You have a profit making scheme that is projected to pay at a rate of
p[t] = (100,000+t) E^(t/5)
dollars per year t years from now.
A) Assuming a projected interest rate of 6% compounded every instant, what is the present value of your scheme?
B) Still assuming a projected rate of 6% compounded every instant, how much would you have to plunk down for a perpetual annuity that would pay you at the same rate?
C) what is the projected take on this scheme?
D) How many years would it take for this scheme to play out in the sense that the future take will be next to nothing?

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