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3241004551 [841]
3 years ago
7

You are looking to buy a car and you have been offered a loan with an APR of 5.7 %​, compounded monthly. a. What is the true mon

thly rate of​ interest? b. What is the​ EAR?
Business
1 answer:
lukranit [14]3 years ago
5 0

Answer:

Monthly Interest rate = 0.475%

EAR = 5.85%

Explanation:

a.

APR = 5.7%

Monthly Interest rate = APR / n

Monthly Interest rate = 5.7% / 12

Monthly Interest rate = 0.475%

b.

APR = 5.7%

m = 12

EAR = [ ( 1 + (APR / m))^m] - 1

EAR = [( 1 + (0.057 / 12))^12] - 1

EAR = [( 1 + 0.00475 )^12] - 1

EAR = [( 1.00475 )^12] - 1

EAR = 1.0585 - 1

EAR = 0.0585

EAR = 5.85%

True monthly rate of​ interest is 0.475%

EAR is 5.85%

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<h2>                   Differential Analysis</h2>

                                              alternative 1      alternative 2     differential

                                              lease                 purchase          effect

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Costs:    

Purchase price                     $0                -$125,500         -$125,000

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Repair and maintenance          $0                   -$12,500           -$12,500

(5 years)    

Lease                                    -$150,000                 $0              $150,000

(5 years)    

Income / loss                       -$150,000           -$139,600           <u>$10,400</u>

Alternative 2 (purchase equipment) should be selected because it reduces costs by $10,400.

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