Annuity Payment Table Calculator
The Annuity Payment Table Calculator is a tool to determine the current annuity of a future amount. In this article, we share the values of the ordinary annuity table. The annuity table helps you calculate the present value of your annuity. You can calculate the present value of your annuity using the factors given in the table that is based on discount rate or interest rate, and time.
What is an Annuity Payment Table?
An annuity table is a simple tool used to calculate the present value of the annuity. The table consists of present values based on the rate of interest and time on ordinary value. By using an annuity table based on time and rate of interest and annuity payment is multiplied to find the present value using the annuity payment table.
The annuity payment table contains the precise value of payment for some interest rate and time value, which is multiplied by your present value invested to find the present value of your investment.
The Present Value of an Ordinary Annuity Table
n |
1% |
2% |
3% |
4% |
5% |
1 |
0.9901 |
0.9804 |
0.9709 |
0.9615 |
0.9524 |
2 |
1.9704 |
1.9416 |
1.9135 |
1.8861 |
1.8594 |
3 |
2.9410 |
2.8839 |
2.8286 |
2.7751 |
2.7233 |
4 |
3.9020 |
3.8077 |
3.7171 |
3.6299 |
3.5460 |
5 |
4.8534 |
4.7135 |
4.5797 |
4.4518 |
4.3295 |
6 |
5.7955 |
5.6014 |
5.4172 |
5.2421 |
5.0757 |
7 |
6.7282 |
6.4720 |
6.2303 |
6.0021 |
5.7864 |
8 |
7.6517 |
7.3255 |
7.0197 |
6.7327 |
6.4632 |
9 |
8.5660 |
8.1622 |
7.7861 |
7.4353 |
7.1078 |
10 |
9.4713 |
8.9826 |
8.5302 |
8.1109 |
7.7217 |
15 |
13.8651 |
12.8493 |
11.9380 |
11.1184 |
10.3797 |
Example:
If you have invested Rs 10000 per year for 15 years at a 4% rate of interest the present value of your annuity using the annuity payment table will be?
Solution:
You have to multiply your present investment with the value given in the annuity table for 15 years at a 4 % value to get the present value of your annuity:
Present value = 10000 * 11.1184
P = 111184 Rs
The present value of your expected annuity is 111184 Rs.
Advantages of using Annuity Payment Table
- The annuity payment table is used for finding the present value of an annuity.
- The annuity payment table is used in the lottery winning process.
- The annuity payment table also determines the individual about the steady income in retirement.
- The annuity table helps an investor in planning investment.
Present Value Annuity Table Formula
Here is the formula for calculation of the present value of an ordinary annuity:
P = PMT * 1-(1+r)-n/r
- where,P - The present value in the given formula of an annuity payment.
- PMT - Amount of Each annuity payment.
- r- the rate of interest or discount rate
- n - period for which an annuity is completed.
Annuity Table Examples
1. Suppose Meera will receive an annuity of 20,000 per year for the next 10 years, with a discount rate of 5%. Find the present annuity value of Meera’s investment?
Solution:
The formula for calculating the present value for annuity payment is given below:P = PMT *{1-(1+r)-n}/r
The value of the annuity is given the question
And the rate of interest is in percentage change it into
r% = 5% = 5/100 = 0.05
The value of r = 0.05
The time is given in the question,
By putting values in the formula of the present value of the annuity will be,
P = 20,000 * {1-(1 + 0.05)]^-10/ 0.05
P= 20000 * { 1- (1.05)}^-10/0.05
P= 20000 * (7.7217)
P = Rs. 154,434
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FAQs on Annuity Payment Table
1. How to calculate the Present Value of an Annuity using the Annuity Payment Table?
Ans: To calculate the present value of an annuity using the annuity Payment table you have to multiply the present value investing with the value given in the annuity table for a respective rate of interest and time.
2. What is the formula for the present value of an annuity?
The formula for the present value isP = PMT *{1-(1+r)-n}/r
- Where P - is the present value in the given formula of an annuity payment.
- PMT - Amount of Each Annuity payment per year
- r - the rate of interest
- N - the number of years.
3. What is an ordinary annuity Payment Table?
The Ordinary annuity payment table is a pre-calculated value of the present value of an ordinary annuity for a specific rate of interest and time.
4. What is the present value interest factor of the annuity (PVIFA)?
The present value interest factor is a factor that is used to calculate the present value of a series of annuities. In the formula, it is the pre-calculate form of the present annuity formula.PVIFA = {1-(1+r)-n}/r