$3.$ A stock has had the following year$-$end prices and dividends:

Year Price Dividend

$1$ $$62\mathrm{.}28\_$

$271\mathrm{.}66$ $$0\mathrm{.}60$

$392\mathrm{.}580\mathrm{.}62$

$489\mathrm{.}350\mathrm{.}64$

$582\mathrm{.}490\mathrm{.}64$

$694\mathrm{.}050\mathrm{.}65$

$796\mathrm{.}080\mathrm{.}65$

$897\mathrm{.}550\mathrm{.}66$

$(1)$ Pleas e calculate the annual rate of return for year $2$ through year $8.$

$(2)$ What are the arithmetic and geometric average returns for the stock over year $2$ through year $8?$

$(3)$ What are the variance and standard deviations of stock returns over year $2$ through year $8?$

note: Please dont give me no Chat GPD answers.

Prever Excel and please show the formula used in excel.

Thanks