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Deflation and Disinflation: Falling Prices Against Slowing Inflation, and Why the Difference Matters

Deflation is the general price level falling, so a rupee buys more this year than last. Disinflation is inflation slowing while prices are still going up, just more slowly than before. The two words sound like variants of one another and describe opposite situations for anyone carrying a debt. The difference is worth insisting on.

Work it out

Naming the year from the figures on a price release

The fields take one number for each line read off the release. The panel builds the price level up from the printed rate, checks that build against the index the release itself prints, names what the year was, and carries the same two index readings through to a fixed rupee borrowing. The panel opens on the Republic of Sankhya, an invented economy. Every figure in it illustrates a mechanism rather than measuring anywhere.

From the price index release
Index numbers table, the base period row, the one the whole series is set against.
Same table, the row dated one year before the latest row.
Same table, the latest row. Copy every decimal it prints.
The rate of inflation table, the period one before the latest.
The rate of inflation table, the latest period.
From the papers to hand
Loan statement, the principal outstanding line.
Salary statement or Form 16 for that year, the gross annual figure.
Salary statement or Form 16 for the latest year, the gross annual figure.
A bill or household ledger for that month.
Drive it somewhere and watch the wording change:
Building the level up from the printed rateFigure
Index one year before the latest106.700
What the printed rate for the latest period adds to itadds 2.134 index points
Index that build implies108.834
Index actually printed in the release108.834
Difference between the build and the printnil, the two are identical
Reconciles exactly. The index built from the printed rate and the index printed in the release are the same number, so the rate and the two index rows are describing one and the same year.
What each of the two quantities didFigure
Rate printed for the period before6.70 per cent
Rate printed for the latest period2.00 per cent
So the rate wentdown 4.70 percentage points
And the level wentup 2.00 per cent
The word for this year
DISINFLATION
The rate went down 4.70 percentage points and the level went up 2.00 per cent. The index moved from 106.700 to 108.834 while the printed rate moved from 6.70 per cent to 2.00 per cent. A falling rate with a rising level has exactly one name, and prices rose throughout it.
THE TWO QUANTITIES SIDE BY SIDE, REDRAWN FROM THE FIELDS ABOVE
The sentence written from the rate alone

Inflation has fallen from 6.70 per cent to 2.00 per cent, so costs will come down this year.

THIS DOES NOT FOLLOW. THE LEVEL WENT UP.
The sentence written from the level

The index went from 106.700 to 108.834, up 2.00 per cent. A basket that cost Rs 4,000/- a year ago costs Rs 4,080/- now, a rise of Rs 80/-. A basket priced at Rs 100/- then is priced at Rs 102.00/- now.

What the same two index readings do to an amount owedFigure
Amount owed, unchanged in rupeesRs 10,00,000/-
What that debt is worth in base period rupees, a year agoRs 9,37,207/-
What that debt is worth in base period rupees, nowRs 9,18,831/-
So the real burdeneased by Rs 18,376/-
Owed as a multiple of income, a year ago1.8744
Owed as a multiple of income, now1.8377
Income in base period rupees, a year agoRs 5,00,000/-
Income in base period rupees, nowRs 5,00,000/-
The income moved exactly as the index did, so measured in base period rupees it is unchanged at Rs 5,00,000/-. That is an entered assumption rather than a finding: real incomes follow the price level loosely and late.
Educational illustration. Every figure attached to the Republic of Sankhya illustrates a mechanism rather than measuring one. Any rate entered is an assumption. Money is held in whole rupees inside the arithmetic and rounded once for display; the index is carried at whatever precision is entered and never compounded from a rounded figure. Direction is carried by a word rather than by a sign, which rules out a doubled sign or a minus placed against nil. Colour in the drawing above means one thing only: green marks a price level that rose and red marks one that fell.

