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Payout and Return of Capital: Dividends Plus Buybacks in One Ratio

A payout ratio divides what left the company for its shareholders by what the company earned for them. Give it profit attributable to owners, the dividend per share, the share count and any buyback, and four figures come back: the rupees distributed, the dividend payout ratio, the total payout ratio, and the yield. On Year 0 the last two read 52.17 and 4.00 per cent.

Two decisions sit under those four figures, and neither is a convention that can be looked up. The first is which profit line goes underneath. The second is what counts as having left the company. Decide either one wrongly and the arithmetic is still flawless while the answer is useless. The two decisions therefore deserve most of the room, and the division itself very little.

Every rupee below belongs to Sankalp Industrial Systems Limited, an invented manufacturer of industrial valves and precision castings, and to its five locked years of distribution history. Its five rows carry the three cases that keep turning up: a dividend that creeps upward, one year with a share buyback in it, and one year with an extra one-off payment on top. Between them those three produce every argument a payout ratio can start.

What goes in, and which profit line belongs underneath?

The shape is identical in a household and the words are easier, so start there. A salary of Rs 80,000 arrives in a month. Rs 30,000 goes out to the people the household supports: a parent in another town, a sibling in college. The rest stays, funds the fridge that finally has to be replaced, and cushions the month the scooter needs a gearbox. If somebody asks what share of the month went out, the answer is Rs 30,000 over Rs 80,000, and it is 37.50 per cent.

The household complicates in exactly the way a consolidated company is complicated. Suppose Rs 80,000 is not one salary but the pooled earnings of two brothers who run a shop together, and one of them holds only a quarter of it. The pooled figure is real and the shop earned it. The junior brother's quarter was never the household's to send, so the household cannot send it to the parent in another town. Dividing the Rs 30,000 by the pooled Rs 80,000 describes a household nobody lives in.

The junior brother's quarter is the whole of the denominator argument, and a consolidated company runs the same argument at scale. Sankalp Industrial Systems Limited holds 75.0 per cent of Sankalp Coatings Private Limited and fully consolidatesEvery rupee of a subsidiary's revenue, cost and profit is added into the parent's statements line by line, whatever slice of it the parent actually holds. it, so every rupee the subsidiary earns arrives in the group's profit after taxBottom line of the profit and loss account for the whole consolidated group, struck before anyone has asked whose it is.. At Year 0 that consolidated line is Rs 1,44,00,00,000. Sitting immediately beneath it is a deduction for minority interestOutside shareholders hold the rest of a part-held subsidiary. Their slice of its profit is stripped out before the group reports what belongs to its own shareholders. of Rs 6,00,00,000, and what remains, Rs 1,38,00,00,000, is profit attributable to owners.

Rs 6,00,00,000 is exactly one twenty-fourth of the consolidated figure. The minority deduction is small enough to look like a rounding line and large enough to move a payout ratio by more than two points, and that combination is what makes it dangerous. The rule that comes out of it is short: the denominator is the profit the parent's shareholders could in principle have been paid, and no rupee that belongs to somebody else can be in it.

The numerator has its own version of the same question, and it is the harder one. Cash leaves a company for its shareholders through two doors. Through the first it goes to everyone who holds a share, in proportion, as a dividend. Through the second the company buys its own shares back, and the cash goes to the people who chose to sell. Both doors move cash from the company to shareholders. Watching only the first door means that one particular year, whose true total came to Rs 1,05,65,00,000, gets reported at the dividend alone, namely Rs 45,65,00,000.

