Consider a project with free cash flows in one year of $$132,100($weak economy$)$ or $$186,300($strong economy$),$ with each outcome being equally likely. The initial investment required for the project is $$99,300,$ and the project's cost of ca pital is $20\%.$ The risk$-$free interest rate is $10\%.$ a$.$ What is the NPV of this project? b$.$ Suppose that to raise the funds for the initial investment, the project is sold to investors as an all$-$equity firm. The equity holders will receive the cash flows of the project in one year. How much money can be raised in this way$-$ that is$,$ what is the initial market value of the unlevered equity? c$.$ Suppose the initial $$99,300$ is instead raised by borrowing at the risk$-$free interest rate. What are the cash flows of the levered equity, what is its initial value and waht is the initial equity according to MM$?$