# How To Calculate/Find Fixed Tax Deferred Annuity Payment – A Calculator with example and formula

## At The Time Of Beginning

 Time Periods (Years) Expected rate of return(%) Amount(dollars)

#### Future value of deferred annuity

[insert_php]
if(isset(\$_POST[‘submit’]))
{
\$n=\$_POST[‘value1’];//years
\$i=\$_POST[‘value2’];//rate
\$a=\$_POST[‘value3’];//Amount
\$submit=\$_POST[‘submit’];//submit

\$A5=\$i/100;
\$A6=(1+\$A5);
\$A7=pow(\$A6,\$n);
\$DA=\$a*\$A7;
//DA = ai ( 1 + i )n
echo “\$DA”;

}[/insert_php]

## Period of Payments

 Time Periods (Years) Expected rate of return(%) Amount(dollars)

#### Future value of deferred annuity

[insert_php]
if(isset(\$_POST[‘submit’]))
{
\$n=\$_POST[‘value1’];//years
\$i=\$_POST[‘value2’];//rate
\$a=\$_POST[‘value3’];//Amount
\$submit=\$_POST[‘submit’];//submit

\$A5=\$i/100;
\$A6=(1+\$A5);
\$A7=pow(\$A6,\$n);
\$A8=\$A7-1;
\$DA=(\$a*\$A8)/\$A5;
//DA = { a ( ( 1 + i )n-1)} / i
echo “\$DA”;

}[/insert_php]

## Formula of Fixed Tax Deferred Annuity Payment calculationIf investment is made at the beginning

Future value of DA = ai ( 1 + i )n

If investment is through period of payments,
Future value of DA = { a ( ( 1 + i )n-1)} / i

Where,
n = Time period
vi = Expected rate of return
va = Amount
DA = Deferred Annunity

Example of Fixed Tax Deferred Annuity Payment

Prof.Fazal Rehman Shamil (Available for Professional Discussions)
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