How it works
One deposit compounds annually at the rate prevailing when the certificate is bought, over a term set in months. The term is the interesting part: it is chosen so that the multiple lands on exactly two.
At 7.5%, doubling takes ln(2) ÷ ln(1.075) = 9.584 years, which is 115.0 months. That is where the official term comes from. The scenario table above solves the same equation at other rates, so you can see the term the government would have to publish if the rate moved.
More detail
This also means the doubling is a consequence of arithmetic rather than a subsidy. KVP is not paying you more than its stated rate — it is simply quoting the same return as a duration instead of a percentage, which many people find easier to act on.
Because the term is not a whole number of years, the final row of the schedule covers seven months rather than twelve and earns proportionately less.
For the shorter alternative that also qualifies for 80C, see the NSC calculator.
To turn any doubling period back into an annual rate, use the CAGR calculator.
To compare against a bank deposit, try the fixed deposit calculator.