You run an online business and you are considering an upgrade to your website. The upgrade will cost you a one-time fee of $8,000 today. You expect that the upgrade will generate an additional profit flow of $5,000 per year. (This income stream is continuous and constant.) Assume that the interest rate is 8% compounded continuously. How long will it take for the upgrade to “pay for itself”? In other words, over what period of time will the present value of the additional profit generated by the upgrade be equal to the cost of the upgrade itself?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You run an online business and you are considering an upgrade to your website. The upgrade will cost you a one-time fee of $8,000 today. You expect that the upgrade will generate an additional profit flow of $5,000 per year. (This income stream is continuous and constant.) Assume that the interest rate is 8% compounded continuously. How long will it take for the upgrade to “pay for itself”? In other words, over what period of time will the present value of the additional profit generated by the upgrade be equal to the cost of the upgrade itself?
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