Exam 22: Borrowing Models

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You invest $100 each quarter into an annuity earning 8% each quarter. How much do you have at the end of 30 years?

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You invest $20 each month into an annuity earning 9.2% each compounded monthly. How much do you have at the end of 15 years?

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What would be the monthly payment on an add-on loan from a credit union at 8% over 48 months for the principal of $5000?

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Which is a more favorable savings rate: 4.5% compounded monthly or 4.6% compounded annually?

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How much would you have to invest each month in an annuity earning 7.4% monthly to earn $15,000 at the end of 10 years?

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You can afford monthly payments of $250, and you find a car dealer offering a 3.9% annual rate compounded monthly on a 5-year loan. Rounded to the nearest $100, what is the most expensive car you can afford?

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Find the future value of an annuity with monthly deposits of $75, made over a period of five years, with 9.8% interest compounded monthly.

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Your Great Aunt Sally loans you $1000 for seven months and asks that you repay it with simple interest at the rate of 1% per month. How much do you repay her after seven months?

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If college tuition increases by 4% per year, how does your fourth-year tuition compare with your first-year tuition?

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May takes out a conventional loan to purchase a car. The interest rate is 6.8% compounded monthly and May has six years to repay the $10,000 she borrowed. What are May's monthly payments?

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Find the future value of an annuity with monthly deposits of $150, made over a period of 10 years, with 5% interest compounded monthly.

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Which is more costly: paying 2.5% simple interest for a six-month loan or paying 2.4% monthly compounding interest for six months?

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Your rich Uncle Ralph is willing to loan you $50,000 for five years, so long as you pay interest each month. He asks for a simple interest rate of 24% per year. How much will you pay each month?

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How much would you have to invest each month in an annuity earning 6% monthly to earn $40,000 at the end of 30 years?

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Find the future value of an annuity with monthly deposits of $250, made over a period of 30 years, with 6.1% interest compounded monthly.

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A credit card bill shows a balance due of $750 with a minimum payment of $15 and a monthly interest rate of 1.62%. What is the EAR?

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Which of these savings rates is most favorable?

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How much would you have to invest each month in an annuity earning 6% monthly to earn $50,000 at the end of 30 years?

(Short Answer)
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When applying for a loan of the amount of $5000, you received the principal $5000 minus $500 as an interest, but you must pay back the entire principal. What is this type of loan called?

(Short Answer)
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A credit card statement shows a monthly interest rate of 1.89%. What is the EAR?

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