A company borrows $$172,500$ from a bank. The interest rate on the loan is $6$ percent compounded semiannualy. The company agrees to repay the loan in equal semiannualy installments over the next five years. The first payment is to be made six months from now. $($Use factor table in Appendix B for calculation$)$

Required $1$: What is the amount of each semiannual payment? $

$15498\mathrm{.}68$

Required $2$: In the first payment, what is the amount of interest cancelled? $

$5175$

Required $3$: In the fifth payment, what is the amount of loan paid net of interest? $

$10323\mathrm{.}68$

Required $4$: In the last payment, what is the amount of interest cancelled? $

Required $5$: Assume the debt contract has the option to make one extraordinary payment of up to $20\%$ of the principal. If the company decides to exercise the right and make the extra payment together with the $8$th payment, how much it must pay in dollars at the $9$th payment to pay off the loan? $