You need a new computer. You are considering either leasing or putting the purchase on your credit card.

The terms of the lease agreement are $250 down and a monthly payment of $100 for 12 months, with an option to purchase for $300 at the end of the lease period.

If you buy the computer now and put the purchase on your credit card, your monthly payment would be $130.00, with the credit card interest rate of 18% compounded monthly.

What is the best option? 

Respuesta :

Answer:

Since the cost of buying on credit card is less

hence, buying from credit card is best option.

Step-by-step explanation:

Given;

Terms of lease as:

$250 down

monthly payment = $100 for 12 months

cost of purchase at the end of lease period = $300

Thus,

the total cost of buying on lease terms = $250 + ( 12 × $100 ) + $300

or

the total cost of buying on lease terms = $1750

Now,

For second alternative

Monthly payment = $130.00

Duration = 12 months

Rate of interest = 18%

monthly rate of interest, r  = [tex]\frac{\textup{18}}{\textup{12}}[/tex] = 1.5% = 0.015

Now, using the compounding formula

Th total cost = [tex]\textup{Part payment}\times\frac{(1+r)^n-1}{(1+r)-1}\times(1+r)[/tex]

on substituting the values, we get

Th total cost = [tex]\textup{130}\times\frac{(1+0.015)^12-1}{(1+0.015)-1}\times(1+0.015)[/tex]

or

the total cost = $1720.78

Since the cost of buying on credit card is less

hence, buying from credit card is best option.