The two ratios, written out
$$ \text{Dividend payout ratio} = \frac{D \times N}{P} \qquad \text{Total payout ratio} = \frac{D \times N + B}{P} $$
Ddividend declared per share for the year, regular and special added together, in rupees and paise
Nnumber of shares the dividend was paid on, read off the share capital note
Brupees spent buying the company's own shares back during the year, read off the cash flow statement under financing
Pprofit attributable to owners, read off the consolidated profit and loss account below the minority line
What it says in wordsBoth ratios share a denominator and differ only in what may go into the numerator. The second one lets the buyback in. Every disagreement between the two ratios is a consequence of that one difference.
FOUR INPUTS, ONE HELD CONSTANT, FOUR OUTPUTS Values shown are Year 0 of Sankalp Industrial Systems Limited, invented Dividend per share Rs 3.60 x Number of shares 20,00,00,000 = Rupees distributed Rs 72,00,00,000 Rupees distributed Rs 72,00,00,000 / Profit attributable to owners Rs 1,38,00,00,000 = Dividend payout ratio 52.17 per cent Distributed, plus any buyback rupees Rs 72,00,00,000 / Profit attributable to owners Rs 1,38,00,00,000 = Total payout ratio 52.17 per cent Dividend per share Rs 3.60 / Share price, held constant, not an input Rs 90.00 = Dividend yield 4.00 per cent Green fill marks cash on its way out. Dark green marks the profit line it is measured against. The dashed box is held constant, not entered by the reader.
Four rows, four outputs: the dividend per share and the share count produce the rupees, the rupees over profit attributable to owners produce the two ratios, and only the share price produces the yield.
Try it out

Which profit figure belongs in the denominator of a payout ratio, and why?

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Output one: how many rupees actually walked out?

The first output is not a ratio at all, and skipping it is how people end up defending a percentage they cannot reconstruct. Rupees distributed is the dividend per share multiplied by the number of shares it was paid on. The Year 0 declaration by Sankalp Industrial Systems Limited ran to Rs 2.60 a share as the regular dividend, then Rs 1.00 a share as a special dividendDeclared once, described as one-off when it is declared, and carrying no promise at all about what next year will bring., on 20,00,00,000 shares. Rs 3.60 times 20,00,00,000 is Rs 72,00,00,000, of which Rs 52,00,00,000 arose from the regular declaration and Rs 20,00,00,000 the special.

The share count is the input people take least seriously and it moves. Two years earlier this company had 20,75,00,000 shares. Closing year minus 2, it retired 75,00,000 of them at Rs 80.00 apiece. The retirement cost Rs 60,00,00,000 and left 20,00,00,000 shares standing. Any calculation that carries last year's share count into this year's dividend is out by the whole of the difference, and here that difference is 3.75 per cent of the count.

RUPEES DISTRIBUTED IS A MULTIPLICATION, AND BOTH FACTORS MOVE Sankalp Industrial Systems Limited, invented. Both bars on one scale. Year 0: Rs 3.60 a share on 20,00,00,000 shares Rs 72,00,00,000 in all Regular Rs 52,00,00,000 Special Rs 20,00,00,000 Year minus 2: Rs 2.20 a share on 20,75,00,000 shares Rs 45,65,00,000 The share count fell by 75,00,000 between these two bars
Year 0 distributed Rs 72,00,00,000 on a smaller share count than year minus 2 distributed Rs 45,65,00,000 on, so neither factor in the multiplication can be assumed to be steady.
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Output two: what share of the year did shareholders get?

The rupees distributed divided by profit attributable to owners give the dividend payout ratio. Setting the Year 0 distribution of Rs 72,00,00,000 over Rs 1,38,00,00,000 of profit, the quotient prints as 52.17 per cent. The ratio reads the way the household reads: of every hundred rupees the company earned for its own shareholders in Year 0, a little over fifty two went straight back to them, and the rest stayed inside.

Profit that stays inside becomes retained earningsProfit kept inside a business rather than handed out sits here, and it funds tomorrow's machines, stock and wages without anyone being asked for new money.. A rupee of profit is either handed over or it is not, so the payout ratio and the retention ratio always add to one. Whether a given split is the right split is a question about strategy, covered separately. The ratio measures the split and does not judge it.

The same symmetry set against the household is the cheapest sanity check available. Of every hundred rupees the salary brought in, thirty went to the people the household supports and seventy stayed. Nobody needs a second calculation to know the seventy: it is whatever the thirty was not. The same is true here. A dividend payout ratio of 52.17 per cent is a retention ratio of 47.83 per cent stated the other way round, and if the two figures under examination do not add to a hundred then one of them was computed on a different denominator from the other. The add-to-a-hundred check has caught more denominator mismatches than any amount of care over the arithmetic.

