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If we bought 250,000 coins for 25 BTC, we would have 75 BTC left over and only 250,000 coins would be left.
If we bought 499,999 coins for 49.9999 BTC, we would have 1 coin with 50 BTC left over, meaning that one coin would technically be worth 50 BTC.
I don't understand why you guys are getting this. Buying up and burning coins might not work if the price is over the IPO, but when it's below, it makes perfect sense.
You keep repeating these same arguments as if people can't understand the math. We do. The problem is, it's not assured that the math will equate to actual exchange prices in the end.
In your example above, you bought all of the coins except for 1, and that one coin would technically would be worth 50 BTC. But it wouldn't. Nobody would buy 1 coin for 50 BTC.
Remember that these are all made up values to begin with. Simply saying if we destroy a certain percentage of coins, the value of the coins as a whole will go up by the same percentage, is just a guess. It's wishful thinking and no guarantee it would occur.
There is also the little problem of 25 btc being taken away from the asset fund, so even if there are less coins about, so a greater percentage of a payout per coin, it's negated by less funds to pay for assets to begin with.
And a vote would be meaningless. Every coin that runs a poll to destroying coins always votes to destroy. That's because people have a short term view and want immediate profits.
IMO, you aren't understanding this word problem.
If BTC held per coin increases, then the dividend potential increases. If 49.999 is used to buy up every coin but one. Then you have 50 BTC behind 1 coin getting that dividend. If you can double that 50 BTC and pay out a 50 BTC dividend, that one coin would receive it. I'm not sure what is hard to understand about this.
Maybe you just don't understand what I'm communicating. Is this any better?
Any coins they burned would not receive a dividend. Any non-burned coins would have their dividend increased by the previous dividends of the burned coins.
For instance, if the dividend was 100 BTC a year (100% profit), each coin would receive (100/500,000 =) 0.0002 BTC a year.
If 25 BTC went into burning half the coins and the dividend was only 75 BTC (100% profit), each coin would receive (75/250,000 =) 0.0003 BTC a year.
If 49.999 BTC went into burning all but one of the coins and the dividend was only 50 BTC (100% profit), each coin would receive (50/1 =) 50 BTC a year.