Left on its opening figures the instrument works one year of the Republic of Sankhya. An index of 106.700 a year ago and 108.834 now, a rate of 2.00 per cent printed for the latest period against 6.70 per cent for the period before, a borrowing of Rs 10,00,000/- and an income that went from Rs 5,33,500/- to Rs 5,44,170/-. Since 106.700 multiplied by 1.02 is 108.834, the build reconciles exactly. The rate came down 4.70 percentage points and the level went up 2.00 per cent. The panel names that year disinflation. The Rs 10,00,000/- owed is worth Rs 9,37,207/- in base period rupees a year ago and Rs 9,18,831/- now, so the real burden eased by Rs 18,376/-, and a basket that cost Rs 4,000/- costs Rs 4,080/-. The rest of this guide works with those figures.

The confusion comes from two different quantities reported in the same sentence. One is the price levelA single number standing in for what a whole basket of goods and services costs, usually written as an index against a chosen starting year., the number for how much things cost. The other is the rate, a measure of how fast that level is changing. A rate can fall while the level it describes keeps climbing, the way a train slowing down is still moving away from the station. Almost every reader who gets this wrong has read a fall in the rate as a fall in the level.

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What is deflation?

Deflation is a sustained fall in the general price level. Not a fall in the price of onions, not a fall in the price of televisions, but a fall in the broad measure that stands for what a basket of goods and services costs. If the indexA number that tracks how a whole group of prices has moved since a chosen base year, which is set to 100 so later readings are easy to compare. that measures the Republic of Sankhya reads 108.83 one year and 107.75 the next, Sankhya has had deflation. A rupee at the end of that year buys about 1.01 per cent more goods than it did at the start.

Notice what moved in that sentence: the level. Deflation means the level of prices went down, and nothing about a rate has to be mentioned at all to say it. A household in Sankhya paying Rs 4,000/- a month for its groceries and paying Rs 3,960/- for the same basket a year later has felt deflation, whatever any published rate happened to say that year.

Individual prices fall all the time without any of this being involved. Tomatoes crash after a good harvest. A four year old phone model gets cheaper every quarter. Because deflation is about the general level, none of that counts. The general level is dominated by everything else in the basket while those individual items move.

Try it out

Sankhya publishes an index that reads 108.83 at the end of one year and 107.75 at the end of the next. In terms of the price level, what has happened?

What is disinflation, and how is it different from deflation?

Disinflation is inflationA broad and lasting climb in what a basket of goods and services costs, so the same money buys less as the years pass. The causes of a climb like that are a separate subject. slowing down. Prices are still rising. Prices are simply rising less quickly than they were rising before. In the Republic of Sankhya, a headline rate of 6.70 per cent in one year followed by 2.00 per cent in the next is disinflation. Nothing in that pair of numbers is a fall in prices. Both are positive. Both describe a level that went up.

Now do the arithmetic that readers skip. Skipping it is where the whole error lives. Start the index at 100.00. A year at 6.70 per cent takes it to 106.70. The next year at 2.00 per cent multiplies 106.70 by 1.02 and takes it to 108.83. The rate fell by 4.70 percentage points and the price level ended 2.00 per cent higher than it started, so disinflation is a slowdown in a rise and never a fall. Somebody who heard that inflation had come down and expected their grocery bill to come down with it has been handed a bill that is 2.00 per cent larger.

The everyday version is a scooter going up a hill. In the first year it climbs fast. In the second the rider eases off and it climbs slowly. The rider has slowed and the scooter is still further up the hill. Slowing down is a statement about speed; being further up the hill is a statement about position. Disinflation is the first. Deflation is going back down.

THE SAME TWO YEARS, READ TWICE: THE RATE AND THE LEVEL THE RATE, IN PER CENT A YEAR nil 8.00 6.70 2.00 first year second year FELL THE LEVEL, AS AN INDEX 105.00 110.00 106.70 108.83 first year second year ROSE Scale starts at 105.00, not nil, so the rise is readable. Read the printed numbers, not the bar heights. SAME TWO YEARS. THE RATE FELL 4.70 POINTS AND THE LEVEL ROSE 2.00 PER CENT. THAT IS DISINFLATION.
Across one pair of Sankhya years the inflation rate drops from 6.70 per cent to 2.00 per cent while the index climbs from 106.70 to 108.83, which is a slowdown in the rise rather than any fall in prices.
Try it out

Sankhya inflation is reported at 6.70 per cent one year and 2.00 per cent the next. Did prices fall?

Where do the two sit on a single axis of price movement?

