A stock had annual returns of 5.1 percent, 12.2 percent, −3.8 percent, and 9.4 percent for the past four years. The arithmetic average of these returns is percent while the geometric average return for the period is percent.

5.725%; 5.55%

Explanation:

The arithmetic average or mean is the sum of a collection of numbers that is divided by the count of the numbers in the collection.

Arithmetic average = Total return ÷ total time period

=(5.1+12.2-3.8+9.4) ÷ 4

= 22.9 ÷ 4

= 5.725%

Geometric average will be:

=[(1+rate1)(1+rate2)(1+rate3)(1+rate4)]^(1/4) - 1

=[(1+0.051)(1+0.122)(1-0.038)(1+0.094)]^(1/4)-1

=5.55%

1) the stages a new product goes through from beginning to end, i.e., the stages that a product passes through from introduction through growth, maturity, and decline. 2) the time from initial research and development to the time at which sales and support of the product to customers are withdrawn. 3) the period of time during which a product can be produced and marketed profitably.

                                          hope it

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