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Fiscal, Revenue and Primary Deficit Compared

The three deficits are three cuts of the same gap. The fiscal deficit is everything the government must borrow. The revenue deficit is the part of that borrowing which funded day to day spending rather than assets. The primary deficit is the fiscal deficit with interest on past borrowing taken out. The remainder shows what this year's decisions cost as against what earlier years already committed.

Two things have to be in place before the arithmetic starts. The first is an account for the Republic of Sankhya, an invented country used here for teaching. The Sankhya account was set out earlier with one gap named in it: Rs 1,00,000 crore, the amount that had to be borrowed. Nothing was taken apart at that point. The second is the output measure, the single total that everything the economy produced in the year adds up to. For Sankhya that total is Rs 17,47,200 crore. Every percentage in this guide sits on that denominator, so a figure of 5.72 or 0.57 has a known total below the line.

Now comes the taking apart. One gap, three ways of cutting it, and the three cuts answer different questions. The same set of books yields three statements: how much was borrowed, what the borrowing bought, and how much of it this year actually chose.

Why does one account give three different deficits?

Here is the picture to hold on to before any arithmetic. There is one account. The account has money coming in and money going out, and going out is bigger. The difference between the two is the gap, and there is only one gap.

Consider a household. A salary comes in. Money goes out on rent, groceries, school fees, the electricity bill, the interest on a loan taken three years ago to build an extra room, and, this month, on a new water tank for the roof. If the household spent more than it earned, it had to find the difference somewhere. The shortfall is one number. But different people would ask different things about it. The bank lends the difference, so the bank wants to know how much had to be found. A parent wants to know whether the extra went on the water tank still standing on the roof or on groceries long since eaten. And the household itself wants to know how much of the shortfall came from choices made this month. The interest bill was fixed the day the loan was taken, and nothing anybody did this month could have changed it.

Three different questions are being asked about one shortfall, and the three deficits are exactly those three questions asked of a government account. The three deficits are not three separate facts about the economy. All three are readings of a single gap, so a movement in any one of them can only be read against the other two.

Sankhya's account for the year runs as follows.

The Sankhya account, year threeRs crore
Direct tax1,20,000
Indirect tax1,50,000
Non-tax receiptsMoney the government takes in that is not a tax: dividends from holdings, fees charged for services, interest on loans it has itself made, and charges for licences.30,000
Revenue receipts, what came in without borrowing3,00,000
Interest on past borrowing90,000
Other revenue spending2,40,000
Capital spendingSpending that ends in something lasting beyond the year in which it was paid for: a road, a bridge, a school building, a piece of equipment. It is set against revenue spending, which is used up as it happens.70,000
Total spending4,00,000

Three rows of spending, one total of receipts. Taking the receipts away from different combinations of those three spending rows is what produces the three measures. One subtraction, done three ways, produces all three measures.

ONE ACCOUNT, THREE CUTS. ALL FIGURES Rs CRORE WHAT CAME IN Direct tax1,20,000 Indirect tax1,50,000 Non-tax30,000 Revenue receipts3,00,000 WHAT WENT OUT Interest90,000 Other revenue spending2,40,000 Capital spending70,000 FISCAL REVENUE PRIMARY counts these counts these counts these spending counted 4,00,000 3,30,000 3,10,000 less what came in 3,00,000 3,00,000 3,00,000 Rs 1,00,000 Rs 30,000 Rs 10,000 A filled circle means the row is counted in that cut, and a hollow circle means it is left out. All three cuts subtract the same Rs 3,00,000 crore of receipts.
Three deficits taken off one account by counting different spending rows against the same receipts, which is why a change in one can only be read against the other two.
Try it out

A government's account for the year lies open. What does the fiscal deficit measure?

What is the fiscal deficit, and what does it oblige?

Take everything the government spent and take away everything that came in without creating a liability. On the Sankhya account that is Rs 4,00,000 crore out against Rs 3,00,000 crore in, so the answer is Rs 1,00,000 crore. Set beside Sankhya's output of Rs 17,47,200 crore, that gap is 5.72 per cent.

