An investment over $5$ years has an HPR of $-2\mathrm{.}15\%$ in the first year, $+2\mathrm{.}15\%$ in the

second, $+4\mathrm{.}1\%$ in the third, $+3\mathrm{.}2\%$ in the fourth year, and $+3\mathrm{.}7\%$ in the $5^{th}.$

a$)$ Calculate the average annual compound rate of return over this $5-$year holding

period. Round to $3$ decimals: xx$.$yyy$\%$ or $.$xxyyy

b$)$ What is the simple average of the annual HPRs$?$

c$)$ Suppose you had invested $$1100$ in this investment at the start. What would

your investment have been worth at the end of the $2^{nd}$ year?