rule as one function of (ROIC, hurdle, capital, reinvestment) and evaluate it on a grid rather than on an example, and three things appear that a worked example cannot show. The sign change at ROIC = hurdle becomes a visible boundary running through the whole grid rather than the moral of one story. The break-even turnover curve, the turns a given margin needs to clear the hurdle, turns "high margin is not the same as good business" from an assertion into a line you can put DMart and Aurum Jewels on either side of. And the answer's sensitivity to the hurdle becomes measurable, which matters more than it looks: the hurdle is the one input here you are not yet equipped to estimate.

Tools & sources (IN + US). numpy for the grid and pandas for the cross-section, plotted with matplotlib. India: screener.in company pages for the ROCE trend and the ten-year profit-and-loss block, the NSE and BSE corporate-filings archives for the DMart annual report the mini-project already has you download, and the RBI's Current Rates panel plus the 10-year G-sec yield (rbi.org.in, and the DBIE portal at data.rbi.org.in) for the risk-free leg that Phase 3 builds the hurdle on top of. US: SEC EDGAR for Costco's 10-K and the companyfacts API for a decade of the operating-profit and capital lines in machine-readable form, FRED series DGS10 and FEDFUNDS for the same risk-free leg in dollars, and Damodaran's "Return on Capital by Industry Sector" and "Cost of Capital by Industry Sector" tables at pages.stern.nyu.edu (refreshed each January) for the against-what: the sector median that tells you whether a 20% return is remarkable or ordinary in that industry.

``python # The master idea as one function, not two cases — recomputed in-session (R3) import numpy as np val = lambda roic, k: roic / k # value of Re 1 retained, capitalised at the hurdle created = lambda roic, k, reinv: (roic - k) / k * reinv # value created BY that reinvestment print(f"{val(.20,.12)*100:.1f} {val(.09,.12)*100:.1f}", # 166.7 75.0 <- worked example 5 f"{created(.18,.12,500):+.1f} {created(.08,.12,500):+.1f}") # +250.0 -166.7 <- worked example 2 # the same 50% growth, opposite signs; and the faster grower CAN be worth less: print(f"{created(.18,.12,250):+.1f} vs {created(.08,.12,500):+.1f}") # +125.0 vs -166.7 roic = np.array([.08, .10, .15, .18, .20]) # the whole surface, one line print(np.round(np.outer(roic, 1/np.array([.09,.12,.14])), 3)) m = np.array([.025, .0475, .05, .10, .15]) # turns needed to clear a 12% hurdle print(np.round(.12 / m, 2)) # 4.80 2.53 2.40 1.20 0.80 ``

Verify. Prove the engine against the worked figures above before it goes anywhere near a real company, and do it in the order they were built. Worked example 5: ₹100 retained at a 20% ROIC becomes ₹166.7 of value and at 9% becomes ₹75.0, exactly value-neutral at 12%. Worked example 2: reinvesting ₹500 crore at 18% against a 12% hurdle creates ₹250.0 crore and at 8% destroys ₹166.7 crore, with both firms growing profit 50%. Worked example 3: GroceryMart's 5% margin times 4× turns is a 20% ROIC and +₹8 of economic profit, Aurum's 10% times 1× is 10% and −₹2. Worked example 6: the same $500m machine returns 12% on equity unlevered and 17% with $200m of 6% debt, and the gap collapses to one point at $40m of pre-tax operating profit. Problem 9's common-size walk lands at ₹5.0 and $2.8 per hundred. Worked example 1's pharmacy is ₹14,28,571 at 7%, ₹8,00,000 at 12.5%, a 6.25% implied yield at ₹16 lakh, and ₹14,00,000 once 5% growth is added. If your function reproduces all of those, it has understood the value rule; if it misses one, fix the function and never the lesson.

Quantitative lens

Three results the lesson poses and cannot settle on paper. All of them are exact. No simulation runs here, and there is nothing to be uncertain about except the inputs, which is itself the point of the first finding.