Put everything a price level can do on one line and the confusion resolves itself: rising fast, rising slowly, not moving, falling. The four positions cover every case, and each describes where the level is going rather than how it got there.

Sort them and the words attach cleanly. Rising fast is inflation. Rising slowly is inflation. Not moving is the nil boundary, where neither word applies. Falling is deflation. Only two of those four positions are inflation and only the last is deflation. Disinflation is a movement from one position toward another, and a movement is not a position. Disinflation also cannot be read off a single year. Comparing one rate against the rate before it takes two years.

Disinflation is a move leftward along that axis, from rising fast to rising slowly, and it can keep going until it reaches the nil boundary. The move can carry on past the nil boundary, and at the moment the rate crosses nil the economy has stopped disinflating and started deflating. The two are neighbours on a path rather than synonyms. Neighbours on a path are easy to muddle.

FOUR THINGS A PRICE LEVEL CAN DO, AND WHERE EACH WORD LANDS DISINFLATION: A MOVE, NOT A PLACE INFLATION: THE LEVEL IS RISING rising fast rising slowly not moving falling rate 6.70 per cent rate 2.00 per cent rate nil rate minus 1.00 per cent THE NIL BOUNDARY DEFLATION TWO POSITIONS ARE INFLATION. ONE IS THE NIL BOUNDARY. ONE IS DEFLATION. DISINFLATION IS THE ARROW BETWEEN THEM.
Laid out on one axis, two of the four positions are inflation, one is the nil boundary where the level does not move, one is deflation, and disinflation is the arrow running between positions rather than any position itself.
Try it out

The Sankhya index goes from 106.70 to 108.83 over one year. Is that inflation or disinflation?

Can an economy have disinflation and rising prices at the same time?

Yes, and it is the ordinary case rather than a curiosity. Disinflation is rising prices, by definition. A rate that is falling but still positive describes a level that is still going up. There is no version of disinflation in which prices are not rising. The question sounds like a paradox only because the word disinflation has the word deflation hiding inside it, and the ear supplies a meaning the arithmetic never had.

An economy in disinflation is an economy whose prices are rising, and the only thing that has slowed is the speed of the rise. Sankhya at 6.70 per cent and then 2.00 per cent is in disinflation for the whole of that second year while its price level sets a new high in every single month of it. The two statements do not compete: one is about the rate, one is about the level.

Try it out

A reader asks whether an economy can be in disinflation and have rising prices at the same time. What is the accurate reply?

What does the Sankhya price level actually do across four years?

Definitions settle nothing until the level is walked alongside the rate, so here is the walk. Start the index at 100.00 in year 0. Apply the headline rate of 6.70 per cent and year 1 closes at 106.70. Apply 2.00 per cent and year 2 closes at 108.83. Apply minus 1.00 per cent and year 3 closes at 107.75.

The rate column falls in every year: 6.70, then 2.00, then minus 1.00. The level column rises, rises, and only then falls. The rate fell three years running and the level went up in two of those three. The mismatch between those two columns is the entire distinction between disinflation and deflation.

YearRate appliedIndex at year endWhat the level didThe word for it
Year 0starting point100.00the basenothing yet
Year 16.70 per cent106.70rose 6.70 per centinflation
Year 22.00 per cent108.83rose 2.00 per centdisinflation, and prices still rose
Year 3minus 1.00 per cent107.75fell 1.00 per centdeflation

One arithmetic warning about that table, of the sort that quietly corrupts a spreadsheet. The levels are computed by compoundingApplying each year's growth to the result of the previous year rather than to the original starting figure, so the effects multiply instead of adding. the full precision figures and rounded only for display. Year 2 is really 108.834 and year 3 is really 107.74566, displayed as 107.75. Applying minus 1.00 per cent to the displayed 108.83 instead gives 107.74, adrift on the index and further adrift on every rupee figure built from it. Rounding belongs at the end, never in the middle.

