LOS h: Calculate the net present value (NPV) of a venture capital project, given the project's possible payoff and conditional failure probabilities.
Q1. An investor is considering investing in a venture capital project that will have a large payoff at exit, which is estimated to occur in four years. The investor realizes that the risk of failure is high, given the following estimated probabilities:
Year |
1 |
2 |
3 |
4 |
Failure Probability |
0.30 |
0.28 |
0.28 |
0.25 |
The probability that the project will survive to the end of the fourth year is:
A) 25.00%.
B) 27.22%.
C) 27.75%.
Q2. Which of the following statements regarding venture capital theory is TRUE?
A) The probability of failure for a venture capital project will diminish over time.
B) The net present value of a venture capital project that fails is zero.
C) A venture capital project’s expected NPV is a probability-weighted average of the two possible outcomes: success and failure.
Q3. A portfolio manager is analyzing a $2,000,000 venture capital investment. If the project succeeds until the end of the sixth year, the net present value (NPV) of the project is $6,587,000. The project has a 32.69 percent probability of surviving to the end of the sixth year. The expected NPV of the project is:
A) $6,587,000.
B) $2,153,290.
C) $807,090.
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