Compute the discount curve $Z(0,T)$ for $T=6$ month, $1$ year, $1\mathrm{.}5$ year, and $2$ years from the following data: a $6$ month ZCB priced at $$96\mathrm{.}80,$ a $1$ year note with $5\mathrm{.}75\%$ coupon priced at $$99\mathrm{.}56,$ a $1\mathrm{.}5$ year note with $7\mathrm{.}5\%$ coupon priced at $$100\mathrm{.}86,$ a $2$ year note with $7\mathrm{.}5\%$ coupon priced at $$101\mathrm{.}22.$