Question

In 2009, an 1893 Morgan silver dollar sold for $6,450. Required: What was the rate of return on this investment? (Do not include the percent sign (%). Enter rounded answer as directed, but do not use the rounded numbers in intermediate calculations. Round your answer to 2 decimal places (e.g., 32.16).)

Answer 1

Answer: 7.86%

Step-by-step explanation:

Using the Future Value formula;

= Amount * ( 1 + r)^n

The question is looking for the rate so making that the subject would be;

Assuming the car was $1 in 1893,

And n = 2009 - 1893 = 116 years

FV = Amount * ( 1 + r)^n

( 1 + r)^n = FV/ Amount

1 ^n + r^n = FV / Amount

r = n√((FV/ Amount) / 1^n)

r = n√(FV/ Amount)

r = 116√(6,450/ 1)

= 1.07855

Subtract 1 for the percentage;

= 1.07855 - 1

= 7.86%