I have a simple question about inflation, what an inflation rate of 10% in 2022 means if in 2021 it was 5% (for example) and 5% in 2020? Let’s say my salary is $1000 since 2020 and it didn’t change, does that mean that the value of my $1000 is $900 in 2022 (considering only the 10% rate) or it should be -20% which is $800..

Thanks !

  • 11
    The inflation rate is a measurement of how much prices have gone up over a period of time, not something that causes everyone to adjust their prices on a set date. Rates don't add. If something increased 5% in 2020 and 5% in 2021, it still increased 5% between 2020 and now.
    – chepner
    Nov 19, 2022 at 13:53
  • 2
    (Though you get into compounding, depending on exactly what you are measuring.)
    – chepner
    Nov 19, 2022 at 14:01
  • 9
    No, that's why I mentioned compounding; my first comment wasn't entirely accurate. If the price increases 5% from 2020 to 2021, and 5% again from 2021 to 2022, the overall increase from 2020 to 2022 is actually 10.25%. The 2021 price is 1.05 times the 2020 prices, and the 2022 price is 1.05 times the 2021 price. I got confused with a 5% inflation rate over the 2-year period 2020 to 2022, which would break down into an annual inflation rate of just under 2.47%.
    – chepner
    Nov 19, 2022 at 14:18
  • 5
    Anytime you see a statement like "inflation is X%", you have to know what the starting point was. "X% since 3 months ago" is very different from "X% since 10 years ago".
    – chepner
    Nov 19, 2022 at 14:20
  • 10
    @will No, they don't add. They multiply. 5% per year for two years is not 5+5 but 1.05 x 1.05 = 1.1025, that is, 10.25%. This is called "compounding". If prices go up by 5% in 2019 and by another 5% in 2020, the 5% in 2020 is 5% of what prices were in 2019, not 5% of what they were in 2018. So not only do you pay an extra 5% of the original amount, but also an extra 5% of the 5% increase from last year.
    – Jay
    Nov 19, 2022 at 21:48

1 Answer 1


Let’s say my salary is 1000$ since 2020.

OK. If a pizza costs $20 that means you can buy 50 pizzas.

what an inflation rate of 10% in 2022 means if in 2021 it was 5% (for example) and 5% in 2020

At the end of 2020 the price of pizza went up 5% to $21. Now you can but 47.6 pizzas.

At the end of 2021 it went up 5% more to $22.05 which now means you can buy 45.4 pizzas.

At the end of 2022 it will go up 10% more, that means pizza will now cost $24.25 now you can buy 41.2 pizzas. That means it is like you were only making $824 back when pizzas only cost $20.

Of course with inflation not everything goes up the same amount, and they don't go up only at the end of the year. Businesses raise prices when their costs go up, and they can no longer absorb the higher costs. Sometimes they make the pizza smaller. Or they offer you a discount if you pick it up.

Hopefully your wages will also go up, so that you can still afford your pizzas.

  • 11
    I'd change the wording here from "will go up at the end of the year" to "has gone up over the course of the year". The first way around makes it sound like inflation is driving the price changes whereas it's the other way around and inflation is just measuring what's already happening.
    – Kaz
    Nov 20, 2022 at 23:39
  • 15
    I object to "Businesses raise prices when their costs go up, and they can no longer absorb the higher costs". PG and others have openly bragged to their shareholders about their ability to raise prices unilaterally without any loss of demand or cost pressure. Prices go up when businesses can get away with it, not just when their costs go up. Nov 21, 2022 at 9:19
  • 4
    @LawnmowerMan: The assumption here is capitalism - a free market where effective competitors exist. This is relevant, because a general increase in cost will affect all competitors. PG raises prices because they reasonably believe that their competition will have to follow. But yes, PG will also raise prices if a major competitor goes bankrupt, not just in response to inflation.
    – MSalters
    Nov 21, 2022 at 10:04
  • 6
    now I'm a bit wiser and hungry..
    – iLuvLogix
    Nov 21, 2022 at 11:29
  • 3
    @user253751 we don't live in pure capitalism, no matter what brand of it you live in. So even if "capitalism" there are tons of things that exist to warp reasonable responses (IE: regulations, covid responses - lockdowns, blocked global supply chain, etc, taxes, monopolies, government interference, etc) and stuff like printing billions in response to covid lockdowns is absolutely not "capitalism" and is a large reason (Covid Lockdowns lowered products, printed money dumped money into system and created demand while keeping people from working). Tons of stuff in our "capitalism" that isn't cap.
    – WernerCD
    Nov 21, 2022 at 14:15

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