THE LEVEL ON TOP, THE RATE UNDERNEATH, THE SAME FOUR YEARS Republic of Sankhya, invented. Index set to 100.00 in year 0. 110 105 100 99 100.00 106.70 108.83 107.75 year 0 year 1 year 2 year 3 THE RATE APPLIED TO EACH MOVE, IN PERCENTAGE POINTS nil 6.70 2.00 minus 1.00 INFLATION level rose to 106.70 DISINFLATION level still rose, to 108.83 DEFLATION level fell, to 107.75 The rate falls in all three moves. The level rises in the first two. That mismatch is the subject of this guide.
Walking the Sankhya index across four years shows the rate falling in every move while the level still rises in two of the three, which is exactly where disinflation stops and deflation begins.
The relationship
Index at year end = Index at year start × (1 + the rate for that year)
Index at year startWhere the price level already sat, carried forward at full precision from the previous year
the rate for that yearThe inflation reading for that year written as a decimal, so 6.70 per cent is 0.0670 and minus 1.00 per cent is minus 0.0100
Index at year endWhere the price level sits afterwards, which is the number that says what things cost
What it says in wordsThe rate does not describe the level. The rate is the multiplier applied to the level, so a positive rate of any size leaves the level higher than it started and only a negative rate can bring the level down. That single multiplication is why a falling rate and a rising level sit together comfortably.
India

Where India publishes the series a reader would check this against

In India, the National Statistical Office under the Ministry of Statistics and Programme Implementation compiles the consumer price index, the Reserve Bank of India carries long price series in its Handbook of Statistics on the Indian Economy, and the Ministry of Finance narrates the year in the Economic Survey. The series are available at source, each with the vintage printed beside it.

Why is falling prices treated as a problem rather than a relief?

Because two mechanisms run underneath it, and both work against the household that is supposed to be enjoying the cheaper prices. Neither mechanism is obvious from the price tag. Deflation feels like good news for exactly as long as it takes to think it through.

The first mechanism is deferred spendingPutting off a purchase already planned, usually because the same thing is expected to be cheaper later.. If a household expects a washing machine to cost less in six months, waiting is rewarded. Waiting is rewarded for the neighbours too. So the shop sells fewer washing machines, cuts its price to move stock, and confirms exactly the expectation that made everyone wait. Nobody is behaving strangely; everybody is behaving sensibly given what they expect. Falling prices reward waiting, waiting reduces buying, and less buying pushes prices down further.

The second mechanism is more mechanical and does not depend on anybody expecting anything. A debt is fixed in rupees, so when the rupee gets stronger the debt gets heavier without a single term of the agreement changing. A household with a loan of Rs 10,00,000/- and an income that moves with the price level finds that its income shrinks in a deflation while the Rs 10,00,000/- does not shrink at all.

TWO REASONS A FALLING PRICE LEVEL IS NOT SIMPLY GOOD NEWS ONE: WAITING GETS REWARDED prices are expected to fall further the purchase gets put off fewer goods are sold sellers cut prices to move stock and the loop closes on itself Everyone in the loop is behaving sensibly given what they expect, which is what makes the loop hard to argue anybody out of. TWO: THE DEBT DOES NOT SHRINK WHAT IS OWED, YEAR AFTER YEAR Rs 10,00,000/- same width next year, and the year after THE INCOME THAT HAS TO SERVICE IT before the price level falls after the price level falls The top bar never moves. The bottom bar does. No clause was rewritten. Widths are schematic. ONE MECHANISM NEEDS PEOPLE TO EXPECT SOMETHING. THE OTHER WORKS WHETHER THEY DO OR NOT.
Deferred spending needs an expectation to get going, while the fixed rupee debt tightens on its own, so the second mechanism operates even where nobody is predicting anything at all.
Try it out

Name the two mechanisms that make a falling price level a problem rather than a relief.

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What happens to a debt of Rs 10,00,000/- when prices fall?

The debt gets heavier, and nothing about it changes to make it so. Take a Sankhya household carrying a nominal obligationAn amount owed that is written in a fixed number of rupees, so the figure on the agreement stays the same no matter what happens to what a rupee buys. of Rs 10,00,000/-. Assume an income of Rs 5,00,000/- a year in year 0 that moves exactly with the price index: if the index rises 6.70 per cent the income rises 6.70 per cent, and if it falls 1.00 per cent the income falls 1.00 per cent. The assumption that income tracks the index exactly is a simplification. Real incomes track the price level loosely, late and unevenly.

