Please show ALL work, equations and explanatioins

5.(20 points). Broadway Inc. is considering a new musical. The initial investment required is $880,000. Every year, the free cash flow from the project is expected to be $80,000, continuing forever (Hint: think about a perpetuity). a. What is the NPV of the project? b. In fact, the annual cash flow of $80,000 is an expected value: there is a 50% chance that annual cash flow will be $180,000 and a 50% chance that it will be -$20,000. What is the expected NPV of the project if the company cannot abandon the project? c. What is the true NPV of the project if the company can abandon the project after the first year? d. What is the value of the option to abandon? 5.(20 points). Broadway Inc. is considering a new musical. The initial investment required is $880,000. Every year, the free cash flow from the project is expected to be $80,000, continuing forever (Hint: think about a perpetuity). a. What is the NPV of the project? b. In fact, the annual cash flow of $80,000 is an expected value: there is a 50% chance that annual cash flow will be $180,000 and a 50% chance that it will be -$20,000. What is the expected NPV of the project if the company cannot abandon the project? c. What is the true NPV of the project if the company can abandon the project after the first year? d. What is the value of the option to abandon