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A manufacturer plans to launch a new product line. Product line will be viable for 8 years. Annualized cost of capital is 8%. Initial

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A manufacturer plans to launch a new product line. Product line will be viable for 8 years. Annualized cost of capital is 8%. Initial CapEx 10 = 5000. There are two possible market states: Good (G) vs Poor (P), which will be known by the end of the first year of operations. The market state will be G with probability 0.3, or P with probability 0.7. If market state is G, the cash flow generated by the product line will be a growing annuity with FCF= 800 in year 1 and yearly growth rate being 12% for remaining time. If market state is P, the cash flow generated by the product line will be another growing annuity with FCF= 400 in year 1 and a growth rate of 4%. Suppose the manufacturer could undertake a market survey to obtain information about the market state in year 1. There are 3 information outcomes from the survey: E: project prospects are outstanding - 85% chance of excellent profitability. M: project prospects are good - 60% chance of modest profitability. B:project prospects are poor - 30% chance of breakeven. The reliability of the market survey is as follows. Conditional on market state being G, the probabilities of getting E, M, B out of the survey are 0.5, 0.2, 0.3, respectively. Conditional on market state being P, the probabilities of getting E, M, B out of the survey are 0.2, 0.4, 0.4, respectively. What is the value of this survey?

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