JB is analyzing buying a part of DS Inc. The deal would require $$100$ million initially. Looking through analysis, the expected exit for the deal is at the end of $2$ year selling equity for $$250$ million. The expected return available on investments with similar risk is $8\%.$

A$)$ What is the NPV of this deal? What is the IRR of this deal?Show all calculations and steps

B$)$ There is an alternative structure in which you would exit the deal at the end of the first year but sell your equity stake for $$230$ million. What is the NPV of this alt deal? What is the IRR of this alt deal? Show all calculation and steps.

C$)$ Which structure for the deal selling end of year $2$ or year $1$ makes most sense and why?