Ch 5 Practice Q's-Answers
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Practice Questions for CHAPTER 5 1. What is the effective annual rate (EAR)? A) It is the interest rate that would earn the same interest with annual compounding. B) It is the ratio of the number of the annual percentage rate to the number of compounding periods per year. C) It is the interest rate for an n
-year time interval, where n may be more than one year or less than or equal to one year (a fraction). D) It refers to the cash flows from an investment over a one-year period divided by the number of times that interest is compounded during the year. 2. A bank offers a loan that will require you to pay 7% interest compounded monthly. Which of the following is closest to the EAR charged by the bank? A) 5.78% B) 8.68% C) 7.23% D) 14.46% 3. A bank pays interest semiannually with an EAR of 13%. What is the periodic interest rate applicable semiannually? A) 5.04% B) 7.56% C) 6.30% D) 12.60% 4. Howard is saving for a holiday. He deposits a fixed amount every month in a bank account with an EAR of 14.7%. If this account pays interest every month then how much should he save from each monthly paycheck in order to have $14,000 in the account in four years' time? A) $176 B) $308 C) $220 D) $352 5. A(n) 12% APR with monthly compounding is closest to ________. A) an EAR of 10.14% B) an EAR of 15.22% C) an EAR of 12.68% D) an EAR of 25.36%
1 6. An animator needs a laptop for audio/video editing, and notices that he can pay $2600 for a Dell XPS laptop, or lease from the manufacturer for monthly payments of $75 each for four years. The designer can borrow at an interest rate of 14% APR compounded monthly. What is the cost of leasing the laptop over buying it outright? A) Leasing costs $116 more than buying. B) Leasing costs $174 more than buying. C) Leasing costs $145 more than buying. D) Leasing costs $289 more than buying. 7. Which of the following accounts has the highest EAR? A) one that pays 5.4% every six months B) one that pays 1.0% per month C) one that pays 9.6% per year D) one that pays 2.4% every three months 8. Drew receives an inheritance that pays him $54,000 every three months for the next two years. Which of the following is closest to the present value (PV) of this inheritance if the interest rate is 8.9% (EAR)? A) $314,366 B) $471,549 C) $392,957 D) $432,000 9. The effective annual rate (EAR) for a loan with a stated APR of 8% compounded monthly is closest to ________. A) 8.30% B) 9.13% C) 9.96% D) 10.79% 10. Consider the following investment alternatives: Which alternative offers you the highest effective rate of return? A) Investment A B) Investment B C) Investment C D) Investment D
2 11. Your firm needs to invest in a new delivery truck. The life expectancy of the delivery truck is five years. You can purchase a new delivery truck for an upfront cost of $350,000, or you can lease a truck from the manufacturer for five years for a monthly lease payment of $7000 (paid at the end of each month). Your firm can borrow at 9.00% APR with quarterly compounding. The effective annual rate on your firm's borrowings is closest to ________. A) 9.00% B) 7.45% C) 11.17% D) 9.31% 12. A 10% APR with quarterly compounding is equivalent to an EAR of ________. A) 10.00% B) 10.47% C) 10.38% D) 9.81% 13. Which of the following is/are TRUE? I. The EAR can never exceed the APR. II. The APR can never exceed the EAR. III. The APR and EAR can never be equal. A) Only I is true. B) Only II.is true. C) Only II & III are true. D) Only I & III are true. 14. A $50,000 new car loan is taken out with the terms 12% APR for 48 months. How much are monthly payments on this loan? A) $1448.36 B) $1580.03 C) $1316.69 D) $1711.70 15. A pottery factory purchases a continuous belt conveyor kiln for $68,000. A 6.3% APR loan with monthly payments is taken out to purchase the kiln. If the monthly payments are $765.22, over what term is this loan being paid? A) 8 years B) 9 years C) 10 years D) 11 years
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3 16. Ursula wants to buy a $19,000 used car. She has savings of $2,000 plus an $800 trade-in. She wants her monthly payments to be about $282. Which of the following loans offers monthly payments closest to $282? A) 7.8% APR for 36 months B) 7.8% APR for 48 months C) 7.8% APR for 60 months D) 7.8% APR for 72 months 17. What is the present value (PV) of an investment that pays $100,000 every year for four years if the interest rate is 5% APR, compounded quarterly? A) $353,818 B) $389,200 C) $424,581 D) $459,963 18. A home buyer buys a house for $2,155,000. She pays 20% cash, and takes a fixed-rate mortgage for ten years at 7.70% APR. If she makes semi-monthly payments, which of the following is closest to each of her payment? A) $11,342.47 B) $10,311.34 C) $12,373.61 D) $8249.07 19. A small business repairs its store. The builders charge them $130,000 which will be paid back in monthly installments over three years at 6.80% APR. The builders will reduce this rate to 6.30% APR if they pay $2600 up front. By approximately how much will this reduce the monthly loan repayments? A) $109 B) $218 C) $164 D) $55 20. Five years ago you took out a 30-year mortgage with an APR of 6.5% for $200,000. If you were to refinance the mortgage today for 20 years at an APR of 4.25%, how much would your monthly payment change by? A) The monthly payment will increase by $104.79. B) The monthly payment will decrease by $104.79 C) The monthly payment will increase by $343.12. D) The monthly payment will decrease by $343.12.
