An investment is valued approximately by the function f (t) = 50, 000e0:2v If the annual discount rate is 5%, when would the present value of this investment be maximized? What is this optimal present value of the investment? What is the initial value of the investment at the zero moment? Use a second-order condition to prove that the present value is, indeed, maximized.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter16: The Markets For Labor, Capital, And Land
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An investment is valued approximately by the function f (t) = 50, 000e0.2vt If the annual discount rate is 5%, when would the present value of this investment be maximized? What is
this optimal present value of the investment? What is the initial value of the investment at the zero moment? Use a second-order condition to prove that the present value is, indeed,
maximized.
Transcribed Image Text:An investment is valued approximately by the function f (t) = 50, 000e0.2vt If the annual discount rate is 5%, when would the present value of this investment be maximized? What is this optimal present value of the investment? What is the initial value of the investment at the zero moment? Use a second-order condition to prove that the present value is, indeed, maximized.
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