Well something in your example looks wrong. What you're stating is a company has shares available to buy at 50 cents each and that each share will produce $2 in annual earnings or a 400% annual expected return.

The second part of your question the answer is No

.50/2.00 has nothing to do with years but rather earnings per share on any given day in time based on current expectations

Basically you are looking, I think, at p/e ratios. That is Price per share/Earnings per share. This tries to guage growth (the number of years it would take the earnings, perofit, to pay back the cost of the share). However this ratio may be historic (at least the earnings) and analysts are trying to predict what future earnings may be.

P/e is useful for comparing SIMILAR stocks or sectors, that's about it.

High growth companies have high p/e and vice versa

If your price per share is low and your earnings per share is high, is that a good sign that you should buy that stock?

Example:

Price per share: .50

Earning per share: $2.00

Also when you divide the price per share and the earning per share. Does the total means how many years I'll be waiting on my return/ profit and how much more (x) I'm paying for that stock?

Please help me I'm a begginer.