Using a quarterly compounded yield of $6\%($per annum$),$ compute the

present value of:

$($a$)$ A $$100,0005-$year zero$-$coupon bond

$($b$)$ The payments over $5$ years $($not the principle$)$ from a $$100,0006\%$

annuity with quarterly payments

$($c$)$ A $$100,0005-$year $6\%$ coupon bond with quarterly coupon payments