Question

A stock has had returns of 16 percent, 23 percent, 15 percent, −11 percent, 30 percent, and −5 percent over the last six years.What are the arithmetic and geometric returns for the stock? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Arithmetic return % Geometric return %

Answer 1

Answer and Explanation:

The computation of the arithmetic and geometric return for the stock is shown below:

Arithmetic return is

= (16% + 23% + 15% - 11% + 30% - 5%) ÷ 6

= 11.33%

And,

Geometric return is

= ((1 + 16%) × (1 + 23%) × (1 + 15%) × (1 - 11%) × (1 + 30%) × (1 - 5%))^(1 ÷ 6) - 1

= 10.33%

The same is to be considered