The price-earnings ratio (P E ratio) is a commonly used measure of how over-priced or underpriced a company’s stock is. There are a number of different statistics about a company’s stock is. One of these statistics is a measure of future growth. To examine the relationship between Pes and the measure of future growth (FG), you run a simple regression and get the equation PE = 3 + .9FG. The R2 for this model is 18% and the standard error is 5. Another model was run using a measure of dividends (D) to explain the PE. This gives the equation PE = 1.6 + 13.2D. a) Give a managerial interpretation for the coefficients 3 and 9. b) A particular company has a value of 15 on the measure of future growth. Its PE ratio is 4.5. What would you conclude about the company’s PE? Briefly explain. c) Since 13.2 is greater than .9, can you conclude the PE ratio has a stronger relationship to dividends than future growth? If not, what would you need to know to conclude which variable has a stronger relationship to the PE ratio? Briefly explain.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
Problem 34SE: For the following exercises, consider this scenario: The profit of a company decreased steadily...
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The price-earnings ratio (P E ratio) is a commonly used measure of how over-priced or underpriced a company’s stock is. There are a number of different statistics about a company’s stock is. One of these statistics is a measure of future growth. To examine the relationship between Pes and the measure of future growth (FG), you run a simple regression and get the equation

PE = 3 + .9FG.

The R2 for this model is 18% and the standard error is 5. Another model was run using a measure of dividends (D) to explain the PE. This gives the equation

PE = 1.6 + 13.2D.

a) Give a managerial interpretation for the coefficients 3 and 9.

b) A particular company has a value of 15 on the measure of future growth. Its PE ratio is 4.5. What would you conclude about the company’s PE? Briefly explain.

c) Since 13.2 is greater than .9, can you conclude the PE ratio has a stronger relationship to dividends than future growth? If not, what would you need to know to conclude which variable has a stronger relationship to the PE ratio? Briefly explain.

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