Future prices and the purchasing power of cash
Forward conversion multiplies the amount by the end-to-start price factor; backward conversion divides it. The price-change percentage always describes the index or scenario from start to end. In forward mode, fixed-cash value is the unchanged amount expressed in start-period purchasing power.
Once you have estimated a future purchase price, enter it into the Savings Goal Calculator to calculate the monthly contribution required to fund it.
The formula
The constant-rate scenario compounds an entered assumption. Index mode uses only the two supplied observations and their ratio; the entered year count affects the equivalent annual rate, not the endpoint conversion. Zero assumed inflation leaves amounts unchanged, and a decreasing index models a price decline.
Two years at 10% inflation
An item costing 100 today costs 121 after two years of 10% annual inflation. If you keep only 100 in non-interest-bearing cash, its buying power then is about 82.64 in today’s money. The cumulative price increase is 21%, not 20%. Two compatible example indices of 200 and 242 give the same factor of 1.21. Entering 121 as end-period money and converting backward gives 100. With two years between the observations the equivalent annual change is 10%.
How to use this calculator
- Choose an annual-rate scenario or two entered price indices and a currency label.
- Choose the conversion direction and enter the amount at the start or end of the period as labelled.
- Enter the rate and whole-year horizon, or two comparable indices and whole years between their observations.
- Read the adjusted amount, cumulative price change and equivalent annual rate. The yearly chart is available for forward scenarios.
Choose an assumption for the expense
The price of one expense can change differently from a broad consumer-price index. Tuition, rent, medical care, and a specific product may not follow the same path. For a particular goal, test a range of assumptions rather than treating one headline inflation figure as a forecast.
A nominal increase and a purchasing-power decline use different bases. A 25% rise in prices means fixed cash buys 20% less, because purchasing power is the reciprocal of the price factor. The two percentages need not be equal.
Comparable price-index observations
Use observations from one index series with the same reference base, population, basket and seasonal-adjustment treatment. A monthly value and an annual average represent different periods. The calculator does not identify those choices or fetch data for a country or year. It accepts your confirmed pair and uses its ratio.
The equivalent annual rate summarizes the endpoints over the entered whole-year interval; it does not show what happened in each intervening year. Index mode therefore displays no inferred yearly chart or table. For a partial-year interval, use the endpoint conversion with a separately calculated annualization outside this whole-year model.
Assumptions & limitations
What this calculation assumes
- Scenario mode repeats the same annual rate; index mode uses comparable observations from one series.
- The quantity and quality of the purchase stay comparable.
- The fixed-cash comparison earns no interest.
What to keep in mind
- No live or historical inflation data is loaded.
- Taxes, investment returns, exchange rates, and changing spending patterns are outside this calculation.
- No country selection or series matching. Index mode uses two endpoints and does not reconstruct intermediate years.
- The equivalent annual rate uses a whole-year interval from 1 to 100; it is an endpoint summary rather than a forecast.
Common questions
Can I compare historical prices?
Yes, by entering the corresponding start and end values from the same historical price-index series. The calculator does not load a CPI history or validate series comparability. The converted amount depends on the ratio; the whole-year interval is used for annualization.
Does my money lose its face value?
No. Inflation changes what a fixed nominal amount can buy. The number printed on the money does not change.
Sources & further reading
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