Your colleague is constructing a table to calculate the duration of $5$ year annual coupon paying bonds issued by American Expresso at an effective annual yield of $5\%$ pa$.$ The bonds have a face value of $$150,000$ and an effective annual coupon rate of $12\%$ pa$.$ Unfortunately your colleague is unwell and has taken the day off work. You have been asked to complete the calculations to present at a meeting.

a$)$ Complete the table for your colleague. Give your answers to $4$ decimal places.

$\backslash$table$[[$Cash flow,$\backslash$table$[[$Amount$],[($$$)]],\backslash$table$[[$Present value of$],[$the cash flow$],[($PVCF$)]],\backslash$table$[[$Weight$],[($PVCF$/$price$)]]],[1,18,000,17,142\mathrm{.}8571,0\mathrm{.}0877],[2,18,000,16,326\mathrm{.}5306,0\mathrm{.}0835],[3,18,000,15,549\mathrm{.}0768,0\mathrm{.}0796],[4,18,000,14,808\mathrm{.}6445,0\mathrm{.}0758],[5,,,]]$