Synergy: What Is Promised, What Arrives, and the Gap

Synergy is the part of a combined result that exists only because two businesses now share an owner: cost taken out that neither could have removed alone, or revenue neither could have won alone. Everything else is ordinary improvement wearing a better name. Synergy is promised before money moves and measured afterwards, and the distance between those two figures is where most purchases are settled.

The word itself has been worn smooth by use. Synergy has become the thing people say when they need a purchase to sound sensible and have run out of other reasons. The wear is a shame. Underneath it there is a precise idea, and the precision is the whole of its usefulness. Stripped back, the word makes a single claim: two businesses under one owner produce a result that the same two businesses, standing apart, could not have produced. Not a better result. A result that was not otherwise available.

With that distinction held, almost every argument about a purchase becomes tractable. A buyer says the combined business will spend less on freight. Fine, but freight rates had softened and somebody was finally going to renegotiate. Would the combined business have spent less on freight anyway? A buyer says the combined business will sell more. Fine, but sell more to whom, and what did that customer have to agree to? Neither question is scepticism for its own sake. Both are the only questions worth asking about a purchase, and each one can be asked with numbers attached.

An everyday version is worth keeping alongside. Two brothers each run a snack stall, one outside a college gate and one outside an office block, half a kilometre apart. The brothers decide to run the two stalls as one business. Some things genuinely change. The brothers now buy oil and flour in one order instead of two, and the supplier gives a better rate for the larger order. Neither of them could have got that rate alone. One of them stops paying rent on a second storeroom because one storeroom holds both stocks. Both savings are real, and both exist only because the two stalls came together. But the brother outside the college has started counting, so he also finally stops throwing away unsold samosas at four in the afternoon. The samosa saving is real too, and it has nothing to do with the merger. He could have started counting last year. All three in the same total justifies the merger with a saving the merger did not cause.

Harivansh Packaging Limited, an invented company listed on both Indian exchanges, makes rigid and flexible packaging for food and personal care customers. The acquirer is buying 100 per cent of Sundarban Polymers Private Limited, an unlisted maker of flexible packaging films selling to some of the same customers. Devyani Kulkarni is the chief financial officer of Harivansh Packaging Limited and Ashwin Rege leads its transaction team. Every rate quoted below is one of these two entities' own contracted rates rather than a rate read off a market.

One fact about the two businesses closes off a lazy explanation, and it is worth noticing before any figure appears. Both run at a 15.0 per cent margin on revenue, measured on earnings before interest, tax, depreciation and amortisation (EBITDA). The acquirer earns EBITDAEarnings before interest, tax, depreciation and amortisation. A measure of operating profit before financing and accounting charges, used here as a common denominator rather than explained. of Rs 477 crore on revenue of Rs 3,180 crore, and the target earns Rs 132 crore on Rs 880 crore. Neither is the better operator on that measure. So the purchase cannot be explained by a good business buying a sloppy one and tidying it up. The tidying-up story is unavailable. Price, funding and structure are what is left, and they are exactly what deserved attention anyway.

What exactly is synergy, and what is the one question that settles it?

There is a definition and there is a test, and the test is worth far more than the definition. The definition: synergyValue in a combination that neither business could have produced on its own, whether by removing cost or by winning revenue. is value that arises from the combination and from nothing else. The test: take any proposed line, any saving, any extra sale, and ask one question. Could this have happened without the purchase? If the answer is yes, the line is a good thing and it is not synergy, and it is certainly not a reason to have paid more for the business.

People resist that test. The resistance is honest rather than dishonest, and it is worth understanding. Somebody has spent nine months on a transaction. Two businesses cannot be compared without examining both, so during those nine months they have looked closely at their own business for the first time in years. The team finds things. A warehouse lease nobody renegotiated, a freight contract on old terms, three overlapping software licences. All real, all worth money. And all of them found because of the transaction. Found because of a transaction feels very much like caused by one. Found and caused are not the same thing. Being noticed during a process is not the same as being created by it.

