Financial Case Studies

Why Are Prices Still High When Inflation Is Falling?

Start with a hypothetical basket priced at 100, then examine official U.S. CPI, PCE and Taiwan CPI history to separate inflation, accumulated price changes and purchasing power.

01 · Inflation and prices

Inflation is cooling. Why does breakfast still cost more?

When headlines say inflation has fallen from its peak, it is easy to expect menus and everyday goods to return to their old prices. But prices rising more slowly and prices actually falling are different questions. One concerns the pace of change; the other concerns the price level.

Start a hypothetical basket at 100 currency units. A 5% rise followed by another 2% rise gives 105 × 1.02 = 107.10. A lower inflation rate in the second year does not return the basket to 100. Change the assumptions below to see the distinction.

Exercise 1: slower increases or lower prices?

Teaching assumptions, not official CPI observations or an actual product quote.

DateAnnual changeBasket price
Start—100.00
End of year 15.0%105.00
End of year 22.0%107.10
End of year 31.0%108.17

The final basket costs 108.17, a cumulative change of 8.17%. Compare each year’s rate with the ending level.

02 · Historical data

The same history, viewed through two different lenses

Year-over-year inflation compares this month with the same month a year earlier, so the comparison base matters. Rebasing an index to a common starting value of 100 instead shows the relative change accumulated since that starting month. Both views are valid, but they answer different questions.

This fixed historical window runs from January 2020 through December 2024. Move the observation month and look for a period when annual inflation had fallen but the rebased index remained above its starting point. U.S. CPI, PCE and Taiwan CPI have different scopes; a common scale does not make their definitions identical.

Are you looking at a rate or a level?Common starting month: 2020/01 = 100
Official history | Year-over-year inflation (%)
-4%0%4%8%12%20202021202220232024Month | 2020–2024
Chart data
ObservationU.S. CPIU.S. PCETaiwan CPI
2020/012.49%1.79%1.86%
2020/022.33%1.69%-0.20%
2020/031.54%1.17%-0.02%
2020/040.33%0.46%-0.97%
2020/050.12%0.49%-1.21%
2020/060.65%0.76%-0.74%
2020/070.99%0.92%-0.51%
2020/081.31%1.16%-0.33%
2020/091.37%1.28%-0.58%
2020/101.18%1.19%-0.26%
2020/111.17%1.19%0.09%
2020/121.36%1.33%0.04%

Sources: BLS, BEA and DGBAS. Fixed historical window; PCE is seasonally adjusted and both CPIs are not. Rebasing compares relative changes, not living-cost levels across countries.

U.S. CPI

Year over year
2.97%
Level, start = 100
118.27
Month over month
0.32%

The annual inflation rate changed by -1.08 percentage points from the previous observation.

Annual inflation has slowed, while the price level remains above the common starting point.

U.S. PCE

Year over year
3.35%
Level, start = 100
115.24
Month over month
0.23%

The annual inflation rate changed by -0.75 percentage points from the previous observation.

Annual inflation has slowed, while the price level remains above the common starting point.

Taiwan CPI

Year over year
1.75%
Level, start = 100
106.22
Month over month
0.11%

The annual inflation rate changed by -0.27 percentage points from the previous observation.

Annual inflation has slowed, while the price level remains above the common starting point.

03 · Disinflation and deflation

Cooling does not undo earlier price increases

If an index rises from 100 to 110 and then from 110 to 112, the second increase is smaller while the level is higher. A slowing inflation rate is usually called disinflation. A decline in an aggregate price index over the relevant comparison period, with negative inflation, is a different idea: deflation.

Individual prices need not move together. Some products may become cheaper while some services become more expensive. CPI summarizes a particular weighted consumption basket; it is not an exact copy of every household’s shopping bill. A one-month decline alone also does not establish a sustained, broad decline in prices.

04 · Real purchasing power

A bigger paycheck does not always buy more

A 3% pay increase sounds better than no increase. Yet if prices rose cumulatively by 20% over the same period, that nominal gain may still lag living costs. Real purchasing power compares the pay change with the price change, rather than asking only whether the paycheck increased.

The next exercise is a separate teaching simulation. Set pay growth and price growth over the same comparison period and use one currency throughout. These are not official wage observations, and no U.S. and Taiwan currency amounts are mixed.

Exercise 3: did pay keep up with prices?

All three inputs are user assumptions for the same period, not official wage data. No currency conversion is performed.

Nominal pay / budget
30,900.00
Real purchasing power at starting prices
25,750.00

Real purchasing power changes by -14.17%. Divide by the cumulative price change rather than simply subtracting two percentages.

05 · Comparing indicators

Why CPI and PCE do not tell exactly the same story

U.S. CPI-U tracks prices for a basket faced by urban consumers. The PCE price index covers consumption by U.S. residents and purchases made on their behalf, including some healthcare paid by employers or government. Scope, weights and index construction differ, so two inflation measures are not interchangeable.

Taiwan CPI reflects local household consumption patterns and DGBAS methods. Here, U.S. PCE is seasonally adjusted and both CPI series are not; annual rates always use observations from the same underlying series. Rebasing to 100 compares relative cumulative changes, not absolute living costs across countries.

06 · Key points

Key points

First ask whether the chart shows a rate or a level. Falling inflation and a rising price index can occur together, while an individual product may move differently from the aggregate.

To understand pressure on a household budget, consider accumulated price increases, the household’s own spending and nominal income over the same period—not just the latest annual inflation rate. The data and everyday experience may simply be answering different questions.

Frequently asked questions

Does lower inflation mean deflation?

No. A positive rate falling from 5% to 2% still means a higher aggregate index over the comparison period. A negative rate means the index declined over that period.

Can a common base of 100 compare living costs across countries?

No. It removes different original index bases and shows relative cumulative changes. It does not price an identical international basket or account for exchange rates.

Why does my spending rise differently from CPI?

Household weights, location, purchase timing and product choices differ. An aggregate index cannot exactly represent each personal bill.

Sources and methodology

  • U.S. CPI · CPI-U, All items, U.S. city average · CUUR0000SA0
  • U.S. PCE · Table 2.8.4, line 1: Personal consumption expenditures price index · DPCERG · T20804-M
  • Taiwan CPI · 消費者物價基本分類指數:總指數 · PR0101A1M · 總指數 · 原始值

Displayed window: 2020/01–2024/12, with 2019 observations retained to calculate annual rates. Common base: 2020/01. Source files checked on 2026/10/23. This is a fixed historical snapshot, not the latest available observation from each publisher.

Annual inflation = (this month’s index / the year-earlier index − 1) × 100%; rebased level = this month’s index / the 2020/01 index × 100. Missing observations remain missing rather than becoming zero or being interpolated.

U.S. CPI · Not seasonally adjusted

CPI-U, All items, U.S. city average · CUUR0000SA0 · Original reference base: 1982–84 = 100

Official source data

U.S. PCE · Seasonally adjusted

Table 2.8.4, line 1: Personal consumption expenditures price index · DPCERG · T20804-M · Original reference base: 2017 = 100

Official source data

Taiwan CPI · Not seasonally adjusted

消費者物價基本分類指數:總指數 · PR0101A1M · 總指數 · 原始值 · Original reference base: 2021 = 100

Official source data

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