Suppose an H1200 supercomputer has a cost of $450,000 and will have a residual market value of $135,000 in 6 years. The risk-free interest rate is 6.2% 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 $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 6 -year lease in a perfect market? The present value of the lease payments is $ (Round to the nearest dollar.) The risk-free monthly lease rate for a 6 -year lease in a perfect market is $ Cund. (Round to the nearest dollar.) b. What would be the monthly payment for a 6-year $500,000 risk-free loan to purchase the H1200 ? The monthly payment for the risk-free loan is $ (Round to the nearest dollar.)