One warning about reading the ratio backwards. A payout ratio is not a statement about cash in the bank. Profit is an accounting figure and the dividend is a cash payment, and a company can perfectly well declare a payout ratio of 52.17 per cent in a year when its cash balance fell. The ratio compares a payment with an accounting result. The comparison is useful, and it still does not answer whether the payment was affordable out of the year's own cash.

Output three: what changes once the second door is counted?

Everything so far has watched one door. Year minus 2 is the year the second door opened. Profit attributable to owners was Rs 1,16,20,00,000. The dividend was Rs 2.20 a share on 20,75,00,000 shares, or Rs 45,65,00,000. On its own that is a dividend payout ratio of 39.29 per cent, sitting comfortably alongside the 37.50 and 38.46 per cent of the two years before it.

Then, at the end of that same year, the company spent Rs 60,00,00,000 buying 75,00,000 of its own shares at Rs 80.00. The buyback cash went to shareholders. The money reached a subset of them rather than all of them in proportion, and it went out under a different heading in the cash flow statement, but it left the company and it arrived with holders of the company's shares. Add it to the numerator and year minus 2 stops being an unremarkable year: Rs 1,05,65,00,000 against Rs 1,16,20,00,000 is a total payout ratio of 90.92 per cent.

YEAR MINUS 2: WHAT THE SECOND DOOR ADDS TO THE NUMERATOR Sankalp Industrial Systems Limited, invented. Bar heights are to scale against the year's profit. Profit attributable to owners, Rs 1,16,20,00,000 Rs 45,65,00,000 Dividend paid 39.29 per cent Rs 60,00,00,000 Shares bought back added to the numerator Rs 1,05,65,00,000 Returned in all 90.92 per cent Lime marks the buyback wherever it appears on this guide. Between the closing bar and the dashed line sits what stayed in: Rs 10,55,00,000 of that year's profit.
Adding the buyback lifts year minus 2 from Rs 45,65,00,000 to Rs 1,05,65,00,000 against unchanged profit, which is why the same year reads 39.29 per cent through one door and 90.92 per cent through both.
Try it out

Year minus 2: profit attributable to owners Rs 1,16,20,00,000, dividend Rs 45,65,00,000, buyback Rs 60,00,00,000. What is the total payout ratio?

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Output four: why does the yield swap the denominator?

The fourth output looks like the others and is built on a different foundation. A dividend yield divides the dividend per share by the share price. At Rs 90.00 a share, the Year 0 total dividend of Rs 3.60 gives exactly 4.00 per cent, and the regular dividend of Rs 2.60 on its own gives 2.89 per cent.

Notice what just happened to the denominator: profit left and price arrived. A payout ratio asks what the company gave away out of what it earned, so both halves come off the company's own accounts. A yield asks what a share pays against what a share costs, so half of it comes from the accounts and half from the market. Two figures that both end in per cent and look alike in print are answering questions with different subjects.

The two yields on this company differ by more than a point, and the difference is entirely the special dividend. Any yield built on Rs 3.60 is a yield built partly on a payment the company described as one-off when it declared it. A difference of that size is not a reason to prefer either yield, but a reason to name which of the two is in use in the same sentence that quotes it.

Try it out

The calculator's fourth output divides the dividend by something that is not profit. What is it?

Try it out

Across five years the company earned Rs 5,87,70,00,000 for its own shareholders. Before the table: roughly what share of it went back to them once the buyback is counted?

What do five years of one company look like, row by row?

Here is the whole history in one table. Every figure in it was produced by the arithmetic above, and the two right-hand columns are identical in four rows out of five.

