$$ m

A stock had returns of $12\%,2\%,9\%,16\%,$ and $-7\%$ for the past five years. The average return on corporate bonds and government of Canada treasury bills over the past five years was $5\%$ and $2\mathrm{.}5\%$ respectively. Based on this information, please answer the questions below:

a$.$ What was arithmetic average annual return for this stock? $(2$ marks$)$

b$.$ What was the standard deviation of the returns for this stock? $(3$ marks$)$

c$.$ Assuming that the returns on the stock follow a normal distribution, what is the range of possible returns, $95\%$ of the time? $(3$ marks$)$

d$.$ What is the reward for bearing risk $($risk premium$)$ of owning this stock? $(2$ marks$)$