Suppose we have the following returns for large$-$company stocks and Treasury bills over a six$-$year period:

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Year

Large$-$

US Treasury

Company

bills

stocks

$3\mathrm{.}66\%$

$4\mathrm{.}66\%$

$14\mathrm{.}44$

$2\mathrm{.}33$

$19\mathrm{.}03$

$4\mathrm{.}12$

$123456$

$-14\mathrm{.}65$

$5\mathrm{.}88$

$-32\mathrm{.}14$

$4\mathrm{.}90$

$37\mathrm{.}27$

$6\mathrm{.}33$

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a$.$

Calculate the arithmetic average returns for large$-$company stocks and T$-$bills over this period. $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

b$.$

Calculate the standard deviation of the returns for large$-$company stocks and T$-$bills over this period. $($Do not round intermediate calculations and enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

c$-1.$ Calculate the observed risk premium in each year for the large$-$company stocks

versus the T$-$bills. What was the average risk premium over this period? $($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$.,32\mathrm{.}16.)$

c$-2.$ Calculate the observed risk premium in each year for the large$-$company stocks versus the T$-$bills. What was the standard deviation of the risk premium over this period? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

a$.$ Large$-$company stocks

a$.$ T$-$bills

b$.$ Large$-$company stocks

b$.$ T$-$bills

c$-1.$ Average risk premium c$-2.$ Standard deviation

$\%$

$\%$

$\%$

$\%.$

$\%$

$\%$

I need detailed alculation and explanation