Now watch the real burdenWhat an amount owed is worth in terms of goods rather than in rupees, found by dividing the rupee figure by the price index so that different years can be compared. move. Dividing the Rs 10,00,000/- by the index against the year 0 base restates the debt in year 0 rupees. In year 0 that is Rs 10,00,000/-. By the end of year 1 the index is 106.70 and the debt is worth Rs 9,37,207/-. By the end of year 2 the index is 108.83 and it is worth Rs 9,18,831/-. Then deflation arrives, the index drops to 107.75, and the debt climbs back to Rs 9,28,112/-. The household repaid nothing and borrowed nothing, and its debt got Rs 9,281/- heavier in real terms the moment the price level fell.

YearIndexIncome, tracking the indexDebt owed, in rupeesDebt in year 0 rupeesDebt as a multiple of income
Year 0100.00Rs 5,00,000/-Rs 10,00,000/-Rs 10,00,000/-2.0000
Year 1106.70Rs 5,33,500/-Rs 10,00,000/-Rs 9,37,207/-1.8744
Year 2108.83Rs 5,44,170/-Rs 10,00,000/-Rs 9,18,831/-1.8377
Year 3107.75Rs 5,38,728/-Rs 10,00,000/-Rs 9,28,112/-1.8562

The fourth column is the one to stare at: it never moves. Everything else in the table shifts around a constant Rs 10,00,000/-, and the whole household experience of that debt getting lighter and then heavier comes from those other columns. Across years 0 to 2 the real burden fell by Rs 81,169/-. In year 3 alone it rose by Rs 9,281/-.

THE SAME RUPEES OWED THROUGHOUT. THE WEIGHT OF THEM MOVES. WHAT IS OWED, UNCHANGED IN EVERY YEAR Rs 9,10,000/- Rs 10,00,000/- Rs 9,37,207/- Rs 9,18,831/- Rs 9,28,112/- deflation year: it climbs again year 0 year 1 year 2 year 3 The scale starts at Rs 9,10,000/-, not nil, so the movement is readable. Read the printed figures, not the heights. SANKHYA IS INVENTED. THE INCOME IS ASSUMED TO TRACK THE INDEX EXACTLY. Real incomes follow the price level loosely and late, so that is a simplification. Real burden eased by Rs 81,169/- across years 0 to 2 and tightened by Rs 9,281/- in year 3.
Holding the borrowing at Rs 10,00,000/- while the index moves shows the real burden easing through two years of rising prices and tightening again the moment the level falls.

One honest caution about checking that table twice

Treating the last two columns as two independent confirmations of the same finding is tempting. The two columns are not independent. The debt in year 0 rupees is Rs 10,00,000/- divided by the index. The debt as a multiple of income is Rs 10,00,000/- divided by an income that is itself Rs 5,00,000/- multiplied by that same index. One is the other divided by a constant Rs 5,00,000/-. Two rearrangements of one expression will always agree, and their agreement confirms nothing, so the only thing worth checking here is the index itself. A real second check would have to come from somewhere else, such as a different measure of the price level.

Try it out

A Sankhya household owes Rs 10,00,000/- and the price level falls, with its income moving in step with the level. What happens to the burden of that debt?

Does inflation do the same thing in reverse?

Inflation does the same in reverse, and seeing the mechanism run both ways stops the deflation story sounding like a complaint about one condition. Under inflation, an income that moves with the price level grows while a debt fixed in rupees stands still, so the borrower repays with rupees worth less than the rupees borrowed. Value has moved from the lender to the borrower. Under deflation the identical mechanism runs the other way. Deflation moves value to lenders and inflation moves value to borrowers. Neither direction is fair or unfair. Both are a fixed rupee obligation behaving as it must when the rupee itself changes.

The Sankhya table shows both directions in one place, and three years are the fewest that can show both. Across years 1 and 2 the real burden fell by Rs 81,169/-, and that Rs 81,169/- did not evaporate: it is value the lender no longer gets in real terms. In year 3 the direction reverses and Rs 9,281/- goes back the other way. Nobody negotiated either transfer, and the agreement said Rs 10,00,000/- throughout.

