The Basalt Corporation is considering a new venture. Management has made the fol
ID: 2634821 • Letter: T
Question
The Basalt Corporation is considering a new venture. Management has made the following cash flow estimates for the project over the next three years under assumptions reflecting best, worst, and most likely scenarios in each year. The expected initial outlay (C0) is $1,000, and the cost of capital is 12%. The following probability distribution for best, worst and most likely conditions is constant from year to year: Worst case - C1 = $200 C2 = $300 C3 = $400 Most likely - C1 = $300 C2 = $400 C3 = $500 Best Case - C1 = $400 C2 = $500 C3 = $600 Best case 25% Most likely case 50% Worst case 25% Calculate the NPVs of the overall best, most likely, and worst case scenarios and the probability of each.
Explanation / Answer
NPV for best scenario = -1000 + $400/1.12 + $500/1.12^2 +$600/1.12^3 = $182.81
NPV for most likely scenario = -1000 + $300/1.12 + $400/1.12^2 +$500/1.12^3 =-$57.38
NPV for worst case scenario = -1000 + $200/1.12 + $300/1.12^2 +$400/1.12^3 =-$297.56
NPV for overall scenario = $182.81*25% + -$57.38*50% + -$297.56*25% = -57.38
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