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What is the annual rate of return of purchase

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In 1803, the U.S. doubled in size with the Louisiana Purchase. That well-known real estatemogul Napoleon Bonaparte sold us 827,000 square miles (529,280,000 acres-there are 640 acresin a square mile). We paid $15 million. Assume that part of the US is worth an average of $5,000per acre in 2015. What is the annual rate of return of this purchase for the U.S.?

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