Lowlife Company defaulted on a $$170,000$ loan that was due on December $31,2021.$ The bank has agreed to allow Lowlife to repay the $$170,000$ by making a series of equal annual payments beginning on December $31,2022.($FV of $$1,$ PV of $$1,$ FVA of $$1,$ PVA of $$1,$ FVAD of $$1$ and PVAD of $$1)($Use appropriate factor$($s$)$ from the tables provided.$)$

Required:

$1.$ Calculate the required annual payment if the bank$$s interest rate is $10\%$ and four payments are to be made.

$2.$ Calculate the required annual payment if the bank$$s interest rate is $8\%$ and five payments are to be made.

$3.$ If the bank$$s interest rate is $10\%,$ how many annual payments of $$27,667$ would be required to repay the debt?

$4.$ If three payments of $$63,011$ are to be made, what interest rate is the bank charging Lowlife?