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Because the term (1 + I/Y / 100)

-N

 in the present value annuity equations 

approaches zero as N increases, you can use these equations to solve for 
the present value of a perpetual annuity: 

•

Perpetual ordinary annuity

•

Perpetual annuity due 

The ABC Company purchased a machine that will save these end-of-year 
amounts: 

1

2

3

4

$5000

$7000

$8000

$10000

I/Y

(

) 100

÷

----------------------------

=

I/Y

(

) 100 )

⁄

----------------------------

+

=