Which of the following statements regarding perpetuities is FALSE?a.PV of a perpetuity = r/Cb.None of them.c.To find the value of a perpetuity one cash flow at a time would take forever.d.A perpetuity is a stream of equal cash flows that occurs at regular intervals and lasts forever.e.One example of a perpetuity is the British government bond called a consol.
Question
Which of the following statements regarding perpetuities is FALSE?a.PV of a perpetuity = r/Cb.None of them.c.To find the value of a perpetuity one cash flow at a time would take forever.d.A perpetuity is a stream of equal cash flows that occurs at regular intervals and lasts forever.e.One example of a perpetuity is the British government bond called a consol.
Solution
The false statement regarding perpetuities is a. PV of a perpetuity = r/C.
The correct formula for the present value (PV) of a perpetuity is PV = C/r, where C is the cash flow per period and r is the interest rate.
Perpetuities are indeed a stream of equal cash flows that occur at regular intervals and last forever, and the British government bond called a consol is an example of a perpetuity. It's also true that to find the value of a perpetuity one cash flow at a time would take forever, because by definition, a perpetuity lasts forever.
Similar Questions
Which of the following statements regarding growing perpetuities is FALSE?a.PV of a growing perpetuity = C/(r-g)b.A growing perpetuity is a cash flow stream that occurs at regular intervals and grows at a constant rate forever.c.To find the value of a growing perpetuity one cash flow at a time would take forever.d.None of them.e.We assume that r < g for a growing perpetuity.
A perpetuity is an annuity where the paymentsQuestion 7Select one:A.stop at maturity.B.are delayed until maturity.C.increase due to inflation.D.never stop.E.accrue until maturity.
Consider the following information as it relates to a perpetuity-style security: • Relevant rate of return observed in market = 6% per annum compounding half-yearly • A regular cash flow of $50 per half year will be paid in perpetuity, with the first cash flow occurring today Which of the following is closest to the PV of the cash flow stream expected of this perpetuity? a) $1,525.24 b) $1,618.12 c) $1,666.67 d) $1,716.67
Which of the following statements is correct?a.The first cash flow in an ordinary annuity starts at time zero.b.The first cash flow in an annuity due starts at maturity.c.Present value and future value are always the same.d.None of them.e.The first cash flow in an annuity due starts at time zero.
Question 2 (a) When you attended a conference recently, an investment banker made the following remarks: ‘The future value of a perpetuity can be easily computed using one of the time value functions in Excel spreadsheet. And the present value of a growing annuity can be computed as long as an investor knows the number of years and amount of cash flow in the first year.’ Criticize the statements made by the investment banker. Your answer should not exceed 100 words. (12 marks)
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