This is incomplete, as it fails to factor compounding. If you have it divided so you're staking every day, it is likely that your end total will be somewhat higher than the 200K, again, depending on difficulty. I've not the time to analyze it right now, you may well be right over all, but leaving that part out makes for an incomplete argument.
And that came out really rude. I don't mean it that way, I just don't know how else to say it
I think I understand the compounding issue, but it compounds both ways. If you stake daily, the reward will not stake again for 30 days same as if you stake monthly. you just get the reward in smaller pieces. This would not be true if the balance could begin earning interest instantly, which it cannot, it still must wait the 30 days.
This differs from compound interest, which earns interest on interest as it is earned. There is no waiting period. So the compound thing works here but not for something that must wait for a month to be eligible.
Not sure I am being clear here, but the math works :-)
Then the difficulty argument factors in, and even if you could compound like interest, you would loose any advantage to difficulty. It would still work better to stake monthly.
You may be right. When I have some time, I'll run the numbers and have a look. I think there's an advantage to fairly good size blocks staking daily or close to it, but I'm not certain. It would become clear after about sixty days, I think. I'm so freakin' busy right now that I can't do it, but it's certainly an interesting subject.
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You got me doubting myself, so I put together a spreadsheet and ran the numbers both ways. They came out the same. The fact that stake only happens once per month on any wallet holding prevents daily compounding.
In the situation where you stake every day, each day is treated as a separate entity. each entity only stakes once every 30 days. So day 2 stuff does not get to compound what happened on day one, etc.
The 'stake every 30 days' thing forces the situation into a simple interest formula. This prevents the compound thing from happening. (It compounds if you let your interest ride from month to month, but the amount is the same if you do it daily or all at once.) (a*b+a*c+a*d) is the same as a(b+c+d) where 'a' is the interest rate and 'b,c,d' are amounts you are staking for the respective days.
If you could stake your entire investment each day and earn interest but chose to only accept your interest once per month, we would have the compound difference you believe exists, but the nature of how the coin is designed to pay interest is the limiting factor.
