The total supply of YFII is 40,000. Each of the two pools will be emitting 20,000 tokens to yield farmers, starting at 10,000 in the first week halving every 7 days. The number of tokens farmed is in proportion to the liquidity farmers provide to the pools. YFII will be completely distributed in the following 10 weeks.
People may be worrying that if the developers would issue infinite number of YFII tokens to steal their money. The answer is: impossible. The minting keys have already been burnt by transferring the admin role to the blackhole address (0x00) so that no one has this privilege to mint new tokens. You can examine the burning txns below which are also documented at a specific page.
YFII Token Governance Key
https://etherscan.io/tx/0xd491dd5d190c6856f12cd88a8d318e71c5317371286379053a77040d09d27839
Yearn Reward Distribution Key
https://etherscan.io/tx/0xb78ff92dcdbc4fb2e69bfbd2aa2975d78e57983070c910121dbb77c03a28f53f
https://etherscan.io/tx/0x8d121a5dfd3808cb1ba8e5124dff01807c50a5fa769b77db7993eda6f4da38e8
Balancer Reward Distribution Key
https://etherscan.io/tx/0x26037582e80e9e668d8a8d16f7811441ff4db979ff63d0beb5c931c7fc9e7956
https://etherscan.io/tx/0x595088895e902fdbafb133c7d2b14e0264bfb4d400bb2928d27e1c10f4f05ac5
addMinter record