A U$.$S$.$ Treasury bill with $90-$day maturity sells at a bank discount yield of $3\%.$

a$.$ What is the price of the bill? $($Do not round intermediate calculations. Round your answer to $2$ decimal places. Omit $ sign in your response.$)$

Price of the bill $

$992\mathrm{.}5$

b$.$ What is the $90-$day holding period return of the bill? $($Do not round intermediate calculations. Round your answer to $4$ decimal places.$)$

Holding period return of the bill

$\%$

c$.$ What is the bond equivalent yield of the bill? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Bond equivalent yield of the bill

$\%$

d$.$ What is the effective annual yield of the bill? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Effective annual yield of the bill