A stock had returns of $31\mathrm{.}40\%(1$ year ago$),12\mathrm{.}60\%(2$ years ago$),$ X $(3$ years ago$),$ and $8\mathrm{.}70\%(4$ years ago$)$ in each of the past $4$ years. Over the past $4$ years, the geometric average annual return for the stock was $9\mathrm{.}23\%.$ What was the arithmetic average annual return for the stock over the past $4$ years? Answer in decimal format, rounded to the nearest hundredth of a percent $($for example, $1\mathrm{.}23\%$ would be entered as $0\mathrm{.}0123).$

$10$ points

QUESTION $2$

What was the real rate of return over the past year $($from one year ago to today$)$ for a stock if the inflation rate over the past year was $4\mathrm{.}14\%,$ the risk$-$free return over the past year was $5\mathrm{.}26\%,$ the stock is currently priced at $$128\mathrm{.}70,$ the stock was priced at $$120\mathrm{.}00$ one year ago, and the stock just paid a dividend of $$5\mathrm{.}65?$ Answer in decimal format, rounded to the nearest hundredth of a percent $($for example, $1\mathrm{.}23\%$ would be entered as $0\mathrm{.}0123).$