Suppose an H1200 supercomputer has a cost of $100,000 and will have a residual market value of $30, 000 in 6 years. The risk-free interest rate is 5.2 % APR with monthly compounding.

a. What is the risk-free monthly lease rate for a 6-year lease in a perfect market?

b. What would be the monthly payment for a 6-year $100,000 risk-free loan to purchase the H1200?

Note: Round the monthly interest rate to at least six decimal places.