Notice the phrase doing the work: came in without creating a liability. Taxes do that. Fees and dividends do that. A non-debt capital receiptMoney arriving as a capital item without creating a liability, such as the sale proceeds of something the government held, or the repayment of a loan it made earlier. Borrowing brings money in too, but borrowing leaves an obligation behind. does that too, though the Sankhya account has none, and the absence of such receipts is what makes the identity between the three deficits exact. Borrowing does not. Borrowing brings money in and leaves an obligation behind it. So the fiscal deficit is not really a measure of anything abstract. The fiscal deficit is a bill, and a bill is an amount somebody has to be persuaded to lend.

The fiscal deficit is the borrowing the year requires, so it is the number that adds to what the government already owes. The borrowing requirement is why the fiscal deficit is the figure a lender, a rating body or anyone pricing government paperThe instruments a government issues when it borrows, held by banks, insurers, pension funds and others, and traded between them afterwards. How such an instrument is priced belongs to fixed income and is not worked out here. looks at first. The fiscal deficit is a flow: one year's addition. The debt stockThe whole amount of borrowing outstanding at a point in time, as against the fresh borrowing of a single year. One is a level and the other is a flow, and adding this year's flow is how the level moves. it adds to is a level, and how that level is measured and when it starts to matter belongs to the outstanding stock of government borrowing.

THE FISCAL DEFICIT IS THE OVERHANG Total spending Rs 4,00,000 crore Revenue receipts Rs 3,00,000 crore the gap Rs 1,00,000 crore, and it has to be borrowed That is 5.72 per cent of output of Rs 17,47,200 crore. It is one year's borrowing, not the amount already outstanding, which is a separate figure and a separate question. Bars are to scale. Every figure belongs to the invented Republic of Sankhya.
Rs 4,00,000 crore going out against Rs 3,00,000 crore coming in leaves Rs 1,00,000 crore that somebody has to be persuaded to lend.
Try it out

Total spending is Rs 4,00,000 crore and revenue receipts are Rs 3,00,000 crore. What is the fiscal deficit?

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What does the revenue deficit show that the fiscal deficit hides?

The fiscal deficit gives how much was borrowed. The fiscal deficit says nothing whatever about what the borrowing went to. Two governments can borrow the identical Rs 1,00,000 crore, one of them to build power lines and one of them to pay pensions, and the fiscal deficit will not tell them apart. The revenue deficit is the cut that does.

Split the spending into two kinds. Revenue spending gets consumed inside the same year it is paid: salaries, pensions, subsidies, the running cost of an office, and the interest bill. Capital spending ends in something that outlasts the year: a road, a bridge, a school. On the Sankhya account, revenue spending is the interest of Rs 90,000 crore plus other revenue spending of Rs 2,40,000 crore, so Rs 3,30,000 crore. Set that against revenue receipts of Rs 3,00,000 crore and the revenue deficit is Rs 30,000 crore. Against output that is 1.72 per cent.

Back to the household for a moment. Borrowing to buy a water tank leaves, at the end of the year, a debt and a water tank. Borrowing to buy groceries leaves a debt, and the groceries are gone. In both cases the debt is identical and the interest is identical. The difference is what stands on the other side of the debt. Borrowing that funded consumption spendingSpending used up in the year it happens: wages, pensions, subsidies, fuel, the electricity bill of an office. Consumption spending buys something real and leaves no item behind that can be pointed at afterwards. leaves nothing behind, and borrowing that funded an asset leaves the asset, and the revenue deficit makes precisely that distinction where the fiscal deficit cannot.

Now the hard part, and it is where most readers overreach. The revenue deficit does not say the asset was worth building. A road that nobody drives on is capital spending. A bridge to a place with no reason to go there is capital spending. The measure sorts spending by the accounting head it sits under, not by whether it was any use. The revenue deficit answers what kind of spending, and only what kind. Whether the thing was worth doing is a judgement that needs evidence the account does not contain.

SAME BORROWING, DIFFERENT RESIDUE BORROWED, SPENT ON CONSUMPTION Rs 1/- borrowed spent on wages, fuel At the end of the year what remains: nothing the obligation and its interest This is what the revenue deficit counts. BORROWED, SPENT ON AN ASSET Rs 1/- borrowed spent on a road At the end of the year what remains: the road the obligation and its interest This is what the revenue deficit leaves out. Both sides leave the identical obligation. Only the residue differs. The revenue deficit says which of the two the borrowing went to. It does not say whether the road was worth building.
One rupee of borrowing leaves nothing behind and the other leaves the asset, and the revenue deficit says which without saying whether it was worth building.
Try it out

What does the revenue deficit show that the fiscal deficit does not?

