$($Related to Checkpoint $7\mathrm{.}2)($Calculating the geometric and arithmetic average rates of return$)$ Marsh Inc. had the following end$-$of$-$year stock prices over the last five years and paid no cash dividends:

a$.$ Calculate the annual rate of return for each year from the information shown in the table:

b$.$ What is the arithmetic average rate of return earned by investing in Marshbtock over this period?

c$.$ What is the geometric average rate of return earned by investing in Marshtutock over this period?

d$.$ Considering the beginning and ending stock prices for the five$-$year period are the same, which type of average rate of return $($the arithmetic or geometric$)$ better describes the average annual rate of return earned over the period?

a$.$ The annual rate of return at the end of year $1$ is $\%.($Round to two decimal places.$)$

Time $01234$

Marsh $$121020912$