Skip to main content

Compound Savings Calculator

Quick answer

FV = P(1+r)^n + PMT×((1+r)^n−1)÷r: 200 monthly at 5% for 15 years grows to ≈53,500 — deposits of 36,000 do the rest.

  • Works the same on phone and desktop.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the Compound Savings Calculator Calculates Results

FV = P(1+r)^n + PMT × ((1+r)^n − 1) ÷ r

Compound savings projects a starting balance plus regular deposits growing together, splitting the result into your contributions and earned interest. The computation rests on FV = P(1+r)^n + PMT × ((1+r)^n − 1) ÷ r. Saving 200 monthly at 5% for 15 years (n = 180): 200 × ((1.004167)^180 − 1) ÷ 0.004167 ≈ 53,460 — 36,000 deposited and ≈17,460 of compounding doing quiet work. Each input you type is substituted the instant you release the key, and the result is expressed in exactly the units or currency you chose.

  1. 1

    Step 1

    Start with the primary figures the Compound Savings Calculator asks for.

  2. 2

    Step 2

    Your values are substituted into FV = P(1+r)^n + PMT × ((1+r)^n − 1) ÷ r.

  3. 3

    Step 3

    Read off the computed result.

  4. 4

    Step 4

    Vary one input at a time to see its effect.

Use Cases

Habit savings projection

Pricing a fixed monthly habit

Goal-gap analysis

Testing whether the plan reaches a target

Rate shopping

Comparing account yields on real deposits

Kids' accounts

Projecting childhood savings to 18

Common Mistakes

  • Entering annual r with monthly deposits

  • Stopping during downturns

  • Ignoring inflation

FAQs

How much do deposits versus interest contribute?

Here 36,000 of 53,460 (67%) is deposits: the last years flip the mix as interest on interest accelerates.

What does raising the rate to 7% change?

The ending value jumps to ≈63,370 — two points of return add ≈9,900, more than half again of all your deposits' growth.

What is the math behind the Compound Savings Calculator?

The Compound Savings Calculator applies FV = P(1+r)^n + PMT × ((1+r)^n − 1) ÷ r, where P starting balance, PMT monthly deposit, r monthly rate.

Does it store the numbers I enter?

No — the Compound Savings Calculator computes locally in your browser, so nothing you type is saved or transmitted anywhere.