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12-68 A corporation with $7 million in annual taxable income, paying 34% income tax, is considering two alternatives: Year 0

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Answer #1

Solving this problem using NPW with MIRR of 10% after taxes.

NPW (alt 1 ): -10000+4500/(1+0.1)+4500/(1+0.1)^2+......+4500/(1+0.1)^10=17650.55

NPW (alt 2 ): -20000+4500/(1+0.1)+4500/(1+0.1)^2+......+4500/(1+0.1)^20=18311.04

Since alt 2 has a higher NPW value and more life time than alt 1, the corporation should go with alt 2 because it long term with higher usable value and for a corporation with 7 million taxable annual income should definitely have a longer time period. The present worth of all the cash flows (inflows are positive and outflows are negative). So alt 2 should be chosen by the corporation.

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