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Time series data 1. The relative change between two values can be approximated by the difference in logs of those values. We know that

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Time series data 1. The relative change between two values can be approximated by the difference in logs of those values. We know that the approximation performs better when the change is small, and the quality of the approximation deteriorates as the percentage change increases. To illustrate this point, consider the following problems: (a) Suppose sales in a company were $188 million in 2009 and $204 million in 2010. Compute the percentage increases using the usual formula (Sales 2010-Sales 2009 .100 and the difference-in-logs approximation. Express your answers as a percentage and round to three decimal places. Sales 2009 (b) Suppose sales in a company were $188 million in 2009 and $260 million in 2010. Compute the percentage increases using the usual formula (Sales 2010 - Sales 2009). 100 and the difference-in-logs approximation. Express your answers as a percentage and round to three decimal places. Sales2009 (c) Comment on the results from parts (a) and (b).

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