A project has the following projected outcomes in dollars: $250, $350, and $500. The probabilities of their outcomes are 25%, 50%, and 25%, respectively. What is the expected value of these outcomes?

Consider a project that has an initial cost of $100 million. The project has a payback period of 2 years. The required rate of return is 10%. What is the best case NPV? A) $0 B) $100 million C) -$100 million D) $50 million E) unlimited

The following information is available on two mutually exclusive projects. All numbers are in ‘000s. Project             Year 0             Year 1             Year 2             Year 3             Year 4 A                     $700                $300                $300                $400                $400 B                     $700                $600                $300                $200                $100   a: If the minimum acceptable rate of return is 10%, which project should be selected using the Net Present Value (NPV) method? Which project should be selected if the Internal Rate of Return (IRR) method is used?   b: At what cross‐over rate would the firm be indifferent between the two projects? What is the NPV for both projects at the crossover rate?   c: How much should cash flow in year 3 for project B increase or decrease in order for NPV(B) to be equal to NPV(A)?

c) Find the IRR and MIRR of the following project and make your decision. Assume that the project's cost of capital (or WACC) is 4%.Project X that costs $30 million is expected to generate $13m per year for 3 years. Is this project acceptable?

Thank you for calculating the IRR. Could you also answer the question "If the required return is 11 percent, should the firm accept the following project?". An explanation would also be extremely helpful. Thank you!