$-$Your firm is considering leasing a new robotic milling control system. The operating lease lasts for $7$ years. The lease calls for $7$ payments of $$400,000$ per year with the first payment occurring at the beginning of the lease period. The system would cost $$2,450,000$ to buy and would be straight$-$line depreciated to a zero salvage value. The firm has enough cash on hand to purchase the asset. The actual salvage value is zero. The firm can borrow at $6\mathrm{.}0\%$ and the corporate tax rate is $20\%.$ Analyze the lease vs$.$ buy decision by recording the annual cash flows and calculating the NPV of each alternative to make your recommendation to management.

$*$ if the NPV of Leasing $=$ $ $1,865135$ and NPV of Buying $=$ $ $2,042,002$ what is the lease payment would make the firm indifferent between leasing versus buying the control system?