$4.$ A corporate investor has invested $$5,000,000$ in a CD that matures in $2$ years and offers an annual quoted interest rate of $1\mathrm{.}5\%$ compounded monthly.

a$.$ What is the dollar maturity value of this CD investment and the Annual percentage Yield.

b$.$ Calculate the annual percentage yield $($APY$)$ which is also referred to as the Effective annual rate of return $($EAR$)$ of this investment.

c$.$ Estimate the dollar amount earned on a simple interest basis and compound interest basis.