Assume a borrower is given the following options for repayment of a $$100,000$ loan: $5-$year amortizing loan paying interest at $8\mathrm{.}0$ percent, $5-$year non$-$amortizing loan at $8\mathrm{.}0$ percent, with principal due at maturity, and $5-$year amortizing loan at $8\mathrm{.}0$ percent, with interest$-$only payments for years $1-3,$ and principal of $$50,000$ for years $4-5.$ All interest rates are per annum. Show the payments for all three loans, including interest and principal payments, and balances every year.