You must analyze the forecasted risk and cash flows of a project at your firm to determine if it is a smart investment. The cost of the project is $$120$ million today. The forecasted cash flows at the end of each of the next $6$ years are $$30$ million. The project's beta is $1\mathrm{.}8.$ Assume the risk$-$free rate is $3\%$ and the expected return on the market is $13\%.$

a$)$ What is the net present value of the project?

b$)$ You recognize that your forecast of project beta could be in error, so you perform some additional analysis. Determine how high the beta could be and still generate a zero NPV$.$