Minority Interest in Valuation: Bridging Group to Equity Value

A minority interest names the share of a controlled subsidiary held by investors who sit outside the group. Sankalp Industrial Systems Limited, invented, brings all of Sankalp Coatings Private Limited into its accounts while holding 75.0 per cent of it, so Rs 60,00,00,000 of balance sheet and Rs 6,00,00,000 of yearly profit belong elsewhere and leave on the way to equity value.

Underneath that sits a mismatch that consolidationBringing every line of a controlled company's accounts into the parent's own at full value, with the size of the holding making no difference to what gets added. creates on purpose. A group brings one hundred per cent of a controlled subsidiary's revenue, earnings before interest, tax, depreciation and amortisation (EBITDA)Operating profit counted before depreciation and amortisation are charged against it, used here because it sits close to what a year of operations throws off., assets and cash flows into its own statements. A group controls all of a subsidiary it consolidates. A group does not hold all of it. Every valuation built on a consolidated figure therefore values cash flow that is partly somebody else's, and the minority interest line is the one correction that repairs it. The line is not caution and it is not optional. Leave it out and the group's shareholders have been credited with a quarter of a subsidiary they never held.

Why does a minority interest exist at all?

The clearest version of this sits away from the accounts entirely. Suppose two cousins put money into a tiffin kitchen. One puts in three quarters, the other puts in the last quarter, and every decision about the menu, the staff and the rent belongs to the first. When somebody asks how much food the kitchen sends out each day, she answers for the whole kitchen. The whole kitchen is what she runs, so the whole kitchen is the honest answer. The answer is also, quietly, an overstatement of what she is entitled to. A quarter of every rupee that kitchen earns is her cousin's.

Accounting reaches the same two facts by two different tests, and holding those two tests apart is what the minority interest line is for. Control decides what comes into the group accounts; the size of the holding decides how much of what came in actually belongs to the group. Because those are separate tests, they routinely give separate answers, and a minority interest is simply the arithmetic that records the gap between them.

Sankalp Industrial Systems Limited holds 75.0 per cent of Sankalp Coatings Private Limited, invented, and controls it outright. So the coatings business is consolidated: its revenue is inside the group's revenue, its EBITDA is inside the group's EBITDA, its plant is inside the group's plant, and its cash flows are inside the cash flows any model of the group would forecast. Not three quarters of each. All of each. There is no version of the consolidated statements in which a quarter of the subsidiary's revenue is missing.

The group also has a second outside holding, and it behaves in the opposite way. Aruna Tooling Private Limited, invented, is 26.0 per cent held. A 26.0 per cent holding is enough to sit at the table and not enough to decide anything, so the tooling business is not consolidated at all. None of its revenue, none of its EBITDA and none of its plant appears in the group's lines. Aruna Tooling gets one line of its own instead, under a treatment called equity accountingA much lighter treatment: no revenue, no costs and no assets are added in, and a single line tracks the holder's share of what the investee is carrying.. Aruna Tooling comes back where a subsidiary and an associate are set against each other. Readers who have met a minority interest tend to expect an associateA holding that buys influence over how a business is run without buying the deciding vote, which is precisely why its accounts stay outside the group's. to work the same way, and an associate does not.

What is the Rs 60,00,00,000 actually made of?

A figure that cannot be taken apart is a figure that cannot be checked, so this one comes apart. The record locks two things about the coatings business: the group does not hold 25.0 per cent of it, and the minority interest standing in the group balance sheet at the base year is Rs 60,00,00,000. The minority interest line is that quarter measured on the subsidiary's own net assets, so those two facts together give what the whole of the coatings business is carrying.

If a quarter is Rs 60,00,00,000, the whole is four times that. Sankalp Coatings Private Limited is carrying net assets of Rs 2,40,00,00,000 in the group accounts, of which Rs 1,80,00,00,000 answers to the group's own shareholders and Rs 60,00,00,000 answers to somebody else. That second figure is not an estimate, an allowance or a cushion. The Rs 60,00,00,000 is a slice of a number already sitting in the statements, cut at a percentage already fixed by who holds what.

Two things are worth saying about the Rs 2,40,00,00,000. The Rs 2,40,00,00,000 is implied rather than printed. The record locks the Rs 60,00,00,000 and the 25.0 per cent, and the subsidiary's own net assets follow from them. The Rs 2,40,00,00,000 is also a base year figure for one subsidiary, not a general fact about anything.

