Lowlife Company defaulted on a $$290,000$ loan that was due on December $31,2024.$ The bank has agreed to allow Lowlife to repay the $$290,000$ by making a series of equal annual payments beginning on December $31,2025.$

Required:

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

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

If the bank$$s interest rate is $10\%,$ how many annual payments of $$33,531$ would be required to repay the debt?

If three payments of $$108,492$ are to be made, what interest rate is the bank charging Lowlife?

Note: For all requirements, Use tables, Excel, or a financial calculator. $($FV of $$1,$ PV of $$1,$ FVA of $$1,$ PVA of $$1,$ FVAD of $$1$ and PVAD of $$1)$