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30 April, 06:24

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 your parents, who want an interest payment of 9 % every six months. which is the lower rate?

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  1. 30 April, 08:28
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    Credit card has slightly lower interest rate. Let's take a look at both interest rates for 1 year and see what costs more. First, the credit card at 17% apr compounded monthly. Each month, 17%/12 interest will be taken. The total interest over the year will be (1 + 0.17/12) ^12 = 1.183891728 times the original debt. Now let's look at the loan from the parents. Over 1 year, you'll be accumulating 2 interest payments. The formula for the year will be (1 + 0.09) ^2 = 1.1881 Comparing the overall rate between the credit card and the parents, the credit card is slightly lower than the parents.
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