YearProfit to ownersPer shareSharesDistributedBuybackDividend payoutTotal payout
minus 4Rs 99,60,00,000Rs 1.8020,75,00,000Rs 37,35,00,000none37.50%37.50%
minus 3Rs 1,07,90,00,000Rs 2.0020,75,00,000Rs 41,50,00,000none38.46%38.46%
minus 2Rs 1,16,20,00,000Rs 2.2020,75,00,000Rs 45,65,00,000Rs 60,00,00,00039.29%90.92%
minus 1Rs 1,26,00,00,000Rs 2.4020,00,00,000Rs 48,00,00,000none38.10%38.10%
0Rs 1,38,00,00,000Rs 3.6020,00,00,000Rs 72,00,00,000none52.17%52.17%
Five yearsRs 5,87,70,00,000Rs 2,44,50,00,000Rs 60,00,00,00041.60%51.81%

Two rows deserve a second look. Year minus 2 is the one already worked through: the two ratios separate by 51.64 points because a buyback sat in one numerator and not the other. Year 0 is the quieter one: both ratios read 52.17 per cent, no buyback is involved at all, and the jump from 38.10 to 52.17 comes entirely from the Rs 1.00 special dividend. The same company therefore produces two very different looking spikes for two entirely different reasons, and only reading the numerator settles which is which.

FOUR YEARS THE PAIR AGREES, ONE YEAR IT DOES NOT Dividend payout ratio Total payout ratio, buyback included Invented company, five locked years 100 50 0 37.50 37.50 Year minus 4 38.46 38.46 Year minus 3 39.29 90.92 Year minus 2 38.10 38.10 Year minus 1 52.17 52.17 Year 0 Vertical scale is per cent of profit attributable to owners. Year 0 rises on both bars together, because a special dividend lifts both numerators.
The dividend payout bars sit inside a 1.79 point range for four years and then step up in Year 0, while the total payout bar for year minus 2 alone reaches 90.92 per cent.
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What does the whole calculation look like on a quiet year?

Year minus 1 is the row with nothing unusual in it: no buyback, no special payment, no change in the share count during the year. Year minus 1 is therefore the right row to work through by hand, and working one row by hand turns a table into something that can be defended in a meeting.

Collect the four inputs and hold every one of them in whole rupees. Profit attributable to owners is Rs 1,26,00,00,000. The dividend per share is Rs 2.40, all of it regular. The share count is 20,00,00,000, already reduced by the retirement that happened at the close of the year before. Buyback rupees for the year: none at all.

Output one is the multiplication and nothing more: Rs 2.40 on 20,00,00,000 shares is Rs 48,00,00,000. Output two divides that by the profit: Rs 48,00,00,000 over Rs 1,26,00,00,000 comes to 0.380952 and a fraction, printed as 38.10 per cent. Nothing was bought back, so output three adds nothing to the numerator, and the same division prints the same 38.10 per cent. Whenever the buyback input is zero the third output collapses onto the second. Four of the five rows in the table therefore carry identical figures in their last two columns.

Output four is the one that cannot be finished, and the reason is worth more than the answer would have been. A yield needs a share price, and the only price locked for this company is the Rs 90.00 at Year 0. Nothing in a set of accounts supplies a price for year minus 1. Three of the four outputs are built entirely out of the company's own statements; the fourth needs a figure that lives outside them. Where that figure is not available, the honest move is to leave the output blank rather than to borrow a price from a different year and quote the result as though it belonged.

The same walk on year minus 3 takes about twenty seconds. Profit attributable to owners Rs 1,07,90,00,000. Rs 2.00 a share on 20,75,00,000 shares gives Rs 41,50,00,000. The division gives 38.46 per cent, with no buyback to add, so the total payout ratio is the same 38.46. The retirement had not happened yet, so the share count in that year is the larger one. A reader who reached for the current 20,00,00,000 would have computed Rs 40,00,00,000 of dividend and reported 37.07 per cent. The share count belongs to the year, not to the reader's most recent memory of it.

Reading an Annual Report Fast teaches you to get to the three things that matter in a two hundred page document.

What does the run look like when it is drawn instead?

Step back from the individual figures and look at the outline. Practitioners draw payout as a line before they quote it as a number: a line makes the difference between a drift and an event visible in about a second, and a table does not.

The dividend line is close to flat with one step at the far end; the total line is the same flat run with a single tower rising out of the middle of it. Those two shapes carry different information. A gentle drift upward in the dividend line is a series of separate decisions, each one small, each one taken in a different year. A tower is one decision, taken once, that happens to be enormous. Averaging the two shapes together would describe a company that has never existed.

