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What is the function of the emergency fund, is it not there to protect your investment, if you see the need to borrow your emergency fund to stock your investment and replace it immediately, I don't think there is anything wrong in you using your emergency fund to accumulate Bitcoin.
Let's take for instance that the funds in your wallet is not enough and due to network issue, you can't fund your wallet from your local currency for you to buy your needed satsh and you have your emergency funds with you, are saying that you are not going to buy the present low price will you allow the opportunity passes you by all just because you don't want to temper your emergency fund .
Emergency funds is for both your accumulation of your Bitcoin and your personal expenses, in a situation like these where network is very bad and transactions of my local currency into my bitcoin wallet is very bad, i will prefer to buy aggressively with my emergency funds because I don't know what the price will be at the next minute when network will be okay, therefore I will use it and replace it immediately except for those that does not have any means of replacement, but even at that you can still use part of it, not all, I don't want to believe that a serious minded investor that is hodling for a long-term will not means of replacing emergency funds if tempered.
Of course you can do whatever you like, but if you are not able to build up extra emergency funds that are ONLY touched upon actual emergencies, then you might be contributing to your own issues of having to dip into emergency funds, and not employing strong enough cashflow management.
Yes, I know it is difficult for poor people to build emergency funds, and I agree that it could take a year or two just to get an emergency fund that is equal to 3 months of expenses, perhaps at the same time as building up the bitcoin investment up to a similar size.
I suspect that if you feel that it is o.k. to be always dipping into your emergency fund, then you are likely setting yourself up to situations in which you run out of emergency funds, and you have no choice but to sell your bitcoin at a time that was not necessarily a time of your own choosing.. .which likely means, you are never going to really advance to a point where you are building your wealth in significant and meaningful ways that also allows you to enjoy the benefits of compounding value.
Yes you are right JJG anyone who is into bitcoin investment and his not building up extra emergency funds is really getting his self into a situation that will lead him to dip hands into his investment, emergency funds is a financial backup in case of unexpected expenses and not having it or not trying to build one will lead you to sell off your accumulated Bitcoin there by interrupting your investment journey by slowing you down or stopping your investment.
Yeah it will actually take longer time for a poor person to build an emergency funds but it worth doing because it will save your bitcoin investment when there's an emergency, building this emergency funds is a sacrifice you have to make in other to succeed in the future.
You are right JJG those who always feel that it is ok to be always dip hands into there emergency funds when ever they face a little issue will run dry there emergency funds quickly and will still dip hands into there Bitcoin there by destroying their bitcoin investment, emergency funds should only be used for important things that needs quick attention and not for unserious issues.