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Investment · FINANCIAL TOOLS

Kisan Vikas Patra Calculator

See what a Kisan Vikas Patra matures to, and why its odd 115-month term is set the way it is.

Understand the calculation

Calculation logic, formula, example and guardrails behind the estimate.

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.

Formula

M = P × (1 + r)^(months ÷ 12); months to double = 12 × ln2 ÷ ln(1 + r)

The second expression is the one that sets the scheme's term. It is the rule of 72 done exactly rather than approximately — the rule would give 72 ÷ 7.5 = 9.6 years, against the true 9.584.

M
Value at maturity.
P
Amount invested.
r
Annual rate, fixed at purchase.
months
Term in months — 115 at the current rate.
Worked example

₹5,00,000 invested in Kisan Vikas Patra at the current 7.5%, held for the official 115-month term.

  1. 01Term in years115 ÷ 12 = 9.583 years
  2. 02Growth multiple1.075^9.583 = 1.99985
  3. 03Value at maturity₹9,99,926
  4. 04Interest earned₹4,99,926
  5. 05Months the arithmetic needs to double115.0

The multiple is 1.99985 rather than exactly 2 — the term is published as a whole number of months, so the doubling is right to within about ₹74 on ₹5 lakh. That the two independent published figures, 7.5% and 115 months, agree to four decimal places is a useful check that neither has been misquoted.

Frequently asked questions

Common questions about the kisan vikas patra calculator and the assumptions behind it.

Disclaimer

This calculator is provided for general information and planning only. It is not investment, tax or legal advice, and it does not take your personal circumstances into account. Outputs are estimates based on the assumptions stated on this page, exclude taxes and charges unless said otherwise, and market-linked returns are not guaranteed — the value of investments can fall as well as rise. Lending terms, rates and eligibility are decided by the lender. For advice on your own situation, speak to a qualified professional, several of whom you can consult on Finvestalk.