Given instruments in the following table

$($a$)$ Extract the semiannual discount factors for $10$ years using the boot$-$

strap method with linear and log$-$linear interpolation in discount

factors.

$($b$)$ On the same graph, plot the semiannual zero$-$coupon yields $($For$-$

mula $2\mathrm{.}8$ with $w=0)$ for $6m,1y,$dots,$10y$ maturities for linear and

log $-$linear interpolation methods.

$($c$)$ Using the discount factor curve from the log$-$linear interpolation,

compute the price of a $5-$year, $1\%$ semiannual coupon bond and

convert the price using Fiormula $2\mathrm{.}5$ to a semiannual yield. Do the

same with a semiannual coupon rate of $8\%$ to observe the compon

effect on yields.

Hint: See Table $2\mathrm{.}5$

TAELE $2\mathrm{.}5$ Hint for bootstrap problem.