Free cash flow valuation$$You are evaluating the potential purchase of a small business with no debt or preferred stock that is currently generating $$$$42,900$ of free cash flow $($FCF $0=$$$42,900).$ On the basis of a review of$$ similar$-$risk investment$$ opportunites, you must earn$$ a$($n$)19\%$ rate of return on the proposed purchase. Because you are relatively uncertain about future cash$$ flows, you decide to estimate the$$ firm's value using several possible assumptions about the growth rate of cash flows.

a$.$ What is the$$ firm's value if cash flows are expected to grow at an annual rate of$0\%$ from now to$$ infinity?

b$.$ What is the$$ firm's value if cash flows are expected to grow at a constant annual rate of $7\%$ from now to$$ infinity?

c$.$ What is the$$ firm's value if cash flows are expected to grow at an annual rate of $12\%$ for the first $2$ years, followed by a constant annual rate of $7\%$ from year $3$ to$$ infinity?

Please solve with numbers, not words.