$($a$)$ Calculate the implied forward rate for a one$-$year security issued $3$ years from now, assuming semi$-$annual compounding of interest. This would be IFR$6,2$ in the notation used in the slides. Assume the three$-$year spot rate z$6$ is $2\mathrm{.}983\%$ and the four$-$year spot rate z$8$ is $2\mathrm{.}883\%.$ These are quoted as annual rates. $($Hint: remember to express the interest rates and periods in $6-$month terms, not annual terms, for your calculations. Also remember that your answer must be expressed in annual terms$)$