Exam 22: Borrowing Models

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Karana takes out a conventional loan to purchase a car. The interest rate is 6.4% compounded monthly and Karana has 10 years to repay the $27,000 she borrowed. What are Karana's monthly payments?

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A credit card bill shows a balance due of $2500 with a monthly interest rate of 1.53%. What is the EAR?

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Suppose a student loan has an interest rate of 5% compounded monthly with monthly payments and the borrower has 10 years to repay. If $9000 is borrowed, what are the monthly payments?

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Which is a more favorable savings rate: 6% compounded monthly or 6.05% compounded quarterly?

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Your rich Uncle Ralph is willing to loan you $1000 for two years and asks that you repay your loan with annual compounding interest at the rate of 10% per year. How much will you repay after two years?

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Your rich Uncle Ralph is willing to loan you $5000 for three years and asks that you repay your loan with simple interest at the rate of 9% per year. How much will you repay after three years?

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How much would you have to invest each month in an annuity earning 4.9% monthly to earn $35,000 at the end of 20 years?

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Your Great Aunt Sally loans you $5000 for three years and asks that you repay it with annually compounding interest at the rate of 8% per year. How much do you repay her after three years?

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Which of these loan rates is most favorable? A)12% compounded annually B)11.5% compounded monthly C)11.5% compounded quarterly D)11% continuously compounded

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Which of these savings rates is most favorable?

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Which of these loan rates is most favorable?

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Find the future value of an annuity with monthly deposits of $350, made over a period of five years, with 4% interest compounded monthly.

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You invest $200 each quarter into an annuity earning 8.1% each quarter. How much do you have at the end of 20 years?

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Your Great Aunt Sally loans you $5000 for three years and asks that you repay it with simple interest at the rate of 8% per year. How much do you repay her after three years?

(Short Answer)
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If you borrow $10,000 for two years under the condition that no interest is charged for the first six months, and a quarterly compounded interest rate of 12% applies for the remainder of the period, how much interest will you pay?

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If you borrow $50,000 for three months at a monthly compounding rate of 18% per year, how much interest will you pay?

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Your rich Uncle Ralph is willing to loan you $1000 for two years and asks that you repay your loan with simple interest at the rate of 12% per year. How much will you repay after two years?

(Multiple Choice)
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Suppose a student loan has an interest rate of 5.8% compounded monthly with monthly payments and the borrower has 10 years to repay. If $35,000 is borrowed, what are the monthly payments?

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If you got a loan for $5000 at 5.54% APR compounded quarterly, what is the effective annual rate (EAR)? Use two decimal places.

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You have established an annuity plan that will accumulate to $30,000 in 10 years by investing $100 a month. If you instead invest $200 a month, what would your annuity accumulate?

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