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A graphic designer needs a laptop for​ audio/video editing, and notices that they can elect to pay for a Dell XPS​ laptop, or lease from the manufacturer for monthly payments of each for four years. The designer can borrow at an interest rate of ​% APR compounded monthly. What is the cost of leasing the laptop over buying it​ outright?

Sagot :

Based on the information given, the cost of leasing the laptop over buying it​ outright will be $399.06.

The following can be gotten from the complete information:

Monthly payment required for lease= 79

Time in months = 4 years = 4 ˣ 12 = 48

Interest rate =7% = 0.07

The Monthly interest rate (i) will be:

= 0.07/12= 0.00583

Then, the present value of the lease will be calculated. This will be:

= [79 × (1-(1/(1+0.00583⁴⁸)] / 0.00583

= 3299.06

Therefore, the cost of leasing over buying will be:

= present value of lease - cost of buying

= 3299.06 - 2900

= $399.06

Therefore, the correct option is $399.06.

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