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You are considering two ways of financing a spring break vacation. You could put it on your credit card, at 17% APR, compounded monthly, or borrow the money from youe parents, who want an interest payment of 6% every six months. which is the lower rate? (Dont round intermediate steps to decimal places)

Respuesta :

Parrain

Answer: Parent's rate is lower.

Explanation:

The lower rate will be the lower Effective Annual rate, the formula of which is;

[tex]EAR = (1 + interest rate/compounding frequency) ^{compounding frequency} - 1[/tex]

Credit Card

[tex]EAR = (1 + interest rate/compounding frequency) ^{compounding frequency} - 1[/tex]

[tex]EAR = (1 + interest rate/compounding frequency) ^{compounding frequency} - 1\\= ( 1 + \frac{0.17}{12})^{12} - 1\\= 0.184[/tex]

= 18.4%

From your parents

[tex]EAR = (1 + interest rate/compounding frequency) ^{compounding frequency} - 1\\= ( 1 + 0.07) ^{2} - 1\\= 0.1449[/tex]

= 14.5%

Parent's rate is lower.

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