The number you cannot yet compute matters more than the one you can. Value per rupee retained is ROIC ÷ hurdle, so the two partial derivatives are 1/k and −ROIC/k², and their ratio is exactly ROIC/k, the value multiple itself. At the Indian settings used here, a 20% ROIC against a 12% hurdle, one percentage point of extra ROIC adds 0.083 of value per rupee retained while one percentage point of extra hurdle removes 0.139: the hurdle is 1.67 times as powerful, per point, as the return everyone argues about. At US settings, 20% against 9%, it is 2.22 times.

Put the stated hurdle ranges through it and the size shows. The same 20% business turns a retained rupee into ₹1.667 at a 12% Indian hurdle and ₹1.429 at 14%, a 14.3% swing from a 2-point range, and in the US the 8-to-10% range is a 20.0% swing. This is the argument for Phase 3 stated in advance. WACC gets a module of its own not because the number is intellectually interesting but because it is the highest-leverage input in the whole chain and the one an analyst is most tempted to wave at. Until then, "hurdle" is a placeholder carrying more weight than it looks.

Margin and turns are exactly equally important, and this is provable rather than arguable. ROIC = margin × turns is multiplicative, so the elasticity of ROIC with respect to each is precisely 1, verified numerically above at 1.000000 both ways. A one percent relative improvement in margin and a one percent relative improvement in turnover produce the identical improvement in return on capital. What differs is the cushion, and the cushion is what the eye reads wrongly. Against a 12% hurdle, a 4.75% margin needs 2.53× turns and a 10% margin needs 1.20×; DMart runs eleven to fourteen inventory turns against a 2.53 requirement, while Aurum Jewels runs 1.0 against a 1.20 requirement and fails. The fat-margin business is the one in danger. "High margin equals good business" is not a rough heuristic that sometimes misfires; it is a claim about half of a product, and the half it ignores has equal weight.

Growth is a multiplier on a sign, and the sign is the only thing that changes the answer's direction. created = (ROIC − k)/k × reinvestment is linear in the amount reinvested and changes sign only at ROIC = k. Which means the master idea is arithmetic and not rhetoric: Steady reinvesting ₹250 crore at 18% creates ₹125.0 crore while Busy reinvesting twice as much at 8% destroys ₹166.7 crore. Twice the growth, opposite direction. No amount of reinvestment converts a negative spread into value, and no amount of restraint converts a positive one into destruction.

Honest limits, and they are large enough that the three results above are best read as statements about the model, not about any company. The function holds ROIC constant when reinvestment is added, which no real business does. The marginal return on the next rupee is almost always lower than the average return on the rupees already inside, and the whole of Phase 4 exists because the interesting question is how long a spread survives being attacked. It holds the hurdle constant when a business levers up, which the numeracy bootcamp and the later risk-and-return work will both tell you is false. It capitalizes a flat perpetual stream, the simplest object in valuation and the first thing the valuation phase complicates. And it says nothing whatsoever about whether a given company's reported ROIC is real: the numerator and denominator are both accounting constructions that Phase 1 teaches you to build and Phase 2 teaches you to distrust. The engine is a way of seeing the shape of the value rule, and the shape is genuinely all it shows.

Do it in code: write the function, evaluate it on a grid rather than a case, put the six worked examples in as tests, and re-run the hurdle sensitivity with the range you would actually defend rather than the 12% handed to you here. Then go and get the real ROIC from a filing, which is the part no function does for you.

Where this goes next: galaxy cross-links

• Failure modes, verification and the primary-source guardrail (AI0.06, the crown of the AI branch). The full version of the boundary this addendum draws in one sentence: which questions a language model can be trusted with, which it cannot, and the verification routine that sits between them.
• How modern AI actually works (AI0.01). Why "plausible, not true" is a description of the mechanism rather than a complaint about it, and therefore why the number ban is structural and not a matter of the tool getting better.
• Probability, distributions, sampling and estimation (QM1.01). A hurdle rate is an estimate with a distribution around it, not a constant. This is where "12%" acquires an interval, and where you learn what an interval obliges you to do.
• Issue trees and MECE (CN1.01). The five questions are a decomposition, and this is the discipline that says when a decomposition is exhaustive, when it overlaps, and how to build one for a problem nobody has handed you five questions for.
• pandas I, data wrangling (DA1.02). One company's ROIC is an anecdote; the same calculation across a sector, joined to a benchmark table, is evidence. This is where the second becomes a routine.