Where does the same holder appear in the profit and loss account?

The balance sheet is only half of it. The same outside holder has a claim on the year's earnings too, and that claim shows up as a second line in a completely different statement, with a completely different size. Readers meet the two figures side by side, assume one must be derivable from the other, and then hunt for the relationship. There is not one to find.

Work the base year for Sankalp Industrial Systems Limited from the top. Five rows carry operating profit down to a consolidated bottom line, and each row is either a starting point or one deduction.

Row 5 is the whole group counted together. Rows 1 to 5 never asked who holds what, so every rupee the coatings business earned in the year is sitting inside row 5, the outside quarter included.

So a further line comes off. Rs 6,00,00,000 of that profit is attributable to the outside holder in Sankalp Coatings Private Limited, and Rs 1,38,00,00,000 is left for the owners of the parent. Spread across 20,00,00,000 shares, that is Rs 6.90 of earnings for each one. The outside quarter has already been taken out of the Rs 1,38,00,00,000, so every earnings figure a reader is likely to quote for this group is that figure and not the Rs 1,44,00,00,000.

Now look at the two lines together. Rs 60,00,00,000 on the balance sheet against Rs 6,00,00,000 in the year's earnings statement, the second being exactly one tenth of the first. The one tenth is not a rule, a convention or a coincidence worth remembering. The ratio is simply what the coatings business happened to earn in one year set against what it happened to be carrying. The same subsidiary with a poor year would show a smaller profit line against an unchanged balance sheet line.

The same quarter also implies the subsidiary's own profit. If Rs 6,00,00,000 is a quarter of it, Sankalp Coatings Private Limited earned Rs 24,00,00,000 after tax in the base year, of which Rs 18,00,00,000 belongs to the group. Both figures are implied by the locked quarter rather than printed on their own, and both belong to that one subsidiary in that one year.

Why is the line taken out rather than added in?

Here is the moment the two statements above become one piece of arithmetic. A discounted cash flow on this group forecasts consolidated cash flows, discounts them at 12.00 per cent, the figure this group takes for its weighted average cost of capitalOne rate standing in for what every provider of money expects between them, applied when future cash is restated in today's terms., and lands on an enterprise valueThe worth of the trading operation itself, measured before a single claimant on it has been settled. of Rs 21,28,13,79,094 for the operating business. Every rupee inside that number was forecast on consolidated figures, so a quarter of everything the coatings subsidiary contributes is in there, and it is not the group's.

The correction is one line, with one sign, for one reason. The minority interest is taken out because the cash flows that produced the enterprise value already contain the outside holder's quarter, and equity value is supposed to be what the parent's shareholders have. Four movements separate the two figures in total. Cash goes in. So do the holdings that earned none of the forecast EBITDA. The whole of the borrowings comes off, and so does the minority interest. Only the fourth of those is walked here. The other three movements, the reason the cash goes in gross, and the awkward items, among them a lease, a shortfall on pensions, options granted to staff and an instrument that converts, are all covered separately.

Put the locked figures through it and six rows finish the job.

Spread row 6 over 20,00,00,000 shares and it comes to Rs 84.41 each.

The same four movements are what stand between the two headline figures anybody quotes for a deal on this company, and the total gets misjudged badly often enough to be worth setting out in full. Going the other way, from an equity figure up to an enterprise figure, every sign flips: the borrowings and the minority interest go in, the cash and the outside assets come out.

Four rows of movement, a fifth row of total, and the gap on this company is Rs 4,40,00,00,000. Measured against base year EBITDA of Rs 2,88,00,00,000 that is 1.53 turns. The minority interest is Rs 60,00,00,000 of it, being 13.64 per cent of the gap and about a fifth of a turn on its own. Two notes on the arithmetic, both of which matter more than the figures. The first two rows are often collapsed into a single net borrowing figure of Rs 4,80,00,00,000. The collapse is the same arithmetic with one row fewer. And the 1.53 is Rs 4,40,00,00,000 set over Rs 2,88,00,00,000, with the rounding held back until the very last step. Take one already rounded multiple away from another and 1.52 appears instead. The 1.52 is an artefact of rounding twice rather than a different gap.

