EDUKATE SINGAPORE · GOLD STANDARD PRACTICAL CASE STUDY 224
Slower inflation means prices can keep rising, just more slowly
A fictional school hears that annual inflation fell from five percent to two percent and reduces its supplies budget by three percent. Under the deliberately simplified successive-year example, an index of 100 rises to 105 and then 107.10. The inflation rate has fallen, but the general price level has not.
All rates, dates, prices and budget decisions here are illustrative. They are not current economic data or a forecast for a real school. The header image is an original conceptual budget illustration.
The calculation at a glance
- Baseline hypothetical index: 100.
- Year 1: +5% ⇒ 100 × 1.05 = 105.
- Year 2: +2% ⇒ 105 × 1.02 = 107.10.
- Change in inflation rate: down 3 percentage points, not down 3% in the price level.
- A fixed example basket costing 1,000 first costs 1,050 then 1,071.
- Disinflation means slower positive inflation; deflation means a negative rate for the overall price level.
Chapter navigation
- 1. A lower inflation rate is mistakenly treated as a discount
- 2. The first year raises the index from 100 to 105
- 3. Disinflation differs from deflation
- 4. An index level and a growth rate answer different questions
- 5. Translate the index into a simple supply budget
- 6. The difference between percentage points and percent changes
- 7. Why the school should not substitute CPI for an actual invoice
- 8. Slower inflation is not the same as restored purchasing power
- 9. Read the period before comparing two inflation statistics
- 10. Correct the school budget note without mocking the original reader
- 11. Classroom exercise: make rates and levels visible
- 12. A final decision with a valid denominator and source
1. A lower inflation rate is mistakenly treated as a discount
A fictional school plans next year’s supply budget after hearing a simplified economic bulletin: annual inflation declined from five percent to two percent. The administrator concludes that the price level must have fallen by three percent and reduces the amount requested for the same school supplies. The words ‘inflation fell’ are real economic language, but the budget’s conclusion does not follow.
A lower positive inflation rate means the measured overall price level is still rising, but more slowly than at the previous rate. It is not the same as an overall price decline. The missing distinction is between the rate at which something changes and the level of that thing.
The invented school may have individual supplies with lower prices, and a supplier might genuinely offer a discount. The aggregate inflation statement alone cannot establish either fact. The committee needs actual quotations for its chosen basket before assuming the required budget will shrink.
The school, country, index, basket, inflation rates and financial statements in this case are hypothetical teaching examples, not current price measurements or real budget advice. The header is a conceptual illustration about fluctuating public costs.
2. The first year raises the index from 100 to 105
Begin with an index value of 100 in a fictional baseline year. Assume the first subsequent year’s price-index change is positive five percent. The new index is 100 multiplied by 1.05, which equals 105. The price level represented by the index is higher, not lower.
Now imagine the year-after inflation rate is positive two percent. The next index becomes 105 multiplied by 1.02, which equals 107.10. It is higher than 105 by 2.10 index points, corresponding to two percent of 105. The percentage change is smaller, but the level continues rising.
The administrator’s incorrect calculation subtracts the change in rates, five minus two equals three, and reads that three as a percentage decline in prices. Five percent and two percent are each growth rates over their respective comparison periods. The difference is three percentage points of inflation rate, not a three-percent fall in the underlying level.
The Gold Standard starts from an index or a representative price, applies the correct period’s multiplier and states which quantity has increased or decreased.
3. Disinflation differs from deflation
The Federal Reserve Bank of St. Louis explanation of falling inflation rates distinguishes disinflation, a reduction in the positive inflation rate, from deflation, a negative inflation rate associated with a decline in the overall price level.
If inflation falls from five percent to two percent, the economy in this simplified example experiences disinflation. If the overall price index subsequently falls, say from 107.10 to approximately 106.03 under a hypothetical minus-one-percent annual change, that would be deflation for that period. These examples are not statements about a particular economy today.
Neither term guarantees every item’s price follows the overall direction. One grocery item may become cheaper during positive overall inflation, and a different item may become more expensive during aggregate deflation. Aggregate indices summarise many prices, not a fixed law for every product.
The school’s purchasing decision should therefore avoid two opposite errors: treating slower inflation as a general discount, and assuming no individual item can ever become cheaper while the price index rises.
4. An index level and a growth rate answer different questions
A price index can be thought of as a level describing how a specified basket or statistical measure changes over time. Its inflation rate describes the percentage change in that level across a defined comparison period, such as the past twelve months. The level and its rate of change have different units and interpretations.