Why is interest stripped out to get the primary deficit?

The third cut asks a question the first two cannot. Of everything the government had to borrow this year, how much of it followed from what this year's ministers actually decided?

Look at the interest line. Rs 90,000 crore is due on borrowings raised in earlier years. Nobody sitting in the finance ministry this year chose that figure. The figure was fixed when the money was raised, by the amount raised and the terms it was raised on. The interest line is debt serviceThe yearly cost of carrying borrowings already taken: the interest falling due on them, and where a repayment is due, that as well. The obligation was fixed when the money was raised, so debt service is met before anything else is decided., and it goes out before a single new decision gets made. A government could cancel every road, freeze every salary and abolish every subsidy, and the Rs 90,000 crore would still be due.

So take it out. Fiscal deficit of Rs 1,00,000 crore less interest of Rs 90,000 crore leaves Rs 10,000 crore. Against output that is 0.57 per cent, and the residue is the primary deficit.

Interest is the price of decisions already taken, and no government can unmake it in the year it is sitting in, so what remains once it is removed is the part of the borrowing that this year's own choices produced. Separating the inherited from the chosen is the entire reason the measure exists, and the primary deficit is the only one of the three that even attempts the separation.

Two cautions, both worth carrying. Stripping interest does not make it stop existing. The money leaves. Nobody is pretending it does not. And the primary deficit answers a different question, so it cannot be quoted as a nicer version of the fiscal deficit when the fiscal deficit is uncomfortable. The borrowing still comes to Rs 1,00,000 crore.

TAKING INTEREST OUT OF THE BORROWING The fiscal deficit, Rs 1,00,000 crore, drawn once and then split Interest, Rs 90,000 crore The primary deficit, Rs 10,000 crore Fixed in earlier years by how much was raised and on what terms. This year's ministers cannot change it, so it says nothing about this year. What is left, 0.57 per cent of output, is closer to what this year chose. Drawn to scale. Taking interest out of the measure does not take it out of the account: the Rs 90,000 crore still leaves.
Nine tenths of the borrowing is the interest bill, and the primary deficit is the sliver that remains once that inherited cost is set aside.
Try it out

Why is interest taken out of the fiscal deficit to arrive at the primary deficit?

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What does a primary deficit of 0.57 beside a fiscal deficit of 5.72 establish?

The whole comparison turns on one point, and the point comes down to a single sentence.

Sankhya's fiscal deficit is 5.72 per cent of output. Its primary deficit is 0.57 per cent. The whole distance between those two numbers, 5.15 percentage points of output, is interest on borrowing taken in earlier years. Put in rupees rather than shares: of the Rs 1,00,000 crore Sankhya must borrow this year, Rs 90,000 crore of it is going straight back out as interest on what it borrowed before. Ninety per cent of the new borrowing is servicing the old.

Almost the whole of the borrowing is to pay interest on past borrowing, and that is a single arithmetic fact with no verdict attached to it.

Read that sentence carefully. There is a strong pull to add something to it, and the sentence is complete without the addition. The arithmetic fact does not say Sankhya is in trouble, and it does not say Sankhya is fine. It does not say the borrowing is too high, or that the interest bill is unsustainable, or that anything must now be done. Whether the interest bill is too large is a different question altogether. The answer needs things the account cannot supply: where the money goes and whether it will produce anything, how fast the economy is likely to grow, at what cost the government can keep borrowing, who is lending and for how long, and what people in the country want their government to be doing. Every one of those is a separate enquiry, and several are questions about preferences rather than arithmetic.

The contrast redirects attention. If almost all of the borrowing is interest, then a change in the interest bill matters far more to next year's fiscal deficit than a change in any single spending programme, simply because of the sizes involved. And a reader who quotes the 5.72 alone has described the borrowing without once mentioning that nine tenths of it was committed before the year began. Naming the interest share is not a verdict either, only a more complete description.

