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At which interest rate is the present value of $168.54 two years from today equal to $150 today?


A) 4 percent
B) 5 percent
C) 6 percent
D) None of the above would give a present value within a cent of $162.24.

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

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You have a choice among three options.Option 1: receive $900 immediately.Option 2: receive $1,200 one year from now.Option 3: receive $2,000 five years from now.The interest rate is 15 percent.Rank these three options from highest present value to lowest present value.


A) Option 1;Option 2;Option 3
B) Option 3;Option 2;Option 1
C) Option 2;Option 3;Option 1
D) Option 3;Option 1;Option 2

E) None of the above
F) B) and C)

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A bond promises to pay $500 in one year and $10,500 in two years.What is the correct way to find the present value of this bond?


A) $500(1 + r) + $10,500/(1 + r) 2
B) $500/(1 + r) + $10,500/(1 + r) 2
C) $11,000/(1 + r) 2
D) $500(1 + r) + $10,500(1 + r) 2

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

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On the Internet you find the following offers for opening an online account.Which of them is the best offer if you have $5,000 to save for two years?


A) an interest rate of 5 percent,with the bank charging you a $50 processing fee at the time you open your account
B) an interest rate of 4 percent,with the bank giving you a $65 bonus at the time you open your account
C) an interest rate of 3.5 percent,with the bank giving you a $100 bonus to open your account
D) an interest rate of 4.5 percent,with no processing fee and no bonus

E) B) and C)
F) A) and D)

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Your accountant tells you that if you can continue to earn the current interest rate on your balance of $800 for the next two years you will have $898.88 in your account.If your accountant is correct,then what is the current interest rate?


A) 6 percent
B) 7 percent
C) 8 percent
D) 9 percent

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

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At which interest rate is the present value of $196.85 three years from today equal to $175 today?


A) 2 percent
B) 4 percent
C) 6 percent
D) 8 percent

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

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Veronica deposited $1,000 into an account two years ago.The first year she earned 7 percent interest;the second year she earned 5 percent.How much money does Veronica have in her account today?


A) $1,133.31
B) $1,120.00
C) $1,123.50
D) None of the above are correct to the nearest cent.

E) A) and D)
F) B) and C)

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You could borrow $2,000 today from Bank A and repay the loan,with interest,by paying Bank A $2,125 one year from today.Or,you could borrow X dollars today from Bank B and repay the loan,with interest,by paying Bank B $2,200 two years from today.In order for the same interest rate to apply to the two loans,X =


A) $1,853.55.
B) $1,898.70.
C) $1,948.79.
D) $2,012.22.

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

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At which interest rate is the present value of $95.40 one year from today equal to $90 today?


A) 4 percent
B) 5 percent
C) 6 percent
D) 7 percent

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

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You have been promised a payment of $400 in the future.In which of the following cases is the present value of this payment the lowest?


A) You receive the payment 4 years from now and the interest rate is 4 percent.
B) You receive the payment 4 years from now and the interest rate is 5 percent.
C) You receive the payment 5 years from now and the interest rate is 4 percent.
D) You receive the payment 5 years from now and the interest rate is 5 percent.

E) B) and D)
F) A) and C)

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In answering which of the following questions would you find it necessary to calculate a future value?


A) If Jill puts $5,000 today into a bank account that pays 3 percent interest,then how much will she have in the account after 2 years?
B) Should ABC Corporation buy a factory today for $2 million,knowing that the factory will yield the corporation $3 million after 5 years?
C) As the winner of a lottery,should Michael choose an immediate payment of $250,000 or should he choose annual payments of $30,000 for each of the next 10 years?
D) You would find it necessary to calculate a future value in order to answer all of these questions.

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

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At an annual interest rate of 10 percent,about how many years will it take $100 to double in value?


A) 5
B) 7
C) 9
D) 11

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

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Daniel has $300 in a bank account.Some years ago he put $213.20 into this account,and it has earned 5 percent interest every year since then.How many years ago did Daniel open his account?


A) 4 years
B) 5 years
C) 6 years
D) 7 years

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

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