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You plan to analyze the value of a potential investment by calculating the sum of the present values of its expected cash flows. Which of the following would lower the calculated value of the investment?


A) The cash flows are in the form of a deferred annuity, and they total to $100,000. You learn that the annuity lasts for only 5 rather than 10 years, hence that each payment is for $20,000 rather than for $10,000.
B) The discount rate increases.
C) The riskiness of the investment's cash flows decreases.
D) The total amount of cash flows remains the same, but more of the cash flows are received in the earlier years and less are received in the later years.
E) The discount rate decreases.

F) B) and C)
G) D) and E)

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B

If a bank compounds savings accounts quarterly, the effective annual rate will exceed the nominal rate.

A) True
B) False

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When a loan is amortized, a relatively high percentage of the payment goes to reduce the outstanding principal in the early years, and the principal repayment's percentage declines in the loan's later years.

A) True
B) False

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Sam was injured in an accident, and the insurance company has offered him the choice of $25,000 per year for 15 years, with the first payment being made today, or a lump sum. If a fair return is 7.5%, how large must the lump sum be to leave him as well off financially as with the annuity?


A) $225,367
B) $237,229
C) $249,090
D) $261,545
E) $274,622

F) A) and E)
G) A) and D)

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Your brother's business obtained a 30-year amortized mortgage loan for $250,000 at a nominal annual rate of 7.0%, with 360 end-of-month payments. The firm can deduct the interest paid for tax purposes. What will the interest tax deduction be for Year 1?


A) $17,419.55
B) $17,593.75
C) $17,769.68
D) $17,947.38
E) $18,126.85

F) C) and E)
G) A) and E)

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Suppose a State of New York bond will pay $1,000 ten years from now. If the going interest rate on these 10-year bonds is 5.5%, how much is the bond worth today?


A) $585.43
B) $614.70
C) $645.44
D) $677.71
E) $711.59

F) C) and E)
G) B) and D)

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Which of the following statements is CORRECT?


A) A time line is not meaningful unless all cash flows occur annually.
B) Time lines are not useful for visualizing complex problems prior to doing actual calculations.
C) Time lines cannot be constructed to deal with situations where some of the cash flows occur annually but others occur quarterly.
D) Time lines can only be constructed for annuities where the payments occur at the end of the periods, i.e., for ordinary annuities.
E) Time lines can be constructed where some of the payments constitute an annuity but others are unequal and thus are not part of the annuity.

F) A) and E)
G) A) and D)

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Suppose an Exxon Corporation bond will pay $4,500 ten years from now. If the going interest rate on safe 10-year bonds is 4.25%, how much is the bond worth today?


A) $2,819.52
B) $2,967.92
C) $3,116.31
D) $3,272.13
E) $3,435.74

F) B) and C)
G) B) and E)

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Sue now has $125. How much would she have after 8 years if she leaves it invested at 8.5% with annual compounding?


A) $205.83
B) $216.67
C) $228.07
D) $240.08
E) $252.08

F) B) and E)
G) A) and E)

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You have a chance to buy an annuity that pays $550 at the beginning of each year for 3 years. You could earn 5.5% on your money in other investments with equal risk. What is the most you should pay for the annuity?


A) $1,412.84
B) $1,487.20
C) $1,565.48
D) $1,643.75
E) $1,725.94

F) A) and B)
G) None of the above

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How much would $1, growing at 3.5% per year, be worth after 75 years?


A) $12.54
B) $13.20
C) $13.86
D) $14.55
E) $15.28

F) A) and B)
G) B) and D)

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What is the PV of an annuity due with 5 payments of $2,500 at an interest rate of 5.5%?


A) $11,262.88
B) $11,826.02
C) $12,417.32
D) $13,038.19
E) $13,690.10

F) C) and D)
G) A) and B)

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A

What is the PV of an ordinary annuity with 10 payments of $2,700 if the appropriate interest rate is 5.5%?


A) $16,576
B) $17,449
C) $18,367
D) $19,334
E) $20,352

F) A) and D)
G) A) and C)

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Steve and Ed are cousins who were both born on the same day, and both turned 25 today. Their grandfather began putting $2,500 per year into a trust fund for Steve on his 20th birthday, and he just made a 6th payment into the fund. The grandfather (or his estate's trustee) will make 40 more $2,500 payments until a 46th and final payment is made on Steve's 65th birthday. The grandfather set things up this way because he wants Steve to work, not be a "trust fund baby," but he also wants to ensure that Steve is provided for in his old age. Until now, the grandfather has been disappointed with Ed, hence has not given him anything. However, they recently reconciled, and the grandfather decided to make an equivalent provision for Ed. He will make the first payment to a trust for Ed today, and he has instructed his trustee to make 40 additional equal annual payments until Ed turns 65, when the 41st and final payment will be made. If both trusts earn an annual return of 8%, how much must the grandfather put into Ed's trust today and each subsequent year to enable him to have the same retirement nest egg as Steve after the last payment is made on their 65th birthday?


A) $3,726
B) $3,912
C) $4,107
D) $4,313
E) $4,528

F) B) and E)
G) A) and C)

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Suppose your credit card issuer states that it charges a 15.00% nominal annual rate, but you must make monthly payments, which amounts to monthly compounding. What is the effective annual rate?


A) 15.27%
B) 16.08%
C) 16.88%
D) 17.72%
E) 18.61%

F) C) and D)
G) None of the above

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Suppose a bank offers to lend you $10,000 for 1 year on a loan contract that calls for you to make interest payments of $250.00 at the end of each quarter and then pay off the principal amount at the end of the year. What is the effective annual rate on the loan?


A) 8.46%
B) 8.90%
C) 9.37%
D) 9.86%
E) 10.38%

F) A) and E)
G) A) and D)

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What is the present value of the following cash flow stream at a rate of 6.25%?


A) $411.57
B) $433.23
C) $456.03
D) $480.03
E) $505.30

F) C) and D)
G) D) and E)

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Five years ago, Weed Go Inc. earned $1.50 per share. Its earnings this year were $3.20. What was the growth rate in earnings per share (EPS) over the 5-year period?


A) 15.54%
B) 16.36%
C) 17.18%
D) 18.04%
E) 18.94%

F) A) and D)
G) B) and E)

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What is the present value of the following cash flow stream at a rate of 8.0%?


A) $7,917
B) $8,333
C) $8,772
D) $9,233
E) $9,695

F) B) and E)
G) A) and B)

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D

Which of the following statements regarding a 15-year (180-month) $125,000, fixed-rate mortgage is CORRECT? (Ignore taxes and transactions costs.)


A) The remaining balance after three years will be $125,000 less one third of the interest paid during the first three years.
B) Because it is a fixed-rate mortgage, the monthly loan payments (which include both interest and principal payments) are constant.
C) Interest payments on the mortgage will increase steadily over time, but the total amount of each payment will remain constant.
D) The proportion of the monthly payment that goes towards repayment of principal will be lower 10 years from now than it will be the first year.
E) The outstanding balance declines at a slower rate in the later years of the loan's life.

F) None of the above
G) A) and C)

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