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Consider an annual perpetuity due with initial payment of $100, and amounts increasing by a factor of 3% each year and, in parallel, decreasing by

Consider an annual perpetuity due with initial payment of $100, and amounts increasing by a factor of 3% each year and, in parallel, decreasing by a factor of 2% every two years.

Find the present value of this perpetuity at time 0, if the effective annual interest rate is 4% throughout.

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