Final answer:
The provided information focuses on the total annual rate of return including dividends and capital gains from S&P 500 stocks, not the average growth in earnings per share. Without specific earnings per share data, it's not possible to determine its average growth. For GDP per capita growth, the compound interest formula is used to calculate its future value after a specified period and growth rate.
Step-by-step explanation:
The question is asking to determine the average growth in earnings per share, but the information provided talks about total annual rate of return from S&P 500 stocks over recent decades, including dividends and capital gains, not specifically earnings per share growth. To calculate the average growth in earnings per share, you would typically need information or data directly related to the earnings per share over a set period. Thus, without the appropriate data on earnings per share, it is not possible to accurately answer the question regarding the average growth in earnings per share.
However, for the provided data about the economy's GDP per capita growth, the future value of GDP per capita can be calculated using the compound interest formula: Future Value = Present Value * (1 + Growth Rate)^Number of Periods. The calculations for GDP per capita growth would look like this:
- For a 3% growth rate over 10 years: Future GDP per capita = €12,000 * (1 + 0.03)^10
- For a 3% growth rate over 30 years: Future GDP per capita = €12,000 * (1 + 0.03)^30
- For a 6% growth rate over 30 years: Future GDP per capita = €12,000 * (1 + 0.06)^30
The actual calculations and resulting figures would provide the GDP per capita after those periods of growth.