You are considering making a movie. The movie is expected to cost $$$$10\mathrm{.}2$ million upfront and take a year to make. After$$ that, it is expected to make $$$$4\mathrm{.}2$ million in the first year it is released$($end of year $2)$ and $$$$2\mathrm{.}1$ million for the following $4$ years$($end of years $3$ through $6).$ What is the payback period of this$$ investment? If you require a payback period of $2$years$,$ will you make the$$ movie? Does the movie have positive NPV if the cost of capital is $10\mathrm{.}4\%?$