please show your work

You have a potential project for which you want to establish the value of any possible real options. The project will have an initial cost of $86 million, which must be paid at the time of investment. You realize that the project has four possible cash flows starting in year 1 and continuing forever. First, there is a 23% chance of earning $1.5 million per year starting in year 1. Second, there is a 32% chance of earning $6.11 million per year starting in year 1 . Third, there is a 23% chance the the project will earn $5.68 million per year. Fourth, there is a chance that the project will earn $3.32. These are the only four possibilities. In 2 year(s), you will be able to improve the quality of your manufacturing process to increase the net CFs from the project if you would like to. The cost of this will be $62 million, and the cash flows will increase beginning immediately when you make this investment (the CFs increase arting the same year that you pay the improvement cost) and will remain at the new level forever, if you choose to 'improve' the project. The 'improvement' will increase the project's cash flows by 120%. The risk-free rate and appropriate discount rate for the project is 5%. What is the value today of this option to 'improve'? Hint: you can treat this the same way you would an expansion option. Input your answer in millions of dollars, rounded to the nearest 0.001 (e.g.: $19,056,129 would be entered as 19.056). answer you calculated) to determine whothorto out the calculation that you did (and the answer you calculated) to determine whether to exercise the option in the highest CF case: Type out the calculation that you did (and the answer you calculated) to determine whether to exercise the option in the higher mid-CF case: Type out the calculation that you did (and the answer you calculated) to determine whether to exercise the option in the lower mid-CF case: Type out the calculation that you did (and the answer you calculated) to determine whether to exercise the option in the lowest CF case: Type out the calculation or calculations that you did to value the option to 'improve' after you did the above calculations (do not repeat those calculations in this step). You may not need all of these blanks; just fill in the ones that you need: You have a potential project for which you want to establish the value of any possible real options. The project will have an initial cost of $86 million, which must be paid at the time of investment. You realize that the project has four possible cash flows starting in year 1 and continuing forever. First, there is a 23% chance of earning $1.5 million per year starting in year 1. Second, there is a 32% chance of earning $6.11 million per year starting in year 1 . Third, there is a 23% chance the the project will earn $5.68 million per year. Fourth, there is a chance that the project will earn $3.32. These are the only four possibilities. In 2 year(s), you will be able to improve the quality of your manufacturing process to increase the net CFs from the project if you would like to. The cost of this will be $62 million, and the cash flows will increase beginning immediately when you make this investment (the CFs increase arting the same year that you pay the improvement cost) and will remain at the new level forever, if you choose to 'improve' the project. The 'improvement' will increase the project's cash flows by 120%. The risk-free rate and appropriate discount rate for the project is 5%. What is the value today of this option to 'improve'? Hint: you can treat this the same way you would an expansion option. Input your answer in millions of dollars, rounded to the nearest 0.001 (e.g.: $19,056,129 would be entered as 19.056). answer you calculated) to determine whothorto out the calculation that you did (and the answer you calculated) to determine whether to exercise the option in the highest CF case: Type out the calculation that you did (and the answer you calculated) to determine whether to exercise the option in the higher mid-CF case: Type out the calculation that you did (and the answer you calculated) to determine whether to exercise the option in the lower mid-CF case: Type out the calculation that you did (and the answer you calculated) to determine whether to exercise the option in the lowest CF case: Type out the calculation or calculations that you did to value the option to 'improve' after you did the above calculations (do not repeat those calculations in this step). You may not need all of these blanks; just fill in the ones that you need