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?

Principles of Accounting Volume 2
19th Edition
ISBN:9781947172609
Author:OpenStax
Publisher:OpenStax
Chapter11: Capital Budgeting Decisions
Section: Chapter Questions
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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?
Transcribed Image Text: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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