For an Annuity Immediate:
PV = 3059
AV = Not needed
n = 36
Interest Rate = 1.73
Calculate Payment
PV annuity immediate formula:
| an|i = | Payment * (1 - vn) |
| i |
Multiply each side by i
| PV x i = | Pmt x (1 - vn) x i |
| i |
Cancel the i on the right side
PV x i = Pmt x (1 - vn)Divide each side by 1 - vn
| PV x i | |
| 1 - vn |
| = |
| Pmt x (1 - vn) |
| 1 - vn |
Cancel 1 - vn on the right side
| Pmt = | PV x i |
| 1 - vn |
Calculate v:
| v = | 1 |
| 1 + i |
| v = | 1 |
| 1 + 0.0173 |
| v = | 1 |
| 1.0173 |
v = 0.98299420033422
Calculate Pmt given i = 0.0173, v = 0.98299420033422, and PV = 3059
| Pmt = | 3059 * 0.0173 |
| 1 - 0.9829942003342236 |
| Pmt = | 52.9207 |
| 1 - 0.53930493958274 |
| Pmt = | 52.9207 |
| 1 - 0.46069506041726 |
Pmt = 114.87
You have 2 free calculationss remaining
What is the Answer?
Pmt = 114.87
How does the Annuities Calculator work?
Free Annuities Calculator - Solves for Present Value, Accumulated Value (Future Value or Savings), Payment, or N of an Annuity Immediate or Annuity Due.
This calculator has 5 inputs.
This calculator has 5 inputs.
What 4 formulas are used for the Annuities Calculator?
PV Annuity Immediate = Pmt * (1 - vn)/i
PV Annuity Immediate = Pmt * (1 - vn)/d
Accumulated Value of Annuity Immediate = Pmt * ((1 + i)n - 1)/i
Accumulated Value of Annuity Immediate = Pmt * ((1 + i)n - 1)/d
For more math formulas, check out our Formula Dossier
PV Annuity Immediate = Pmt * (1 - vn)/d
Accumulated Value of Annuity Immediate = Pmt * ((1 + i)n - 1)/i
Accumulated Value of Annuity Immediate = Pmt * ((1 + i)n - 1)/d
For more math formulas, check out our Formula Dossier
What 8 concepts are covered in the Annuities Calculator?
- accumulated value
- The total value of an investment, including principal and interest accrued
- annuities
- annuity
- A stream of payments
- future value
- the value of a current asset at a future date based on an assumed rate of growth
- interest
- payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum, at a particular rate
- interest rate
- the proportion of a loan that is charged as interest to the borrower or proportion of principal credit given to a depositor
- present value
- the value in the present of a sum of money, in contrast to some future value it will have when it has been invested at compound interest.
PV = FV/(1 + i)n
where I is the interest rate per period, PV = Present Value, and FV = Future Value - principal
- The amount borrowed on a loan, before interest is charged
Example calculations for the Annuities Calculator
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