Ashwin Rege's team will produce a list. Devyani Kulkarni's job, before that list reaches a board, is to run one column down the side of it, and the column has one question at the top. Not "is this real". Almost everything on the list is real. The question is whether the purchase was necessary to it. Every line that fails goes into a separate list called things to be done anyway. The list is a perfectly good one, and nobody is allowed to use it to justify a price.

What did Harivansh Packaging actually agree to pay?

Before any synergy figure means anything, what was paid has to be known, and this is the step at which transaction figures most often go wrong in public. The announced number and the number that reaches the sellers are two different things, and they differ by a knowable amount.

Harivansh Packaging Limited agreed an enterprise valueThe value of the operating business itself, before separating who has a claim on it, lenders or holders. What it is and how it is estimated is settled in the valuation layer and used here rather than rebuilt. of Rs 1,320 crore for Sundarban Polymers Private Limited. The Rs 1,320 crore is 10.0 times the target's EBITDA of Rs 132 crore, and the arithmetic below uses that entry multipleThe ratio of what is paid for a business to a measure of its profit, here enterprise value against EBITDA. How a multiple is constructed belongs to the valuation layer. rather than rebuilding it. How such a multiple is constructed is settled under valuation.

Now the bridge, and it is one subtraction. Sundarban Polymers carries net debtBorrowings less cash. A business bought with borrowings attached delivers those borrowings to the buyer along with everything else. of Rs 180 crore, and a business is bought with its borrowings attached. Enterprise value of Rs 1,320 crore less that Rs 180 crore leaves an equity valueWhat is left for the holders of a business once the claims of its lenders are taken off. In a purchase, this is what actually reaches the sellers. of Rs 1,140 crore, and Rs 1,140 crore is the sum that actually reaches the people selling. Quoting Rs 1,320 crore as the price paid to the sellers is wrong by exactly Rs 180 crore, and it is the single most common error made about transaction figures.

Two other figures fall straight out of the bridge. Against Sundarban Polymers' net worth of Rs 320 crore, the Rs 1,140 crore paid leaves Rs 820 crore, which is where goodwillThe excess of what is paid for a business over the net worth acquired, before any of it is allocated to identifiable intangible assets. The accounting treatment belongs to the accounting layer. starts. The same Rs 820 crore can be reached the long way, from the Rs 1,320 crore enterprise value less the Rs 180 crore of net debt less the Rs 320 crore of net worth, and it is worth doing once so that the two routes agree. An allocation exercise follows, in which part of that Rs 820 crore is attached to identified intangible assets, and how that is done is an accounting question rather than a transaction one.

The funding is the second figure. Harivansh Packaging pays the Rs 1,140 crore with Rs 140 crore of its own cash and Rs 1,000 crore of new borrowing at its own contracted rate of 9.0 per cent. Its borrowings therefore move from Rs 740 crore to Rs 1,740 crore and its cash goes to nil. Interest on the new borrowing is Rs 90 crore a year, and at its effective tax rateTax charged as a proportion of profit before tax. Here it is the acquirer's own 25.0 per cent, taken from its reported ladder rather than from any rule. of 25.0 per cent that is Rs 67.5 crore after tax. Keep Rs 67.5 crore in view. Rs 67.5 crore decides the leverage arithmetic below.

Does earnings per share rise when a buyer at 12.58 times pays 10.0 times?

Everybody asks this question first, and the intuition behind it is easy to state. Harivansh Packaging Limited trades, on an illustrative share price of Rs 300/- as at the stated date, at an enterprise value of Rs 6,000 crore against EBITDA of Rs 477 crore. Rs 6,000 crore over Rs 477 crore is 12.58 times, and the acquirer is paying 10.0 times for Sundarban Polymers. Buying something cheaper than the acquirer is itself valued at sounds as though it must make each of its shares worth more.

