Cray Computing needs a $5-$month loan for $$300,000.$ Its bank quotes a simple interest rate of $15\%$ on the loan.

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

What is the period rate if there is a compensating balance requirement of $20\%$ of the loan amount?

What is the annual percentage rate $($APR$)$ if there is a compensating balance requirement of $20\%$ of the loan amount?

What is the effective annual rate $($EAR$)$ if there is a compensating balance requirement of $20\%$ of the loan amount?