Suppose an H1200 supercomputer has a cost of $400,000 and will have a residual market value of $100,000 in 7 years. The risk-free interest rate is 6.3% APR with monthly compounding. a. What is the risk-free monthly lease rate for a 7-year lease in a perfect market? b. What would be the monthly payment for a 7-year $400,000 risk-free loan to purchase the H1200? Note: Round the monthly interest rate to at least six decimal places.