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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 increase the calculated value of the investment?


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

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

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If the discount (or interest) rate is positive, the present value of an expected series of payments will always exceed the future value of the same series.

A) True
B) False

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What's the future value of $1,500 after 5 years if the appropriate interest rate is 6%, compounded semiannually?


A) $1,819
B) $1,915
C) $2,016
D) $2,117
E) $2,223

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

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You want to purchase a motorcycle 4 years from now, and you plan to save $3,500 per year, beginning immediately. You will make 4 deposits in an account that pays 5.7% interest. Under these assumptions, how much will you have 4 years from today?


A) $16,112
B) $16,918
C) $17,763
D) $18,652
E) $19,584

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

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You borrowed $50,000 which you must repay in 10 years. You plan to make an initial deposit today, then make 9 more deposits at the beginning of each the next 9 years, but with the deposits increasing at the inflation rate. You expect to earn 5% on your funds, and you expect a 3% inflation rate. To the nearest dollar, how large must your initial deposit be to enable you to reach your $50,000 target?


A) $3,008
B) $3,342
C) $3,676
D) $4,044
E) $4,448

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

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Brockman Corporation's earnings per share were $3.50 last year, and its growth rate during the prior 5 years was 9.0% per year. If that growth rate were maintained, how many years would it take for Brockman's EPS to triple?


A) 9.29
B) 10.33
C) 11.47
D) 12.75
E) 14.02

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

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Which of the following statements is CORRECT?


A) if cf0 is positive and all the other cfs are negative, then you cannot solve for i.
B) if you have a series of cash flows, each of which is positive, you can solve for i, where the solution value of i causes the pv of the cash flows to equal the cash flow at time 0.
C) if you have a series of cash flows, and cf0 is negative but each of the following cfs is positive, you can solve for i, but only if the sum of the undiscounted cash flows exceeds the cost.
D) to solve for i, one must identify the value of i that causes the pv of the positive cfs to equal the absolute value of the pv of the negative cfs. this is, essentially, a trial-and-error procedure that is easy with a computer or financial calculator but quite difficult otherwise.
E) if you solve for i and get a negative number, then you must have made a mistake.

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

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Which of the following statements regarding a 20-year (240-month) $225,000, fixed-rate mortgage is CORRECT? (Ignore taxes and transactions costs.)


A) the outstanding balance declines at a slower rate in the later years of the loan's life.
B) the remaining balance after three years will be $225,000 less one third of the interest paid during the first three years.
C) because it is a fixed-rate mortgage, the monthly loan payments (which include both interest and principal payments) are constant.
D) interest payments on the mortgage will increase steadily over time, but the total amount of each payment will remain constant.
E) 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.

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

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