Also, if I understand this security correctly:
1.) The dividends from DMS.MINING will asymptotically reach 0
2.) The dividends from DMS.SELLING will asymptotically reach 91.25% APR. (365/400)
Is this correct?
There are some unstated assumptions about future increases in mining difficulty in your projections, are there not? The dividends from each of these assets could vary greatly depending on how mining difficulty unfolds in the future.
True, my assumptions were based on extrapolation of the current trend of continually increasing mining difficulty.
My understanding is that in an environment of continually increasing mining difficulty, the dividends of DMS.MINING and DMS.SELLING will BOTH asymptotically approach zero. It's the rate at which they approach zero -- largely determined by the speed that mining difficulty increases -- that determines which asset gets a bigger slice of the ever-shrinking pie. But if I've understood it correctly, both assets should theoretically decrease in value each time there is a jump in difficulty, and ultimately reach zero.
Of course, I could be massively confused.
The remaining capital in the fund will tend towards 0 - whether difficulty rises, falls or stays the same (I'm ignoring for now buy-backs - those take capital to 0 immediately with the majority of it going to MINING).
What will change massively is the extent to which each of MINING and SELLING receive that capital back.
Let me give two extreme examples - reality lies somewhere in between.
If difficulty were to stay the same (or fall) then there's ZERO chance of SELLING ever receiving a single payment - as capital would never be over 410 weeks of dividends. After some period of time, capital would drop below 100 weeks' of MINING dividend prompting a forced closure with everything being given to MINING.
At the other extreme if difficulty rose to 100 times present at next change then after the change the vast majority of all remaining capital would immediately be sent to SELLING (leaving 400 weeks of a miniscule MINING dividend as capital) and MINING would never get back anything much more than what they received before next difficulty change.
We can be pretty certain neither of the above will happen - though in theory results not too far from either are not unfeasible. The skill is to estimate where in the interval between those extremes real future difficulty changes will lie - and buy/sell appropriately.
And remember that whatever you work out for MINING DOES apply almost unchanged to ALL PMBs - even ones that have hardware. Their payouts are calculated in almost exactly the same as ours. The only place where there is a significant difference is if you believe the reality will closely mirror the first scenario (difficulty staying the same or falling in the short to medium term) - if you believe that is likely then you should value PMBs significantly higher than MINING (as our cap on payout becomes relevant).