Consider the following after-tax cash flows for an 8-year project life following a two-year investment period.

n	E(Fn)	Var(Fn)
0	-$500	502
1	-200	302
2	100	202
3	100	202
4	300	402
5	300	402
6	400	402
7	300	502
8	200	402

9 100 30²

The investment flows (F₀ and F₁) are independent of the operating cash flows (F₂ through F₉). The firm's MARR is 15%.

a. If the annual operating cash flows are mutually independent, determine the mean and variance of the PV of the project.

b. If the annual operating cash flows are perfectly correlated (positively) with one another, determine the mean and variance of the project.

c. In part a or part b, is it meaningful to compute the mean and variance of IRR of this project?

d. In part b, assume that all the project cash flows (including the investment flows) are normally distributed with the means and variances specified. What is the probablity that the PV of the project will exceed $200?

e. Supposed that the operating cash flows are negatively correlated with one another. Assume a perfect correlation coefficient of -1. Compute the variance of the project. What can you conclude from the variance calculation?