In the toy example, index levels are 100, 105 and 107.10 across three years. The first annual rate is five percent and the second is two percent. A reader who looks only at the second year’s lower percentage might wrongly assume the level reversed direction. Looking at all three index values makes the continued increase unmistakable.
The US Bureau of Labor Statistics Consumer Price Index resources describe a price index used to measure changes in the prices paid by consumers and publish rates over specified periods. The BLS publishes several CPI measures and adjustments; a real analysis must use a suitable series and compare equivalent periods.
An index observation does not by itself disclose the price of a school’s actual notebooks or equipment. The school’s procurement basket may differ greatly from the consumer basket represented by a national CPI.
5. Translate the index into a simple supply budget
Assume, only for demonstration, that a fixed basket of school consumables costs 1,000 currency units at baseline and follows the toy index exactly. After a five-percent rise, the basket would cost 1,050. After a further two-percent rise, it would cost 1,071. The incremental second-year cost is 21, not a saving of 30.
The committee’s mistaken budget might apply a three-percent decrease to 1,050 and set aside 1,018.50. That would be 52.50 below the correctly compounded toy figure of 1,071. The error comes from treating a slower rate of increase as if the level had fallen, and it could lead to inadequate quantities or cuts elsewhere.
The numbers are not a forecast and do not use actual supplier prices. They hold the basket composition constant to isolate one arithmetic lesson. Real procurement requires direct quotations, contract terms, taxes, exchange rates, delivery charges, substitution possibilities and changes in quantity.
The practical review asks which assumption caused the budget difference. If the administrator had intended to forecast a supplier’s real discount, that requires a quote; an aggregate inflation headline cannot stand in for it.
6. The difference between percentage points and percent changes
Inflation falling from five percent to two percent is a reduction of three percentage points. Expressed as a relative change in the inflation rate, it is a sixty-percent decline from the initial rate, because (5 − 2)/5 = 0.60. Neither description says that the price level fell by three percent or sixty percent.
The unit ‘percentage points’ is often overlooked in headlines. It is used to describe differences between two percentages, such as a decline from five percent to two percent. By contrast, a percentage change in a price index requires a starting level and an ending level.
These distinctions become more important when many percentages appear in a budget. A school might track tax rates, inflation, supplier discounts and student participation, all measured using percentages with different denominators. Adding or subtracting them casually may create impressive-looking numbers with no defensible meaning.
The Gold Standard prints the label with the quantity: inflation rate down three percentage points; illustrative price-index level up from 105 to 107.10; school supply cost conditional on its actual quotations.
7. Why the school should not substitute CPI for an actual invoice
The consumer price index is intended to summarise defined consumer price changes, not to guarantee the movement of every school purchase. Its weights, sample and scope differ from a particular school’s list of art materials, laboratory reagents, transport contracts or food supplies.
The school might receive a lower price on paper because of a competitive tender, a bulk order or a supplier’s promotional offer, even in an economy with positive inflation. Alternatively, imported materials might cost more than the headline index suggests because of exchange rates or specialised supply constraints.
A prudent procurement worksheet therefore places the national price indicator in a context column and records item-level unit prices in its actual cost model. Quantities should be kept explicit. If the school plans to buy more books than last year, the total cost can rise even when the unit price falls.
Readers should be able to trace a budget number to a supplier, quantity, price date, tax treatment and calculation. That is more reliable than repeating a newspaper percentage without checking whether it applies to the actual transaction.
8. Slower inflation is not the same as restored purchasing power
Suppose the toy supply basket rose from 1,000 to 1,050 and then to 1,071. The slower second increase does not undo the first rise. Even though the second year’s inflation rate is lower, the level remains seventy-one currency units above its baseline.
A family whose income did not keep pace with cumulative prices may still feel strained. A school whose budget allocation stayed constant may still have to buy fewer materials. Whether either situation has improved requires comparing relevant nominal income or funding with the prices and quantities they face.
Economists often distinguish nominal amounts, stated in currency units at current prices, from real amounts adjusted for price change. A headline about reduced inflation is not sufficient to calculate a particular family’s real purchasing power or a school’s operational adequacy without other data.
Good explanation recognises that disinflation may reduce how quickly a cost burden grows while leaving past increases in place. A decision-maker can acknowledge this improvement without promising that all previous price increases have disappeared.
9. Read the period before comparing two inflation statistics
A month-over-month rate and a year-over-year rate are not interchangeable. A statement that monthly CPI fell does not necessarily mean the twelve-month rate is negative. Similarly, a decline in the twelve-month inflation rate can occur while prices still rise over the latest month.
The committee should check whether the reported five-percent and two-percent figures use the same index, geographical area, definition, seasonal adjustment approach and comparison period. If they do not, applying the two multipliers sequentially may not be meaningful.
