Fixed-Charge Coverage: Which Base, and Over What Period

Coverage sets earnings against the payments that fall due whether trade is good or bad, and both of those quantities are choices rather than facts. On the invented issuer here the same twelve months read 3.4000 times, 3.8772 times and 2.6000 times, all three defensible. Name the earnings, name the charges, name the period, or nobody can check the reading.

Nine amounts, five decisions: work a coverage figure here before reading why it moves

A coverage figure needs nine amounts and five decisions. Nine fields below take the amounts a person reads off a set of accounts. Five drop-downs settle the decisions, because nobody can read those off anything and somebody has to choose. The panel opens on Palash Cements Limited, an invented cement maker, at fixed-charge coverage, and every figure it prints is written out in ordinary text underneath as well.

Left exactly as it opens, the panel is the worked example the rest of this guide walks through. Earnings before interest and tax start the line at Rs 154.70 crore. The lease payment of Rs 22.75 crore goes back on top of it, so the earnings used are Rs 177.45 crore. Interest expense of Rs 45.50 crore takes the same lease alongside it, giving a charge of Rs 68.25 crore. The reading is 2.6000 times, and in whole rupees it ties exactly: 2.6000 times multiplied by Rs 68,25,00,000 is Rs 1,77,45,00,000.

The five buttons above the fields are five bases, and four of them give a different answer on the identical amounts. Gross interest coverage reads 3.4000 times. Net interest coverage reads 3.8772 times. Fixed-charge coverage reads 2.6000 times. The fourth button counts the lease among the charges and leaves it out of the earnings. That is the arithmetic fault worked through below, and it reads 2.2667 times. The fifth puts six months of earnings, Rs 77.35 crore, over a full year of charge, and reads 1.7000 times where the annual figure on the same base is 3.4000 times.

What is actually being divided here, and why does the name not settle it?

A ratio is a comparison, and a comparison is worth exactly as much as the clarity of the two things being compared. Coverage sets what a business earned against what it was obliged to hand over. The trouble is that neither of those quantities arrives with a single definition attached, and the reader cannot see which one the writer picked. Pinning both down inside the sentence is the whole of the work in this guide.

Start with the top of the fraction. The earnings figure has to be measured before the charge in question has been taken out of it. The rule sounds pedantic until the reverse is tried. A profit number that has already had the interest deducted cannot then be asked whether it covers the interest, because the interest has gone. The question would answer itself and the answer would be meaningless.

Now the bottom. Fixed charges are the payments that fall due whatever the year turns out like. Rain or drought, full order book or empty one, they arrive.

The name withholds something. The name says a charge is fixed, and it never says which ones. That single missing word is why three different people can work this ratio correctly on one set of accounts and arrive at three different numbers.

A household on one salary asks whether the salary covers the fixed costs. One person in the room means the rent. Another means the rent plus the school fee plus the loan instalment. Both are counting real obligations, both are doing the arithmetic properly, and their two answers will not match. Neither of them is wrong yet. Both become wrong at the moment one of them says a number out loud without naming the list it was struck against. From then on the listener is carrying a figure they cannot rebuild.

Which five amounts go in, and where in a set of accounts does each one sit?

Five amounts describe one year at Palash Cements Limited. Four of them are declared outright below. The fifth is not declared at all: it is worked out from two amounts already given.

Take the worked one first. It is the only place arithmetic enters before the readings begin. Palash Cements Limited has borrowingsAmounts taken from lenders that the business has agreed to hand back. of Rs 500 crore. The rate written into the instrument is 9.10 per cent for each year. Struck against Rs 500 crore across the year, that rate produces interest expense of Rs 45.50 crore. The multiplication takes one line, and a reader who can repeat it never has to take the result on trust.

A field note gives where a figure is found in a published set of accounts and stops there, saying nothing whatever about what the figure means. A note that says where to look leaves the reader free to disagree with the conclusion; a note that says what to think has already made the disagreement expensive.

The lease row is the loose one. Where a lease payment is presented decides whether a reader hunting through a set of accounts can even assemble the third reading below. Move the payment from one line to the other and the raw material changes shape, without a rupee of the underlying obligation changing at all. The standard-setter is named here; what the standard currently says is somebody else's to publish and is revised.

What does the first reading come to, written as a full sentence?

A reading written out at length can be rebuilt by a stranger. A bare figure cannot.

Earnings before interest and tax, Rs 154.70 crore for the year, divided by interest expense, Rs 45.50 crore over that same year, gross of any interest received, is 3.4000 times.

