10,000 at 6% for 3 years
- 元金
- 10,000
- Interest rate (per year)
- 6%
- 時間
- 3
- Time in
- 年
- 利息
- 1,800.00
- Total amount
- 11,800.00
- Amount if compounded yearly
- 11,910.16
照合元:10000 × 0.06 × 3 by hand; 10000 × 1.06³ = 11910.16 (Python decimal)
Calculate simple interest (I = P × r × t) and the maturity amount on a principal for a term in years, months or days.
更新日 検証済みの例:5
At 6% simple interest, $10,000.00 earns $600.00 a year, so $1,800.00 over the term. Compounding yearly at the same rate would give $110.16 more.
| Period | Interest in period | Interest so far | 残高 |
|---|---|---|---|
| Year 1 | $600.00 | $600.00 | $10,600.00 |
| Year 2 | $600.00 | $1,200.00 | $11,200.00 |
| Year 3 | $600.00 | $1,800.00 | $11,800.00 |
Rounded half-to-even to 2 decimals for display only.
Simple interest is paid only on the original principal: I = P × r × t, where r is the yearly rate as a decimal and t the time in years. A term in months is divided by 12, and a term in days by 365 (actual/365) or by 360, the banker's year some lenders and money markets use. The amount due at maturity is A = P(1 + rt).
With the defaults, 10,000 at 6% for 3 years earns 600 a year and 1,800 in total, for a maturity amount of 11,800. Compounded yearly at the same rate, the same deposit would reach 11,910.16, which is 110.16 more.
Interest here never earns interest of its own. Savings accounts and most deposits compound, so use the compound interest calculator for them; simple interest suits short loans, flat-rate quotes and interest accrued between coupon dates.
照合元:10000 × 0.06 × 3 by hand; 10000 × 1.06³ = 11910.16 (Python decimal)
照合元:5000 × 0.08 × 9/12 by hand
照合元:20000 × 0.075 × 90/365 = 369.8630… (Python decimal)
照合元:20000 × 0.075 × 90/360 by hand
Multiply the principal by the yearly rate and by the time in years: I = P × r × t. 10,000 at 6% for 3 years earns 10,000 × 0.06 × 3 = 1,800, so 11,800 is repaid. For a term in months, divide by 12 first: 5,000 at 8% for 9 months earns 5,000 × 0.08 × 9/12 = 300.
Divide the days by the day-count basis before multiplying. 20,000 at 7.5% for 90 days earns 20,000 × 0.075 × 90/365 = 369.86 on an actual/365 basis, and 375.00 on a 360-day banker's year. Excel's ACCRINTM function uses basis 3 for actual/365 and basis 2 for actual/360.
Rearrange I = P × r × t. The rate is r = I ÷ (P × t): earning 1,800 on 10,000 over 3 years means 1,800 ÷ 30,000 = 6% a year. The time is t = I ÷ (P × r): earning 3,000 on 10,000 at 6% takes 3,000 ÷ 600 = 5 years.
For a borrower, yes; for a saver, no. Simple interest grows in a straight line, while compound interest also earns interest on interest. On 10,000 at 6%, the gap is only 110.16 after 3 years (1,800 against 1,910.16), but after 20 years simple interest totals 12,000 while yearly compounding adds 22,071.35.
精度は入力値と計算方法の前提に依存します。十進演算には有効数字50桁を使いますが、推定、数値計算手法、元データの精度はそれより低い場合があります。表示の丸め処理でこれらの制約がなくなるわけではありません。 独立した出典の解答と照合した計算例:5。 例えば、「10,000 at 6% for 3 years」は10000 × 0.06 × 3 by hand; 10000 × 1.06³ = 11910.16 (Python decimal)と照合しています。
OpenStax Prealgebra 2e — Simple Interest Applications (I = Prt); Brealey, Myers & Allen — Principles of Corporate Finance, ch. 2 (simple vs compound interest); Microsoft Excel ACCRINTM function (simple interest accrued to maturity, basis 2 = actual/360, 3 = actual/365).
計画の参考用です。金融機関、税務当局、市場は独自の丸め方、手数料、規則を適用します。契約などの前に該当機関へ金額を確認してください。
この計算機には、独立した出典の解答を使った計算例が 5 件あります。テストに組み込まれており、ここでも実行できます。
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