A company is considering an investment of $460,000 in a non-current asset expected to generate substantial cash inflows over the next five years. Unfortunately, the annual cash flows from this...

A company is considering an investment of $460,000 in a non-current asset expected to generate substantial cash inflows over the next five years. Unfortunately, the annual cash flows from this investment are uncertain, but the following probability distribution has been established.
Annual Cash Flow ($)        Probability
50,000                                  0.3
100,000                                0.5
150,000                                0.2
At the end of its five-year life, the asset is expected to sell for $40,000. The cost of capital is 5%. Should the investment be undertaken?