Reinvestment Rate: What Growth Takes Out of This Year's Profit

The reinvestment rate is net reinvestment divided by that year's operating profit after tax, and it names the share of a year's profit that goes back into the business instead of out of it. Sankalp Industrial Systems Limited, invented, puts Rs 1,00,00,00,000 back against operating profit after tax of Rs 1,98,00,00,000 in Year 1, so its rate is 50.51 per cent. By Year 5 it reads 37.04 per cent on the same rupees.

Underneath that answer is a single division, and the only decision inside it is which profit figure sits below the line. Get that choice right and the rate measures the operating business against itself. Get it wrong and the rate quietly reports how much the company has borrowed. Everything difficult about a reinvestment rate is the denominator and the reading, never the arithmetic.

The division is worked first on Sankalp's Year 1, then run across five forecast years, then turned around and treated as a setting that growth and cash both answer to. The last third takes the two questions the rate cannot settle: whether the capital being committed earns anything, and where the money for it came from.

What exactly is being divided, and by what?

Two numbers, one line between them. On top goes net reinvestmentThe part of a year's outlay on assets and stock that genuinely enlarges the business, once the replacement of what is wearing out has been netted off against it.: the capital the business committed during the year that was not simply replacing what wore out. On the bottom goes operating profit after tax, the profit the trading operation earned before anybody with a claim on the company was paid.

Sankalp's Year 1 net reinvestment is Rs 1,00,00,00,000. The Rs 1,00,00,00,000 comes from three lines: capital expenditureThe cheque a business writes for equipment, buildings and other things that stay in use across many years rather than being consumed inside one. of Rs 1,34,80,00,000, less depreciationA yearly charge that writes down assets a company bought in earlier years, spreading what a machine cost across the working life it is expected to have. of Rs 52,80,00,000, plus a movement in net working capitalThe float a business has to fund because customers pay late and stock sits on the floor, less whatever its own suppliers are content to wait for. of Rs 18,00,00,000. Why those three lines and not others, and why depreciation is subtracted at all, is covered separately. The figure enters this division as an input.

Year 1 has Rs 1,98,00,00,000 sitting under the division. Two inputs make it: a trading result of Rs 2,64,00,00,000 before any interest or tax is charged, and a tax rate of 25.0 per cent that Sankalp assumes about itself. Treat it as that company's effective tax rateHow heavily tax bites in practice, measured against profit before tax. The figure below is an assumption Sankalp makes about itself. and nothing more: it is not a statutory rate, not a headline rate, and not anybody's estimate of one.

The first divided by the second gives 0.505050 and so on, which reads as 50.51 per cent, rounded to two decimal places because the inputs do not carry more precision than that. Say it out loud and it is a sentence about where a year's profit went, not a ratio: slightly more than half of what the operating business earned in Year 1 went straight back into the operating business.

Why does operating profit after tax go underneath, and not net profit?

The choice of denominator is the only decision in the whole calculation, and it is worth slowing down for. A ratio is a comparison, and a comparison is only worth making when both sides describe the same thing. The numerator here is capital going into the operating business: machines, tooling, inventory, the receivables that come with more customers. So the denominator has to be the profit that same operating business earned, measured before anybody who financed it took a share.

Operating profit after tax is exactly that measurement. Operating profit after tax starts at earnings before interest and tax, the trading result, and then applies tax on the footing of a business with no borrowings whatsoever. Nothing about how the business was funded has touched it. The numerator and the denominator are then two views of the same operating business, one of what went in and one of what came out.

Put net profitThe bottom line: what survives after interest to lenders and tax have both been taken, which is therefore the figure the owners have a claim on. underneath instead and that correspondence breaks. Interest has already come off net profit before anybody sees it. Interest taken out first makes net profit a smaller number, so the rate comes out higher, and how much higher depends on nothing but the size of the loan. Two businesses with identical factories, identical customers and identical reinvestment would report different reinvestment rates, and the difference between them would be describing their borrowing rather than their investment.

