Grampy said:
Unless I am very mistaken, the cash is left AFTER all dividends have been paid out.
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You're not. The Grand Old Man (a.k.a. The Devil, a.k.a. Hiroshi Yamauchi) set up that cash fund in case there was ever a financial crash so terrible that the video game market collapsed in on itself. He set this up so Nintendo wouldn't be bankrupt and could get back on its feet.
Yamauchi was a lunatic and he nearly sank the company's relations with third party developers, but he was something of a fiscal wizard.