Question

XYZ can buy a Monet for $8,200,000 today. She believes that the masterpiece can be sold in 9 years for $19,600,000. What is the annual rate of return that XYZ expects to earn on this art investment? a. 139.02% (plus or minus .02 percentage points) b. 15.45% (plus or minus .02 percentage points) c. 10.17% (plus or minus .02 percentage points) d. 26.56% (plus or minus .02 percentage points) e. None of the above is within .02 percentage points of the correct answer

Answer 1

Answer:

c. 10.17%

Explanation:

we can use the future value formula:

future value = present value x (1 + r)ⁿ

• future value = $19,600,000
• present value = $8,200,000
• n = 9

$19,600,000 = $8,200,000 x (1 + r)⁹

$19,600,000 / $8,200,000 = (1 + r)⁹

(1 + r)⁹ = 2.390243902

⁹√(1 + r)⁹ = ⁹√2.390243902⁹√

1 + r = 1.101663943

r = 1.101663943 - 1 = 0.101663943 = 10.17%