Work it on Sankalp's Year 0, where both figures exist

Year 0 is the last completed year for Sankalp Industrial Systems Limited. Earnings before interest and tax were Rs 2,40,00,00,000. Interest was Rs 48,00,00,000. Tax comes off at 25.0 per cent, the rate Sankalp assumes for itself, and the two routes give:

Take the same Rs 1,00,00,00,000 of net reinvestment and lay it over each in turn. Against operating profit after tax the rate reads 55.56 per cent. Against net profit it reads 69.44 per cent. The company did not reinvest a single rupee more in the second reading than in the first. The denominator simply had Rs 48,00,00,000 of interest taken out of it before the division happened, and the rate rose by nearly fourteen points as a result.

Think of a shopkeeper working out what share of his takings goes back into stock. If he measures it against what is left after his monthly loan instalment, he will report a bigger share than his neighbour who bought the shop outright years ago, even when the two of them buy identical stock from the same supplier. The difference is not a fact about how keenly either of them restocks. The difference is a fact about one of them having a loan.

What does 50.51 per cent actually mean, said out loud?

Percentages have a way of becoming furniture. A reader sees 50.51 and files it as a middling number, neither alarming nor impressive, and moves on. The 50.51 has a very concrete meaning, and filing it away as furniture wastes a good figure.

A reinvestment rate of 50.51 per cent says that for every hundred rupees of operating profit Sankalp earned in Year 1, Rs 50.51 went into machines, tooling, inventory and receivables before anybody with a claim on the company saw a rupee of it. Not lenders, not owners, not the tax authority beyond what had already been charged. Slightly more than half of the year's operating earnings stayed inside the business and turned into equipment and stock.

A wedding caterer is a good picture of the same thing. At the end of a season she counts her surplus. Part of it goes home and pays for the household. Part of it buys another set of vessels, another two burners and the deposit on a bigger tempo, and next season she can take the orders she had to turn down this time. The share that goes into vessels rather than home is her reinvestment rate. The share says nothing about whether the season was good. The share says what she did with the surplus.

What happens to the half that does not go back in?

Here is the part that gets skipped, and it is the half most readers actually care about. A year's operating profit after tax splits into exactly two pieces and there is no third. Whatever is not reinvested is what the business generates as cash for everyone with a financial claim on it.

Sankalp's Year 1 operating profit after tax of Rs 1,98,00,00,000 splits into Rs 1,00,00,00,000 reinvested and Rs 98,00,00,000 generated. The Rs 98,00,00,000 is free cash flow to the firm, and how it is defined and what separates it from the equity version of the same idea is covered separately. Here it matters only as the complement: 50.51 per cent reinvested means 49.49 per cent generated, and the two shares add to the whole because there is nowhere else for the money to go.

The reinvestment rate and the cash the firm generates are one number seen from two sides. The equivalence turns every statement about one into a statement about the other. Saying that a company puts 70 per cent back into the business also says that it hands over the remaining 30 per cent, whether or not that was intended.

What do all five forecast years look like when the division is run on each?

One year is an example. Five is a pattern, and the pattern here is the point. Across the five years of Sankalp's explicit forecastThe stretch of years a model spells out line by line. Beyond its last year, something else has to carry the value. the net reinvestment never moves off Rs 1,00,00,00,000, while operating profit after tax climbs by a flat Rs 18,00,00,000 a year. Run the division five times.

The lesson sits where the second column and the fourth column meet. Read the two together. The numerator does not move by a single rupee across five years, and the rate still falls from 50.51 per cent to 37.04 per cent. The whole movement, all 13.47 percentage points of it, happened in the third column.

Notice too that the last column is doing the opposite. The cash the firm generates climbs instead. Because the amount held back for reinvestment never changes, Year 1 hands over Rs 98,00,00,000 and Year 5 hands over Rs 1,70,00,00,000, a step of Rs 18,00,00,000 every year that matches the profit line exactly. A reader who sees only the rate column watches a business apparently retreating. A reader who sees the last column watches one handing over more every year. Both columns are describing the identical forecast.

Why does the rate fall when nothing the company does changes?

Because a ratio has two halves, and either half can move it. The rule sounds too obvious to be worth a heading, and it is forgotten constantly in practice.

