Practice quiz

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University of Wisconsin, Madison *

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455

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Finance

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Feb 20, 2024

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docx

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Practice quiz: 1. An ordinary annuity is best defined by which one of the following? A) Increasing payments paid for a definitive period of time B) Increasing payments paid forever C) Equal payments paid at regular intervals over a stated time period D) Equal payments paid at regular intervals of time on an ongoing basis E) Unequal payments that occur at set intervals for a limited period of time **Answer: C) Equal payments paid at regularly intervals over a stated time period** 2. You are borrowing $17,800 to buy a car. The terms of the loan call for monthly payments for 5 years at 8.6% interest. What is the amount of each payment? A) $287.71 B) $291.40 C) $301.12 D) $342.76 E) $366.05 **Answer: E) $366.05** 3. Given an interest rate of 8% per year, what is the value at date t=9 of a perpetual stream of $500 annual payments that begins at date t=17? A) $3,646.81 B) $4,109.19 C) $4,307.78
D) $6,250.00 E) $6,487.17 **Answer: A) $3,646.81** 4. You are comparing two investment options that each pay 5 percent interest, compounded annually. Both options will provide you with $12,000 of income. Option A pays three annual payments starting with $2,000 the first year followed by two annual payments of $5,000 each. Option B pays three annual payments of $4,000 each. Which one of the following statements is correct given these two investment options? A) Both options are of equal value given that they both provide $12,000 of income B) Option A has the higher future value at the end of year 3 C) Option B has a higher present value at time zero than does option A D) Option B is a perpetuity E) Option A is an annuity **Answer: C) Option B has a higher present value at time zero than does option A** 5. Today, you borrowed $6,200 on your credit card to purchase some furniture. The interest rate is 14.9%, compounded monthly. How long will it take you to pay off this debt assuming that you do not charge anything else and make regular monthly payments? A) 5.87 years B) 6.40 years C) 6.93 years D) 7.23 years E) 7.31 years **Answer: C) 6.93 years**
6. You are comparing two annuities which offer quarterly payments of $2,500 for five years and pay 0.75% interest per month. Annuity A will pay you on the first of each month while annuity B will pay you on the last day of each month. Which one of the following statements is correct concerning these two annuities? A) These two annuities have equal present values but unequal futures values at the end of year 5 B) These two annuities have equal present values as of today and equal future values at the end of year 5 C) Annuity B is an annuity due D) Annuity A has a smaller future value than annuity B E) Annuity B has a smaller present value than annuity A **Answer: E) Annuity B has a smaller present value than annuity A** 7. Which one of the following statements related to annuities and perpetuities is correct? A) An ordinary annuity is worth more than an annuity due given equal annual cash flows for ten years at 7% interest, compounded annually B) A perpetuity comprised of $100 monthly payments is worth more than an annuity comprised of $100 monthly payments, given an interest rate of 12%, compounded monthly C) Most loans are a form of a perpetuity D) The present value of a perpetuity cannot be computed, but the future value can E) Perpetuities are finite but annuities are not **Answer: B) A perpetuity comprised of $100 monthly payments is worth more than an annuity comprised of $100 monthly payments, given an interest rate of 12%, compounded monthly**
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