1 Assumptions: All Cash flows are expressed as after tax present values discounted to time zero, including capital expenditures At any point "failure," investment decision is to stop funding Assuming Standard deviation of 0.5 Using T= 7 years in Black-Scholes Valuation
2 Decision Tree See worksheet "Decision Tree"
3 Detailed description of Real Option Technique "First, using a decision tree, I came up with a simple expected value of $13,980,000 based on the costs to complete each phase, the probabilities of completing each phase, and the costs and probabilities associated with failure at each step in the approval process. The expected value of successful completion with Depression only was $36,390,000, for weight only $1,200,000 and for both $26,880,000. The expected value of failure (including failure at any phase) was ($59,490,000).
Next, I calculated the Valuations of each successful outcome using the decision tree analysis and the spectrum of outcomes with an asymetric distribution of rewards. Using the probability of 14.55%, which is the combined probability for any sucess, I recalculated the valuations of each success (Depression only, Depression only after testing for both in phase III, Weight only, etc). This gave me some drastically different valuations for those outcomes that had very small probabilities to begin with and ended with a summed expected value for the project of ($6,120,000). See the table below. "