Apollo Enterprises has been awarded an insurance settlement of $$6,000$ at the end of each $6$ month period for the next $13$ years. $($Round your answers to the nearest cent.$)$

$($a$)$

As the accountant, calculate how much $($in $$)$ the insurance company must set aside now at $6\%$ interest compounded semiannually to pay this obligation to Apollo

$($b$)$

How much $($in $$)$ would the insurance company have to invest now if the Apollo settlement was changed to $$3,000$ at the end of each $3$ month period for $13$ years and the insurance company earned $8\%$ interest compounded quarterly?