An annuity is paid at a rate of $250 per month. Assume that investments can earn interest at 4% per year compounded continuously throughout the life of the annuity payments. What is the present value of this annuity if it is paid out over 10 years? What is the present value of this annuity if it is paid out in perpetuity? In each case, what does the present value of the annuity represent?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.59TI: New grandparents decide to invest 3200 per month in an annuity for their grandson, The account will...
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An annuity is paid at a rate of $250 per month. Assume that investments can earn interest at 4% per year compounded continuously throughout the life of the annuity payments. What is the present value of this annuity if it is paid out over 10 years? What is the present value of this annuity if it is paid out in perpetuity? In each case, what does the present value of the annuity represent?

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