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

Answer 1

-3.41%

Step-by-step explanation:

The computation of the annual rate of return is shown below;

We use the formula:

Future value = Present value × (1 + rate of interest)^number of years

$10,710,500 = $12,738,500 × (1 + rate of interest)^5

($10,710,500 ÷ $12,738,500)^(1 ÷ 5) = (1 + rate of interest)

(1 + rate of interest) = 0.965913622

r = (0.965913622 - 1) × 100

= -3.41%