Topic6

Question 1

Definition of Exhaustible Resources

Answer 1

Exhaustible resources are natural resources:

• Not renewable
• Produced by geological processes over millions of years
• Examples include: oil, coal, natural gas, and minerals (e.g., copper, nickel).

Question 2

Hotelling Rule (1931)

Answer 2

The Hotelling Rule explains:

• Resource owners balance current extraction profits with future value.
• Prices increase over time to ensure returns match the interest rate (r).
• Rent (profit) = price - extraction cost.

Question 3

Key Cases in Resource Management

Answer 3

Three scenarios for resource management:

• Stock remains untouched
• Sell entire stock immediately
• Equilibrium: No arbitrage, balancing extraction and preservation.

Question 4

Story of a Mine Owner

Answer 4

Mine owner’s optimisation dilemma:

• Extract now for immediate profit vs conserve for future value.
• Influenced by:
  
  • Resource stock constraints
  • Future price expectations
  • Interest (discount) rate.

Question 5

Effects of Substitution

Answer 5

Substitution between inputs (e.g., capital & resources):

• No substitution: Output limited to the smaller input quantity.
• Perfect substitution: Inputs fully interchangeable.
• Intermediate: Sustainability depends on investment and substitution.

Question 6

Dynamic Equilibrium in Hotelling Rule

Answer 6

Dynamic equilibrium:

• Resource owners are indifferent between extracting now or later.
• Prices must rise over time to equalise returns between extraction and savings.

Question 7

Role of Extraction Costs

Answer 7

Including extraction costs modifies Hotelling Rule:

• Net profit = Price - Marginal extraction cost.
• Growth rate of net profit aligns with the interest rate.

Question 8

Impact of Backstop Technology

Answer 8

Backstop technology provides a substitute for resources when prices are too high:

• Marginal cost of this technology sets a price ceiling.

Question 9

Resource Pricing in Monopoly

Answer 9

• Prices set above marginal revenue (static).
• Resource paths can match perfect competition under dynamic conditions.

I don’t fully understand the second point

Question 10

Elasticity of Substitution

Answer 10

Elasticity of substitution determines how easily non-renewable resources can be replaced by other inputs:

• High elasticity supports sustainability.
• Low elasticity increases reliance on finite resources.