(Solution) - Martha and Melissa live two periods Both have earnings of -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Martha and Melissa live two periods. Both have earnings of $ 1000 in the present and Zero in the future. The interest rate is 9 %. Suppose that they are each subject to an income tax, and Martha's first period consumption is 300 while Melissa's is 400.
a) Who has the higher lifetime tax burden?
b) Under a proportional consumption tax, how would their lifetime tax burden compare?