Assume that the Pure Expectations Theory of the Term Structure is correct. If you invest $$1,000$ at the beginning of Year $3,$ and leave it invested for Years $3,4,$ and $5,$ then how much will you have at the end of Year $5$

Year K$*$ Average K$*$ Inflation Average IP Kn Kf

$11\%1\mathrm{.}00\%3\mathrm{.}0\%3\mathrm{.}0\%4\mathrm{.}00\%4\mathrm{.}0\%$

$21\%1\mathrm{.}00\%3\mathrm{.}0\%3\mathrm{.}0\%4\mathrm{.}00\%4\mathrm{.}0\%$

$31\%1\mathrm{.}00\%3\mathrm{.}6\%3\mathrm{.}2\%4\mathrm{.}20\%4\mathrm{.}6\%$

$42\%1\mathrm{.}25\%4\mathrm{.}4\%3\mathrm{.}5\%4\mathrm{.}75\%6\mathrm{.}4\%$

$52\%1\mathrm{.}40\%6\mathrm{.}0\%4\mathrm{.}0\%5\mathrm{.}40\%8\mathrm{.}0\%$