The following are annual rates of return for U$.$S$.$ government T$-$bills and U$.$S$.$ common stocks.

U$.$S$.$ Government U$.$S$.$ Common

Year T$-$Bills Stock

$20180\mathrm{.}0680\mathrm{.}200$

$20190\mathrm{.}0810\mathrm{.}035$

$20200\mathrm{.}0670\mathrm{.}323$

$20210\mathrm{.}0850\mathrm{.}219$

$20220\mathrm{.}0870\mathrm{.}041$

Compute the arithmetic mean rate of return and standard deviation of rates of return for the two series. Do not round intermediate calculations. Round your answers for arithmetic mean to one decimal place. Round your answers for standard deviation of rates of return to two decimal places.

AMTB: $\%$

AMCS: $\%$

$\backslash$sigma TB: $\%$

$\backslash$sigma CS: $\%$

Compute the geometric mean rate of return for each of these investments. Do not round intermediate calculations. Round your answers to one decimal place.

GMTB: $\%$

GMCS: $\%$

Compare the arithmetic mean return and geometric mean return for each investment and discuss the difference between mean returns as related to the standard deviation of each series.

The geometric mean of the U$.$S$.$ Government T$-$Bills is the arithmetic mean, an indicator of a standard deviation.

The geometric mean of the U$.$S$.$ Common Stocks is the arithmetic mean, an indicator of a standard deviation.