Question
1. You have just taken our a $28,000 car loan with a 6% APR, compounded monthly. The loan is for five years. When you make
1. You have just taken our a $28,000 car loan with a 6% APR, compounded monthly. The loan is for five years. When you make your first payment in one month, how much of the payment will go toward the principal of the loan and how much will go toward interest? When you make your first payment $___________ will go toward the principal of the loan and $ _________ will go toward the interest.
2. You have found three investment choices for one-year deposit: 9.4% APR compounded monthly, 9.4% APR compounded annually, and 8.7% APR compounded daily. Compute the EAR for each investment choice. (Assume the there are 365 days in the year) (Note: not to around any intermediate steps less than six decimal places) The EAR for the first investment choice is _____ % (Round to three decimal) The EAR for the second investment choice is _____ % (Round to three decimal) The EAR for the third investment choice is _____ % (Round to three decimal)
3. You have an outstanding loan with required payments of $600 per months for the next four years. The interest rate on the loan is 8% APR (compounded monthly). Now that you realize your best investment is to prepay your student loan, you decide to prepay as much as you can each month. Looking at your budget, you can afford to pay an extra $200 a monthin addition to your required monthly payments of $600, or $800 in total each month. How long will it take you to pay off the loan? (Note: not to around any intermediate steps less than six decimal places) The number of months to pay off the loan is _________ (round to two decimal)
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