A ratio shrinks when its numerator falls. A ratio also shrinks when its denominator rises. The two produce the same movement in the figures and describe opposite situations: in the first the company is committing less capital, and in the second it is earning more to commit the same capital from. Nothing on the face of a percentage says which of the two is in view.

Sankalp is squarely in the second case. The reinvestment holds at Rs 1,00,00,00,000 throughout, and the denominator climbs across the forecast from Rs 1,98,00,00,000 to Rs 2,70,00,00,000, a rise of Rs 72,00,00,000. The fall in the rate is arithmetic doing what arithmetic does. The fall is not a decision, not a signal and not a change in behaviour, and there is nothing in the forecast to suggest the company altered its approach in any of the five years.

A farmer buys one more buffalo every year. In the first year the herd is small and one animal is a large addition to it. Ten years later the herd is much bigger, the farmer is still buying one animal a year, and that one animal is now a small share of the herd. Tracking only the share suggests the farmer has lost interest. He is doing precisely what he always did.

What does moving the rate do to growth, and what does it do to cash?

So far the rate has been something calculated after the fact. Turned around, it can be treated as a setting instead. Suppose Sankalp could choose any reinvestment rate it liked for Year 1. Which figures would move?

Two things, and they move in opposite directions.

The first is growth. Aswath Damodaran's way of getting growth out of fundamentals makes it the product of two things and only two: the share of profit put back, and what that share earns once it is working. The second of those is the return on new invested capitalExtra profit, divided by the fresh capital that produced it. Sankalp's forecast pins this at 18.00 per cent and records no evidence for the figure.. Why the product holds, and the checks that confirm it year by year on this forecast, is covered separately; here it is a settled result. Take Sankalp's 50.51 per cent, take the 18.00 per cent its forecast assumes, and the product is 9.09 per cent, precisely the step from Year 1 to Year 2 in the table above. Put back a larger share and growth climbs in proportion.

Nobody wrote down why 18.00 per cent, and the whole forecast leans on it. Set the figure out as four separate questions and the gap shows up at once.

Print the figure alone and a choice quietly starts reading as an observation. Print it with that fourth row attached and a reader knows exactly what they are holding.

The second is cash. Free cash flow to the firm is whatever the reinvestment leaves behind out of operating profit after tax, so every extra rupee committed is a rupee that does not come out of the business this year. Reinvest more and the cash falls, one for one.

Growth and cash are drawn from the same Rs 1,98,00,00,000, and one pot is why they cannot both improve. At a reinvestment rate of nothing, Sankalp generates the whole Rs 1,98,00,00,000 and grows not at all. At a rate of 100 per cent it grows 18.00 per cent and generates nothing. Every setting between the two is a trade, and there is no corner of the range where the trade goes away.

One caution about the picture. Each line is drawn across the full height of its own scale, cash against Rs 1,98,00,00,000 and growth against 18.00 per cent, so they meet at a reinvestment rate of exactly 50.00 per cent, where the year splits into Rs 99,00,00,000 each way and growth reads 9.00 per cent. The meeting point is a fact about how the two axes were scaled and not a fact about the business. Halve one axis and it moves. Sankalp's own Year 1 rate of 50.51 per cent sits a whisker to the right of it, close enough that the two cannot be drawn apart at this width.

The six marked settings, in words. At a rate of nothing, Sankalp reinvests nothing, hands over the whole Rs 1,98,00,00,000 and grows 0.00 per cent. At 25.00 per cent it reinvests Rs 49,50,00,000, hands over Rs 1,48,50,00,000 and grows 4.50 per cent. At 37.04 per cent, the Year 5 rate, it reinvests Rs 73,34,00,000, hands over Rs 1,24,66,00,000 and grows 6.67 per cent. At 50.51 per cent, the forecast rate, it reinvests Rs 1,00,00,00,000, hands over Rs 98,00,00,000 and grows 9.09 per cent. At 75.00 per cent it reinvests Rs 1,48,50,00,000, hands over Rs 49,50,00,000 and grows 13.50 per cent. At 100.00 per cent it reinvests the whole Rs 1,98,00,00,000, hands over nothing and grows 18.00 per cent.

