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

A) True
B) False

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Of the following investments, which would have the lowest present value? Assume that the effective annual rate for all investments is the same and is greater than zero.


A) Investment A pays $250 at the end of every year for the next 10 years (a total of 10 payments) .
B) Investment B pays $125 at the end of every 6-month period for the next 10 years (a total of 20 payments) .
C) Investment C pays $125 at the beginning of every 6-month period for the next 10 years (a total of 20 payments) .
D) Investment D pays $2,500 at the end of 10 years (just one payment) .
E) Investment E pays $250 at the beginning of every year for the next 10 years (a total of 10 payments) .

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

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D

Your Green Investment Tips subscription is about to expire.You plan to subscribe to the magazine for the rest of your life, and you can renew it by paying $85 annually, beginning immediately, or you can get a lifetime subscription for $850, also payable immediately.Assuming that you can earn 6.0% on your funds and that the annual renewal rate will remain constant, how many years must you live to make the lifetime subscription the better buy?


A) 7.48
B) 8.80
C) 10.35
D) 12.18
E) 14.33

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

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The payment made each period on an amortized loan is constant, and it consists of some interest and some principal.The closer we are to the end of the loan's life, the greater the percentage of the payment that will be a repayment of principal.

A) True
B) False

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A salt mine you inherited will pay you $25,000 per year for 25 years, with the first payment being made today.If you think a fair return on the mine is 7.5%, how much should you ask for it if you decide to sell it?


A) $284,595
B) $299,574
C) $314,553
D) $330,281
E) $346,795

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

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American Express and other credit card issuers must by law print the Annual Percentage Rate (APR) on their monthly statements.If the APR is stated to be 18.00%, with interest paid monthly, what is the card's EFF%?


A) 18.58%
B) 19.56%
C) 20.54%
D) 21.57%
E) 22.65%

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

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B

Some of the cash flows shown on a time line can be in the form of annuity payments but none can be uneven amounts.

A) True
B) False

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Your bank offers to lend you $100,000 at an 8.5% annual interest rate to start your new business.The terms require you to amortize the loan with 10 equal end-of-year payments.How much interest would you be paying in Year 2?


A) $7,531
B) $7,927
C) $8,323
D) $8,740
E) $9,177

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

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A time line is meaningful even if all cash flows do not occur annually.

A) True
B) False

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The payment made each period on an amortized loan is constant, and it consists of some interest and some principal.The closer we are to the end of the loan's life, the smaller the percentage of the payment that will be a repayment of principal.

A) True
B) False

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Your uncle has $300,000 invested at 7.5%, and he now wants to retire.He wants to withdraw $35,000 at the end of each year, beginning at the end of this year.He also wants to have $25,000 left to give you when he ceases to withdraw funds from the account.What is the maximum number of $35,000 withdrawals that he can make and still have at least $25,000 left in the account? (Hint: If your solution for N is not an integer, round down to the nearest whole number.)


A) 12
B) 13
C) 14
D) 15
E) 16

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

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Suppose you earned a $275,000 bonus this year and invested it at 8.25% per year.How much could you withdraw at the end of each of the next 20 years?


A) $28,532
B) $29,959
C) $31,457
D) $33,030
E) $34,681

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

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A perpetuity pays $85 per year and costs $950.What is the rate of return?


A) 8.95%
B) 9.39%
C) 9.86%
D) 10.36%
E) 10.88%

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

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If we are given a periodic interest rate, say a monthly rate, we can find the nominal annual rate by multiplying the periodic rate by the number of periods per year.

A) True
B) False

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Your bank account pays a 5% nominal rate of interest.The interest is compounded quarterly.Which of the following statements is CORRECT?


A) The periodic rate of interest is 5% and the effective rate of interest is also 5%.
B) The periodic rate of interest is 1.25% and the effective rate of interest is 2.5%.
C) The periodic rate of interest is 5% and the effective rate of interest is greater than 5%.
D) The periodic rate of interest is 1.25% and the effective rate of interest is greater than 5%.
E) The periodic rate of interest is 2.5% and the effective rate of interest is 5%.

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

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How much would Roderick have after 6 years if he has $500 now and leaves it invested at 5.5% with annual compounding?


A) $591.09
B) $622.20
C) $654.95
D) $689.42
E) $723.89

F) All of the above
G) B) and E)

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Suppose Randy Jones plans to invest $1,000.He can earn an effective annual rate of 5% on Security A, while Security B has an effective annual rate of 12%.After 11 years, the compounded value of Security B should be somewhat less than twice the compounded value of Security A.(Ignore risk, and assume that compounding occurs annually.)

A) True
B) False

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False

Your sister paid $10,000 (CF at t = 0) for an investment that promises to pay $750 at the end of each of the next 5 years, then an additional lump sum payment of $10,000 at the end of the 5th year.What is the expected rate of return on this investment?


A) 6.77%
B) 7.13%
C) 7.50%
D) 7.88%
E) 8.27%

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

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You agree to make 24 deposits of $500 at the beginning of each month into a bank account.At the end of the 24th month, you will have $13,000 in your account.If the bank compounds interest monthly, what nominal annual interest rate will you be earning?


A) 7.62%
B) 8.00%
C) 8.40%
D) 8.82%
E) 9.26%

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

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


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

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

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