Tuesday 5 May 2015

Lease Installment Present value

Lease Installment Present value

Lease installment are regular payment of equal amount, therefore annuity factor may be applied to calculate the present value of these installment.

Lease installment Present Value Example

Term of Lease
 4 Year
Lease Rental (paid in advance)
40,000
Rate of interest is
12%



Solution

1.    Timeline of payment

0
1
2
3
40,000
40,000
40,000
40,000

2.    Annuity Factor for Year 0

We know that annuity factor of year 0 is 1.

3.    Annuity Factor for year (1-3)
= 1- (1+i)-3
       I
= 2.40

4.    Annuity Factor for ( 0-4)

= 1+ 2.40
=3.40

5.    Present value of Lease installment

= 40,000 x 3.40

=136,000