I ran some more figures on interest rates, half life, etc. For starters, these calculations are more accurate than my previous ones since the formulas used are compounding interest continually instead of monthly like my previous ones. Note that these calculations are based on the assumption that all coin holders will have their wallets open 100% of the time and not sitting on exchanges, etc.
- If the interest rate starts out at 100% annually (where it is) and halves on a monthly basis, the final coin count of 1,181.36 would be hit in 16 months - far less than the 10000 hard limit.
- Using a starting interest rate of 100% anually and halving only once a year, the final coin count would be 7,389, arriving in the year 2032. 90% of all coins would be generated by mid 2018.
- The closest half-life period that wouldn't exceed 10,000 coins is 1.15 years, reaching a maximum of 9,974 coins.
It seems to me that it would be better to use the total # of coins in existence as a half-life trigger instead of using months, years, etc. That way, the final number of coins in existence could at least be set in stone. The first thing to determine is how soon the 10,000 final count should be hit, then the math can go from there.
I also believe very strongly that the next interest-rate policy change for this coin should be the last one. Changing the rules on-the-fly is obviously not generally a good idea, even if it means more earnings.
I have uploaded the spreadsheet I used to figure this stuff out at
https://app.box.com/s/2w238twcd57falpq7ij3 - feel free to download & play with it.