Calculating your present value is straightforward once you know the Present Value of Annuity formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Present Value of Annuity Calculator.
What is Present Value of Annuity?
The Present Value of Annuity calculation tells you your present value from a few simple inputs. The figure you are solving for here is the present value, expressed in INR.
The Present Value of Annuity formula
The core formula is:
Present value = Payment per period × (1 - (1 + Rate per period ÷ 100)^(-Number of periods)) ÷ (Rate per period ÷ 100)Here is what each input means:
- Payment per period — a money amount. Example: ₹1,00,000.
- Rate per period — a percentage, such as an annual rate. Example: 8%.
- Number of periods — a number. Example: 10.
How to calculate it step by step
- Write down the payment per period (for example, ₹1,00,000).
- Write down the rate per period (for example, 8%).
- Write down the number of periods (for example, 10).
- Apply the formula above to get your present value.
- Double-check the result with the Present Value of Annuity Calculator.
Worked examples
Example 1
| Input / Output | Value |
|---|---|
| Payment per period | ₹1,00,000 |
| Rate per period | 8% |
| Number of periods | 10 |
| Present value | ₹6,71,008 |
With payment per period of ₹1,00,000, rate per period of 8% and number of periods of 10, the present value works out to ₹6,71,008.
Example 2
With payment per period of ₹2,00,000, rate per period of 8% and number of periods of 10, the present value works out to ₹13,42,016.
| Result | Value |
|---|---|
| Present value | ₹13,42,016 |
Example 3
With payment per period of ₹50,000, rate per period of 8% and number of periods of 10, the present value works out to ₹3,35,504.
| Result | Value |
|---|---|
| Present value | ₹3,35,504 |
Tips for an accurate result
- Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
- Round only at the very end. Rounding inputs early can shift the final answer noticeably.
- Re-run the numbers whenever an input changes, rather than estimating from an old result.
- Annual rates must be converted to the period you are calculating for (for example, divide an annual rate by 12 for a monthly figure).
Prefer not to do the maths by hand? — the Present Value of Annuity Calculator does it instantly, for free, with the formula and a worked example built in.
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