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Gross Domestic Product: What It Counts, What It Misses, and How Real Against Nominal Growth Is Read

Gross domestic product (GDP) is the value of everything produced inside a country in a period, counted once. Nominal GDP measures it at that year prices, so it climbs when prices climb. Real GDP holds prices at a base year, so it climbs only when more is actually made. Almost every argument about growth turns out to be an argument about which of the two somebody quoted.

Underneath that answer sits one idea and one problem. The idea is that a country worth of unlike things can be added up by measuring each one in money instead of in tonnes and hours. The problem is that money itself moves. A rupee of output this year and a rupee of output last year are not the same amount of stuff, so a total measured in rupees rises for two entirely different reasons, and the whole apparatus below exists to pull those two reasons apart.

A reader arrives here knowing what a price is, what a market is and how a price is settled between buyers and sellers. Because this is the first aggregate, nothing about aggregates is assumed. The definition comes apart word by word below, followed by what the measure was never built to see, the three routes to the same total and why they disagree slightly, the separation of a nominal reading from a real one, exactly how much the popular shortcut for combining them is wrong by, and why an economy can add output in a year that adds no work at all.

The Republic of Sankhya, a country constructed for this walkthrough, supplies every rupee crore that follows. Its figures were chosen so the arithmetic lands exactly rather than roughly. Real measurement behaves the other way round: levels arrive with a margin of error and rates rarely divide cleanly. Every rate below is recomputed from the two levels it sits between, and the panel further down recomputes the central one live as its two dials move.

What is Gross Domestic Product, and what is each of its five words doing?

Gross domestic productThe total value of goods and services produced inside a country during a stated period, with each item counted once. Gross means before any allowance for the machinery and buildings worn out along the way. is a sentence pretending to be an acronym, and the sentence is short enough to take apart a word at a time. Slowly, then: the value of everything produced inside a country in a period, counted once. Five separate instructions are hiding in there, and each one rules something out. Missing any of them means misreading a published figure without ever knowing it.

Start with value. A country makes onions, haircuts, cement, bus rides and software in the same twelve months, and there is no unit that adds those together. Kilograms will not do it and hours will not do it. Money will. Everything on that list has a price, so each item can be converted into rupees and the rupees can be added. Pricing everything is the foundation of the whole measure, and it plants the first limitation too. Anything without a price becomes invisible to the total.

Then produced. The measure counts making, not changing hands. When a neighbour sells a five year old scooter, a payment happens, but no scooter came into existence this year, so nothing is added. The dealer commission on that sale is a service produced this year and does count. The test is never whether money moved, it is whether something new came into being in the period being measured. Inside a country is a statement about geography and not about who takes the profit home: a plant standing on Sankhya soil counts in Sankhya output whoever the shareholders are and wherever they live. In a period makes it a flow rather than a stock. A flow is why output is quoted per year and never as an accumulated pile.

Five words. Each one rules something out, and the fifth is the one that needs machinery. VALUE Measured in rupees, because onions, haircuts and cement RULES OUT adding up quantities of unlike things. PRODUCED Something new came into being inside the period RULES OUT a resale of what an earlier period made. INSIDE A COUNTRY A question about where the producing happened RULES OUT asking who takes the profit home. IN A PERIOD A flow across twelve months, then the counter resets RULES OUT reading it as a pile of accumulated wealth. COUNTED ONCE Only what each producer adds gets added to the total RULES OUT counting the wheat again inside the flour, and then a third time inside the bread. Illustrative teaching device. No country and no published figure is described here.
Each of the five words in the definition rules something out, and the fifth one, counted once, is the only one that needs an accounting method behind it rather than a simple reading.
Try it out

What does the word produced rule out of gross domestic product?

Why does counting the flour and the bread in full count the same wheat three times?

One short street in Sankhya carries the whole point. A grower sells wheat to a mill for Rs 20/-. The mill grinds it and sells flour to a bakery for Rs 32/-. The bakery bakes and sells bread over the counter for Rs 50/-. Three producers, three sales, and a very tempting mistake sitting right there: adding the three sale values gives Rs 102/-.

Look at what that Rs 102/- actually contains. The grower Rs 20/- of wheat is inside the wheat sale, inside the flour sale and inside the bread sale, so it has been counted three times over, contributing Rs 60/- to the total. The mill own contribution of Rs 12/- sits inside the flour sale and inside the bread sale, so it has been counted twice, contributing Rs 24/-. The bakery Rs 18/- is counted once. Sixty plus twenty four plus eighteen is exactly the Rs 102/-, so the inflation of the total is not vague, it can be traced rupee by rupee.