THE THREE, AS SHARES OF OUTPUT Fiscal deficit 5.72 Revenue deficit 1.72 Primary deficit 0.57 All of this stretch is interest on past borrowing 5.15 points of output, or Rs 90,000 crore of the Rs 1,00,000 crore borrowed Bars are to scale, taken against Sankhya's output of Rs 17,47,200 crore. The picture states an arithmetic fact and carries no assessment of it.
The primary deficit is one tenth the size of the fiscal deficit, and everything between the two is interest on borrowing taken in earlier years.
Try it out

The primary deficit is 0.57 per cent of output and the fiscal deficit is 5.72. What does the gap between the two consist of?

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What does the fiscal deficit less capital spending actually give?

One more move on the Sankhya numbers. The fiscal deficit of Rs 1,00,000 crore less the capital spending of Rs 70,000 crore comes to Rs 30,000 crore, exactly the revenue deficit.

A reader is very tempted to treat the match as a confirmation. Two different routes, the same answer, so the account must be right. Stop there. The reading is wrong, and wrong in a way that keeps reappearing.

The relationship is an identity: it holds by construction whenever there are no non-debt capital receipts, so it confirms nothing at all and is not a cross-check. The reason, in one line of algebra written out in words. The fiscal deficit is total spending less receipts. Total spending is revenue spending plus capital spending. So the fiscal deficit is revenue spending plus capital spending less receipts. Subtracting capital spending from that leaves revenue spending less receipts, the definition of the revenue deficit. The second route is the first route rearranged. The second route could not have come out differently.

The identity can be seen rather than taken on trust. Whatever figure in the Sankhya account is changed, both sides move together, every single time. Raising capital spending raises the fiscal deficit by the same amount that is then subtracted. Cutting the receipts raises both the fiscal deficit and the revenue deficit by exactly what was cut. Halving the interest lowers both by exactly the same amount. There is no setting of the account, however wrong, in which the two sides disagree. The test is not looking at the account at all, so an account with a transposed digit in it, an account with a whole programme left out and an account made up outright would all pass it.

So what is it good for? Something narrower, and worth saying precisely. The rearrangement establishes that the borrowing exceeded capital spending by Rs 30,000 crore. Rs 30,000 crore of what Sankhya borrowed this year funded day to day running rather than anything that lasts. The statement is a real one about the account, and it happens to be the statement the revenue deficit already made. The rearrangement is a way of seeing the revenue deficit from the borrowing side rather than from the spending side. The rearrangement is a different view of one fact, not a second fact.

AN IDENTITY, NOT A CHECK: BOTH SIDES ALWAYS MOVE TOGETHER Whatever figure in the account is changed, the left column and the right column come out equal in every setting, because the second is simply the first one rearranged. FISCAL LESS CAPITAL REVENUE BALANCE The published account fiscal deficit Rs 1,00,000 crore = Rs 30,000 cr deficit Rs 30,000 cr deficit Capital spending raised to Rs 1,10,000 crore fiscal deficit Rs 1,40,000 crore = Rs 30,000 cr deficit Rs 30,000 cr deficit Revenue receipts down to Rs 2,40,000 crore fiscal deficit Rs 1,60,000 crore = Rs 90,000 cr deficit Rs 90,000 cr deficit Interest down to Rs 30,000 crore fiscal deficit Rs 40,000 crore = Rs 30,000 cr surplus Rs 30,000 cr surplus Bars carry the size only. The word beside each one carries the direction. There is no setting in which the two sides disagree, so agreement establishes nothing. What it does show: borrowing exceeded capital spending by the revenue deficit, so that much of it funded running costs.
Fiscal deficit less capital spending is the revenue deficit by construction, so the two sides can never disagree and their agreement proves nothing.
Try it out

Fiscal deficit less capital spending comes to the revenue deficit exactly: Rs 1,00,000 crore less Rs 70,000 crore is Rs 30,000 crore. Is that a cross-check on the account?

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How do all three come off the same account in one pass?

All three cuts sit in one table, so every subtraction stands beside the other two. The middle column is the sum being done and the right column is what it comes to.