4 21. You are considering purchasing a new automobile with the upfront cost of $25,000 or leasing it from the dealer for a period of 60 months. The dealer offers you 4.00% APR financing for 60 months (with payments made at the end of the month). Assuming you finance the entire $25,000 through the dealer, your monthly payments will be closest to ________. A) $368 B) $460 C) $552 D) $645 22. Two years ago you purchased a new SUV. You financed your SUV for 60 months (with payments made at the end of the month) with a loan at 6.15% APR. Your monthly payments are $388.05 and you have just made your 24th monthly payment on your SUV. Assuming that you have made all of the first 24 payments on time, then the outstanding principal balance on your SUV loan is closest to ________. A) $14,000 B) $12,727 C) $15,273 D) $17,818
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Which of the following is the correct mathematical expression of effective annual rate (EAR)? (m denotes the number of times the interest is compounded during the year.)
Multiple choice question.
EAR = [1 − (Quoted rate/m)]m + 1
EAR = [1 + (Quoted rate/m)]m − 1
EAR = [1 + (Quoted rate/m)]m + 1
EAR = [1 − (Quoted rate/m)]m − 1
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13
When interest is calculated for periods shorter than a year, the formula to calculate interest is:
Multiple Choice
I = P × R × T, where I = interest calculated, P = principal, R = annual interest rate, and T = number of months.
I = P × R × T, where I = interest calculated, P = principal, R = annual interest rate, and T = (number of months ÷ 12).
I = P × R × T, where I = interest calculated, P = principal, R = monthly interest rate, and T = (number of months ÷ 12).
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Question:334
For each of the following cases, indicate (a) to what rate
columns, and (b) to what number of periods you would
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1. In a future value of 1 table:
Annual
Rate
Number of Years
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Compoun
ded
(a) Rate of
Interest
(b) Number of
Periods
a.
9%
9 Annually a) ?%
b)
?
b.
12%
5 Quarterly a) ?%
b)
?
C.
10%
15 Semiannu a) ?%
b)
?
2. In a present value of an annuity of 1 table:
Annua
Number of
I Rate
Years
Number of
Rents
Frequency (a) Rate
a.
9%
25
of Rents
25 Annually
of Interest
a) ?%
(b) Number
of Periods
b)?
b
10%
15
30 Semi-
a) ?%
b)?
C.
12%
7
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b)?
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Term of
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Interest
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Periods
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quarterly
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Investment Analysis
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reff =
1 +
r
m
m
− 1
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1
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2
7.00
3
7.75
4
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A. Suppose you invest
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B
B. Suppose you invest
$ 11,400 today. What is the future value of the investment in
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4
5
6
27
28
29
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St
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Question 2
+
Ready Accessibility: Investigate
MAR
17
A
W
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%
enter the number of periods
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19
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%
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VALUE (Dollars)
Line A:
01
2 3 4 5
Line B:
6
B
Line C:
C
7 8 9 10
TIME (Years)
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