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Dividend Irrelevance and Homemade Dividends

Compare a cash dividend with a shareholder’s sale of stock, then trace how payout timing and financing change the claims left behind.

Dividend irrelevance is Miller and Modigliani’s result that changing a firm’s dividend policy leaves its value before the payout unchanged when investment policy is fixed and capital markets are frictionless. A homemade dividend is cash a shareholder raises by selling part of their stock holding. Together these ideas give an analyst a baseline for asking whether a proposed payout change affects the business or simply shifts when and how shareholders get cash. Miller and Modigliani, 1961, §I

Ten shares and a USD 10 cash target

You hold ten shares in a fictional company at USD 10 each. Its investment plan is already funded, so any dividend in this example comes from surplus cash. Compare the two policies at the same instant. There is no new information, no change in the investment plan, no tax, and no cost or price impact when you trade.

  • The company pays USD 1 per share. A share priced at USD 10 with the dividend attached trades at USD 9 ex-dividend in this setup. You get USD 10 from the company and keep ten shares worth USD 90.
  • The company keeps the cash. The shares still trade at USD 10. You sell one to another investor for USD 10 and keep nine shares worth USD 90.
Both fictional scenarios leave USD 10 cash and USD 90 in stock, for USD 100 total. The company dividend leaves ten shares at USD 9 each. Selling one share leaves nine shares at USD 10 each.
Both fictional scenarios leave USD 10 cash and USD 90 in stock, for USD 100 total. The company dividend leaves ten shares at USD 9 each. Selling one share leaves nine shares at USD 10 each.
The dividend takes one dollar of value out of every share. The sale converts one whole share into cash.

The comparison matches cash and stock value at that instant. A dividend leaves your ownership percentage intact here because the company issues no shares. A sale transfers the sold share’s claim on future payouts to the buyer. Future proceeds from the remaining shares depend on what happens to the retained cash and how much of the company you still own. If you receive more cash than you want, you can also use the excess dividend to buy shares at the market price.

What pays for a larger dividend?

The example uses surplus cash. In the original proof, if a higher dividend creates a shortfall and the firm still makes the same investments, it sells new shares at fair value with no issuance costs. Write DD for total cash dividends, II for the investment outlay, and XX for the cash available before paying either. When outside equity is needed, the amount raised is

F=I−X+D.F = I - X + D.
An extra dollar of dividend requires an extra dollar of equity financing. The new shareholders receive future claims worth what they pay, so the extra cash current shareholders receive is offset by a smaller claim on future distributions. Cutting a project to fund the payout changes the investment policy and can change firm value. Miller and Modigliani, 1961, §I, equations (3)–(5)
This is consistent with the dividend discount model. Future distributions still give the shares value. A valuation that raises today’s dividend must also update the future cash flows attributable to today’s shareholders to reflect the cash that left the firm or the new shares issued. Section 1 of the SelfMadeQuant equity valuation lesson derives the dividend-plus-resale-price relationship (public preview, full lesson requires membership). Miller and Modigliani, 1961, §II, “The stream of dividends approach”

What market prices can tell you

  • Taxes and trading costs affect the shareholder’s cash. A dividend and a realised gain on a share sale can have different tax treatment. Spreads or fees can also reduce the cash from a sale or make it costly to reinvest a dividend. Miller and Modigliani, 1961, §V
  • An announcement can change expectations. Investors may read a surprise dividend change as a signal about future profits. A price move at announcement can reflect that reassessment. Miller and Modigliani, 1961, §IV, “The informational content of dividends”
  • The observed ex-date move is a separate measurement. The USD 1 price change in the example isolates the loss of the dividend entitlement. Actual trading prices also reflect other changes in value between observations and how the stock trades. Bali and Hite show how discrete price ticks can contribute to a gap between the observed drop and the cash dividend. Bali and Hite, 1998, §1

Sources

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  • corporate finance
  • dividends
  • payout policy
  • equity valuation
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