Rufaro has been a full$-$time student at the University of Manitoba for the past four years. She has just completed her bachelor of commerce degree from the Asper School of Business and her last day of exams was April $28.$ Her total student loan is $$30,000.$ She has decided to take her six$-$month grace period and convert it to principal, then start making payments of $$400$ per month using the variable interest rate of prime $+2\mathrm{.}5\%.$ The current prime rate is $4\mathrm{.}25\%.$ On January $10,$ she will make an additional payment of $$250$ toward her loan. On August $27$ and again on February $22,$ the prime rate rises by $0\mathrm{.}5\%.$ Construct a repayment schedule displaying only the first six months of payments. Calculate the total interest on her student loan charged for the entire year $($April $30$ to April $30).$ Assume February has $28$ days.

GRACE PERIOD CALCULATIONS

$\backslash$table$[[$Date$,\backslash$table$[[$Balance before$],[$Transaction$]],\backslash$table$[[$Annual$],[$Interest Rate$]],\backslash$table$[[$Number$],[$of Days$]],\backslash$table$[[$Interest$],[$Charged$]]],[,,,,],[,,,,]]$

$\backslash$table$[[$Date$,\backslash$table$[[\backslash$table$[[$Balance$],[$before$],[$Transaction$]]]],\backslash$table$[[$Annual$],[$Interest$],[$Rate$]],\backslash$table$[[$Number$],[$of Days$]],\backslash$table$[[$Interest$],[$Charged$]],\backslash$table$[[$Accrued$],[$Interest$]],\backslash$table$[[$Payment $(+)],[$or Advance $(-],[)]],\backslash$table$[[$Principal$],[$Amount$]],\backslash$table$[[$Balance$],[$after$],[$Transaction$]]],[,,,,,,,,],[,,,,,,,,],[,,,,$i$,,,,],[,,,,,,,,],[,,,,,,2,,],[,,,,,,,,],[,\sqrt[\phantom{2}]{8},,,,,,$b$,],[,,,,,,,,],[,,,,,,,,]]$