To determine the NPV using local cash flows and foreign cash flows, we need to calculate the net cash flows for each year and then discount them using the appropriate discount rate.
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Calculate the net cash flows for each year: Year 1: 300,000,000 - (300,000,000 * 0.3) = 210,000,000 Year 2: 320,000,000 - (320,000,000 * 0.3) = 224,000,000 Year 3: 350,000,000 - (350,000,000 * 0.3) = 245,000,000 Year 4: 340,000,000 - (340,000,000 * 0.3) = 238,000,000 Year 5: 330,000,000 - (330,000,000 * 0.3) = 231,000,000
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Calculate the NPV using local cash flows: NPV_local = (210,000,000 / (1 + 0.12)^1) + (224,000,000 / (1 + 0.12)^2) + (245,000,000 / (1 + 0.12)^3) + (238,000,000 / (1 + 0.12)^4) + (231,000,000 / (1 + 0.12)^5) - 800,000,000 NPV_local = 210,000,000 / 1.12 + 224,000,000 / 1.2544 + 245,000,000 / 1.4049 + 238,000,000 / 1.5744 + 231,000,000 / 1.7599 - 800,000,000 NPV_local = 187,500,000 + 178,571,429 + 174,603,175 + 151,515,152 + 131,481,481 - 800,000,000 NPV_local = -876,818,763
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Calculate the NPV using foreign cash flows: NPV_foreign = (300,000,000 / (1 + 0.12)^1) + (320,000,000 / (1 + 0.12)^2) + (350,000,000 / (1 + 0.12)^3) + (340,000,000 / (1 + 0.12)^4) + (330,000,000 / (1 + 0.12)^5) - (800,000,000 / 57.50) NPV_foreign = 300,000,000 / 1.12 + 320,000,000 / 1.2544 + 350,000,000 / 1.4049 + 340,000,000 / 1.5744 + 330,000,000 / 1.7599 - 13,913,043 NPV_foreign = 267,857,143 + 254,237,288 + 249,206,349 + 217,391,304 + 187,500,000 - 13,913,043 NPV_foreign = 1,162,179,041
Therefore, the NPV using local cash flows is -876,818,763 and the NPV using foreign cash flows is 1,162,179,041.
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