How this calculator works
- Step 1List the payments120 × ₹10,000.00One a month for 10 years.
- Step 2Grow each to the end₹18,29,460.35Early payments earn interest for longer.
- Step 3Or discount each to today₹8,24,214.81What the whole stream is worth now.
An annuity is any series of equal payments at regular intervals: monthly deposits, EMIs, rent or a pension.
Worked example
120 monthly payments of ₹10,000.00 at 8% grow to ₹18,29,460.35.
- Future value
FV = P × ((1 + k)^N − 1) ÷ k- Present value
PV = P × (1 − (1 + k)^−N) ÷ k
- Ppayment each month ₹10,000.00
- krate per month 0.67%
- Nnumber of payments 120
- Total paid₹12,00,000.00
- Interest earned₹6,29,460.35
- Present value today₹8,24,214.81
- Future value₹18,29,460.35
Reading the result
- End of month (ordinary annuity)₹18,29,460.35Like loan EMIs. The last payment earns no interest.
- Start of month (annuity due)₹18,41,656.75Like rent in advance. Every payment earns one extra month.
A small change in the rate makes a large change over many payments.
- Paid in
- Interest
Related time-value tools
An annuity is a stream of equal payments. Single sums and income plans have their own tools.
For a single sum with deposits grown to a date, use the future value calculator; to discount future receipts, the present value calculator.
For a retirement income from a corpus, the pension calculator adds yearly increases, and the financial calculator solves for any one of five values.
Common mistakes
Mistake: Mixing start and end timing when comparing quotes.
Instead: Match the timing to when payments are really made.
Mistake: Using a yearly rate with monthly payments unchanged.
Instead: The rate is divided by 12 for monthly payments; the calculator does this for you.
Mistake: Reading present value as the total you will pay.
Instead: Present value is the stream’s worth today, after discounting.
This calculator shows arithmetic on your assumptions. It does not recommend any product.
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