Consider the following three bonds $($see Table $1),$ which all have a par value of $$100$ and pay coupons semiannually if the coupon rate is not zero. What is the $6\mathrm{.}5-$year spot rate on a BEY basis? $(15$ points$)$ Consider the following three bonds $($see Table $1),$ which all have a par value of $\backslash (\backslash$$ $100\backslash )$ and pay coupons semiannually if the coupon rate is not zero. What is the $6\mathrm{.}5-$year spot rate on a BEY basis? $(15$ points$)$

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|\}$

$\backslash$hline $\backslash$hline Bond & Coupon Rate & Maturity$($yrs$)$ & Price $\backslash \backslash$

$\backslash$hline A & $3$ & $6$ & $106\backslash \backslash$

$\backslash$hline B & $0$ & $6$ & $75\backslash \backslash$

$\backslash$hline C & $4$ & $6\mathrm{.}5$ & $115\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$