Continuing a discussion on the introductory article on financial terms and explanations, this article discussion common share dilution. Firstly, some background for EPS, let’s use a firm’s Net Income (NI), in this case on a per-share basis. The formula to derive this figure would be: Earnings per share (EPS) = NI / # of common shares. This changes when you consider distribution of Net Income, then the formula is: Net Income = Dividend paid to shareholders + Addition to Retained Earnings. When you consider the stock market: market price / earnings per share = P/E ratio.

## Losing Shareholder Value in Share Dilution

EPS = NI / # common shares; EPS diluted < EPS basic; share dilution (loss in existing shareholders' value).

Let’s use an example to show how EPS dilution occurs. A fictitious company called General Ford wants to build a new facility to meet future demand of–vacuums. There is 1 million common shares and no debt currently (haha, you CAN tell it’s fiction). The current market share price = \$5 –> market value =\$5MM. Book value = \$10MM –> \$10 per share.

General Ford has experienced difficulties, including cost overruns, regulatory delays, and below normal profits. Market-to-Book ratio = 5/10 = 0.5. (Successful firms rarely have market prices less than book values.)

Net Income = \$1MMI= –> EPS = \$1 –> ROE = 1/10 = 10%

Price/earnings ratio (P/E ratio) = 5 (General Ford sells for five times earnings);
They have 200 shareholders, each of whom hold 5000 shares each; the cost of new plant = \$2MM

Q. How many new shares should be issued?

General Ford has to issue 400,000 new shares (\$2mm/\$5) –> 1.4 MM shares after the issue

If ROE is fixed, NI is expected to go up by: 0.10 * 2MM = \$200,000 –> Total NI = \$1.2MM

What’s going to happen?

– EPS = 1.2/1.4 = \$ 0.857 per share, down from \$1 (1.2/1.2)
– The % of ownership of each old shareholder drops to 0.36% (=5,000/1.4MM) from 0.5%
-If P/E ratio is still 5, the market price will be \$4.29 per share (=5*0.857), a loss of \$0.71 per share
– Total book value = \$12MM (=10+2) –> book value per share falls to \$8.57 per share (\$ 12MM/1.4MM)

There completes this fictitious example of General Ford and if they raise cash through the stock market by devaluing their common shares.