QUESTION $5$

A stock had returns of $22\mathrm{.}22\%(1$ year ago$),2\mathrm{.}44\%(2$ years ago$),$ X $(3$ years ago$),$ and $-14\mathrm{.}19\%(4$ years ago$)$ in each of the past years. Over the past $4$ years, the geometric average annual return for the stock was $3\mathrm{.}79\%.$ What was the arithmetic average annual return for the stock over the past years?

$4\mathrm{.}62\%($plus or minus $4bps)$

$4\mathrm{.}01\%($plus or minus $4bps)$

$8\mathrm{.}01\%($plus or minus $4bps)$

$3\mathrm{.}56\%($plus or minus $4bps)$

$$ None of the above is within $4$ bps of the correct answer