The cutWhat is being subtracted from whatRs croreShare of output
Fiscal deficitTotal spending 4,00,000 less revenue receipts 3,00,0001,00,0005.72 pc
Revenue deficitRevenue spending 3,30,000 less revenue receipts 3,00,00030,0001.72 pc
Primary deficitFiscal deficit 1,00,000 less interest 90,00010,0000.57 pc
The identityFiscal deficit 1,00,000 less capital spending 70,000, the revenue deficit rearranged and not a check on it30,0001.72 pc

Every share in that last column is taken against the same output figure of Rs 17,47,200 crore, and only a common denominator lets the three be set beside each other at all. Down the rupee column stand the three sentences that matter: Sankhya had to borrow Rs 1,00,000 crore, Rs 30,000 crore of that borrowing funded day to day running, and only Rs 10,000 crore of it followed from this year's own decisions. The three sentences are the whole of it.

Play with it

Move the account yourself and watch all three cuts move.

The calculator opens at the published Sankhya account, giving Rs 1,00,000 crore, Rs 30,000 crore and Rs 10,000 crore. Four controls move the receipts and each of the three spending rows. Every bar redraws from the zero line, so a deficit runs to the right and a surplus runs to the left. The thin bar under the fiscal bar is the interest bill on the same scale: when it nearly fills the fiscal bar, almost all of the borrowing is servicing old borrowing, and when it overshoots the fiscal bar the account is in primary surplus. The band at the bottom recomputes the identity on every change, and it is labelled as an identity because it can never come out unequal.

Revenue receipts, what comes in without borrowing:
Revenue receipts: Rs 3,00,000 crore
And set the three spending rows:
Or jump to a setting worth looking at:
THREE CUTS OF ONE ACCOUNT, ON A SHARED SCALE Every figure is held in whole Rs crore, and no sign is ever printed: the word deficit or surplus carries the direction instead.
Fiscal deficit
Rs 1,00,000 cr
Fiscal, share of output
5.72 pc
Revenue deficit
Rs 30,000 cr
Revenue, share of output
1.72 pc
Primary deficit
Rs 10,000 cr
Primary, share of output
0.57 pc
Interest, share of the borrowing
90.00 pc
Sankhya must borrow Rs 1,00,000 crore, which is 5.72 per cent of output. Of that borrowing, Rs 90,000 crore goes straight out as interest on earlier borrowing, so 90.00 per cent of it is servicing the old. Day to day running ran Rs 30,000 crore ahead of receipts, so that much of the year was funded by borrowing rather than earned. Set interest aside and what this year decided comes to a deficit of Rs 10,000 crore, or 0.57 per cent of output.
An identity, not a check. The fiscal balance is a deficit of Rs 1,00,000 crore. Capital spending of Rs 70,000 crore taken off it leaves a deficit of Rs 30,000 crore, and the revenue balance is a deficit of Rs 30,000 crore. Move anything above and both sides move together, because the second is the first rearranged.
Educational illustration. The Republic of Sankhya and every figure in this panel were written for teaching. The account has no non-debt capital receipts in it, and that absence is what makes the identity exact. Shares of output are taken against the published Rs 17,47,200 crore and shown to two decimal places.
Reading an Annual Report Fast teaches you to get to the three things that matter in a two hundred page document.

Which of the three should be read first?

All three, in a fixed order. The answer sounds like a dodge until it becomes clear that each of the three answers a question the others physically cannot.

The fiscal deficit comes first, and it settles a question of fact that everything else depends on: how much money has to be raised from lenders this year. For a bank treasuryThe desk inside a bank that manages its own funding and its own holdings of instruments, as distinct from the parts of the bank that lend to households and businesses. working out how much government paper is coming to market, or a lender looking at how much competition there will be for savings, this is the number that matters and the other two are commentary. The fiscal deficit is also the flow that adds to what is already outstanding.

The revenue deficit comes next, and it establishes what the borrowing bought. Rs 30,000 crore of Sankhya's Rs 1,00,000 crore went on running costs, so a tenth of a year's borrowing has left nothing standing. The capital half is the part that turns into orders for somebody, so an equity analyst looking at whether a government will keep ordering steel, cement and equipment cares about the split rather than the total.

The primary deficit comes last, and it establishes how much of the borrowing this year's decisions produced. Sankhya's Rs 10,000 crore against a fiscal deficit of Rs 1,00,000 crore says that almost everything being borrowed was committed before anyone sat down to decide anything.