Four things are riding in that sentence, and each of them is load bearing. The top is named, so nobody has to guess which profit measure was used. The bottom is named, so nobody has to guess which payments were counted. The stretch of time is named twice, once on each half. Naming it twice is what stops the two halves being measured over different lengths. And the word gross is there, telling the reader that nothing has been set off against the charge.

Strip all four out and what remains is 3.4000 times, a number a reader can copy and cannot check.

The first reading has a settled name: gross interest coverage, written in full, and the word gross is part of the name rather than a decoration on it.

What happens to the same year when interest received comes off the charge?

Palash Cements Limited took in Rs 5.60 crore of interest during that same year. The money was lent out, or parked somewhere, and it came back as income. Some readers will want that set against the interest going out, on the reasoning that the business only truly parts with the difference.

Do it and the charge falls to Rs 39.90 crore. Earnings have not moved by a rupee. The reading becomes 3.8772 times where a moment ago it was 3.4000 times, and this second reading has its own name: net interest coverage, again written in full, again with the qualifying word treated as part of the name.

Neither reading has a mistake in it. The two readings are aimed at different questions. The first asks what the business earns against what it owes on its borrowings. The second asks what it earns against what it owes once what it is owed has been taken into account. Both questions are worth asking, and two different questions should be expected to produce two different answers.

The fault is never the choice; the fault is the silence. A figure printed with neither word attached could be either of these two, and here the two sit 0.4772 of a time apart on identical accounts. A reader handed the bare figure has no way to tell which one arrived, and no way to convert it into the other.

Netting is not a switch with two settings either. The control below is a slider for that reason. A writer might take off all of the interest received, or only the part earned on money that could actually be reached, or none at all, and the reading slides continuously between those positions.

Seven settings of that control, with the earnings column never moving and the fifth row landing on the same 3.8772 times the worked instance printed.

No rule fixes either end of that control, and neither end was observed anywhere. The point is not where the reader stops; it is that stopping anywhere at all is a decision somebody made, and the number carries no record of it.

Why does a lease have to go into the earnings as well as into the charges?

Palash Cements Limited pays Rs 22.75 crore a year under its leases. The lease payment leaves whatever the year brings, so on the definition given above it belongs among the fixed charges. Add it in, and the fixed charges come to Rs 68.25 crore: the interest at Rs 45.50 crore, with the lease of Rs 22.75 crore standing alongside it.

Now the step that gets skipped, and it gets skipped by careful people.

Earnings before interest and tax has already had the lease payment taken out of it. Deducting the lease is part of what makes it an earnings figure after operating costs. So dropping the lease into the bottom while leaving the top alone charges the business for one payment twice: once by removing it from earnings, and again by demanding that the shrunken earnings cover it. The business is being asked to pay the same Rs 22.75 crore out of two different pockets.

Put it back. Earnings for this ratio come to Rs 177.45 crore once the Rs 22.75 crore is restored to the Rs 154.70 crore. Divide Rs 177.45 crore by Rs 68.25 crore and coverage is 2.6000 times. The 2.6000 times is fixed-charge coverage, written in full, the third reading and the lowest of the three.

The rule fits in one line: anything moved into the bottom of the fraction has to be put back into the top if the top had already been reduced by it. Nothing in that rule is specific to leases. The rule applies to any charge that has already been deducted in arriving at the earnings figure.

The faulty working produces 2.2667 times. A figure close enough to 2.6000 times to look plausible and far enough away to matter is the characteristic shape of an arithmetic fault that survives review.

Three readings, one year: what does the spread between them actually consist of?

Set the three side by side. Gross interest coverage reads 3.4000 times. Net interest coverage reads 3.8772 times. Fixed-charge coverage reads 2.6000 times. Same issuer, same twelve months, same underlying set of accounts, and a spread from 2.6000 times to 3.8772 times.

Not one rupee of that spread came out of the accounts; every bit of it came out of a definition. Nothing happened at Palash Cements Limited between the first reading and the third. The writer changed which payments were counted, and what happened to the earnings figure afterwards.

Which one to reach for is settled by the question at hand rather than by a preference, and the branch has to be written down because a reader cannot see which way the writer went.

Which reading cannot be struck on this issuer, and why is the cell left empty?

A fourth base is in wide use, and a reader meets it constantly. The fourth base measures earnings before depreciation and amortisation as well, on the reasoning that those two charges are not payments and so should not be asked to stand behind payments.

The fourth reading is not struck here, and the reason is short: no depreciation or amortisation charge exists for Palash Cements Limited. The instrument above still carries a field for it, opening at Rs 0.00 crore, so a reader working their own accounts can supply the figure.

