Tom plans to borrow $$10,000$ from Jerry and repay the loan in $5$ years at a compound interest rate of $5\%$ per year.

$($a$)$ complete the following two repayment plans.

$($b$)$ draw the cash flow diagrams of Plan B for Tom and Jerry, respectively.

Plan A: Pay all at end.

$\backslash$table$[[$End of Year,$\backslash$table$[[$Interest Owed$],[$for Year$]],\backslash$table$[[$Total Owed at$],[$End of Year$]],\backslash$table$[[$End$-$of$-$Year$],[$Payment$]],\backslash$table$[[$Total Owed$],[$after Payment$]]],[0,,,,10000],[1,,,,],[2,,,,],[3,,,,],[4,,,,],[5,,,,],[$Totals$,,,,]]$

Plan B: Portion of principle repaid annually, which means the accrued interest and one$-$fifth of the principal is repaid each year. $($$$)$

$\backslash$table$[[$End of Year,$\backslash$table$[[$Interest Owed$],[$for Year$]],\backslash$table$[[$Total Owed at$],[$End of Year$]],\backslash$table$[[$End$-$of$-$Year$],[$Payment$]],\backslash$table$[[$Total Owed$],[$after Payment$]]],[0,,,,10000],[1,,,,],[2,,,,],[3,,,,],[4,,,,],[5,,,,],[$Totals$,,,,]]$

$3$