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The question is representative of a growing perpetuity. The formula for computing the theoretical (net) present value of a perpetuity is as follows:

PV = CF / (rR - rG)

where PV = present value

CF = the annualized cash flow

rR = is the required rate of return

rG = is the growth rate of the annualized cash flows

So, if we plug numbers into the above equation:

PV = $42,500 / (18% - 10%)

= $42,500 / 8%

= $531,250

A company with the above requirements would pay $531,250 for that perpetuity derived from the cash flows.

We must assume that the cash flows can grow at 10% forever and that the hurdle rate for corporate products is 18%. In reality, 10% growth forever is rather hopeful, given that such high returns would attract competition.

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