Run it rather than reasoning about it. Harivansh Packaging earns profit after tax of Rs 225 crore. Sundarban Polymers earns Rs 61 crore, and that Rs 61 crore is a rounded figure which the next paragraph deals with properly. The new borrowing costs Rs 67.5 crore after tax. Add the first two and subtract the third and the combined business earns Rs 218.5 crore. The sellers are paid in cash rather than in shares, so the share count does not move from 18.00 crore. Earnings per share therefore goes from Rs 12.50/- to Rs 12.14/-, a dilutionA fall in a per share measure. Here it happens without any new share being created, because profit fell while the share count stood still. of 2.9 per cent.

Now the rounding, and it is load bearing, so say it out loud. Sundarban Polymers' profit after tax does not compute to Rs 61 crore exactly. Its earnings before interest and tax (EBIT) is Rs 98 crore, its finance cost on Rs 180 crore at a contracted 9.0 per cent is Rs 16.2 crore, so profit before tax is Rs 81.8 crore and at 25.0 per cent tax the answer is Rs 61.35 crore. On that exact figure the chain gives Rs 218.85 crore, earnings per share of Rs 12.16/- and a dilution of 2.7 per cent. Rs 61 crore is the value used here and in everything that follows, and it is the value that reproduces Rs 12.14/-, so anybody rebuilding the chain on Rs 61.35 crore will land at Rs 12.16/- and should not treat either figure as a mistake. The purchase is dilutive on both figures. Only the headline percentage moved.

So why did a cheap purchase dilute? Because the multiple comparison and the funding cost are two different questions, and only one of them was asked. Put both on the same base and the arithmetic becomes obvious. The earnings acquired are Rs 61 crore and they were bought for Rs 1,140 crore, a yield of 5.35 per cent. The money used to buy them costs Rs 67.5 crore after tax, and struck on that same Rs 1,140 crore that is 5.92 per cent. The spread is minus 0.57 percentage points. On Rs 1,140 crore that is minus Rs 6.50 crore, and Rs 6.50 crore over 18.00 crore shares is Rs 0.36/-. Rs 0.36/- takes Rs 12.50/- to Rs 12.14/- and reconciles exactly.

One trap inside that table is easy to fall into and does not announce itself, so it deserves naming. The after tax interest of Rs 67.5 crore struck on the Rs 1,000 crore of debt alone is 6.75 per cent. The 6.75 per cent is a perfectly true statement about the debt. The 5.35 per cent was struck on Rs 1,140 crore, so the two are not comparable. Mixing the two bases gives a shortfall of Rs 15.95 crore. Rs 15.95 crore matches nothing in the chain above and cannot be reconciled to Rs 12.14/-. Where the arithmetic has to tie, the figure to use is 5.92 per cent, with both numbers kept on the Rs 1,140 crore actually paid.

How much synergy does this purchase actually need?

The figure that follows is derived rather than assumed. Everything above establishes that the combined business is Rs 6.50 crore of profit after tax short of holding earnings per share where it was. So the question runs backwards. How much extra profit would close the gap?

Rs 6.50 crore of profit after tax, at a 25.0 per cent tax rate, needs Rs 8.67 crore of profit before tax, and if it arrives as operating improvement then it is Rs 8.67 crore of extra EBITDA. Rs 8.67 crore is the break-even synergy figure for this purchase. Rs 8.67 crore is 6.6 per cent of the target's own Rs 132 crore of EBITDA, and 1.42 per cent of the combined Rs 609 crore. Put another way, if the combination delivers Rs 8.67 crore of extra EBITDA then Harivansh Packaging did not really pay 10.0 times for Sundarban Polymers at all. The purchase was Rs 1,320 crore for Rs 140.67 crore of EBITDA, and Rs 1,320 crore over Rs 140.67 crore is 9.38 times.

