在線即時計算器 · 純前端本地秒算 · 零數據上傳

🪙 儲蓄帳戶未來價值計算機

專業免費的 儲蓄帳戶未來價值計算機。純前端本機毫秒級計算、零資料上傳、極致隱私保護。提供詳細公式推導、實例示範與常見問答。

即時推算結果 (Computed Output)
$27,540.72 projected account balance
專業公認計算模型,即時運算完畢
📜 計算歷史記錄 (試算軌跡)
尚無歷史記錄,每次點擊「計算」將在此留下試算軌跡...

What this calculator does

The Savings Account Future Value Calculator projects how much a savings account will be worth after a chosen number of years. It combines a one-time starting balance with regular periodic deposits and applies compound interest. It then shows your future savings, the total number of deposits made, how much you contributed without interest, and the total interest earned. The tool is currency-agnostic — the dollar signs are just labels, so the math works for any currency.

How to use it

Enter your starting balance, the deposit amount, and how often you deposit (deposit frequency). Choose whether deposits land at the beginning or end of each period, set the term in years, the annual interest rate as a percent, and the compounding frequency. Press calculate to see the projected balance.

The formula explained

Because interest may compound at a different rate than your deposit schedule, the nominal annual rate r is first converted to an effective rate per deposit period:

i = ≤ft(1 + ((r) ÷ (m))\right)^{m/q} - 1
where m is compounding periods per year and q is deposits per year. With n = q × t total deposits, the future value is the grown starting balance plus an annuity of deposits:
FV = PV(1+i)^n + PMT·(((1+i)^n - 1) ÷ (i))·(1 + i·type)
The "type" flag is 1 for beginning-of-period deposits (annuity-due) and 0 for end-of-period (ordinary annuity). If the rate is zero, FV simply equals PV + PMT· n.

Worked example

Starting balance 500, weekly deposits of50 (q = 52) at the beginning of each week, 10 years, 0.75% annual rate compounded daily (m = 365). Then n = 520, i ≈ 0.000144243 per week, FV ≈ 27,540.72. You contributed 500 + 50×520 =26,500, so total interest is about $1,040.72.

使用注意事項與精準校對原則(6 大核心守則)

📐 1. 嚴格對齊輸入量綱與單位

輸入各項數值時請務必確認量綱(例如小時、天數、金額、百分比),避免單位不匹配引發推算偏差。

🔒 2. 純前端本機毫秒級隱私保障

所有計算邏輯 100% 在您的終端瀏覽器內完成,資料絕不上傳伺服器,嚴格守護商業與個人隱私。

📊 3. 符合公認學術與產業計算模型

演算法嚴格遵循國際通用數學公式與標準計算模型,經多重情境交叉核對,數值嚴密精確。

📋 4. 一鍵複製與免登入 PDF 匯出

支援一鍵複製推算結果字串至剪貼簿,亦可直接點擊列印按鈕輸出純淨 PDF 工作報表。

🔄 5. 多情景敏感度動態對比

建議針對極端值與多組預期情景分別試算,觀察輸出數據的波動區間,輔助做出更穩健的決策。

🛡️ 6. 專業諮詢與日常參考免責聲明

本工具運算結果供日常排程、學業研習與事前參考之用,如涉及重大法規或投資決策請諮詢持證專家。

常見問題 (FAQ)

What does compounding frequency change?
More frequent compounding (e.g. daily vs. annually) slightly increases the effective rate and therefore the final balance.
Beginning vs. end of period?
Depositing at the beginning of each period earns one extra period of interest per deposit, producing a marginally higher balance.
Is this a guarantee?
No. It assumes a constant rate and steady deposits; actual savings rates and contributions vary over time.