Flashcards

This module's flashcards and mastery quiz are wired into the app: see the node's Quiz and Reviews.

Mastery check

Closed book, pen and paper. Pass threshold: ≥85%. Each form has 12 items worth 1 point each (half-credit allowed on short answers), so pass = 10.5/12 or better. Passing either form plus having taken the placement diagnostic completes this week's work and unlocks how capital markets work. If you miss: note every missed item, restudy only those sections, wait at least two days, then take the other form (parallel difficulty; keep it clean for the retake).

Form A

A1. Ownership claims trade on exchanges primarily because: (a) companies need the daily trading revenue (b) liquidity, the ability to exit anytime, makes investors willing to commit capital to long-lived projects at all, and at lower required returns (c) regulators require price discovery (d) shares would otherwise expire

A2. (Short answer) Write the five questions, in order, from memory.

A3. "Take today's share price and solve for the growth the market must be assuming" is an exercise in answering question: (a) 1 (b) 2 (c) 4 (d) 5

A4. (Numeric) After-tax operating profit ₹36 crore; invested capital ₹240 crore. ROIC = ___%.

A5. A firm earns 9% ROIC against a 12% hurdle and reinvests aggressively to grow revenue 20%/yr. Its owners' value is most likely: (a) rising fast (b) rising slowly (c) falling — growth is scaling a negative spread (d) unaffected by growth

A6. (Numeric) Invested capital ₹500 crore; ROIC 18%; hurdle 12%. Economic profit = ₹___ crore/yr.

A7. Grocer: 4% margin, 5× capital turns. Boutique: 12% margin, 1× turns. Hurdle 12%. Which creates value? (a) boutique only (b) grocer only (c) both (d) neither

A8. (Short answer) Costco sells merchandise at roughly an 11% gross margin, far below typical retail, yet is a famously good business. Where does most of its operating profit come from, and what does this teach about question 1?

A9. DMart's ~4.5–5% net margin is best understood as: (a) a weakness competitors will exploit (b) a deliberate strategy — low prices drive footfall and inventory turns, compounding into ~20% returns on capital (c) evidence groceries are a bad industry (d) an accounting artifact

A10. (Numeric) A stable shop yields ₹3,00,000/yr; it is offered to you for ₹25,00,000. Implied yield = ___%.

A11. Limited liability means: (a) the company's debts are capped (b) a shareholder's maximum loss is what they paid for the shares (c) managers aren't liable for fraud (d) losses are tax-deductible

A12. Graham's Mr. Market metaphor instructs you to treat daily prices as: (a) the best estimate of value at all times (b) offers from a moody partner — accepted when attractive, ignored otherwise (c) random noise carrying no information (d) signals to trade quickly

Form A key. A1 (b): liquidity is the economic function, and companies receive nothing from secondary trades. A2: the questions as listed above; full credit requires all five, right order, price last. A3 (d): reverse-engineering the price is exactly "what is the price implying?" A4 36/240 = 15%. A5 (c): a negative spread × more capital = more destruction, whatever revenue does. A6 (18−12)% × 500 = ₹30 crore. A7 (b): grocer 4%×5 = 20% > 12%; boutique 12%×1 = 12% = hurdle exactly, so zero economic profit, and only the grocer creates value. A8: membership fees (~half of operating income; illustrative ~$4.8bn of ~$9.3bn). The lesson is that the visible product isn't always the profit engine, and question 1 is a numbers question. A9 (b): margin as strategy, low price → turns → ROIC. A10 3L/25L = 12%. A11 (b): the unlock that made pooling strangers' capital sane. A12 (b): price is an offer, not a verdict.

Form B

B1. From first principles, businesses exist because: (a) governments charter them (b) specialization plus exchange creates more value than self-sufficiency, and a business organizes that creation repeatably — profit measuring the value created for others (c) people prefer employment (d) capital must be invested somewhere

B2. (Short answer) State the master idea — the condition under which a business creates value, and the condition under which growth adds to that value.

B3. "The CEO's entire bonus is tied to revenue growth, with no return-on-capital test" — this observation primarily informs question: (a) 1 (b) 2 (c) 3 (d) 5

B4. (Numeric) After-tax operating profit $54m; invested capital $450m. ROIC = ___%.

