Consider a 6-year lease for a $450,000 bottling machine, with a residual market value of $180,000 at the end of 6 years. If the risk-free interest rate is 6.3% APR with monthly compounding, compute the monthly lease payment in a perfect market for the following leases:

a. A fair market value lease.

b. A $1.00 out lease.

c. A fixed price lease with an $99,000 final price.