Suppose a US investor has $$2150$ to invest and can choose either a US investment paying $2\mathrm{.}8\%$ or a foreign investment paying $4\mathrm{.}5\%,$ where e is currently $1\mathrm{.}1.$

What value of e$,$ at the end of a year, would leave the investor indifferent between investing at home or abroad? $(3$ decimals$)$