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Age of money is a metric that only potentially really has meaning at the beginning of your YNAB journey, that some people find as a motivating thing to see as it increases. It will increase as you save, and don't spend every dollar as soon as you receive it. With more money being saved, the dollars can sit in the bank for longer before they're used.
As far as the buffer, it's a category that is used for accumulating money with the goal of removing yourself from the paycheck-to-paycheck cycle. Eventually the goal is that every paycheck you receive this month goes into this category, and once all of your income has been received, you can dump it into TBB and move into the next month and budget the entire month in one session, instead of each time the money comes in.
Building the buffer will by default increase the Age of money, but the goal isn't necessarily to increase the age, simply to save your money, and save up those true expenses.
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There are also two types of buffers often discussed. The traditional one meaning a financial cushion against unexpected expenses and one specific to YNAB that facilitates budgeting on a cycle aligned with the calendar boundaries. I was talking about the former, and Bruce was talking about the latter. Both are extremely useful. Do let us know which you had in mind, won't you?
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Bruce said:
It will increase as you save, and don't spend every dollar as soon as you receive it.You know what else increases as I save my money? My account balance. Which is a lot more straight forward and easy to reason about than an opaque Age of Money (AOM) statistic.
But in all seriousness, AOM represents YNAB's ham-fisted attempt to encourage users to look beyond their immediate living expenses. If Rules 1-3 are about breaking even with your expenses, then Rule-4 is about getting ahead. AOM is a clumsy attempt to measure how far ahead you are (measured in days).
In practice, the most straight-forward way to get ahead is to establish some category in your budget unlike your normal spending categories. The quintessential example is an "Emergency Fund". You don't plan to ever spend that money. Its job is to just sit there and wait until some unforeseen expense comes along. The larger the category balance, the further ahead you are. (So tracking your Rule-4 progress becomes a simple matter of observing a category balance, instead of relying on a flawed/confusing AOM statistic.)