A $100\mathrm{.}000,--$ loan shall be repaid entirely after $5$ years. Please show how the amount outstanding,

the repayments, the interest payments and the total payments evolve over time. The interest rate is

$10\%$ with annual interest payments.

$1.$ with annual installments of $20\mathrm{.}000.$

$2.$ with a bullet repayment of the loan.

$3.$ with annual annuity payments.