Read that carefully. The figure points the other way from where most readers expect: this purchase does not need a large synergy figure, it needs a small one. A shade over one and a third per cent of combined EBITDA restores the old earnings per share. Anybody who wanted to defend this transaction has a very low bar to clear. The low bar is precisely why the interesting question is not how big the promised figure is. The interesting question is whether even Rs 8.67 crore turns up with its cost of achievement already taken off. A plan promising Rs 40 crore is not four and a half times safer than a plan promising Rs 8.67 crore; it is a plan that has to be read four and a half times more carefully.

What is the leverage after this purchase, and on which basis?

One more figure has to be nailed down first. Leverage is the most read number on any transaction announcement and the one most often left undefined. Leverage after a purchase can be measured on two honest bases, they give different answers, and a figure quoted without its basis is not a figure.

Before anything happens, there is only one business, so the two bases agree. Harivansh Packaging Limited has borrowings of Rs 740 crore and cash of Rs 140 crore, so net debt of Rs 600 crore, against EBITDA of Rs 477 crore. Rs 600 crore over Rs 477 crore is 1.26 times, and there is nothing to argue about.

Afterwards there is a choice. The consolidated basis is the standard used here, and on it the whole thing counts: Harivansh Packaging's own borrowings of Rs 1,740 crore with no cash left, plus the Rs 180 crore the target brings, assumed rather than repaid. Rs 1,920 crore against combined EBITDA of Rs 609 crore is 3.15 times. Assuming the target's borrowings is exactly why enterprise value exceeded the sum paid in the first place. On the standalone basis only the acquirer's own balance sheet counts, Rs 1,740 crore against its own Rs 477 crore, or 3.65 times.

Most readers guess wrong about which way round the two fall. The standalone figure is the higher one. Sundarban Polymers arrives carrying Rs 180 crore of net debt against Rs 132 crore of its own EBITDA, a ratio of about 1.36 times, well below the 3.65 times the acquirer is carrying alone. Consolidating a business that is less levered than the acquirer brings in proportionally more earnings than debt, so the consolidated ratio comes out lower.

The last row of that table is not a third reading of leverage. Its numerator describes one company and its denominator describes two, so it is not a reading of anything. It understates the standalone figure by 0.79 turns and it flatters the consolidated one, and it looks entirely respectable on a slide. A leverage figure stated after a purchase should name its basis in the same sentence as the number. Naming the basis removes most of the confusion that transaction arithmetic generates.

What is a Cost Saving, and why is it the half that arrives?

A cost saving is a reduction in what the combined business spends. A saving shows up as duplicated overhead removed, one site operating instead of two, one logistics contract instead of two, one set of terms with a supplier who now sells to a single buyer instead of two competing ones. In this purchase the plausible candidates would sit in overlapping freight lanes, in shared raw material buying, and in the fact that two heads of quality, two finance teams and two sets of listed company reporting obligations are not both required.

The important word in that description is not saving. The important word is combined. A cost saving qualifies as cost synergyA reduction in spending that exists only because the two businesses came together, as against a saving either could have made alone. only if it survives the one question, whether it could have happened without the purchase. The freight lane that is genuinely shorter because two networks overlap is synergy. The freight contract that was simply on stale terms is a saving, and it belongs on the other list.

Cost synergy is the half that arrives, and the reason is structural rather than a matter of anybody trying harder: it sits inside the buyer's own control. A decision to close one of two warehouses is a decision. The decision has a date, it has a person whose name is against it, and it can be checked in a month by asking whether the lease was surrendered. Nobody outside the business has to agree to any of it. Needing nobody's agreement is a very unusual position to be in. Revenue synergy is the opposite case.

Two honest qualifications keep this from becoming a slogan. First, a closure has a cost of its own, in redundancy, in moving stock, in writing off fittings, and that cost belongs on the same line as the saving rather than in a footnote. Second, cost synergy is finite. There is only so much duplication in any two businesses, and once it is gone it is gone. A revenue effect can in principle keep growing. The absence of a ceiling is exactly why revenue synergy keeps getting promised even though it so rarely turns up.

