If an asset declines in value from $5,000 to $4,100 over nine years, what is the mean annual growth rate in the asset’s value over these nine years? Enter your answer as a percentage. If needed, round your answer to two decimal digits.

Respuesta :

Answer:

-2.18%

Step-by-step explanation:

The mean annual growth rate of an investment over 'n' years is given by the following expression:

[tex]r=(\frac{Present\ value}{Initial\ value}) ^{(1/n)}-1[/tex]

For a 9-year investment with present value of $4,100 and initial value of $5,000, mean annual growth rate is:

[tex]r=(\frac{4,100}{5,000}) ^{(1/9)}-1\\r=-0.00218=-2.18\%[/tex]

The mean annual growth rate in the asset’s value is -2.18%