The repair is to count only what each producer adds. The name for it is value addedThe sale value of what a producer sells, less the cost of the goods and services it bought in from other producers to make it. What is left is the part that producer itself created.: sale value less the cost of everything bought in from somebody else. The grower adds Rs 20/-. The mill adds Rs 32/- less Rs 20/-, or Rs 12/-. The bakery adds Rs 50/- less Rs 32/-, or Rs 18/-. Twenty plus twelve plus eighteen is Rs 50/-, the price of the bread. The sum of what everybody added is exactly the value of the final good. Value added and final output are therefore two routes to one number rather than two different measures. Double countingAdding the same production into a total more than once, which happens when the sale values of the steps in a chain are added instead of what each step contributed. is what the arithmetic on the left is called, and every national accounting system on earth is built to prevent it.

One chain, two totals. Only one of them is the amount of new value created. GROWER sells wheat for Rs 20/- MILL sells flour for Rs 32/- BAKERY sells bread for Rs 50/- THE WRONG TOTAL, ADDING THE THREE SALE VALUES Rs 20/- Rs 32/- Rs 50/- wheat wheat again milling wheat a third time milling again baking Rs 102/-, of which Rs 60/- is one lot of wheat counted three times over THE RIGHT TOTAL, ADDING ONLY WHAT EACH STAGE CONTRIBUTED grower Rs 20/- mill Rs 12/- bakery Rs 18/- 32 less 20 is 12 for the mill, and 50 less 32 is 18 for the bakery 20 PLUS 12 PLUS 18 IS Rs 50/-, EXACTLY THE PRICE OF THE BREAD Invented street, invented prices. The chain is a teaching device and describes no real trade.
Adding the three sale values reaches Rs 102/- because the same wheat is inside all three of them, while adding only what each stage contributed reaches Rs 50/-, the value of the loaf that finally left the chain.
Try it out

On that street, why would counting the flour sale and the bread sale in full be wrong?

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What does the measure not count, and is any of that a fault in it?

Four things sit outside it. Naming them precisely matters because vague complaints about the measure usually turn out to be one of these four stated badly.

The first is unpaid work. A parent who cooks two meals a day, cleans the house and cares for an elderly relative has produced a great deal, and none of it carries a price, so none of it enters the total. Hire somebody to do exactly the same tasks and the total rises, though the amount of cooking and cleaning in the world has not changed by a single meal. The second is anything produced outside the recorded economy: the cash trade nobody writes down, the workshop that never registered. Real production, invisible to the counters. The third is depletion, meaning whatever was used up to produce the output, from a machine that wore out to a forest that did not grow back. The word gross in the name is the honest admission of this: gross means before wear and tear is subtracted. The fourth is distribution. The total says how much was produced, never who received it, so two countries with identical output can have completely different lives inside them.

None of those four is a fault. Gross domestic product never claimed to measure welfare, sustainability or fairness, and a measure cannot fail at a job it was not built to do. The genuine risk is not the measure, it is the reader who treats one number as a report card on a country. Held to its scope, the number becomes useful again: this is a production counter, it counts what was made and priced, and it stops there.

The boundary is drawn at a price. Everything on the right side is outside the count, and intentionally so. INSIDE THE COUNT OUTSIDE THE COUNT Goods and services that carry a price onions, haircuts, cement, bus rides, software What each producer adds, once sale value less what was bought in from others Anything produced on the territory whoever the producer belongs to, wherever they live Only this period making the resale of an older asset adds nothing Unpaid work done at home cooking, cleaning, care. Real, and carries no price Activity that reaches no record produced and paid for, never written down Whatever was used up on the way the word gross is the admission of this Who ended up with the output one total, and no statement about its sharing THE RIGHT HAND COLUMN IS SCOPE, NOT FAILURE Hire somebody to cook the meals a parent was already cooking and the total rises, though the number of meals has not changed. That is the boundary showing itself, not the measure breaking.
Unpaid work, unrecorded activity, what was used up and who received the output all sit outside the boundary, and none of the four is a defect in a measure that was only ever built to count priced production.
Try it out

Which pair names two things gross domestic product does not count?