A FLAT RUN WITH ONE STEP, AND A FLAT RUN WITH ONE TOWER 100 50 0 The tower: one buyback, 90.92 per cent The step: one special dividend, 52.17 per cent minus 4 minus 3 minus 2 minus 1 Year 0 The thick lime path is total payout; the thin dark green path is dividend payout. Where only lime shows, the two are equal and the green path sits beneath it.
Drawn as paths, the dividend series is a near flat run that steps up once at the end, while the total payout series carries a single tower in the middle where the buyback sits.
Try it out

Across the five rows, which single year most deserves to be set aside before describing how this company pays its regular dividend?

Try it out

Before the five years are stepped through, one answer is worth committing to: in which of them should the two ratios be expected to disagree?

Play with it

Step the year and watch the two bars

One control, five settings. Everything else is fixed: the denominator is always profit attributable to owners, and the buyback is counted in the year it was executed. Click a year or drag the slider, and the highlighted row in the table above moves with it.

EARLIESTYear 0BASE YEAR
TWO RATIOS, ONE YEAR AT A TIME YEAR 0 All of the year's profit attributable to owners 50 100 0 52.17 52.17 Dividend payout ratio Total payout ratio the buyback The two bars are level Green is dividend cash. Lime is the buyback, drawn on top of the dividend it is added to.
Profit to owners, held
Rs 1,38,00,00,000
Rupees distributed
Rs 72,00,00,000
Dividend payout ratio
52.17%
Total payout ratio
52.17%

Placeholder, replaced on load.

Educational illustration. Profit attributable to owners is the denominator in all five settings. The buyback is charged to the year it was executed, a choice rather than a rule. Ratios are shown to two decimals and the rupee amounts behind them are exact.

Add the five years up: is that the average of the five ratios?

Now ask a different question. Not what happened in a year, but what happened across the run. Foot the distributed column of the table and the five dividends come to Rs 2,44,50,00,000. Foot the profit column and it reaches Rs 5,87,70,00,000. One division on those two totals gives a five year dividend payout of 41.60 per cent. Set the single buyback of Rs 60,00,00,000 on top of the numerator, lifting it to Rs 3,04,50,00,000, and the five year total payout reads 51.81 per cent against the identical denominator.

The aggregate 41.60 per cent is not the average of 37.50, 38.46, 39.29, 38.10 and 52.17, and the difference is not a rounding artefact. The average of those five is 41.10 per cent, exactly half a point lower. The aggregate divides one total by another total, so a year that earned more contributes more to both halves and therefore weighs more. An average of ratios treats every year as one vote regardless of size. One vote each would be right for five separate companies and is wrong for one company across five years of growth.

WHAT EACH YEAR IS ALLOWED TO WEIGH Segment widths are the weight each year carries. Labels below each segment are that weight in per cent. DIVIDE THE TOTAL BY THE TOTAL m4 m3 m2 m1 Y0 16.95 18.36 19.77 21.44 23.48 Rs 2,44,50,00,000 over Rs 5,87,70,00,000 41.60 per cent AVERAGE THE FIVE RATIOS m4 m3 m2 m1 Y0 20.00 20.00 20.00 20.00 20.00 37.50 plus 38.46 plus 39.29 plus 38.10 plus 52.17, over five 41.10 per cent The two answers are half a point apart, and neither is a mistake. They answer different questions. m4 to m1 are years minus 4 to minus 1, and Y0 is the base year. Weights on the left are each year's share of Rs 5,87,70,00,000 of profit.
The aggregate lets the largest year carry 23.48 per cent of the answer while the smallest carries 16.95, and an average of the five ratios gives all of them 20.00 per cent each.
Try it out

Five years of dividend total Rs 2,44,50,00,000 against profit of Rs 5,87,70,00,000, or 41.60 per cent. Is that the same as averaging the five annual ratios?

