Discuss Modigliani and Miller's Propositions I and II in a perfect world without taxes nor distress costs. List the basic assumptions, results, and intuition of the model. Based on this model, if the original unlevered firm value is $100 million and the CFO is planning to carry out a leveraged recapitalization to a debt equity ratio of 1:1. What's the levered firm value? If the unlevered equity requires 10% annual return and the debt requires a 6% of annual return, what's the required return for the levered equity?Explain in words with mathematical basis and reinforcement.