Lenders are not helpless in the face of this. A lender who expects the rupee to lose value asks for a higher rate at the outset, compensation for the expected change built into the price of the loan. The higher rate works only to the extent the change was expected. The transfer that surprises people is the part nobody priced.

ONE MECHANISM, TWO DIRECTIONS, NOBODY SIGNING ANYTHING DEFLATION: THE LEVEL FELL BORROWER income shrinks LENDER rupees buy more value Sankhya year 3: the real burden of the same Rs 10,00,000/- rose by Rs 9,281/-. THE LENDER GAINS IN REAL TERMS. INFLATION: THE LEVEL ROSE BORROWER income grows LENDER rupees buy less value Sankhya years 1 and 2: the real burden of the same Rs 10,00,000/- fell by Rs 81,169/-. THE BORROWER GAINS IN REAL TERMS. NEITHER DIRECTION IS FAIR OR UNFAIR. BOTH ARE WHAT A FIXED RUPEE OBLIGATION DOES WHEN THE RUPEE ITSELF CHANGES.
The transfer between borrower and lender runs in whichever direction the price level moves, so deflation and inflation are one mechanism seen twice rather than two separate stories.
Try it out

Prices fall across a year while a fixed rupee loan runs unchanged. In real terms, who gains?

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Why is reading the rate instead of the level a costly habit rather than a pedantic one?

Because the rate is a statement about the change in the change, and almost nothing a household or a lender needs to decide depends on that. Costs depend on the level. The buying power of a salary depends on the level. Whether a debt got heavier depends on the level. The rate matters as an input to the level rather than as a substitute for it, and treating it as a substitute produces conclusions that are exactly backwards.

The difference between a smaller rise and a fall is not a fine point of vocabulary: it is the difference between paying more and paying less, and every plan built on the wrong one is built on a sign error. Somebody budgeting a household on the belief that costs will come down, when costs are going up by 2.00 per cent, will be short. Somebody lending against the belief that a borrower income will keep growing with prices, when the price level has turned down, has mispriced the risk in the direction that hurts. The habit that prevents both: before saying anything about what things cost, find the level.

Try it out

Why is insisting on the level rather than the rate a practical habit rather than a pedantic one?

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What does a lender actually watch when prices move?

Not the inflation rate on its own. The rate tells a lender very little about any particular borrower. A lender watches whether the borrower revenue moves with the price level while the borrowing does not. The gap between the two is where the risk sits in either direction. A trader whose selling prices move with the general level and whose loan is fixed in rupees is comfortable in inflation and exposed in deflation. A salaried borrower on a contract renegotiated every three years has an income fixed for a while too, and is exposed for most of that period whichever way the level went.

The same reading applies to a business. A credit assessor looking at a Sankhya trading firm with Rs 10,00,000/- of fixed rate borrowing asks how much of the firm revenue reprices with the general price level, and how quickly. A firm selling on annual contracts reprices slowly. A vegetable wholesaler reprices daily. Neither is better; they sit at different points on the same exposure, and a fall in the price level lands on the slow repricer hardest and lasts longest there.

An analyst asks the paired question about the other side of the balance sheet. Cash and fixed rupee receivables gain in real terms when the level falls and lose when it rises, the mirror image of the borrowing. The useful question is never whether prices are rising or falling but which of a firm claims and obligations are fixed in rupees and which move with the level. The framing survives both conditions. No rule of thumb attached to one of them does.

Play with it

Set three years of rates and watch the level and the rate move together.

The panel opens on the Republic of Sankhya exactly as the table above has it: 6.70 per cent, then 2.00 per cent, then minus 1.00 per cent, producing an index of 100.00, 106.70, 108.83 and 107.75, and a Rs 10,00,000/- borrowing whose real burden runs Rs 10,00,000/-, Rs 9,37,207/-, Rs 9,18,831/- and Rs 9,28,112/-. Moving any rate redraws the level line, the rate bars and the naming strip at once. The naming strip is the point of the panel. The strip reads each year in words, and a year where the rate fell and the level still rose is labelled disinflation rather than inferred. Dropping year 2 to 0.10 per cent leaves the level barely moving while the word stays disinflation. Pushing it to minus 3.00 changes the word while the level finally turns down.