There is an unpleasant footnote to that Rs 90.41. Two entirely different mistakes land on it. Reversing the sign of the minority interest gives it, and so does the far more common error of deducting borrowings net of cash while still adding the cash back in a separate line. The unaffected share price of this invented company is Rs 90.00. The wrong answer lands 41 paise from the traded price and the correct one lands Rs 5.59 away. Landing close to a traded price therefore proves nothing whatever about how a walk was assembled. Check the structure of the walk, line by line and sign by sign, and let the traded price be whatever it is.

Is the Rs 60,00,00,000 a book figure or a fair value?

Whether that Rs 60,00,00,000 is a book figure or a fair value is the next real question, and the honest answer takes a moment to set out. The Rs 60,00,00,000 is a carrying amount: it is the outside holder's share of the subsidiary's net assets exactly as those assets already sit in the accounts, at whatever they were recorded at. The carrying amount is not what anybody would pay for that quarter, and the accounts claim no more for it than that.

A fair value would be a different object. A fair value would be 25.0 per cent of what Sankalp Coatings Private Limited is actually worth, and reaching it means valuing the coatings business in its own right. Two inputs would be needed and neither is a group input. Its own cash flows sit inside the consolidated forecast rather than beside it. Its own discount rate is lower than the group's. Because the coatings business is a lower risk operation than the group as a whole, the record puts that rate at 11.25 per cent against the group's own 12.00 per cent. Applying the parent's 12.00 per cent to a quieter subsidiary would understate what that subsidiary is worth. The two rates differ for precisely that reason.

No standalone valuation of the coatings business exists anywhere in this record. With none available, the Rs 60,00,00,000 carrying amount is the figure used, labelled as a carrying amount every time it appears, and the one useful thing that remains is to show how much the choice would have been worth if it could have been made.

One wrinkle in this record looks like an inconsistency until it is named. The associate holding does not sit at its carrying amount. Aruna Tooling Private Limited is carried in the group's accounts at Rs 22,00,00,000 under equity accounting, and it enters the walk at Rs 55,00,00,000, being what that holding is worth in its own right. So one outside item is marked to its own value and another is left at a book figure.

The asymmetry between the two outside holdings is not sloppiness, and it is not a principle either. The asymmetry is an availability problem. A value for the 26.0 per cent associate holding exists in this record and a value for the outside quarter of the coatings subsidiary does not, so one line can be stated at value and the other cannot. The discipline is to say which basis each line is on rather than to pretend the whole walk sits on one. A reader who is handed a walk with no basis stated for any line has been handed an answer without its assumptions.

How much is that choice actually worth?

Arguments about a line are worth having in proportion to what the line can move. So before deciding whether to fight about a carrying amount, find out what the entire defensible range of answers is worth, and let the size of that decide how much attention the question earns.

The way to do that without inventing a valuation is to hold everything else still and walk the minority line across a range expressed as a multiple of its carrying amount. At one times, the line is the Rs 60,00,00,000 the accounts already carry. At two times the line is Rs 1,20,00,00,000. Two times is not a number pulled from the air. Two times is the ratio at which this group's own equity trades against its own book value, and no closer anchor exists in this record. Anything a reasonable person would argue for sits between those two.

Read the ladder rather than the extremes. Every 0.05 of the multiple adds Rs 3,00,00,000 to the deduction and takes fifteen paise off the share; every 0.25 adds Rs 15,00,00,000 and takes seventy five paise. The entire range of defensible treatments of this one line is worth Rs 3.00 a share, being 3.55 per cent of Rs 84.41. Rs 3.00 a share is the number that decides how much argument the question deserves on this company, and it is smaller than most readers expect and larger than the readers who expect nothing.

The Rs 3.00 measures how much the treatment of the line can move an answer. The Rs 3.00 is not a claim that the minority is worth one and a half times its book amount, or twice it, or anything else. No valuation of that outside quarter exists in this record, so the range sizes a choice rather than settling it.

What happens to the line when control changes hands?

Everything above treats the group as it stands. A transaction does something more definite with the line, and it is the cleanest illustration of what a carrying amount means in practice. In the buyout of Sankalp Industrial Systems Limited by Sthira Capital Partners, invented, the sponsor buys the shares and buys out the outside holder in the coatings subsidiary at the same time. The uses of funds are numbered, and use 3 is the minority.

Read use 3 slowly. The outside holder receives Rs 60,00,00,000 and nothing above it, exactly the carrying amount already on the balance sheet. The minority takes no premium at all, in precisely the same way that use 2 repays the existing borrowings at their carrying amount rather than bidding for them. That is not a detail about one line in one deal. The absence of a premium on that use is the reason a single offer produces two different premium figures, one for each base the offer can be measured against.

