Cray Computing needs a $6-$month loan for $$300,000.$ Its bank quotes a simple interest rate of $11\%$ on the loan.

a$.)$ What is the annual percentage rate $($APR$)?$

b$.)$ What is the effective annual rate $($EAR$)?$

c$.)$ What is the period rate if there is a compensating balance requirement of $30\%$ of the loan amount?

d$.)$ What is the annual percentage rate $($APR$)$ if there is a compensating balance requirement of $30\%$ of the loan amount?

e$.)$ What is the effective annual rate $($EAR$)$ if there is a compensating balance requirement of $30\%$ of the loan amount?