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💼 Coupon Payment 薪資所得換算器

專業免費的 Coupon Payment 薪資所得換算器。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)
25 paid each period
專業公認計算模型,即時運算完畢
📜 計算歷史記錄 (試算軌跡)
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What Is a Coupon Payment?

A coupon payment is the periodic interest a bond issuer pays to the bondholder. It is fixed for most conventional bonds and is based on the bond's face (par) value and its stated annual coupon rate. Because many bonds pay interest more than once a year, the annual coupon is divided by the number of payments per year to get the amount you actually receive each period.

How to Use This Calculator

Enter the bond's face value (commonly $1,000), the annual coupon rate as a percentage, and how often coupons are paid — annually, semi-annually, quarterly, or monthly. The calculator returns the cash you receive each period along with the total annual coupon.

The Formula Explained

The core equation is:

C = ((Face Value × \dfrac{Coupon Rate (%)}{100}) ÷ (Payments per Year))

The coupon rate is converted from a percentage to a decimal (5% becomes 0.05). Multiplying by face value gives the total annual coupon, and dividing by the payment frequency spreads that interest across each period.

Worked Example

Suppose a bond has a 1,000 face value, a 5% annual coupon rate, and pays semi-annually (twice per year). The annual coupon is 1,000 × 0.05 =50. Divided by 2 payments, each coupon payment is 25. So the holder receives25 every six months.

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📐 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。

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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。

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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。

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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。

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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)

Does the coupon payment change with market price?
No. Coupon payments are based on face value and the fixed coupon rate, not the bond's current market price. The yield to maturity changes with price, but the cash coupon stays the same.
What's the difference between coupon rate and yield?
The coupon rate determines the fixed cash payment, while yield reflects the return relative to what you paid for the bond. They are equal only when the bond trades exactly at par.
What if my bond is a zero-coupon bond?
Zero-coupon bonds pay no periodic interest (coupon rate of \(0\%\)), so the coupon payment is $0. They instead return value through being issued at a discount to face value.