Can the rate go above 100 per cent, or below zero?

Both, and neither is a mistake in the arithmetic. The first instinct on seeing either is to hunt for a broken formula, and the formula is usually fine.

Above 100 per cent

A rate above 100 per cent means the numerator has outgrown the whole year of operating profit after tax underneath it. The company put more capital into the business than the business earned. Spending ahead of the year's earnings happens routinely: a manufacturer building a second plant ahead of the orders it expects, a retailer opening thirty stores in a year, anybody laying down capacity before the revenue arrives. The arithmetic is sound and the situation is ordinary.

A rate above 100 per cent does show where to look next. The shortfall had to be funded from somewhere outside the year's earnings, and three places are left: new borrowing, an issue of shares, or cash the company was already holding. A reinvestment rate above 100 per cent is as much a statement about funding as it is about investment, and reading it without opening the funding lines leaves half the story on the table.

Below zero

A negative rate means the numerator itself is negative, and the numerator is what was laid out on assets once the depreciation charge has been set against it, with the working capital build added on top. So a negative reinvestment rate says the company's spending on assets is smaller than the depreciation charge running against the assets already installed, by more than any working capital build adds back.

In plain terms the asset base is shrinking. Equipment is wearing out faster than it is being replaced. A shrinking asset base can be intentional, in a business winding down a product line or harvesting a mature operation, and it can be involuntary, in a business that cannot afford the replacement. The rate does not distinguish between those two.

How this is actually read in a working week

Three people look at the same rate for three different reasons, and most of the skill lies in knowing which of the three is doing the reading.

A lender is looking straight past the rate at the complement. Somebody sizing a facility for Sankalp does not primarily care that 50.51 per cent of Year 1 operating profit went back into the business. A loan is serviced out of cash, so the lender cares that Rs 98,00,00,000 came out of it. When the rate is high the cash is thin, and a facility sized against operating profit rather than against what the year actually generates is sized against money that is already committed to machinery. Where a lender is involved in India the Reserve Bank of India is the authority for the framework around that lending, and its requirements change, so a reader checks the current text at rbi.org.in rather than relying on any summary.

An equity analyst is using the rate as a forecasting lever rather than as a measurement. Once the five explicit years are laid out, something has to be assumed about the years beyond them, and the reinvestment rate is one of the few assumptions that moves both halves of the model at once. Raise it and the growth line steepens while the cash line flattens; lower it and the reverse. The rate beyond the fifth year, and how it is made consistent with the growth assumed alongside it, is covered separately and is a genuinely difficult question.

An investor reading a set of published accounts is usually checking whether a story and a number agree. A company describing an aggressive expansion should be showing a high reinvestment rate, or a rate above 100 per cent. A company describing capital discipline and a return of cash to owners should be showing a low one. Where the words and the rate point in different directions, one of them is wrong, and that gap is worth more than either figure alone.

In all three cases the practical habit is the same and it takes one extra column: print the rupees of net reinvestment next to the rate, always. A rate on its own hides which half of itself is moving.

What does the rate leave unsaid?

A reinvestment rate is a measurement of quantity and nothing else. The rate reports how much of a year's operating profit went back into the business. The rate says nothing whatever about where that money went, what it bought, or whether any of it will earn a rupee.

Take two companies whose reinvestment rate is the identical 50.51 per cent. The first puts its capital into capacity that earns 18.00 per cent, and the growth that follows is real. The second puts an identical share into equipment that earns nothing at all, and grows not at all. On this measure the two are indistinguishable. The rate is one of two numbers required. The other is the return the new capital earns, a separate calculation covered separately.

The silence has a direct consequence for how the number is spoken about. A high reinvestment rate is not a strength and a low one is not a weakness. Neither reading survives contact with the return the capital is earning, and Koller, Goedhart and Wessels press exactly that point. Their treatment refuses to let a growth figure stand on its own: it has to be read beside what the money funding that growth earns, and beside what the money costs to have. Growth adds value when the first clears the second and not otherwise. Whether Sankalp's clears it is settled elsewhere.

Three more things the rate is silent on, worth listing because each one gets read into it anyway: