Question $8$: In an effort to shorten the debt period, assume instead that the creditor of Juggernaut's note payable in Question $7$ offers to allow Juggernaut to pay $$321,446$ at each year$-$end for $4$ years to clear the same current present value of $$1,041,396.$ What annual interest rate is being assumed by the notes. new terms? Use the RATE formula.

Question $9$: Juggernaut loans a customer $$74,500$ in cash now. In exchange, the customer will pay a lump$-$sum of $$83,708$ in the future assuming $6\%$ annual interest. In how many years will the customer be paying off their loan? Use the NPER formula.

Question $10$: Assume instead that the customer in Question $9$ wants to restructure the loan terms where they will now pay $$13,352$ at the beginning of each semiannual period with an $6\%$ annual interest and semiannual compounding being assumed. If the present value of the note stays $$74,500,$ how many semiannual periods will it take the customer to pay off this restructured loan? Use the NPER formula.