$8.$ If it is known that $s_1=1\mathrm{.}2\%,s_2=1\mathrm{.}5\%,s_3=2\mathrm{.}0\%,$ and $s_4=2\mathrm{.}2\%,$ find the initial price and yield rate of a $4-$period $$1000$ bond with coupon rate $1\%.$