Your aunt owns a gold mine. The marginal extraction cost of gold is $25 and remains constant over time. The current market price of a unit of gold is $200. Your aunt's appropriate discount rate is 12%

Next year, your aunt expects the price of a unit of gold to be $222. Should your aunt extract any gold from the mine this year?


No, she should not extract and sell any gold currently. This is because the return on the gold left in the mine exceeds her discount rate. That is,
(Pt+1 - c) > (1 + r)( Pt - c) → (222 - 25 ) > (1.12 )(200 - 25 ).

Economics

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