Constant-growth rates

One of the most important components of stock valuation is a firms estimated growth rate. Financial statements provide the information needed to estimate the growth rate.

Consider this case:

Robert Gillman, an equity research analyst at Gillman Advisors, believes in efficient markets. He has been following the mining industry for the past 10 years and needs to determine the constant growth rate that he should use while valuing Pan Asia Mining Company.

Robert has the following information available:

	Pan Asia Mining Companys stock (Ticker: PAMC) is trading at $22.50.
	The company has forecasted net income and book value of equity for the coming year to be $1,420,200 and $11,115,000, respectively.
	The company has also been paying dividends for the past 8 years and has maintained a dividend payout ratio of 45.00%.

Based on this information, Roberts forecast of PAMCs growth rate in earnings and dividends should be:

0.45%

-25.11%

7.03%

8.62%

Which of the following statements accurately describes the relationship between earnings and dividends when all other factors are held constant?

Growth in earnings requires growth in dividends.

Long-run earnings growth occurs primarily because firms pay dividends to reward their shareholders for investing in the company.

Retaining a higher percentage of earnings will result in a higher growth rate.