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A slightly more complicated net present value problem The equation for net present value (NPV) is: NPV = {=o8+14 where 8 is the discount factor

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A slightly more complicated net present value problem The equation for net present value (NPV) is: NPV = {=o8+14 where 8 is the discount factor and It is income in period t. Let S = 0.9. Suppose a risk-neutral individual has two potential career paths, A (career straight from high school) and B (career after college), each which give different levels of income over 5 periods. If the individual chooses path A, their income (I) in each of the 5 periods is: 10 = 25,000, 11 = 25,000, 12 = 30,000, 13 = 35,000, 14 = 40,000. If the individual chooses path B, there is some probability, p, that the individual will drop out of college and work in the job that only requires a high school education, and a probability, (1 p), that the individual will graduate college and work in the job that requires a college education. Let p = 0.1. If the individual drops out of college, their income is: 1. = 10,000, 11 = 25,000, 12 = 30,000, 13 = 35,000, 14 = 40,000. If the individual graduates college, their income is: 1o = -10,000, 11 = -10,000, 12 = 55,000, 13 = 65,000, 14 = 70,000. Calculate the NPV for career paths A and B and explain which path the individual should take if they base their decision solely on NPV. (5 points)

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