Annuities Calculator ·

06 Jun 2024, 00:00

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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 1 free calculations 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.

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

Annuities Calculator

Pmt = 114.87 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.