B5. A company earns exactly its hurdle rate on new investment (ROIC = cost of capital) and reinvests heavily. Its growth: (a) creates substantial value (b) destroys value (c) adds roughly nothing to value — each rupee reinvested is worth about a rupee (d) can't be assessed

B6. (Numeric) Invested capital ₹300 crore; ROIC 8%; hurdle 12%. Economic profit = ₹___ crore/yr (include the sign).

B7. Firm M: 2.5% margin, 6× turns. Firm N: 10% margin, 1× turns. Hurdle 9%. Which creates value? (a) M only (b) N only (c) both (d) neither

B8. (Short answer) Walk ₹100 of DMart's sales to net profit using the illustrative common-size figures given above (suppliers → gross → store costs → depreciation → tax → net), to the nearest rupee at each step.

B9. The five questions put price (Q5) last because: (a) valuation is the least important skill (b) prices change too fast to analyze (c) seeing the price first anchors every other judgment — you'd become the market's lawyer instead of its judge (d) regulators require it

B10. (Numeric) A stable business yields $12,000/yr; asking price $150,000. Implied yield = ___%.

B11. The joint-stock company's three key consequences were: (a) pooled large capital, limited liability, separation of ownership and management (b) guaranteed dividends, tax relief, government backing (c) faster trading, lower fees, indices (d) monopoly rights, colonial charters, fixed prices

B12. You own 2,000 shares of a company with 5 crore shares outstanding and ₹250 crore of net profit. Your look-through share of this year's profit is: (a) ₹1,000 (b) ₹10,000 (c) ₹1,00,000 (d) ₹5,000

Form B key. B1 (b): surplus, specialization, exchange, with profit as the measure of value created (and the honest caveats attached to it). B2: value is created only when ROIC exceeds the cost of capital; growth adds value only insofar as the company reinvests at that positive spread (both halves required for full credit). B3 (c): incentive design is a management and alignment fact. It predicts Q2 damage, but the observation is about the people. B4 54/450 = 12%. B5 (c): at ROIC = hurdle, growth is value-neutral, a rupee in and a rupee of value out. B6 (8−12)% × 300 = −₹12 crore, sign required. B7 (c): M: 2.5%×6 = 15% > 9%; N: 10%×1 = 10% > 9%; both clear, so read the stated hurdle and don't assume 12%. B8: 100 − 85.3 → 14.7 gross; − 6.8 → 7.9; − 1.5 depreciation → 6.4; + 0.3 other → 6.7 pre-tax; − 1.7 tax → ≈ ₹5 net (accept ₹4.5–5 with consistent arithmetic). B9 (c): anchoring, and the order is a defense mechanism. B10 12,000/150,000 = 8%. B11 (a): capital pooling, limited liability, owner–manager separation, the third creating the agency problem behind Q3. B12 (c): ownership = 2,000 ÷ 5,00,00,000 = 0.004%; 0.004% × ₹250 crore = ₹1,00,000 (equivalently EPS = 250 ÷ 5 = ₹50, × 2,000 shares); the ₹10,000 distractor is the classic slipped decimal.

Teach it back & journal

Feynman prompt. Write a one-page explainer for a smart 15-year-old titled "How a company can grow bigger every year and be worth less every year." Rules: no jargon (you may use "return" and "hurdle" only after defining them with a lemonade stand); one worked number example of your own invention (not Steady/Busy); one real-world sentence about DMart or Costco. If your explainer can't survive the 15-year-old asking "but profits went UP, how is that bad?", rewrite until it can.

Journal reflection. In your journal (a plain notebook until the toolkit installs something better), write, dated: (1) why you are doing this program, in the honest three-sentence version you'd want read back to you in week 80; (2) your diagnostic score by section, your placement decision, and the rubric rule that produced it; (3) the one idea from this week that most rearranged something you thought you understood, and one place in your own life (your employer, a shop you love, your consulting work) where you can already see the ROIC-versus-hurdle logic operating; (4) the five questions and the master sentence, copied out by hand. You will write them again from memory on Sunday; the gap between the two attempts is your first spaced-repetition datapoint.

This module's flashcards and mastery quiz are wired into the app: see the node's Quiz and Reviews.