The tidy looking answer, and what it costs

Somebody opens the consolidated profit and loss account of Sankalp Industrial Systems Limited, reads the profit after tax line at the top of that statement, and divides the Year 0 distribution of Rs 72,00,00,000 by Rs 1,44,00,00,000. Out comes 50.00 per cent. Fifty per cent is a beautiful number. Exactly half the profit, no decimals to explain, easy to remember and easy to put in a sentence. The figure is also wrong, and its tidiness is the clearest warning sign it carries.

Rs 6,00,00,000 of that consolidated profit answers to shareholders who sit outside this group entirely, in its part-held subsidiary Sankalp Coatings Private Limited, and was never available to pay this company's shareholders. Who makes the mistake: anyone who stops reading at the profit line instead of carrying on down to the split beneath it. The cost here: 2.17 points, 50.00 against a correct 52.17. The minority is one twenty-fourth of the group, so 2.17 points sounds survivable, and on this company it is. The identical habit applied to a group whose minority is a quarter costs fifteen points for the same two seconds of not reading down.

The second version of this mistake is larger and quieter. Reporting year minus 2 as a 39.29 per cent payout year describes, accurately and completely, one of the two doors, in the only year the other door was open. The company returned 90.92 per cent of what it earned. Nothing in the dividend figure is false. The dividend figure simply answers a different question.

THE SAME NUMERATOR, TWO DENOMINATORS CONSOLIDATED PROFIT EXTRACT, YEAR 0 Profit after tax Rs 1,44,00,00,000 less the minority's share Rs 6,00,00,000 never available to this company's shareholders Profit attributable to owners Rs 1,38,00,00,000 the only denominator a payout ratio may use Sankalp Industrial Systems Limited, invented READ DOWN TO THE SPLIT Rs 72,00,00,000 over Rs 1,38,00,00,000 52.17 per cent STOP AT THE PROFIT LINE Rs 72,00,00,000 over Rs 1,44,00,00,000 50.00 per cent 2.17 points apart, on a minority of one twenty-fourth Grey is profit that belongs elsewhere. Red in this figure marks a wrong reading and nothing else.
Dividing the same Rs 72,00,00,000 by the consolidated profit rather than by profit attributable to owners produces 50.00 per cent instead of 52.17, understating the payout by exactly the minority's share.
Try it out

A reader divides Rs 72,00,00,000 by Rs 1,44,00,00,000 and reports a payout of 50.00 per cent. What did they use, and by how much are they out?

Who actually computes this, and what they do with it next

A lender looking at Sankalp Industrial Systems Limited is not interested in the payout ratio as a percentage. Rupees that left a company owing the lender money are the lender's real concern. Across these five years Rs 3,04,50,00,000 walked out of the door as dividends and a buyback. Rs 3,04,50,00,000 sits alongside the Rs 6,00,00,00,000 of gross debt on the balance sheet and the roughly Rs 1,00,00,00,000 a year of net new capital the business puts back into itself, and the arithmetic a credit team runs is simply whether the three are compatible in a bad year. The ratio is a convenient shorthand for that; the rupees are the thing.

An analyst uses it differently, and mostly uses it to spot discontinuities. Four years inside a 1.79 point band and then a fifth at 52.17 per cent is a question, not an answer, and the analyst's next move is to open the numerator and find out whether the change is a regular dividend that rose or a one-off sitting on top. On this company it is the second. The value of computing all four outputs is that each one shows which part of the story moved: the rupees show scale, the dividend ratio shows the regular habit, the total ratio shows whether a second door opened, and the yield shows what the market was charging for the same payment.

A household investor reading a factsheet is usually handed exactly one of the four, and almost always the yield. The yield is the one that looks like a return. The habit worth building is asking which dividend that yield was built on. Here the answer is 4.00 per cent on the total and 2.89 per cent on the regular, and what separates those two figures is a payment the company itself called one-off. The consequences of that difference are covered separately.

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What will these four outputs never show?

Four outputs is a small number, and the things left out matter more than the things left in. The set does not show what a buyback did to earnings per shareA year's profit divided by the number of shares in issue gives what a single share earned over that year.. The question has a naive answer and an honest one that differ, and it is worked through where buybacks are covered. The set does not show which of the yield and the ratio belongs in a given sentence. The four outputs do not show what a change in any of these figures means, and that is where signallingReading a change in what a company pays as a message about what its managers expect, rather than reading it as arithmetic. lives. And it says nothing whatever about whether any of these numbers is good.

