Borussia Dortmund Manufacturing Company (BDMC) is considering a 3-year project, which has the following probability distributions for possible end-of-year cash flows in each of the next three years:

Year 1 Year 2 Year 3

Prob. Cash Flow Prob. Cash Flow Prob. Cash Flow

0.30 $300 0.15 $100 0.25 $200

0.40 500 0.35 200 0.75 800

0.30 700 0.35 600

0.15 900

The probability distributions for possible weighted average cost capital, given three options of financing the project, is given as:

Prob. WACC

0.30 10%

0.40 8%

0.30 6%

What is the expected net present value of the project assuming initial cash out of $2,000? Show work.