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How to read how GDP is calculated: which of the three routes produced the figure in hand?

There is one total and three ways to arrive at it, and the three are not rival estimates of different things. The three are different piles of paperwork that ought to end at the same place.

The production route adds up what each producer contributed, the value added arithmetic from the bread chain repeated across every producer in the country. The expenditure route adds up what was spent on final output: what households bought, what businesses put into new plant and stock, what government spent, and what foreigners bought from the country less what the country bought from abroad. The income route adds up what was earned in the making of it: wages, the operating surplus of businesses, and the mixed income of people who work for themselves and cannot separate their wage from their profit. The three agree in principle for a plain reason. Every rupee of value somebody produced was spent by somebody buying it, and became income for somebody making it. Same rupee, three vantage points.

In practice the three routes disagree. Each route is built from different records collected by different means at different times, so the gap between them is a measurement residual rather than a mystery. Suppose the production route lands Sankhya year 3 output at Rs 19,26,288 crore and the expenditure route, added up separately, reaches Rs 19,30,000 crore. A gap of Rs 3,712 crore is 0.19 per cent of the total. Nothing is wrong: two enormous counting exercises reached figures within a fifth of a per cent of each other. Statistical systems normally publish one route as the headline and carry the discrepancy openly as a line of its own. The route a figure came from is worth asking about. The routes are compiled on different timetables and revised on different schedules, so two published numbers for the same year can differ without either being an error.

Three piles of paperwork, one total. The gap between them is measured, not hidden. ROUTE 1. PRODUCTION Add what every producer contributed, each counted once. The bread chain, country wide. ROUTE 2. EXPENDITURE Households, businesses and government spending, plus sales abroad less purchases. ROUTE 3. INCOME Wages, the surplus businesses keep, and the mixed income of people working for themselves. ONE TOTAL, SANKHYA YEAR 3 Rs 19,26,288 crore measured at that year prices, on the production route. Invented figure. THE RESIDUAL, IF SPENDING ADDED TO 19,30,000 Rs 3,712 crore, which is 0.19 per cent WHY THEY SHOULD AGREE, AND WHY THEY DO NOT QUITE Every rupee produced was spent by somebody and earned by somebody. Different records, collected differently, leave a gap.
The three routes are three counts of the same rupees from different vantage points, so the small gap between them is a measurement residual that gets published rather than an error somebody made.

Who compiles this in India, and what to take from each of them

Three names are worth carrying before any search begins. India national accounts come out of the Ministry of Statistics and Programme Implementation. Inside it, the National Statistical Office does the compiling and puts out the methodology notes that say which records feed which route. Separately, the Reserve Bank of India reproduces output series in its own statistical volumes with the vintage of each one attached. A third document, the Economic Survey, comes out under the Ministry of Finance and retells a year of output as narrative, with a source named under every table it prints. The magnitudes, the calendars and the release cadences belong to the three issuers themselves, and a figure carried from memory rots silently while the sentence around it carries on looking confident. The issuer is the place to go: its coverage note says what has been left out, and the number is best lifted together with its date at the moment it is needed.

Try it out

What are the three routes to the same gross domestic product total?

Try it out

Why should a reader ask which route produced a published growth figure?

Nominal GDP vs Real GDP: what is each of them, and only then, how do they differ?

Take them one at a time first. Most of the trouble in this area comes from meeting the two as a pair and never learning what either one is by itself.

NominalMeasured in the money of the day, with no adjustment for the fact that money buys different amounts of goods at different times. gross domestic product is the total measured at the prices actually charged in the year being measured. Every item counted is valued at what it sold for that year. Nominal output is the honest arithmetic of the year as it was lived, and it is what summing real invoices would give. Because prices are part of it, a nominal total climbs when more is made, when prices rise, or when both happen at once, and by itself it never says which.

RealMeasured at the prices of one chosen year, so that the figure moves only when the quantity produced moves and not when prices do. gross domestic product is the same production valued at the prices of one fixed year, the base yearThe year whose prices are held fixed so that quantities from several years can be compared on one price ruler. Statistical systems change the base year occasionally, and a change of base changes the level of every real figure in the series.. Hold the price ruler still and the total can only move when the quantities move. Real output is an artificial figure because nobody paid those prices in the later years. And that is exactly the point: the figure answers one question only, whether more stuff was produced.

