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Although appealing to more refined tastes, art as a collectible has not always p

ID: 2808176 • Letter: A

Question

Although appealing to more refined tastes, art as a collectible has not always performed so profitably. Assume that in 2015, an auction house sold a statute at auction for a price of $10,710,500. Unfortunately for the previous owner, he had purchased it in 2010 at a price of $12,738,500. What was his annual rate of return on this sculpture? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Rate of return

Explanation / Answer

Annual rate of return = (Price of sculpture in 2015/Price of sculpture in 2010)1/time -1
=(10,710,500/12,738,500)1/5-1 = -3.41%

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