Annuities Calculator
For an Annuity Immediate:Payment = 5000n = 9Interest Rate = 10Calculate Present Value, Accumulated Value
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PV annuity immediate formula:

an|i  =  Payment * (1 - vn)
  i

Calculate v:

v  =  1
  1 + i
v  =  1
  1 + 0.1
v  =  1
  1.1
v = 0.90909090909091

Calculate PV given i = 0.1, n = 9, and v = 0.90909090909091

a9|0.1  =  5000 * (1 - 0.909090909090919)
  0.1
a9|0.1  =  5000 * (1 - 0.42409761837248)
  0.1
a9|0.1  =  5000 * 0.57590238162752
  0.1
a9|0.1  =  2879.5119081376
  0.1
a9|0.1 = 28795.1191

AV annuity immediate formula:

sn|i  =  Payment * ((1 + i)n - 1)
  i

Calculate AV given i = 0.1, n = 9

s9|0.1  =  5000 * ((1 + 0.1)9 - 1)
  0.1
s9|0.1  =  5000 * (1.19 - 1)
  0.1
s9|0.1  =  5000 * (2.357947691 - 1)
  0.1
s9|0.1  =  5000 * 1.357947691
  0.1
s9|0.1  =  6789.738455
  0.1
s9|0.1 = 67897.3846

How much of AV is principal?:

Principal = Payment Amount * nPrincipal = 5000 * 9Principal = 45000

Calculate Interest Paid:

Interest Paid = Accumulated Value - PrincipalInterest Paid = 67897.3846 - 45000

Interest Paid = 22897.38

You have 1 free calculations remaining

What is the Answer?

Interest Paid = 22897.38

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.

What 4 formulas are used for the Annuities Calculator?

PV Annuity Immediate = Pmt * (1 - vn)/iPV Annuity Immediate = Pmt * (1 - vn)/dAccumulated Value of Annuity Immediate = Pmt * ((1 + i)n - 1)/iAccumulated 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

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