Now set them side by side on Sankhya. Real output was Rs 16,00,000 crore in year 1 and Rs 16,80,000 crore in year 2. Dividing 16,80,000 by 16,00,000 gives 1.05, a rise of 5.00 per cent. Nominal output was Rs 16,00,000 crore and then Rs 17,64,000 crore. Dividing 17,64,000 by 16,00,000 gives 1.1025, a rise of 10.25 per cent. Same country, same year, same production, and two published growth rates that differ by a factor of two, with the entire difference being that prices in Sankhya rose 5.00 per cent that year. The household version of this is a monthly grocery bill. The bill goes from Rs 8,000/- to Rs 8,800/-, up 10 per cent, and yet the trolley leaving the shop holds the same items in the same quantities. Nominal grocery spending rose 10 per cent. Real grocery consumption did not move at all.

Same production, two series. They start together and separate every year after. Indexed to year 1 equals 100. Sankhya is invented and every level is illustrative. 122 110 98 YEAR 1 YEAR 2 YEAR 3 both at Rs 16,00,000 crore Rs 17,64,000 crore Rs 16,80,000 crore Rs 19,26,288 crore Rs 17,47,200 crore NOMINAL REAL The whole vertical distance between the two lines is prices, and none of it is extra production.
The nominal and real series begin at the identical level in the base year and separate every year afterwards, and the entire vertical distance between them is accumulated price change rather than extra output.
Try it out

Nominal output rose 10.25 per cent over a year in which prices rose 5.00 per cent. What was real growth?

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Why is nominal growth not simply real growth plus inflation?

The arithmetic that follows costs half a minute to learn, and it removes a small permanent error from every growth figure read afterwards.

Growth compounds, it does not add. Output in rupees this year is last year output multiplied by one plus real growth, and then multiplied again by one plus the price change. So nominal growth is one plus the first, times one plus the second, less one. On Sankhya year 2 that is 1.05 times 1.05, or 1.1025, so nominal growth is 10.25 per cent, not 10. On year 3 it is 1.04 times 1.05, or 1.0920, so nominal growth is 9.20 per cent, not 9. The extra bit is the cross term, and it is exactly the two rates multiplied together: 5 times 5 divided by 100 is 0.25 points, and 4 times 5 divided by 100 is 0.20 points. In plain language the cross term is the price rise applied to the new output as well as to the old. The extra production made this year is also sold at this year higher prices.

The gap is small when both rates are small and it grows with both of them, so the shortcut is a habit that behaves well in the conditions where accuracy hardly matters and fails hardest exactly where it does. At 2 per cent and 2 per cent the shortcut is wrong by 0.04 points, an error nobody would notice. At 20 per cent and 20 per cent it is wrong by 4.00 points, a fifth of the entire number. And the shortcut can flip a sign. If real output rises 5 per cent while prices fall 5 per cent, the shortcut says nominal output was flat, when in fact 1.05 times 0.95 is 0.9975, so nominal output fell by 0.25 per cent. The rupee total went down in a year that produced more.

Sankhya year 2: 5.00 real and 5.00 inflation do not make 10.00. REAL GROWTH 5.00 PRICE RISE 5.00 CROSS TERM 0.25 1.05 times 1.05 is 1.1025, so the true nominal growth is 10.25 per cent WHERE THE SHORTCUT STOPS: 5 PLUS 5 IS 10.00 On a starting output of Rs 16,00,000 crore, that missing 0.25 points is Rs 4,000 crore of output THE SAME TAIL END, MAGNIFIED: THE SCALE BELOW RUNS 9.75 TO 10.50 ONLY 9.75 10.00 shortcut 10.25 true 10.50 the sum of the two rates the product of the two rates
Nominal growth of 10.25 points splits into 5.00 of real growth, 5.00 of price rise and a cross term of 0.25 points, which on a base of Rs 16,00,000 crore is Rs 4,000 crore that the shortcut never accounts for.
How wrong the shortcut is, in percentage points, at every pair of rates. Each cell is the two rates multiplied and divided by a hundred. Nothing here is measured; it is arithmetic. PRICE RISE, PER CENT 2 4 5 10 15 20 REAL GROWTH 2 0.04 0.08 0.10 0.20 0.30 0.40 4 0.08 0.16 0.20 0.40 0.60 0.80 5 0.10 0.20 0.25 0.50 0.75 1.00 10 0.20 0.40 0.50 1.00 1.50 2.00 15 0.30 0.60 0.75 1.50 2.25 3.00 20 0.40 0.80 1.00 2.00 3.00 4.00 The two outlined cells are the Sankhya years: 5 and 5 giving 0.25 points, and 4 and 5 giving 0.20 points. Top left the shortcut is harmless. Bottom right it drops a fifth of the whole growth rate.
The size of the shortcut error is the two rates multiplied together, so it runs from a harmless 0.04 points when both rates are small to a serious 4.00 points when both are twenty.
Try it out