The empty cell is the honest move. When an input is missing, two moves cost the same amount of typing: writing the gap into the place the number would have gone, or reaching for a figure that looks about right. Only the first can be checked afterwards.

Supplying a believable number for a missing input invents the very quantity a reader is meant to interrogate. A reader who finds a filled cell has no way to tell a measurement from a guess. A reader who finds a named gap knows precisely where the ground ends.

How far out does a reading go when the two halves cover different lengths of time?

The base gets most of the attention. The period gets dropped far more often, and it is just as capable of wrecking the figure.

Here is the whole of it. A coverage figure belongs to a stated stretch of time, and both halves have to be measured over the same stretch. Break that and the arithmetic stays perfect while the answer goes wrong.

Take six months of earnings from Palash Cements Limited, Rs 77.35 crore, and divide it by a full year of interest expense, Rs 45.50 crore. The result is 1.7000 times, against an annual reading of 3.4000 times. Nothing in that division was miscalculated. Rs 77.35 crore really is half of Rs 154.70 crore, Rs 45.50 crore really is the interest for the year, and the division is exact.

The answer is out by exactly the ratio of the two periods, and every input behind it was correct on its own the whole time. That is what makes this the most durable arithmetic fault in coverage work. There is nothing to catch. No figure looks odd, no total fails to add, and a reviewer checking the inputs one at a time will pass all of them.

The cure is embarrassingly simple and almost never applied: write the stretch of time on both halves of the sentence, not once at the end. If the earnings are for six months, either annualise them and say so, or take six months of the charge as well.

How is one of these figures written down so a stranger can rebuild it?

One sentence carries five things, and none of them is optional: what sat on top, what sat underneath, the stretch of time both halves were measured over, the word gross or the word net, and where each input was found.

Written out, it runs like this. Earnings before interest and tax, Rs 154.70 crore for the year, divided by interest expense, Rs 45.50 crore over that same year, gross of interest received of Rs 5.60 crore, is 3.4000 times.

Consider what that hands the reader. Because the Rs 5.60 crore was on the table, somebody who thinks the netting should have been done can do it themselves and reach 3.8772 times. Somebody who thinks the leases belong in the charge can go and find them and reach 2.6000 times. Neither of them has to write to the author, wait for a reply, or take anybody's word for anything.

The sentence is not tested by whether the reader agrees with it; it is tested by whether the reader can disagree with it precisely. Agreement is cheap and settles nothing. Precise disagreement is only possible when every input is on the table, and a sentence that permits it has done its job whether or not anybody uses the permission.

What is a coverage figure silent about?

A coverage figure is one year. A coverage figure is arithmetic run on figures somebody else prepared. Set against those two facts, the list of things it does not know is long, and worth writing out plainly.

The figure has nothing to say about whether the earnings repeat. Nothing in it says when the borrowings fall due. Nothing in it says what could be sold if a payment had to be met from somewhere other than trading. And nothing in it says anything about any chance of anything, because a chance is not a quantity that turns up in a division.

The last of those bites hardest on a subject like this one. A coverage figure is completely silent on whether anything at Palash Cements Limited could actually be turned into cash to meet a charge, and the temptation when writing about coverage is to reassure the reader on exactly that point. No such reassurance is available, and the silence is not an oversight to be patched by a later sentence.

A coverage figure is an input to a judgement rather than a judgement, and a note that lets it stand as one has skipped the work it was written to do.

Who puts these three readings to work, and what do they do with them?

A lender sitting across a table from a borrower is not really asking what the coverage figure is. Because a lender intends to write a test into a loan agreement, and a test needs a definition that survives an argument two years from now, the lender is asking what the figure was struck on. A lender who accepts a coverage figure without its base has agreed to a test they cannot enforce.

An analyst comparing two borrowers has a sharper version of the same problem. If one set of accounts nets the interest received and the other does not, the two figures are not comparable and the difference between them says nothing about the two businesses. Rebuilding both on one base is most of the work, and it is why the field notes above matter more than the arithmetic does.

Somebody holding the debt reads it as a distance rather than a level. The gap between the reading and 1.00 times is how far earnings could fall before the charges stop being met out of trading, and that distance changes shape depending on which charges were counted. On this issuer the distance from 3.4000 times looks generous and the distance from 2.6000 times looks less so, and both distances are true.

And a household runs the same arithmetic every month without naming it. Somebody who quotes take home pay over rent, when the school fee and the loan instalment arrive just as surely, has told a relative something true and useless.

None of those four is told what to do next.

Palash Cements Limited is invented.
Educational material. Not advice on any investment, tax, budget or market position.