Suppose you purchase a $$1,000$ TIPS on January $1,2024.$ The bond carries a fixed coupon of $4$ percent. Over the first two years, semiannual inflation is $3$ percent, $1$ percent, $4$ percent, and $4$ percent, respectively. For each six$-$month period, calculate the accrued principal and coupon payment.

Note: Do not round intermediate calculations. Round your answers to $2$ decimal places.

$\backslash$table$[[,\backslash$table$[[$Accrued$],[$Principal$]],\backslash$table$[[$Coupon$],[$Payment$]]],[$First $6$ months,,$],[$Second $6$ months,,$],[$Third $6$ months,,$],[$Fourth $6$ months,,$]]$