In the fictional worked example, both figures are stipulated successive annual increases in the same simplified price measure. That condition is why 100 × 1.05 × 1.02 is the proper arithmetic. A real official statistical release may involve overlapping rolling twelve-month intervals, revised series and complex index methods.
The Gold Standard keeps the periods visible. Numbers with the same percent sign are not automatically measuring the same time interval or same underlying set of prices.
10. Correct the school budget note without mocking the original reader
A suitable correction reads: ‘The illustrative inflation rate slowed from five percent to two percent. That means the general price level rose more slowly, not that it fell. In our constant-basket example, the index moved from 100 to 105 and then to 107.10. We will use actual supplier quotations to set the next purchasing budget.’
This wording recognises that the administrator identified a genuine economic development but drew the wrong inference about the price level. It retains the useful information and replaces the unsupported purchasing conclusion. Any actual approved budget revisions should follow the school’s normal governance process.
The committee should preserve the original calculation, source bulletin, correction and updated item-level estimates. It should identify whether the error affected orders already placed, communicated commitments or assumptions in other budgets.
The Gold Standard treats a correction as an improvement to decision quality rather than a contest over who knows more economics.
11. Classroom exercise: make rates and levels visible
Give one student three index cards showing 100, 105 and 107.10. Give another two cards showing five-percent and two-percent annual inflation. Ask the class to attach each rate to the interval it describes. Then ask whether any of the three levels is below the previous one. It is not.
A second group can calculate the fictional supply basket’s costs of 1,000, 1,050 and 1,071, then test the administrator’s incorrect three-percent discount. The difference makes the risk of confusing percentages and levels tangible without requiring real family expenditure data.
Advanced learners can explore a hypothetical deflationary third year: 107.10 × 0.99 ≈ 106.03. The level falls during that third period but remains above the baseline 100. Students should be able to explain why an overall level can remain elevated even after a negative period of inflation.
The exercise transfers to interest rates, unemployment changes, growth rates and investment returns. Whenever a headline says a rate fell, ask what happened to the underlying level before making a budgeting decision.
12. A final decision with a valid denominator and source
The school should withdraw its unsupported claim that a change from five-percent to two-percent inflation means a three-percent price decrease. Its toy price index remains higher after each positive annual rate. Its real supplier costs remain unverified until the itemised purchasing evidence is collected.
The board can use the official inflation report for broad context, while its detailed operational budget should be built from required quantities and credible contemporary prices. Uncertainty belongs in the forecast, rather than being concealed through an incorrect arithmetic shortcut.
No one should infer from this invented example that prices in a named country have followed exactly these figures. The case teaches a common economic distinction and deliberately avoids replacing current official data with hypothetical values.
The Gold Standard conclusion: a falling rate of inflation can be good news about the speed of price growth, but it is not itself evidence that the price level or a particular school’s bills have declined.
Practical economic reporting and budgeting checklist
- Keep index levels distinct from their rates of change.
- Compare the same price series and time interval when discussing inflation.
- Use percentage points for differences between percentages.
- Compound successive growth rates rather than subtracting rates from an index.
- Use actual itemised supplier quotations for a real school budget.
- Label illustrative calculations and avoid claims about national prices without current verified sources.
Frequently asked questions
If inflation falls from 5% to 2%, did prices fall by 3%?
No. The inflation rate fell three percentage points. With positive 2% inflation, the overall price level still rises.
What is disinflation?
A slowdown in the rate of positive inflation. It is different from deflation, which refers to a fall in the overall price level.
Why does 100 become 107.10 after 5% then 2%?
The increases compound: 100 × 1.05 × 1.02 = 107.10.
Could some school supplies become cheaper anyway?
Yes. Individual products can fall in price while an aggregate price index rises. Actual supplier quotations are needed.
Does lower inflation guarantee families can afford more?
No. Purchasing power depends on cumulative prices alongside income, available budgets and the specific goods or services purchased.
Authoritative economic references and connected cases
- Federal Reserve Bank of St. Louis · The Inflation Rate Is Falling, but Prices Are Not
- US Bureau of Labor Statistics · Consumer Price Index
- The Gold Standard of Economics
- The Gold Standard of Macroeconomics
- Gold Standard Case 205 · GST-inclusive quotation versus added tax
- Gold Standard Case 223 · Mean response times and service experience
- Gold Standard · Core Requirements and Evidence
- Gold Standard · Practical Casebook
The St. Louis Fed and BLS resources establish general inflation terminology and index interpretation. The example uses fixed illustrative annual rates and a teaching basket. No actual current price or country-specific inflation claim is made.