Assume that a perpetuity will make annual payments of $$450$ at Years $1$ through infinity.

Using an effective annual interest rate of $15$ percent, you can calculate that you should be willing to pay $$3,000$ at Year O for these cash flows. Now assume that the first cash flow will still be $$450$ at Year $1,$ but that the remaining cash flows will grow at a constant annual rate of $8\mathrm{.}0$ percent. Based on this information, determine how much more you should be willing to pay at Year $0$ for these constant growth cash flows.

$$ $$1,090\mathrm{.}91$

O $$3,428\mathrm{.}57$

O $$1,500\mathrm{.}00$

$$ $$2,000\mathrm{.}00$

$$ $$2,625\mathrm{.}00$