What is revenue synergy, and why does so little of it turn up?

Revenue synergyExtra sales the combination can win that neither business could have won alone, most often by selling one side's product to the other side's customers. is extra revenue the combination can win that neither could have won standing apart. The classic shape is the cross-sale: Harivansh Packaging Limited sells rigid packaging to a food customer, Sundarban Polymers sells flexible film to a different set, and the combined business offers each customer both. There are other shapes, such as reaching a geography one side already serves, or being able to bid for a contract that needs a range neither could supply alone.

All of it is plausible. Very little of it arrives, and there is one reason above all the others. A cost synergy needs a decision inside the business, and a revenue synergy needs a third party who is under no obligation whatsoever to say yes. No plan, however carefully written, and no accountability however firmly assigned, can place a customer under a duty to buy. The buyer's purchasing manager has an incumbent supplier, an approved vendor list, a qualification process, and no particular reason to reopen any of it because two of their suppliers have combined. Quite often the combination is an active reason not to: a customer who deliberately kept two suppliers to preserve a choice has just lost the choice, and their first instinct may be to find a third.

Go back to the two snack stalls. The oil bought in one order at a better rate is a cost synergy and it is done the moment the order is placed. Selling the college crowd's samosas to the office crowd is a revenue synergy, and it requires the office crowd to want samosas at eleven in the morning. Wanting a samosa at eleven is a fact about the office crowd and not about the brothers. The brothers can print a sign. The brothers cannot make anybody hungry.

There is a second thing about revenue synergy that plans routinely omit. Selling more of something costs something. Extra volume needs material, machine time, freight and often a salesperson, so a revenue synergy has to be carried down to a margin before it can be compared with a cost synergy at all. A promise of Rs 30 crore of extra sales is not a promise of Rs 30 crore of anything useful. At the 15.0 per cent margin both these businesses run at, it is a promise of about Rs 4.5 crore of EBITDA before the cost of chasing it, and the two figures are separated by a factor of nearly seven.

What is Acquisition Spend, and what does it buy that reinvestment does not?

Acquisition spend is the money a company puts into buying other businesses, as against the money it puts into the business it already runs. Harivansh Packaging Limited has just committed Rs 1,140 crore of acquisition spend. The same Rs 1,140 crore could have gone into new machines, new lines, a new plant, more working capital, a bigger sales force. Both are ways of getting larger. Buying and building are not the same purchase, and the difference is worth stating precisely because it is usually described far too vaguely.

Reinvestment buys assets at cost. A new film line costs what a film line costs, plus the time to commission it, plus the time after that to fill it with customers. During that period the money is spent and nothing is earning. Acquisition spend buys an existing position at a price. Sundarban Polymers' Rs 880 crore of revenue exists today, its customers are already buying, its plant is already running, and its Rs 132 crore of EBITDA arrives in the first year rather than the fourth.

Acquisition spend buys what reinvestment cannot, time and an existing position, and costs what reinvestment does not, a price rather than a cost. That single sentence contains the whole trade. A price includes whatever the seller could negotiate for the position they built. In this purchase that premium is the Rs 820 crore sitting above net worth. Cost includes none of that, and includes instead a delay and the risk that the customers never arrive. Neither is the better instrument. The two answer different questions, and a company that can only do one of them has a narrower set of options than it thinks.

The household version is a shop. One route is to take the empty unit next door and fit it out, cheaper per square foot and empty for a year. The other is to buy the running shop across the road from the man who is retiring, dearer than the fittings are worth and full of customers on the first morning. The premium over the fittings is what was paid for the customers not having to be found. Whether that premium was sensible depends on how long it would have taken to find them. Nobody publishes that figure, so nobody can settle it. The full comparison between building and buying is covered separately.

