Suppose an H1200 supercomputer has a cost of $450,000 and will have a residual market value of $67,500 in 5 years. The risk-free interest rate is 5.7%APR with monthly compounding. a. What is the risk-free monthly lease rate for a 5-year lease in a perfect market? b. What would be the monthly payment for a 5-year $450,000 risk-free loan to purchase the H1200 ? Note: Round the monthly interest rate to at least six decimal places. a. What is the risk-free monthly lease rate for a 5-year lease in a perfect market? The present value of the lease payments is $. (Round to the nearest dollar.)