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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.

Question

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.

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Solution

The correct answer is e. We assume that r < g for a growing perpetuity.

This statement is false because for a growing perpetuity, the growth rate (g) must be less than the discount rate (r). If the growth rate were higher than the discount rate, the present value of the perpetuity would be infinite, which is not realistic. So, we always assume that r > g for a growing perpetuity.

Similar Questions

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.

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