What is an Exchange Ratio, and why does this purchase not have one?

An exchange ratio is the number of the buyer's shares handed over for each share of the seller's, and it exists when the considerationWhat the buyer actually hands over: cash, its own shares, deferred amounts, or a combination. The form of the consideration is a separate question from the amount. is paid in shares rather than in cash. If Harivansh Packaging Limited had settled this purchase by issuing new shares to the holders of Sundarban Polymers Private Limited, somebody would have had to agree how many Harivansh Packaging shares each Sundarban Polymers share was worth, and that number would have been the exchange ratio.

The purchase is settled entirely in cash, so it has no exchange ratio anywhere in it. An exchange ratio is a feature of one kind of consideration. An exchange ratio is not a universal part of a purchase, and a reader who has absorbed the phrase without absorbing that condition will go looking for a ratio in every transaction and be puzzled when most of them do not have one.

The absence has a consequence that has been quietly doing work throughout this guide. Because nothing was paid in shares, Harivansh Packaging's share count stays at 18.00 crore. An unchanged share count is why the accretion test divided by 18.00 crore both before and after, and why the entire fall from Rs 12.50/- to Rs 12.14/- came out of the numerator rather than the denominator. Every rupee of dilution here is a profit effect. In a share settled purchase the denominator would have moved too, and the two effects would have had to be separated before either could be read. Where an exchange ratio sits against a purchase price, and how the two relate, is covered separately.

What goes into a Synergy Plan, and what do most plans leave out?

A synergy plan is the document that turns a claim into something a business can be held to. The plan is a list of lines, and every line has five parts: what changes, who is accountable for it, when it lands, what it is worth, and what it costs to achieve. A line carrying four of those five is not a shorter line; it is not a line at all, and it should be sent back.

The part that goes missing is almost always the fifth, and the reason is human rather than devious. The person proposing the line is usually the person who will have to deliver it, and the value is the attractive half of what they are proposing while the cost to achieveWhat has to be spent to obtain a saving: redundancy, relocation, systems work, professional fees, write-offs. It belongs on the same line as the saving, not in a separate schedule. is the half that makes their proposal look smaller. So the value goes on the summary slide and the cost of achieving goes into a schedule two slides further back, where it is netted off a total that is never the total anybody quotes.

A plan that states a gross figure in one place and a net figure in another is two plans sharing a cover, and the larger figure is always the one that gets repeated. There is a simple structural fix and it costs nothing: put the value and the cost of achieving in adjacent columns on the same row, so that no line can be read without both. If a total has to be quoted, quote the net one, and if somebody wants the gross figure they can add the column back themselves.

The plan also needs one more thing that is not a column: the date it was fixed. A plan that keeps being revised is not a plan; it is a running commentary. The plan that counts is the plan as it stood before completion, and it should be kept unaltered so the review in a year's time has something to argue with. The document that then tracks each promised line through to a delivered one is a different artefact with a different purpose, and it is covered separately.

What is Synergy Realisation, and why must the baseline be fixed first?

Synergy realisation is what was actually delivered, measured against a baseline agreed before completion. Two of those words carry the whole idea. Actually means observed rather than projected. Baseline means a stated position that everybody signed up to at a stated moment.

A baseline is a photograph of the combined cost base and revenue base as they stood on the day before the businesses came together, written down in enough detail to be argued with a year later. The baseline has to record what was being spent on freight, on warehousing, on overheads, and what each customer was buying, at that moment. Not approximately. Specifically, at a level of line item detail that somebody can go back to.

Realisation is only measurable if the baseline was fixed in advance. After completion every number has moved for a dozen reasons at once, and there is nothing left to measure against. A year later, freight cost has changed because rates changed, volumes changed, one lane was dropped and a new customer was added. Trying to work out at that point what would have been spent had the businesses stayed apart is not measurement. Working it out afterwards is reconstruction, and reconstruction can be made to produce whatever answer the reconstructor needs.

