Id take 10k a month over 1m straight up any day of the week. People who get handed money right away often go nuts with it and blow it on everything, at least 10k per would ensure that wouldn't really be an issue lol.
I would have to see from where the money is coming and how likely it is that i would still get my share in say 15 years or if by than the moneygiver is long gone and there would be no more money.
But right now i would take the full amount and see that i invest most of it for long time gains
Its been a long time since economics, but 10K a month means you also have to deal with inflation which could hamper your investment. you could get the money all in one go and let the interest accrue.
The 10k/mo seems to be the better option. Most people would probably waste the one million quickly. The 10k places limits and encourages more responsible spending