Real growth is 4 per cent and prices rise 5 per cent. Is nominal growth 9 per cent?

Play with it

Move the two rates and watch how much the shortcut of adding them drops.

The panel opens on the Sankhya year 2 case: real growth of 5.00 per cent and a price rise of 5.00 per cent, giving nominal growth of 10.25 per cent against a shortcut of 10.00 and a cross term of 0.25 points. Three things redraw together whenever either slider moves. The column on the left restacks into its real, price and cross term parts with a dashed line marking where the shortcut stops. The line on the right steepens as real growth rises. The line plots the cross term against every price rise at the real growth chosen. The strip at the foot converts the whole thing into rupees on a starting output of Rs 16,00,000 crore. Small settings understate the effect: with both sliders past fifteen, the red sliver at the top of the column becomes a block impossible to miss.

Jump to a setting:
MOVE EITHER RATE. THE COLUMN, THE LINE AND THE RUPEE STRIP ALL REDRAW.
Real output growth of 5.00 per cent alongside a price rise of 5.00 per cent gives nominal growth of 10.25 per cent. Adding the two rates stops at 10.00 per cent, so the shortcut drops 0.25 points. On a starting output of Rs 16,00,000 crore the true nominal total is Rs 17,64,000 crore against the shortcut answer of Rs 17,60,000 crore, a difference of Rs 4,000 crore.
Nominal growth, computed
10.25 per cent
The shortcut, the two added
10.00 per cent
The cross term dropped
0.25 points
Nominal total, computed
Rs 17,64,000 crore
Nominal total, shortcut
Rs 17,60,000 crore
Output the shortcut loses
Rs 4,000 crore
Educational illustration. Every figure attached to the Republic of Sankhya is illustrative rather than measured. Money is held in whole rupees inside the computation and converted to crore only for display, so the rupee strip and the growth rates cannot drift apart. Both sliders are held at or above zero to keep the column readable. Where prices fall instead, the same multiplication applies with the second factor below one, and that case is worked through above. The price rise slider stands in for the device that separates one series from the other, and how a price index is actually built is a separate subject. Both rates are chosen settings rather than predictions of any economy.
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What is the deflator doing in this arithmetic, and what is it not doing here?

One number carries a total across from one series to the other. The deflatorA price index for everything an economy produces, set to 100 in the base year, used to convert a total measured at current prices into one measured at base year prices. is a single number for the price level of everything produced, set to 100 in the base year. Real output times the deflator, divided by 100, is nominal output. Turn it around and nominal output divided by the deflator, times 100, is real output.

Work it once on Sankhya so the mechanism is not abstract. In year 3 the deflator stands at 110.25 against the base year 100, so prices for output as a whole are 10.25 per cent above the base year. Real output of Rs 17,47,200 crore multiplied by 110.25 and divided by 100 gives Rs 19,26,288 crore, the nominal figure. And the year on year price change comes out of the deflator itself: 110.25 divided by 105.00 is 1.05, so prices rose 5.00 per cent in year 3, exactly as they did in year 2.

The deflator is the lever that converts one series into the other, and nothing more than that. How the price level is actually measured, what prices go into it, how a basket is chosen and refreshed and why different price measures disagree with each other, is a full subject of its own, taught under inflation and prices.

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Employment Growth: what is it, and what does it have to do with output?

Employment growthHow far the count of people in work has moved from one period to the next, usually stated as a percentage of the earlier count. is the simplest measure in this guide. The measure counts the people working at the close of a year, counts them again at the close of the year before, and states the difference as a percentage of the earlier count. Sankhya had 8.00 crore people working in year 1 and 8.00 crore in year 2, so growth was nil. In year 3 it had 8.32 crore, and 8.32 divided by 8.00 is 1.04, so employment grew 4.00 per cent.

