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# answers-odd-problems-ch12 - Chapter 12 Real Options...

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Chapter 12 Real Options SOLUTIONS TO END-OF-CHAPTER PROBLEMS 12-1 a. 0 1 2 20 ├─────┼─────┼────── ────┤ -20 3 3 3 NPV = \$1.074 million. b. Wait 1 year: PV @ 0 1 2 3 21 Yr. 1 Tax imposed | | | | | 50% Prob . 0 -20 2.2 2.2 2.2 15.45 Tax not imposed | | | | | 50% Prob. 0 -20 3.8 3.8 3.8 26.69 Tax imposed: NPV @ Yr. 1 = (-20 + 15.45)/(1.13) = -4.027 Tax not imposed: NPV @ Yr 1 = (-20 + 26.69)/ (1.13) = 5.920 Expected NPV = .5(-4.027) + .5(5.920) = 0.947 Note though, that if the tax is imposed, the NPV of the project is negative and therefore would not be undertaken. The value of this option of waiting one year is evaluated as 0.5(\$0) + (0.5)(\$ 5.920) = \$2.96 million. Since the NPV of waiting one year is greater than going ahead and proceeding with the project today, it makes sense to wait. Mini Case: 12- 1 r= 13%

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12-3 a. 0 1 2 20 ├─────┼─────┼────── ────┤ -300
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answers-odd-problems-ch12 - Chapter 12 Real Options...

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