Question

Although appealing to more refined tastes, art as a collectible has not always performed so profitably. During 2003, an auction house sold a sculpture at auction for a price of $10,371,500. Unfortunately for the previous owner, he had purchased it in 1999 at a price of $12,497,500.

What was his annual rate of return on this sculpture? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Annual rate of return %

Answer 1

-4.25%

Step-by-step explanation:

purchase price in 1999 = $12,497,500

purchase price in 2003 = $10,371,500

annual rate of return = {[($10,371,500 - $12,497,500) / $12,497,500] / (2003 - 1999)} x 100 = (-0.170114 / 4) x 100 = -4.25%

the annual rate of return refers to how much money you win or loss with an investment during a year. In this case, the investor lost $2,126,000 in 4 years, which resulted in a total loss of 17.01% for the whole period.