The household version is the same three questions. How much had to be arranged this month. Whether the extra went on the tank or on the groceries. And how much of the shortfall was the loan instalment that could not have been touched anyway. A reader who quotes one of the three has described a third of an account and will be confidently wrong the moment somebody asks a question the other two answer.

THREE QUESTIONS, NOT THREE NUMBERS READ FIRST Fiscal deficit How much has to be borrowed this year? Rs 1,00,000 crore The amount lenders have to be found for. THEN THIS Revenue deficit What did the borrowing actually buy? Rs 30,000 crore went on running costs and left nothing standing. AND THEN THIS Primary deficit How much of it did this year actually decide? Rs 10,000 crore The rest was committed before the year began. Quoting one of the three describes a third of an account. All three come off the same books and none of them can answer the other two questions.
How much was borrowed, what the borrowing bought, and how much of it this year decided, which are three questions rather than three numbers.
Try it out

Sankhya's revenue deficit is Rs 30,000 crore, so that much of the borrowing funded day to day spending. Does that establish that the capital spending was worth doing?

Try it out

A reader quotes Sankhya's fiscal deficit of 5.72 per cent of output and stops there. What have they missed?

The failure: treating the identity as a confirmation

An analyst is checking a set of published government accounts. She takes the fiscal deficit, subtracts the capital spending, gets the revenue deficit to the rupee, and writes in her note that the two independent routes agree, so the figures reconcile. Everyone downstream reads that as a verification. Her note is not a verification, and nothing was verified.

The mistake is not arithmetic. Her arithmetic is perfect. The mistake is that she counted two routes where there is only one relationship, written twice. The fiscal deficit already contains capital spending inside it, so pulling capital spending back out returns her to the revenue spending side of the account, the very side the revenue deficit came from in the first place. Feed the same working a set of accounts with a transposed digit, a missing programme or figures made up outright, and it will agree just as neatly. The working never looked at the account.

The fix is to say what the rearrangement shows rather than what it confirms. The rearrangement shows that borrowing exceeded capital spending by the revenue deficit, so that much of the borrowing funded consumption rather than assets. The sentence is a real and useful one about Sankhya, and it makes no claim to have checked anything.

The general rule is worth carrying elsewhere. Before anything is called a cross-check, a confirmation or an independent route, ask whether the two routes are the same relationship rearranged. A route that cannot possibly disagree has confirmed nothing. A genuine check needs a second source of information, not a second arrangement of the first. Somebody counting the stock in the warehouse is a check on the stock ledger. Adding up the ledger a second time is not.

Where this sits in India

Where would an Indian reader find these three figures?

The three deficits are presented for the Union government in the Union Budget, the annual statement of proposed receipts and spending laid before Parliament by the Ministry of Finance, and its accompanying documents set out the definitions used. After a year closes, its accounts go to the Comptroller and Auditor General of India, whose reports set what was genuinely received and spent against what had been authorised. The Reserve Bank of India publishes material on the market through which government borrowing is raised. The definitions and the presentation are revised from time to time, so the definition in force and the figure that goes with it both come from the document itself.

Reading the budget document itself, narrowing a deficit and what that costs, and measuring the outstanding stock of government borrowing are each taken up separately. Government borrowing pushes bond yields, and how a bond is priced is set out under Indian markets and instruments. Whether any of the three deficits is too large is not something arithmetic settles.
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Where would a reader go for a real set of deficit figures rather than an invented one?

Each row below names a body and the kind of material it puts out, and a figure describing a real government is found in that material. Two bodies can publish the same-sounding measure on different definitions, so the definition sitting beside a figure is read before the figure itself.

BodyWhat it puts outSite
Ministry of FinanceThe Union Budget, the yearly statement of proposed receipts and spending laid before Parliament, in which the three deficit measures are presentedindiabudget.gov.in
Ministry of FinanceDepartmental material setting out the heads under which receipts and spending are classified, the place where the definition behind a deficit figure is fixedfinmin.nic.in
Comptroller and Auditor General of IndiaAudit reports on the accounts of the Union, where a closed year is tested rather than proposedcag.gov.in
Reserve Bank of IndiaPublished material on the market through which government borrowing is raisedrbi.org.in
National Statistical OfficeThe output measure that every deficit share is divided by, without which a share of output has no meaningmospi.gov.in

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

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