Return to the Sport Hotel project that was introduced in Topic $6$ of the course notes and also in Chapter $9$ on real options. Consider the original data as was given in the problem $($please refer to either your textbook or the course notes should you need to be reminded of these data$).$ Suppose that everything is the same as in that original set$-$up example except two things: $(1)$ the cost of building the hotel in Year $1$ is not $$1,000,000$ as in the original set$-$up but $$1,500,000$ instead, and $(2)$ cost of building the hotel in Year $2$ is not $$2,000,000$ as in the original set$-$up but $$1,500,000$ instead. Given these two changes, given that the probability of the city being awarded the franchise is $50\%,$ and incorporating the real option into the analysis, which of the following is closest to the project's NPV$?$ A$.$ NPV$=$$$1,000,000$ B$.$ NPV $=-$$$1,000,000$ C$.$ NPV$=-$$$750,000$ D$.$ NPV$=$$$750,000$ E$.$ NPV$=$$$100,000$