Question $7(16$ Points$)$ Common stock value $$ All growth models. Personal Finance Problem. You are evaluating the potential purchase of a small business currently generating $$40,000$ of after$-$tax cash flow. The company has $$25,000$ of Preferred Stock and $$150,000$ of debt. $($FCF$0=$ $$40,000).$ On the basis of a review of similar$-$risk investment opportunities, you must earn a rate of return of $9\%$ on the proposed purchase. Because you are relatively uncertain about future cash flows, you decide to estimate the firm$$s common stock value using three possible assumptions about the growth rate of cash flows. a$.(3)$ What is the firm$$s common stock value if cash flows are expected to grow at an annual rate of $0\%$ from now to infinity? $$\_\_\_\_\_\_\_\_\_\_\_\_\_$ Show all work: b$.(5)$ What is the firm$$s common stock value if cash flows are expected to grow at a constant rate of $6\%$ from now to infinity? $$\_\_\_\_\_\_\_\_\_\_\_\_\_$ Show all work: c$.(8)$ What is the firm$$s common stock value if cash flows are expected to grow at an annual rate of $10\%$ for the first $2$ years, followed by a constant annual rate of $6\%$ from year $3$ to infinity? $$\_\_\_\_\_\_\_\_\_\_\_\_\_$ Show