Question $4\mathrm{.}1\mathrm{.}1$: Find the prices of the following bonds, all redeemable at par. Show how to compare their prices without actually calculating the numerical values.

$($a$)$ A $10-$year $$100,5\%$ bond yielding $7\mathrm{.}2\%($b$)$ A $10-$year $$100,5(1)/(2)\%$ bond yielding $7\mathrm{.}7\%($c$)$ A $12-$year $$100,5\%$ bond yielding $7\mathrm{.}2\%($d$)$ A $12-$year $$100,5(1)/(2)\%$ bond yielding $7\mathrm{.}7\%$