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Banking

How To Calculate FD Maturity

A fixed deposit pays a headline rate that is not quite what you earn, because interest is compounded during the year. This calculator shows the maturity value, the interest earned and the effective annual yield for any compounding frequency.

Quick Answer

Maturity = P x (1 + r / n)^(n x t)

P
Deposit principal
r
Annual interest rate as a decimal
n
Compounding periods per year
t
Tenure in years

A one lakh deposit at 7.1 percent for five years compounded quarterly matures at about 1,42,175 rupees, of which roughly 42,175 is interest. The effective annual yield is about 7.29 percent, above the quoted 7.1 percent, because interest is compounded four times a year.

What Is FD Maturity?

A fixed deposit is a lump sum placed with a bank for a fixed term at a fixed rate. The bank pays interest for the whole tenure, and unless you choose a payout option the interest is reinvested so the deposit compounds.

The headline rate the bank quotes is a nominal annual rate. It is not the rate you actually earn, because interest is credited more than once a year and then earns interest itself.

Compounding frequency is the number of times interest is added to the balance each year. Indian banks most commonly compound fixed deposits quarterly, so there are four compounding periods a year, though monthly, half-yearly and annual options exist.

The maturity value formula is the principal multiplied by one plus the periodic rate raised to the number of periods. The periodic rate is the annual rate divided by the number of compounding periods, and the number of periods is the frequency times the tenure in years.

Because the exponent counts compounding periods rather than years, a quarterly deposit at seven percent for five years is really twenty periods at one point seven five percent each, not five periods at seven percent.

The interest earned is simply the maturity value minus the principal. It is the figure most depositors care about, and it grows faster than linearly because each interest credit is itself earning interest.

The effective annual yield converts the compounding benefit into a single annual number. It is one plus the periodic rate raised to the frequency, minus one, and it is always at least the quoted rate whenever compounding happens more than once a year.

The gap between the quoted rate and the effective yield widens with both the rate and the frequency. At seven percent the gap is small, but at higher rates and monthly compounding the difference becomes worth checking.

Compounding more often always produces a larger maturity value for the same nominal rate. Monthly compounding beats quarterly, which beats half-yearly, which beats annual, and the differences are small but real over long tenures.

A cumulative deposit reinvests the interest and pays a lump sum at maturity, which is what this calculator models. A non-cumulative deposit pays the interest out periodically instead, so the principal does not grow.

Tax on fixed deposit interest is another reason the headline rate is not the return you keep. Interest is taxed at your slab rate, and tax is deducted at source once interest crosses the threshold in a financial year, so the post-tax yield is lower than the effective yield shown here.

Comparing a fixed deposit with a recurring deposit is a useful sanity check. A recurring deposit takes monthly instalments, so each instalment earns for less time than a lump sum and the maturity value is lower for the same total outlay.

Senior citizens are often offered a higher rate, which this calculator handles simply by letting you enter that rate. Enter the rate your bank actually quotes for your category rather than the headline figure.

The calculator models the figures you enter and nothing more. It does not know the bank's day-count convention, the exact rounding of each interest credit or any tax deducted, so treat the output as an estimate and confirm the maturity value on your deposit advice.

Formula

Maturity = P x (1 + r / n)^(n x t)

The standard compound interest formula with interest added n times a year for t years.

SymbolMeaning
PPrincipal
rAnnual rate
nPeriods per year
tYears

Effective = (1 + r / n)^n - 1

Converts the nominal rate and compounding frequency into the true annual return.

SymbolMeaning
rAnnual rate
nPeriods per year

How To Calculate FD Maturity

  1. 1

    Find the periodic rate

    Divide the annual rate by the number of compounding periods. Quarterly compounding means four periods and a rate of one quarter of the annual figure.

  2. 2

    Count the periods

    Multiply the compounding frequency by the tenure in years to get the total number of compounding periods.

  3. 3

    Compound the principal

    Raise one plus the periodic rate to the number of periods and multiply by the principal to get the maturity value.

  4. 4

    Subtract the principal

    The interest earned is the maturity value minus the amount you deposited.

