Suppose that an oil well is expected to produce 1,200,000 barrels of oil during its first year in production. However, its subsequent production (yield) is expected to increase by 9% over the previous year's production. The oil well has a proven reserve of 10,500,000 barrels. (a) Suppose that the price of oil is expected to be $120 per barrel for the next six years. What would be the present worth of the anticipated revenue stream at an interest rate of 10% compounded annually over the next six years? (b) Suppose that the price of oil is expected to start at $120 per barrel during the first year, but to increase at the rate of 3% over the previous year's price. What would be the present worth of the anticipated revenue stream at an interest rate of 10% compounded annually over the next six years? (c) Consider part (b) again. After three years' production, you decide to sell the oil well. What would be a fair price?

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter16: The Markets For Labor, Capital, And Land
Section: Chapter Questions
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Suppose that an oil well is expected to produce 1,200,000 barrels of oil during its first
year in production. However, its subsequent production (yield) is expected to increase
by 9% over the previous year's production. The oil well has a proven reserve of
10,500,000 barrels.

(a)
Suppose that the price of oil is expected to be $120 per barrel for the next six years.
What would be the present worth of the anticipated revenue stream at an interest rate
of 10% compounded annually over the next six years?
(b)
Suppose that the price of oil is expected to start at $120 per barrel during the first
year, but to increase at the rate of 3% over the previous year's price. What would be
the present worth of the anticipated revenue stream at an interest rate of 10%
compounded annually over the next six years?
(c)
Consider part (b) again. After three years' production, you decide to sell the oil well.
What would be a fair price?

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