How much to save each month
Without interest, the monthly amount is simply what is left to save divided by the months you have: $18,000.00 ÷ 36 = $500.00. Interest lowers it: at 4% APY the example needs $465.38 a month, because the balance earns $1,246.16 along the way. More time lowers it further: over 5 years it is $265.44 a month.
Sizing an emergency fund
An emergency fund is cash set aside for unplanned costs such as car or home repairs, medical bills or a loss of income (CFPB: building an emergency fund). Choose An emergency fund and the goal becomes your essential monthly expenses times the months you want covered. With $3,500.00 a month and 6 months, that is $21,000.00, or $491.60 a month over 3 years from the example's starting balance. Three to six months of expenses is a common rule of thumb, not a requirement; even a small fund helps, and a specific goal with automatic transfers makes it easier to keep saving.
How the calculation works
- APY is the yearly return including compounding (Truth in Savings definition). The monthly rate is r = (1 + APY)1/12 − 1, so a balance left alone for a year grows by exactly the APY. Our compound interest calculator shows how that growth builds over many years.
- Monthly amount to reach goal G in n months from savings S:
(G − S × (1 + r)n) × r ÷ ((1 + r)n − 1), or (G − S) ÷ n with no interest. - Time with a set deposit: the balance is grown month by month, with the deposit added at the end of each month, until it reaches the goal.
What this calculator does not include
- Changes in your account's rate. Savings rates are variable; the result assumes today's APY for the whole period. To lock in a rate for a set term, see what a CD earns with our CD calculator.
- Taxes on interest, fees, withdrawals and inflation.
- Investment returns. For money in the market, returns are not guaranteed and can be negative.
Results are estimates, not financial advice.
Methodology and testing
Automated tests compare the monthly amounts with an independent implementation of the closed form, check that a balance at the APY grows by exactly that rate in a year, and check for 300 varied plans that the solved deposit reaches the goal in exactly the chosen month. How we build and test calculators.
Sources
- An essential guide to building an emergency fund, Consumer Financial Protection Bureau. An emergency fund is cash set aside for unplanned expenses or a loss of income; a specific goal and consistent, automatic saving help build it.
- Truth in Savings (Regulation DD) § 1030.2 Definitions, Consumer Financial Protection Bureau. Annual percentage yield is the total interest paid on an account over a 365-day period, reflecting the interest rate and the frequency of compounding.
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