Question

An animator needs a laptop for audio/video editing, and notices that he can pay $2600 for a Dell XPS laptop, or lease from the manufacturer for monthly payments of $75 each for four years. The designer can borrow at an interest rate of 14% APR compounded monthly. What is the cost of leasing the laptop over buying it outright?A) Leasing costs $116 more than buying.

B) Leasing costs $174 more than buying.
C) Leasing costs $145 more than buying.
D) Leasing costs $289 more than buying.

Answer 1

Cost of leasing over buying is $144.59

Step-by-step explanation:

For computing the cost of leasing the laptop over buying it outright, we have to calculate the present value is shown below:

Given that,

Future value = $0

Rate of interest = 14% ÷ 12 months = 1.17%

NPER = 4 years × 12 month = 48 months

PMT = $75

The formula is shown below:

= PV(Rate;NPER;-PMT;FV;type)

So, after solving this, the present value is $2,744.59

And, the buying amount is $2,600

So, the difference is

= $2,744.59 - $2,600

= $144.59