4. BioElectroMechanical Systems (BEMS) is a startup company with high po- tential and little available cash. They obtain $500,000 for necessary technology from a venture capitalist, who charges them 24% compounded monthly. The agreement calls for no payment until the end of the first month of the 4th year, with equal monthly payments thereafter for 3 complete years (36 payments).

a. How much are the monthly payments?

b. What is the total interest paid to the lender?

c. What is the total principal paid to the lender?

d. If BEMS is doing incredibly well and would like to pay off the debt immedi- ately after making the 24th payment in month 60, how much must they pay?