Which of the two ratios to compute is decided by the question, not by the company, and the calculator returns both rather than choosing. A question about what shareholders received in cash from an entitlement they all shared is answered by the dividend ratio. A question about what the company handed back in total, through every door, is answered by the total ratio. A question about what one share paid against what one share cost is answered by neither ratio, and by the yield.

THE QUESTION PICKS THE OUTPUT, NOT THE COMPANY What is the actual question? What did shareholders receive in cash, on an entitlement they all shared? Dividend payout ratio Year 0: 52.17 per cent What did the company hand back in total, through every door it has? Total payout ratio Year minus 2: 90.92 per cent What does one share pay against what one share costs? Dividend yield Year 0 total: 4.00 per cent All three branches are computed on Sankalp Industrial Systems Limited, invented. None of the three ranks the others.
Three different questions lead to three different outputs, and the calculator returns all of them because the question comes from the reader rather than from the company.

Which figures here are exact, and which are rounded?

One rule governs precision in every figure here, and a reader who checks the arithmetic without knowing it will find a discrepancy that is not one. Every rupee amount here is exact, and every percentage is the exact division rounded once, at the end, to two decimals. Rs 45,65,00,000 is not an approximation of anything: it is 20,75,00,000 shares multiplied by Rs 2.20, to the rupee. The 39.29 per cent beside it is 39.285714 and so on, cut to two decimals for display.

The consequence shows up the moment two displayed percentages are subtracted. Year minus 2 reads 39.29 and 90.92, and subtracting those two printed figures gives 51.63 points. The same subtraction on the underlying divisions gives 51.64. Neither is a defect and neither is more correct in general: the first is the difference between two rounded numbers and the second is the rounded difference between two exact ones. The 51.64 figure is the one to quote, computed on the exact values and rounded once.

The same discipline explains why the five year figure is 41.60 rather than 41.61 or 41.6. Rs 2,44,50,00,000 divided by Rs 5,87,70,00,000 is 0.41602858 and a little more, or 41.60 per cent to two decimals. Nothing in that chain was rounded before the final step, and the two trailing digits are only there because the third decimal would be inventing precision the inputs do not carry.

India

What is set by rule rather than by arithmetic

The conditions attaching to a distribution and to a buyback by a listed company in India, including who must approve one, what has to be disclosed, how it may be executed and how it is taxed, are set by law and by the Securities and Exchange Board of India at sebi.gov.in, along with the Ministry of Corporate Affairs at mca.gov.in. The conditions change, and the arithmetic above works identically whatever they happen to be.

What these figures mean for how a business is read, what a change in them tells anyone, how buying back shares moves earnings per share, and whether the yield or the ratio belongs in a particular sentence are all covered separately. How the Rs 1,38,00,00,000 of profit attributable to owners is itself arrived at is settled under the financial statements and is used here as a given, as is the company's own cost of capitalBlended annual return the people who funded a business need before they are any better off for having funded it. Here it stands at 12.00 per cent.. Whether any of these numbers should be higher or lower is covered separately.

Where the method behind each output is argued

Backs which partSourceWhere
Outputs two and three, and the choice of numeratorAswath Damodaran, valuation and corporate finance teaching materialpages.stern.nyu.edu
The denominator argument and the aggregate against the averageKoller, Goedhart and Wessels, Valuationin print, no site cited
The idea that the split itself is a separate questionMiller and Modigliani, Dividend Policy, Growth and the Valuation of Shares, Journal of Business, 1961journal, by name and year
The conditions named in the block above, for a distribution or a buybackSecurities and Exchange Board of Indiasebi.gov.in
The conditions named in the block above, for filings and shareholdingMinistry of Corporate Affairsmca.gov.in

Sankalp Industrial Systems Limited and Sankalp Coatings Private Limited are invented.
Educational material. Not advice on any investment, tax, budget or market position.

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