Exercise $4(15$ points$)$

The Western Railway Company $($WRC$)$ has been offered a $100-$year contract to haul a fixed amount of coal each year from Wyoming to Illinois. Under the terms of the agreement, WRC will receive $$4,200,000$ now in exchange for its hauling services valued at $$360,000$ at the end of year $($EOY$)$ one, $$375,000$ at EOY $2$ and continuing to grow by $$15,000$ per year through EOY $100.$ If WRC$\text{'}$s cost of capital is $12\%$ per year, is this a profitable agreement for WRC$?$