A company is evaluating the purchase of a new industrial robot. The robot costs $$2,000,000$ and can be depreciated to zero on a straight$-$line basis over its useful life of $8$ years. The robot is expected to have no salvage value. The robot is anticipated to generate additional revenues of $$800,000$ per year, while operating costs are estimated to be $$300,000$ per year. Operating cash flows are expected to increase with inflation, which is forecasted at $3\%$ per year. The risk$-$free rate of interest is $1\mathrm{.}5\%$ and the real interest rate is $5\%.$ The firm faces a corporate tax rate of $30\%.$ Calculate the NPV$.$ Should the company undertake the investment?