Suppose an H1200 supercomputer has a cost of $500,000 and will have a residual market value of $75,000 in 4 years. The risk-free interest rate is 5.7% APR with monthly compounding. a. What is the risk-free monthly lease rate for a 4-year lease in a perfect market? b. What would be the monthly payment for a 4-year $500,000 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 4-year lease in a perfect market? The present value of the lease payments is $ 440258 . (Round to the nearest dollar.) The risk-free monthly lease rate for a 4-year lease in a perfect market is $ 10230 . (Round to the nearest dollar.) b. What would be the monthly payment for a 4-year $500,000 risk-free loan to purchase the H1200? The monthly payment for the risk-free loan is $ 3486|| (Round to the nearest dollar.)