An investor is considering to purchase a new firm, with $(1)$ assets in place, worth $$100$ million, and $(2)$ a patented technology. What is the value of the firm, if the implementation of the technology with result in PV of $$50$ million, will require the investment of $$200$ million, the uncertainty of the returns from the patented technology $($if implemented$)$ is $80\%($based on Monte Carlo simulations$),$ the patent protection is for $10$ years, and the firm does not anticipate to immediate implement said technology?