Asked by Kennedy Clarkson on May 28, 2024
Verified
An oil producer discovers an oil supply in Texas that can be pumped for a profit of $60 per barrel now, $65 per barrel in three years, $70 per barrel in five years, or $75 a barrel in seven years. The current market rate of interest is 5 percent. When should the oil producer extract the oil to obtain the most profit per barrel in present value terms?
A) five years
B) three years
C) seven years
D) today
Present Value
The present value of a future amount of money or series of cash flows, using a given rate of return.
Market Rate
The prevailing price or cost of products, services, or labor in a competitive marketplace as determined by supply and demand.
Interest
The cost of borrowing money, typically expressed as a percentage rate over a period of time, or the return on investment for savings.
- Ascertain and interpret the present and future values in the context of economical decision-making.
Verified Answer
ES
Elizabeth SmithJun 02, 2024
Final Answer :
D
Explanation :
To determine the most profit per barrel in present value terms, we calculate the present value (PV) of the profits for each option using the formula PV = FV / (1 + r)^n, where FV is the future value (profit per barrel), r is the interest rate (5% or 0.05), and n is the number of years. Calculating for each:- Today: $60 (no need to discount, it's already in present value terms).- In three years: $65 / (1 + 0.05)^3 ≈ $56.23.- In five years: $70 / (1 + 0.05)^5 ≈ $54.83.- In seven years: $75 / (1 + 0.05)^7 ≈ $53.45.The highest present value is $60, which is obtained by extracting the oil today.
Learning Objectives
- Ascertain and interpret the present and future values in the context of economical decision-making.