WG Investors are looking at three different investment opportunities. Investment one is a five$-$year investment with a cost of $$125$ and a promised payout of $$250$ at maturity. Investment two is a seven$-$year investment with a cost of $$125$ and a promised payout of $$350.$ Investment three is a ten$-$year investment with a cost of $$125$ and a promised payout of $$550.$ WG Investors can only take on one of the three investments. What is the highest annual compounded return?

Question $7$ options:

$15\mathrm{.}73\%$

$15\mathrm{.}97\%$

$17\mathrm{.}12\%$

$15\mathrm{.}35\%$

$16\mathrm{.}96\%$