A household that wants to know whether cutting out a subscription saved money has to know what it was spending before, for the same reason. Asked in December how much has been saved on subscriptions since March, with the March position never written down, the honest answer is that it cannot be said. A figure can be produced. A produced figure cannot be defended. An undefendable figure takes up the place where a real one would have gone, and is worse than none at all.

Synergy Plan vs Synergy Realisation: why do the two figures differ?

The gap between a promise and a delivery is the hinge of the whole subject, so state the situation exactly. There are two numbers describing the same thing. The two were produced at different times, by different people, under different pressures, and they do not agree. The temptation is to treat the gap as evidence of something, and it usually is, but not of what people first reach for.

Three ordinary reasons separate a promise from a delivery, and not one of them requires anybody to have lied. The first: the plan counted things that would have happened anyway. Half a dozen lines that could have happened without the purchase were left in, and they were delivered, and they were delivered by people who would have delivered them without any purchase at all. Lines like those were never synergy, so the delivery never had anything to prove.

The second: the cost of achieving was netted in one place and not the other. The plan quoted a gross figure because the cost of achieving sat in a schedule at the back. The review quoted a net figure because by then the costs had actually been paid and were sitting in the accounts where nobody could push them into a schedule. Two figures, one gross and one net, compared as though they were on the same basis. The gross against net comparison is almost mechanical, and it produces a shortfall every single time it happens.

The third: the baseline moved. Somebody refreshed it, or it was never fixed, or a reorganisation meant the line items no longer mapped onto each other. So the comparison is being made against a different starting position from the one the promise was made against.

All three are failures of construction rather than failures of character, so the fix is a document standard rather than a conversation about honesty. That matters practically: a board that reads a shortfall as dishonesty will interrogate the wrong people and change nothing, while a board that reads it as a construction fault will ask to see the baseline, ask which lines survive the question, and ask where the cost of achieving is booked. The second board finds out what happened.

How to frame an Acquisition Rationale: what are the five steps?

Everything above can be gathered into a short procedure. An acquisition rationale is the argument that a purchase makes sense, and the difference between a rationale and a story is whether anybody can check it afterwards. Five steps, in order, and the order matters because each one needs the previous one to be settled.

One: name what changes under new ownership. Not what improves. Name the changes specifically, and name only the changes that survive the test of whether they needed the purchase. Two: put a figure on it, at the EBITDA line, with revenue effects already carried down to a margin. Three: put a figure on what it costs to achieve, on the same row. Four: set the net figure against what the money costs, on the same base as the money was spent. Step four is the one taken above, where 5.35 per cent was set against 5.92 per cent on Rs 1,140 crore, and the combination came out Rs 6.50 crore short and needing Rs 8.67 crore of EBITDA to close it.

Five: state what would show the argument was wrong. The fifth step turns an argument into something checkable, and almost every rationale omits it. Stating what would falsify the argument is the only step that can be used against the person writing it. It reads like a sentence: if the two overlapping freight lanes have not been consolidated within a year, or if the combined freight cost has not fallen against the baseline recorded on the completion date, then this part of the argument was wrong. Written before completion, that sentence is worth more than every slide in front of it.

A rationale built this way survives contact with a review. The review has something to test rather than a mood to agree or disagree with. The full treatment of the rationale as a document, including how it is presented and who has to sign it, is covered separately. The shape is what matters.

What does a Case Study select for, and what does that hide?

A case study is a written account of one purchase, put together after the event and used to teach. A case study is genuinely useful, and it has a bias built into it that is worth naming before another one is read.

A case study selects for a clear story with a clean ending, so the purchases that would teach the most are precisely the ones nobody writes up. Written accounts gather at the two ends. At one end sit the loud failures, where something went visibly wrong and there is a lesson with a shape to it. At the other sit the famous successes, where a combination did something obvious in retrospect and everybody wants to explain why. In the middle sits the ordinary purchase: it delivered some of what was promised, missed the rest, cost more to integrate than expected, and left the business modestly better off. The ordinary purchase is almost never written down, and the ordinary purchase is what most purchases look like.

