Please provide accurate solution with all steps and calculations

U$.$S$.$ Treasuries represent a significant holding in many pension portfolios. You decide to analyze the yield curve for U$.$S$.$ Treasury notes.

a$.$ Using the data in the table below, calculate the $5-$year spot and forward rates assuming annual compounding. Show your calculations.

U$.$S$.$ Treasury Note Yield Curve Data

$\backslash$table$[[$Years to Maturity,$\backslash$table$[[$Par Coupon$],[$Yield to Maturity$]],\backslash$table$[[$Calculated$],[$Spot Rates$]],\backslash$table$[[$Calculated$],[$Forward Rates$]]],[1,5\mathrm{.}00,5\mathrm{.}00,5\mathrm{.}00],[2,5\mathrm{.}20,5\mathrm{.}21,5\mathrm{.}42],[3,6\mathrm{.}00,6\mathrm{.}05,7\mathrm{.}75],[4,7\mathrm{.}00,7\mathrm{.}16,10\mathrm{.}56],[5,7\mathrm{.}00,?,?$