A 3-year loan of $120,000 requires monthly payments of $3,500 with continuous compounding. These payments include both principal and interest.

a) What is the nominal annual interest rate for this loan? (Use linear interpolation!)

b) What is the effective monthly interest rate for this loan?

c) What is the final balance at the end of the 8th month?

d) What are the principal payment and the interest payment at the end of the 9th month?