Consider the following table for a period of six years:

Year Returns

Large$-$Company Stocks U$.$S$.$ Treasury Bills

$1,16\mathrm{.}49\%7\mathrm{.}65\%$

$2,27\mathrm{.}018\mathrm{.}17$

$3,37\mathrm{.}596\mathrm{.}23$

$4,24\mathrm{.}296\mathrm{.}87$

$5,7\mathrm{.}885\mathrm{.}63$

$6,6\mathrm{.}938\mathrm{.}18$

a$-1.$ Calculate the arithmetic average returns for large$-$company stocks and T$-$bills over this time period.

Note: Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

a$-2.$ Calculate the standard deviation of the returns for large$-$company stocks and T$-$bills over this time period.

Note: Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

Calculate the observed risk premium in each year for the large$-$company stocks versus the T$-$bills.

b$-1.$ What was the arithmetic average risk premium over this period?

Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

b$-2.$ What was the standard deviation of the risk premium over this period?

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$