What are homemade dividends, and how do shareholders use them to replicate any payout policy?

Question

AcadiFi · Accepted Answer

Homemade dividends are the mechanism by which the MM dividend irrelevance result holds. Shareholders construct their preferred cash flow stream by selling or buying shares, making the firm's actual payout policy irrelevant.

**The Concept**

If a firm does not pay a dividend but a shareholder wants cash income, the shareholder sells enough shares to generate the desired amount. Conversely, if a firm pays more dividend than desired, the shareholder reinvests the excess by purchasing additional shares. Either way, total wealth (share value + cash received) remains constant.

**Worked Example — Thornhill Pharmaceuticals:**

Maya owns 1,000 shares of Thornhill at $80/share. Total wealth = $80,000. Maya wants $4,000 in cash income this year, but Thornhill pays no dividend.

**Creating a Homemade Dividend:**

| Step | Calculation | Result |
|---|---|---|
| Shares to sell | $4,000 ÷ $80 | 50 shares |
| Cash received | 50 × $80 | $4,000 |
| Remaining shares | 1,000 − 50 | 950 shares |
| Value of remaining shares | 950 × $80 | $76,000 |
| **Total wealth** | $76,000 + $4,000 | **$80,000** |

Now compare: if Thornhill had paid a $4/share dividend instead:

| Step | Calculation | Result |
|---|---|---|
| Dividend received | 1,000 × $4 | $4,000 |
| Share price (ex-dividend) | $80 − $4 | $76 |
| Value of shares | 1,000 × $76 | $76,000 |
| **Total wealth** | $76,000 + $4,000 | **$80,000** |

Total wealth is identical in both cases. The homemade dividend perfectly replicates the actual dividend.

**The Reverse — Unwinding Excess Dividends:**

If Thornhill pays $4/share but Maya wants only $1,000 in cash, she reinvests $3,000 by purchasing additional shares:

| Step | Calculation | Result |
|---|---|---|
| Dividend received | $4,000 | |
| Reinvest | $3,000 ÷ $76 | 39.47 shares purchased |
| Total shares | 1,000 + 39.47 | 1,039.47 |
| Value of shares | 1,039.47 × $76 | $78,999.72 |
| Cash kept | | $1,000 |
| **Total wealth** | | **$79,999.72 ≈ $80,000** |

**Why This Breaks Down in Practice:**

1. **Transaction costs** — Selling shares involves brokerage fees, reducing cash received.
2. **Tax differential** — Selling shares triggers capital gains tax, which may differ from dividend tax rates.
3. **Behavioral frictions** — Many investors are reluctant to sell shares for income, preferring the psychological comfort of dividends ("bird in the hand").
4. **Indivisibility** — Shares may not be perfectly divisible (though fractional shares are now common).

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What are homemade dividends, and how do shareholders use them to replicate any payout policy?

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