(Complex annuity)

Upon graduating from college 40 years ago, Dr. Nick Riviera was already thinking of retirement. Since then, he has made deposits into his retirement fund on a monthly basis in the amount of $100. Nick has just completed his final payment and is at last ready to retire. His retirement fund has earned 10.9% interest compounded monthly.

a. How much has Nick accumulated in his retirement account?

b. In addition to all this, 20 years ago, Nick received an inheritance check for $20,000 from his beloved uncle. He decided to deposit the entire amount into his retirement fund. What is his current balance in the fund?