Lewis Securities Inc. has decided to acquire a new market data and quotation system for its Richmond home office. The system receives current market prices and other information from several online data services and then either displays the information on a screen or stores it for later retrieval by the firm$$s brokers. The system also permits customers to call up current quotes on terminals in the lobby.

The equipment costs $$1,000,000$ and, if it were purchased, Lewis could obtain a term loan for the full purchase price at a $10\%$ interest rate. Although the equipment has a $6-$year useful life, it is classified as a special$-$purpose computer and therefore falls into the MACRS $3-$year class. If the system were purchased, a $4-$year maintenance contract could be obtained at a cost of $$20,000$ per year, payable at the beginning of each year. The equipment would be sold after $4$ years, and the best estimate of its residual value is $$200,000.$ However, because real$-$time display system technology is changing rapidly, the actual residual value is uncertain.

As an alternative to the borrow$-$and$-$buy plan, the equipment manufacturer informed Lewis that Consolidated Leasing would be willing to write a $4-$year guideline lease on the equipment, including maintenance, for payments of $$260,000$ at the beginning of each year. Lewis$$s marginal federal$-$plus$-$state tax rate is $25\%.$ You have been asked to analyze the lease$-$versus$-$purchase decision and, in the process, to answer the following questions.

$(1)$

What is the present value of owning the equipment? $($Hint: Set up a time line that shows the net cash flows over the period t $=0$ to t $=4,$ and then find the PV of these net cash flows, or the PV of owning.$)$

$(2)$

What is the discount rate for the cash flows of owning?