Set next to the output series, that count turns up something instructive. Year 2 delivered real growth of 5.00 per cent with not one additional worker. Output divided by workers shows where it came from. Year 1 gives Rs 2,00,000/- for each worker. Year 2 divides a larger Rs 16,80,000 crore by an unchanged 8.00 crore and gives Rs 2,10,000/-, so each worker produced 5 per cent more. Year 3 is the mirror image. Output rose 4.00 per cent, workers rose 4.00 per cent, and dividing Rs 17,47,200 crore by 8.32 crore returns Rs 2,10,000/- again, unchanged. Every point of year 3 growth came from more people working, and none of it from any worker producing more.

Output growth and employment growth are two separate series that happen to be published side by side, and neither one can be read off the other. Think of two workshops on the same lane. The first buys a second machine and hires nobody, and its output rises. The second hires two more hands to work the machine it already has, and its output rises by a similar amount. Both grew. One created work and one did not. A reader who sees only the output line cannot tell which lane they are looking at. How the two series relate to each other in full, and what a year of growth without jobs actually means for people, is taken up under output growth and employment.

Two series, one economy. In year 2 they move apart; in year 3 they move together. Indexed to year 1 equals 100. Invented figures for the Republic of Sankhya. 112 100 YEAR 1 YEAR 2 YEAR 3 output up 5.00 per cent workers unchanged at 8.00 crore output up 4.00 per cent workers up 4.00 per cent OUTPUT EMPLOYMENT Year 2 output per worker: Rs 2,00,000/- rising to Rs 2,10,000/-. Year 3: Rs 2,10,000/- and unchanged. One growth rate came entirely from each worker doing more; the other came entirely from more workers.
Year 2 added 5.00 per cent of output with the workforce standing still, and year 3 added 4.00 per cent with 4.00 per cent more workers, so the two series can move apart or together in the same economy.
Try it out

Sankhya year 2 grew 5.00 per cent in real terms with employment unchanged at 8.00 crore. What does that establish?

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How do all three Sankhya years look at once, with every rate worked from the levels?

Here is the whole case in one place. Read it downward and every rate in the table can be checked against the two levels sitting above it. Checking a rate against its own levels is the only way to hold a growth figure honestly.

The lineYear 1Year 2Year 3
Real output, at base year pricesRs 16,00,000 crRs 16,80,000 crRs 17,47,200 cr
Real growth on the year beforebase5.00 per cent4.00 per cent
Deflator, base year equals 100100.00105.00110.25
Price change read off the deflatorbase5.00 per cent5.00 per cent
Nominal output, real times deflator over 100Rs 16,00,000 crRs 17,64,000 crRs 19,26,288 cr
Nominal growth, computed from those levelsbase10.25 per cent9.20 per cent
What the shortcut of adding would saybase10.00 per cent9.00 per cent
The cross term the shortcut dropsnil0.25 points0.20 points
People working8.00 crore8.00 crore8.32 crore
Employment growthbasenil4.00 per cent
Real output per workerRs 2,00,000/-Rs 2,10,000/-Rs 2,10,000/-

Two checks are worth doing before moving on. Rs 17,47,200 crore multiplied by 110.25 and divided by 100 lands on Rs 19,26,288 crore exactly. And Rs 19,26,288 crore divided by Rs 17,64,000 crore gives 1.0920, the same 1.0920 that 1.04 times 1.05 gives. Every rate in that table is recoverable from the levels above it, and a growth figure whose levels are not visible is a figure that cannot be checked. For a sense of scale, one market inside this economy, the Sankhya onion market at Rs 2,000/- a quintal and 100 lakh quintals, comes to Rs 2,000 crore, or 0.125 per cent of year 1 output. An aggregate is built out of thousands of things that size.

What does an analyst actually do with a growth figure?

Less than might be expected, on its own. A growth rate arriving without its context is close to unusable, and the practitioner move is a short list of questions asked before the number is allowed anywhere near a model.

Which measure is this, real or nominal? Which route produced it? Is this a first estimate or a revised one, and what was the earlier version? And then the one that decides whether the number is any use: what does it imply for the specific line somebody is actually looking at? The most common practical error is a mismatch of measures. A company revenue line is a rupee figure at the prices actually charged, so it is a nominal series, and setting its growth beside real output growth compares two things measured on different rulers. If a lender is sizing whether a borrower is keeping pace with the wider economy, the honest comparator for a rupee revenue line is the nominal series. A borrower whose revenue rose 8 per cent in a year when nominal output rose 10.25 per cent lost ground, even though 8 looks comfortably ahead of the 5.00 per cent real figure that gets quoted in conversation.

