$($Calculating the geometric and arithmetic average rate of return$)$ The common stock of the Brangus Cattle Company had the following end$-$of$-$year stock prices over the last five years and paid

no cash dividends:

$($Click on the icon in order to copy its contents into a spreadsheet.$)$

a$.$ Calculate the annual rate of return for each year from the above information.

b$.$ What is the arithmetic average rate of return earned by investing in Brangus Cattle Company's stock over this period?

a$.$ The annual rate of return at the end of year $2$ is

$\%.($Round to two decimal places.$)$