A portfolio can finish the year with more dollars while gaining less purchasing power than its statement suggests. To understand the difference, compare the change in the investment with the change in the price of what those dollars can buy.
Start with a clearly labeled calculation
Investor.gov distinguishes nominal returns from returns that account for inflation and taxes. Here, the worked calculation isolates inflation and excludes tax. It is therefore a before-tax, inflation-adjusted illustration rather than a complete after-tax result.
A hypothetical $10,000 investment
Suppose $10,000 grows by 6% to $10,600 over one year. Over the same interval, assume the price index rises 4%. Dividing $10,600 by 1.04 gives approximately $10,192.31 in starting-period purchasing power.
The inflation-adjusted gain is about 1.92%, calculated as (1.06 ÷ 1.04) − 1. Subtracting 4% from 6% gives a useful rough approximation of 2%, but division provides the exact result under these assumptions.
A positive balance change can hide a decline
Now assume the investment gains 3% while prices rise 5%. The calculation becomes (1.03 ÷ 1.05) − 1, or approximately −1.90%. The account contains more dollars, but those dollars buy less of the assumed basket.
These scenarios are mathematical examples, not market forecasts or reported inflation readings. The inflation measure should also match the period being analyzed.
Keep four inputs visible
- Beginning and ending investment values.
- Cash added or withdrawn during the period.
- The inflation measure and its reference dates.
- Whether fees and taxes are included.
With additional deposits, simply dividing the ending balance by the beginning balance does not measure investment performance correctly. Separate saving activity from investment gains before adjusting for inflation.
For household planning, a broad price index is also not a perfect replica of personal spending. The calculation is most useful when its assumptions are explicit: which return, which basket, which period and which costs.
Source
SEC Investor.gov: Real Return.
Featured image: Photo by Madison Kaminski on Unsplash.
