Assume that you have just purchased an investment at Year $0$ that will give you payments of $$100$ in each of Years $1$ through infinity $($a perpetuity$),$ and an additional $$200$ in each of Years $15$ through infinity $($a second perpetuity$),$ and an additional $$300$ in each of Years $30$ through infinity $($a third perpetuity$).$ Also assume that the appropriate nominal, annual discount rate is $8$ percent. Given this information, det$$rmine the maximum that you should have been willing to pay for this investment. $$1,715\mathrm{.}78$ $$1,463\mathrm{.}14$ $$2,049\mathrm{.}95$ $$3,139\mathrm{.}02$ $$2,503\mathrm{.}63$