So a reader who learns purchases from case studies learns from a set assembled by whether the outcome made a good story. Two habits protect against it. The first is to ask, of any account, what would have had to happen for it to be written up at all, and to read the answer as part of the evidence. The second is to prefer the purchase at hand to the purchase in the book. Harivansh Packaging Limited's arithmetic is set out in full and every step of it can be rebuilt. A rebuildable purchase teaches more than a famous transaction whose figures would have to be taken on trust.

How does a lender, an analyst or a holder read a synergy number?

Three readers, three different first questions, and none of them is the question the transaction team was answering. Watching how each one uses the same figure is the fastest way to see what a synergy number is actually for.

The lender who put up the Rs 1,000 crore reads it as a repayment question, and reads it sceptically by construction. Their exposure is fixed at Rs 1,000 crore whatever happens to the synergy, so an upside case does them no good and a downside case does them real harm. The lender will therefore test the leverage without any synergy at all, the 3.15 times consolidated, and ask whether it can be serviced from Rs 609 crore of EBITDA as it stands. Any synergy that turns up is a margin of comfort rather than part of the case. A lender who has to believe a synergy plan to be repaid has generally lent too much.

The analyst reads it as a bridge between two forecasts. The analyst already had Harivansh Packaging Limited at Rs 12.50/- and now needs a combined figure, so the analyst runs the same chain set out above, lands at Rs 12.14/- before any synergy, and then treats the synergy figure as an explicit, separately stated add. The useful discipline in that habit is that the synergy sits on its own line rather than dissolving into an operating forecast, so a year later it can be checked against what actually arrived. A synergy figure blended into a general growth assumption has been hidden, whether or not anybody meant to hide it.

The holder already on the register reads it as a question about what the money bought. Rs 1,140 crore left the company and Rs 0.36/- of earnings per share left with it, so the honest question is what else that Rs 1,140 crore might have done. The Rs 1,140 crore could have gone into new lines. The same money could have reduced borrowings, or been distributed. None of those alternatives has a published figure attached, and that is exactly why nobody can settle the argument from the outside.

The household version of all three is one house and three people looking at it. The bank asks whether the salary covers the instalment if nothing improves. The valuer asks what it is worth against comparable houses. The person moving in asks what they gave up to buy it: the deposit that would otherwise have started a business. Same house, three questions, and only the last one is about whether it was a good idea. Only the last one has no published answer.

Why do the figures not settle whether the purchase was worth doing?

Because the two halves of that question are not equally knowable, and pretending otherwise is the most common failure in writing about transactions. Every figure computed above can be rebuilt by anybody with the inputs. The bridge to Rs 1,140 crore, the Rs 820 crore above net worth, the Rs 67.5 crore of after tax interest, the fall to Rs 12.14/-, the Rs 8.67 crore break-even and the 3.15 times consolidated leverage are all arithmetic, and arithmetic can be checked and disputed on its own terms.

The merit is a different kind of thing. Merit depends on what the Rs 1,140 crore would otherwise have done and on what the combined business goes on to achieve, and no published figure contains either. The alternative use of the money is a road not taken, and roads not taken have no results. Whatever the combination achieves has not happened yet. So a verdict on whether Harivansh Packaging Limited was right to buy Sundarban Polymers Private Limited would be doing something other than reading the figures, and would invite a view to be mistaken for a calculation.

The list that remains is better than a verdict, and it travels: what was paid and to whom, what it was funded with, what that funding costs on the same base as what it bought, how much the combination has to deliver before the old earnings per share is restored, and what has to be written down before anybody can honestly say whether it was delivered. Every one of those questions fits any purchase, not just this invented one.