Set it to a case and read the naming strip:
MOVE ANY RATE. THE LEVEL LINE, THE RATE BARS AND THE NAMING STRIP ALL REDRAW.
The rates run 6.70, then 2.00, then minus 1.00 per cent, and the index runs 100.00, 106.70, 108.83 and 107.75. Year 2 is disinflation: the rate fell from 6.70 per cent to 2.00 per cent and the level still rose, from 106.70 to 108.83. Year 3 is deflation: the rate went below nil and the level fell, from 108.83 to 107.75. The Rs 10,00,000/- owed never changes, and measured in year 0 rupees the burden eases to Rs 9,18,831/- by the end of year 2 and tightens back to Rs 9,28,112/- in year 3.
Index at end of year 1
106.70
Index at end of year 2
108.83
Index at end of year 3
107.75
Real burden, end of year 1
Rs 9,37,207/-
Real burden, end of year 2
Rs 9,18,831/-
Real burden, end of year 3
Rs 9,28,112/-
Years the rate fell
2
Years the level rose
2
Level over the whole run
up 7.75 per cent
Educational illustration. Every figure attached to the Republic of Sankhya illustrates a mechanism rather than measuring one. The income behind the real burden is assumed to track the index exactly, a simplification: real incomes follow the price level loosely and late. Money is held in whole rupees inside the computation, and the index is carried at full precision and rounded to two decimals only for display, never compounded from a rounded figure. Any number that can be negative is rounded on its size before the minus sign is put back, so a value landing exactly on a half does not drift toward nil.
THE SENTENCE THAT GETS WRITTEN, AND THE INDEX FOR THE SAME PERIOD THE NOTE THAT WENT OUT TO THE HOUSEHOLD Inflation has fallen from 6.70 per cent to 2.00 per cent, so costs will come down this year. THE FIRST CLAUSE IS TRUE. THE SECOND DOES NOT FOLLOW FROM IT. THE INDEX ACROSS EXACTLY THE PERIOD BEING DESCRIBED AS A FALL 106.70 108.83 start of the period end of the period Scale truncated. Read the printed figures. UP 2.00 PER CENT A BASKET COSTING Rs 100/- AT THE START OF THAT PERIOD COSTS Rs 102/- AT THE END.
The sentence about a falling rate is accurate and the conclusion drawn from it is not, because the index for that very period rose from 106.70 to 108.83.

The error that gets made, and what it costs

Somebody reads that inflation has fallen from 6.70 per cent to 2.00 per cent and writes to a household saying its costs will come down. The first half of that sentence is accurate. The second half is the opposite of what happened. Across exactly the period being described as a fall, the Sankhya index went from 106.70 to 108.83, so the household basket costs 2.00 per cent more, and a basket priced at Rs 100/- at the start is priced at Rs 102/- at the end.

The cost is not embarrassment. The cost is a budget short by the amount of a rise that was described as a fall, and the shortfall repeats every month until somebody checks. The same error made by a lender produces a repayment schedule sized against income that was expected to stretch further than it does.

The fix is one habit and it takes a few seconds. Read the level, not the rate, before saying anything about what things cost. If only the rate is published, do the multiplication yourself and write the level down beside it.

The causes of a general rise in prices are explained separately, as is the comparison between the consumer index, the wholesale index and the deflator. Which of those measures decides whether an economy is in either condition belongs with that comparison. Any response to deflation or to disinflation is a matter of policy, and policy is covered on its own.
Revenue reprices with the level, the borrowing does not. See what a lender watches.

Where to go and read the price statistics yourself

Issuing bodyWhat it puts outSite
National Statistical Office, under the Ministry of Statistics and Programme ImplementationThe consumer price index series, and the methodology notes that describe how its basket is assembledmospi.gov.in
Reserve Bank of IndiaThe Handbook of Statistics on the Indian Economy, which carries long runs of price series in one placerbi.org.in
Ministry of FinanceThe Economic Survey, whose chapter on prices narrates how a year of price movement unfoldedindiabudget.gov.in

The Republic of Sankhya is invented.
Educational material. Not advice on any investment, tax, budget or market position.

Covered in this topic

Subtopics

Disinflation
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