  5. 5

    Compute the effective yield

    Raise one plus the periodic rate to the frequency and subtract one to see the true annual return behind the quoted rate.

Examples

Example 1: 1,00,000 at 7.1 percent for 5 years, compounded quarterly

Deposit amount
100000
Interest rate (annual)
7.1%
Compounding
Quarterly
Tenure
5
StepCalculationResult
Periodic rate7.1 / 41.775
Number of periods4 x 520
Maturity value100000 x (1.01775)^20142174.67
Interest earned142174.67 - 10000042174.67
Effective annual yield(1.01775)^4 - 10.0729

Result: The deposit matures at 142174.67 for interest of 42174.67, and the effective annual yield is 0.0729, above the quoted rate.

Example 2: The same deposit compounded only once a year

Deposit amount
100000
Interest rate (annual)
7.1%
Compounding
Annually
Tenure
5
StepCalculationResult
Periodic rate7.1 / 17.1
Number of periods1 x 55
Maturity value100000 x (1.071)^5140913.33
Interest earned140913.33 - 10000040913.33
Effective annual yield(1.071)^1 - 10.071

Result: Annual compounding matures at 140913.33, so quarterly compounding added about 1261 rupees and lifted the effective yield from 0.071 to 0.0729.

Calculator

Maturity value

$142,174.67

Principal
$100,000.00
Interest earned
$42,174.67
Effective annual yield
7.29%

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

Prefer a full-width tool? Open the FD Maturity calculator page.

Common Mistakes

  • Reading the quoted rate as the return

    The nominal rate understates what you earn whenever interest compounds more than once a year. Always compare effective yields, not headline rates.

  • Ignoring the compounding frequency

    Two deposits at the same rate can mature at different values if one compounds monthly and the other annually. The frequency is part of the deal, not a footnote.

  • Forgetting tax on the interest

    Interest is taxed at your slab rate and tax may be deducted at source, so the amount you keep is below the maturity figure. The effective yield here is pre-tax.

  • Comparing a fixed deposit with a recurring deposit

    A recurring deposit takes monthly instalments, so each rupee earns for less time. A lower maturity value on the same total outlay is expected, not a worse deal.

  • Assuming you can break the deposit for free

    Premature withdrawal usually carries a rate penalty, so the maturity figure does not apply if you exit early.

  • Mixing up cumulative and payout deposits

    Only a cumulative deposit compounds to the maturity value shown. A payout deposit sends interest to you and the principal stays flat.

  • Entering the rate as a percentage of the wrong period

    The field expects the annual rate. Entering a monthly rate multiplies the result by twelve and produces a wildly inflated maturity value.

FAQ

How is FD maturity value calculated?

Maturity equals the principal times one plus the rate divided by the compounding periods per year, all raised to the number of periods times the tenure in years. Interest is the maturity value minus the principal.

Why is the effective yield higher than the quoted rate?

Because interest is credited during the year and then earns interest itself. Compounding quarterly turns a quoted 7.1 percent into an effective yield of about 7.29 percent.

Does compounding frequency really matter?

It does, though the differences are modest at typical rates. Monthly compounding beats quarterly, which beats annual, and the gap widens as the rate rises.

How does an FD differ from an RD?

An FD needs a lump sum up front and compounds for the full tenure. An RD takes monthly instalments, so each contribution earns for less time and the maturity value is lower for the same total outlay.

Is the interest taxable?

Yes. Fixed deposit interest is taxed at your slab rate, and tax may be deducted at source once interest crosses the threshold in a financial year, so the post-tax return is below the effective yield shown.

What rate should a senior citizen enter?

Enter the rate the bank actually quotes for your category. Senior citizens are usually offered a higher rate, and the calculator uses whatever rate you type.

References

  1. [1]Reserve Bank of India, Fixed deposit basics — https://www.rbi.org.in/
  2. [2]Investopedia, Compound interest — https://www.investopedia.com/terms/c/compoundinterest.asp
  3. [3]India Post, Fixed deposit maturity — https://www.indiapost.gov.in/