How it’s calculated
Regular end-of-month deposits form an ordinary annuity. Solve its future value formula for the payment, after subtracting what your existing savings will grow to on their own.
Example (OpenStax Contemporary Mathematics): to have $35,500 for a car in 3 years at 4.25% compounded monthly, i = 0.0425 ÷ 12 = 0.0035417 and n = 36, so the deposit is 35,500 × 0.0035417 ÷ ((1.0035417)^36 − 1) ≈ $926.32 a month (the textbook rounds up to $926.33 so the goal is not missed by a cent).
Frequently asked questions
What if I can only save less each month?
Lengthen the timeline, lower the goal or look for a higher rate. Try different years in the calculator to see the trade-off.
Should I count on investment returns?
For short-term goals (under about 5 years) use a savings or CD rate, since stock returns can be negative over short periods.
Does it include taxes on interest?
No. Interest is usually taxable, so your after-tax growth will be slightly lower.
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Sources
- Contemporary Mathematics, §6.6 Methods of Savings — OpenStax
- Savings Goal Calculator — U.S. Securities and Exchange Commission (Investor.gov)
Formulas are taken from the free public references above. Results are provided “as is” for informational and educational purposes only. See our disclaimer.
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