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The figure shows the assumtion that after the year of exhaustion, the price of gas is set by the price of imported liquefied natural gas (LNG). The price of LNG is a simple function of the assumed price of oil, since this appears to be how LNG prices are usually set in the real world. Prior to the year of exhaustion the price moves along a smooth curve from whatever price we assume in the year 2007 to the price of LNG in the year of exhaustion.