Billy Bob Czajkowski is analyzing an investment with the following future annual cash flows:

CF$1$ $$32,000$

CF$2$ $$38,000$

CF$3$ $$54,000$

CF$4$ $$143,000$

a$.$ Assuming that Billy Bob has a required rate of return of $13\%,$ what is the most he can invest and still earn that rate?

b$.$ If Billy Bob is able to make the investment for $$140,000,$ what rate of return will he earn?

Write and clearly label your answer in the appropriate box.