Suppose an H1200 supercomputer has a cost of $ 250,000and will have a residual market value of $ 62,500in 7years. The risk-free interest rate is 6.4 %APR with monthly compounding.a. What is the risk-free monthly lease rate for a 7-yearlease in a perfect market?b. What would be the monthly payment for a 7-year$ 250,000risk-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 7-yearlease 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 7-yearlease in a perfect market is $. (Round to the nearest dollar.)

b. What would be the monthly payment for a 7-year$ 250,000risk-free loan to purchase the H1200?The monthly payment for the risk-free loan is $. (Round to the nearest dollar.)