Annuities Calculator

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For an Annuity Immediate:
Payment = 1
n = 7
Interest Rate = 3
Calculate Present Value, Accumulated Value

PV annuity immediate formula:

an\|i =	Payment * (1 - vn)
	i

Calculate v:

v =	1
	1 + i

v =	1
	1 + 0.03

v =	1
	1.03

v = 0.97087378640777

Calculate PV given i = 0.03, n = 7, and v = 0.97087378640777

a7\|0.03 =	1 * (1 - 0.970873786407777)
	0.03

a7\|0.03 =	1 * (1 - 0.81309151134335)
	0.03

a7\|0.03 =	1 * 0.18690848865665
	0.03

a7\|0.03 =	0.18690848865665
	0.03

a7|0.03 = 6.2303

AV annuity immediate formula:

sn\|i =	Payment * ((1 + i)n - 1)
	i

Calculate AV given i = 0.03, n = 7

s7\|0.03 =	1 * ((1 + 0.03)7 - 1)
	0.03

s7\|0.03 =	1 * (1.037 - 1)
	0.03

s7\|0.03 =	1 * (1.2298738654249 - 1)
	0.03

s7\|0.03 =	1 * 0.22987386542487
	0.03

s7\|0.03 =	0.22987386542487
	0.03

s7|0.03 = 7.6625

How much of AV is principal?:

Principal = Payment Amount * n
Principal = 1 * 7
Principal = 7

Calculate Interest Paid:

Interest Paid = Accumulated Value - Principal
Interest Paid = 7.6625 - 7

Interest Paid = 0.66

You have 1 free calculations remaining

What is the Answer?

Interest Paid = 0.66

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)/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

What 8 concepts are covered in the Annuities Calculator?

accumulated valueThe total value of an investment, including principal and interest accruedannuitiesannuityA stream of paymentsfuture valuethe value of a current asset at a future date based on an assumed rate of growthinterestpayment 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 rateinterest ratethe proportion of a loan that is charged as interest to the borrower or proportion of principal credit given to a depositorpresent valuethe 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 ValueprincipalThe amount borrowed on a loan, before interest is charged

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