Dividend Irrelevance and Homemade Dividends

Imagine a company that pays no dividend at all. Can a shareholder who wants cash income every quarter still get it? Yes: they simply sell a few shares each quarter. Miller and Modigliani's dividend irrelevance theorem says that, in a world without taxes, transaction costs, or information asymmetries, this "homemade dividend" is a perfect substitute for a real one — so a firm's choice of dividend policy cannot affect its share price.

The logic follows directly from value conservation. Paying a dividend of $1 per share reduces the company's cash and its share price by (roughly) $1 — the shareholder is no richer, just holding cash instead of equity. If instead they wanted that $1 without a dividend, they could sell $1 worth of shares themselves, ending up in exactly the same place. Either way, total wealth — shares plus cash — is unchanged.

Worked example. A stock trades at $50 with no dividend. An investor who wants $500 of cash from a 100-share holding sells 10 shares, leaving 90 shares worth $4,500 plus $500 cash — total $5,000, same as before. If the company had instead paid a $5-per-share dividend, the stock would drop to about $45, and the investor would hold 100 shares worth $4,500 plus $500 cash — the identical outcome.

The theorem is a benchmark, not a prediction: real markets have taxes that treat dividends and capital gains differently, brokerage costs that make homemade dividends imperfect, and signaling effects where a dividend change conveys information about management's view of future earnings. Those frictions are exactly why dividend policy debates exist in practice — irrelevance is the clean starting point against which every real-world complication is measured.