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# Annuity calculator

This solver can calculate monthly or yearly, fixed payments you will receive over a period of time, for a deposited amount (present value of annuity) and problems in which you deposit money into an account in order to withdraw the money in the future (future value of annuity).

The calculator can solve annuity problems for any unknown variable (interest rate, time, initial deposit or regular deposits). It will also generate a detailed explanation of how the calculations were done.

Annuity Calculator - Present Value
how much money you need today to fund a series of future annuity payments
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How much money must you deposit now at 4% interest in order to be able to withdraw \$800 at the end of each month for two years? Suppose you deposited \$50 000 into a bank account in order to withdraw \$600 per month for 10 years. Find the interest rate? Suppose you deposited \$50 000 into a bank account at 6% annual interest rate. How many years you can withdraw \$2000 at the end of each year. If you deposit \$50 000 into a bank account, how much will each monthly payment be over 5 years if the rate of interest is 7% annually.
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Annuity Calculator - Future Value
how much money you need today to fund a series of future payments
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If you plan to save \$100 annually for 5 years and the annual interest rate of 12%, what is the future value? If you need \$30 000 in 10 years and you get an interest rate of 9%, how much must you invest each of the next ten years? If you want to buy a car in 5 years that costs \$2,000 and you can save \$350 per year, what interest rate would you need? How long would it take you to save \$50000 if you invested \$2000 per year, and the interest rate is 8%?
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examples
example 1:ex 1:
A deposit of $\color{blue}{\$120}$is placed into an account at the$\color{blue}{\text{beginning}}$of every$\color{blue}{\text{month}}$for$\color{blue}{8 \, \text{years}}$. The bank pays$\color{blue}{7\,\%}$annual interest rate, compounded monthly, and paid at the$\color{blue}{\text{end of the month}}$. How much is in the account after the last deposit? example 2:ex 2: How much money must you deposit now at$\color{blue}{4\,\%}$interest in order to be able to withdraw$\color{blue}{\$800}$ at the $\color{blue}{\text{end}}$ of each $\color{blue}{\text{year}}$ for $\color{blue}{\text{three}}$ years?
example 3:ex 3:
Suppose you deposited $\color{blue}{\$50 000}$into a bank account at$\color{blue}{6\%}$annual interest rate. How many$\color{blue}{\text{months}}$you can withdraw$\color{blue}{\$300}$ at the $\color{blue}{\text{end of each month.}}$
example 4:ex 4:
If you need $\color{blue}{\$\,30 000}$in$\color{blue}{\text{10 years}}$and you get an interest rate of$\color{blue}{5 \%}$, how much must you invest each of the next$\color{blue}{\text{10 years?}}\$
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