Secondary Mortgage Purchasing Company $($SMPC$)$ wants to buy your mortgage from the local savings and loan. The original balance of your mortgage was $$149,000$ and was obtained five years ago with monthly payments at $10$ percent interest. The loan was to be fully amortized over $30$ years.

Required:

a$.$ What should SMPC pay if it wants an $11$ percent return?

b$.$ What is the balance of the original loan after five additional years $(10$ years from origination$)?$