The household version is the same discipline in miniature. A salary rose 6 per cent and the earner feels better off. Whether that is so depends on the price ruler. If prices rose 5 per cent the real gain is not 1 per cent but 1.06 divided by 1.05, or 0.95 per cent. Small difference here, and the same arithmetic that matters enormously when both numbers are large. Which prices a figure is measured at is worth establishing every time, before the figure is allowed to mean anything.

The analyst who reports ten per cent growth from a nominal series and doubles the truth

An analyst pulls Sankhya output for year 1 and year 2 from a table showing Rs 16,00,000 crore and Rs 17,64,000 crore. The division is straightforward: 17,64,000 over 16,00,000 is 1.1025, so the analyst writes that the Sankhya economy grew at about ten per cent, and everything downstream of that sentence, the demand assumptions, the volume forecasts, the comparisons with earlier years, inherits it.

Real growth that year was 5.00 per cent. The table the analyst used was measured at each year prices, so 5.00 points of the 10.25 were prices and only 5.00 were production. The reported growth rate is more than twice the true one, and no arithmetic error was made anywhere in the process. The failure was a reading failure: a column was taken to mean production when it meant money. Worse, the same habit reverses. In a year when real output rises 5 per cent while prices fall 5 per cent, the nominal series shows a fall of 0.25 per cent, and the same analyst would report an economy shrinking in a year it produced more than ever.

The fix costs one question and it is the same question in both directions. Before quoting a growth figure, ask which prices it is measured at. If the answer is this year prices for each year, it is a nominal series and it is answering a question about money. If the answer is one fixed base year for every year, it is real and it is answering a question about production. Both are legitimate, both get published, and only one of them is about how much was made.

The same two years, the same country, read off two different columns. THE NOMINAL COLUMN 10.25 per cent 16,00,000 to 17,64,000 THE REAL COLUMN 5.00 per cent 16,00,000 to 16,80,000 ALL 5.25 POINTS ARE PRICES NOTHING ABOUT PRODUCTION IS IN DISPUTE BETWEEN THE TWO BARS Both bars describe year 1 and year 2 of the same invented country. No arithmetic error was made in either. One column was measured at each year own prices and the other at the prices of the base year. Not one onion more was produced to account for the taller bar.
Reading the nominal column returns a growth rate more than twice the real one for the identical pair of years, and the whole of the difference is the 5.00 per cent price rise rather than anything produced.
Gross domestic product, the nominal and real distinction and employment growth are settled above. The level of output an economy could sustain when nothing is idle, and the distance between that level and what was actually produced, are treated on their own further along. Value added measured before taxes and subsidies on products is a separate measure covered in its own right. How a price level is measured, what goes into an index and how a basket is refreshed belong to inflation and prices: the deflator appeared here only as the lever that converts one series into the other. How output growth reaches a company earnings line is treated separately as well.
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Where would a reader go to check the method against a working statistical system?

Sankhya has no existence outside these figures, so the method is what is worth verifying, and for India the method is written down by three issuers. The three issuers carry the definitions, the route that produced a published total, the vintage of an estimate and the calendar on which that estimate is replaced. Any argument about a real economy takes its method and its magnitudes from the issuer.

IssuerWhat to look for thereSiteVintage
Ministry of Statistics and Programme Implementation, and the National Statistical Office within itThe national accounts, the definition sitting behind each route to the total, and which estimate of a given year is currently the live onemospi.gov.inEach year carries a first estimate and later revisions, and the release states which one is live
Reserve Bank of IndiaIts compiled statistical volumes, where output series are reproduced next to the vintage each series carriesrbi.org.inEach reproduced series carries the vintage of the release it was taken from
Ministry of FinanceThe Economic Survey, restating a year output picture in narrative form and naming the source under each of its own tablesindiabudget.gov.inEach table names the source it was drawn from

The Republic of Sankhya and the Sankhya onion market are invented.
Educational material. Not advice on any investment, tax, budget or market position.

Covered in this topic

Subtopics

Employment GrowthNominal GDP vs Real GDPGross Domestic ProductHow to read how GDP is calculated
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