Question: Spring 2019 Chapter 2: Annuities MAT 3541 Part D Basic problems 1. A perpetuity has payments of w, w, 2w, 2w, 3w, 3w,.. with payments

Spring 2019 Chapter 2: Annuities MAT 3541 Part D Basic problems 1. A perpetuity has payments of w, w, 2w, 2w, 3w, 3w,.. with payments made at the end of each year. The present value using an annual effective interest rate of 10% of this perpetuity is equal to the present value of the geometrically increasing perpetuity with initial payment w and each subsequent payment increasing by a factor of 1+r. Calculate r. [Ans. 0.0826]
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