On the separate indicative offer this record locks for the same company, the offer is Rs 115.00 a share against an unaffected Rs 90.00. The gap between those two figures is a control premiumThe extra a buyer hands over above a traded price for the right to run the business rather than to watch somebody else run it. of 27.78 per cent measured on the share price. Measured on enterprise value the same offer carries 22.32 per cent. Each figure is right, and neither one substitutes for the other. The wedge between them exists because the borrowings and the minority interest ride along at their carrying amounts, so the same rupees of premium are spread over a larger base. A reader handed a premium without being told which base it was quoted on cannot compare it with any other premium. How that comparison is drawn, and what the two bases do to a set of deals, is covered separately.

Why does an associate move the other way?

Now come back to Aruna Tooling Private Limited. The contrast between the two outside holdings finishes the idea. Both are outside holdings. Both appear on the walk that runs from an enterprise value down to an equity value. One comes off and the other goes on, and size is not the reason, nor is quality.

The sign follows one question only: did that business ever get into the forecast EBITDA? Sankalp Coatings Private Limited is consolidated, so all of its EBITDA reached the forecast and the outside quarter of it has to come back out. Aruna Tooling Private Limited is equity accounted, so none of its revenue and none of its EBITDA ever reached the forecast, its value was never inside the enterprise value at all, and it has to be added in separately or it is simply missing.

The two treatments work like two rooms. Consolidation puts the whole of one room's furniture on the inventory, and a quarter of it is then handed back. Equity accounting never puts the other room's furniture on the list at all, so counting it means walking over and adding it. Nothing about the two rooms differs except which list they were written on.

Is a Minority Discount the same thing as this?

A Minority Discount is not the same thing, and the two are confused so reliably that the confusion is worth taking apart on its own. The two share a word and share nothing else. Both halves of the mistake sound correct alone, so the mistake survives review.

A minority interest is a rupee amount on a balance sheet: the slice of a consolidated subsidiary carried for holders the parent does not answer to, Rs 60,00,00,000 here, deducted once because the cash flows being valued already contain it. A Minority Discount is a percentage adjustment applied to the value of a stake that carries no control, and it belongs to a different calculation with a different purpose. One is a claim by another holder on cash flows already counted; the other is a statement about what a particular stake can and cannot make happen.

How a lender, an analyst and a buyer each read this one line

The line does different work for different readers. Notice that, and it stops being a bookkeeping curiosity and starts being a tool.

A lender reads it as a question about where the cash actually is. A consolidated EBITDA of Rs 2,88,00,00,000 looks like one pool of cash available to service the parent's borrowings. The pool is smaller than it looks. Part of that EBITDA is earned inside a subsidiary in which somebody else holds a quarter, and cash sitting in a subsidiary reaches the parent only by a route somebody has to agree. A lender to the parent therefore wants to know which entity earns what, and how much of the group's headline profit is even reachable from the entity that signed the loan. The minority interest line is the first flag that the group is not one pocket.

An analyst reads it as a compulsory step, and the one most often forgotten under time pressure. The pattern that causes the damage is quick and reasonable looking: take consolidated EBITDA, apply a peer multiple, subtract net borrowings, divide by shares, publish. On this company that route skips the Rs 60,00,00,000 and lands three rupees a share too high, and the error is invisible in the output because the output looks exactly like a correct one. The check takes a moment: read the balance sheet for a minority interest line before dividing anything by a share count.

A buyer reads it as a cheque that must be written. Whoever takes control of this group has to settle the outside holder in the coatings subsidiary, and that settlement is a use of funds like any other, sized here at Rs 60,00,00,000 out of total uses of Rs 27,20,00,00,000. The settlement has to be funded on day one alongside the shares and the borrowings, and a funding plan that omits it is short by that amount.

And an ordinary reader of a results announcement can use it as a small honesty test. When a group reports profit, ask which profit: the consolidated Rs 1,44,00,00,000, or the Rs 1,38,00,00,000 that is actually attributable to the parent's own shareholders. On this invented company the two differ by Rs 6,00,00,000, a little over four per cent of the smaller figure. On a group with several part held subsidiaries the gap can be much wider, and the earnings per share that everybody quotes is built on the second number, never the first.