๐ Example 1: Premium Bond
Situation: You buy a bond at a premium price above its face value.
- Face Value: $1,000
- Purchase Price: $1,100 (premium)
- Coupon Rate: 6%
- Years to Maturity: 5
- Frequency: Semi-Annual
Result: Annual coupon = $60. Current Yield = 5.45%. YTM โ 4.19% (lower than coupon because you paid a premium).
๐ก When you pay more than face value, the YTM is lower than the coupon rate.
๐ Example 2: Discount Bond
Situation: You buy a bond at a discount below its face value.
- Face Value: $1,000
- Purchase Price: $900 (discount)
- Coupon Rate: 4%
- Years to Maturity: 10
- Frequency: Semi-Annual
Result: Annual coupon = $40. Current Yield = 4.44%. YTM โ 5.14% (higher than coupon because you bought at a discount).
๐ก Buying below face value boosts your YTM above the coupon rate.
๐ Example 3: Par Bond
Situation: You buy a bond at exactly its face value (at par).
- Face Value: $1,000
- Purchase Price: $1,000 (par)
- Coupon Rate: 5%
- Years to Maturity: 7
- Frequency: Annual
Result: Annual coupon = $50. Current Yield = 5.00%. YTM โ 5.00% (equals coupon rate when bought at par).
๐ก When face value equals purchase price, current yield = coupon rate = YTM.
๐ Current Yield Formula
๐ Yield to Maturity (Approximate YTM) Formula
๐ Key Terms
Face Value (Par Value): The amount the bond issuer pays back at maturity. Usually $1,000 for corporate bonds.
Coupon Rate: The annual interest rate the bond pays, expressed as a percentage of face value.
Current Yield: The annual income (coupon) relative to the purchase price. Does not account for capital gains/losses at maturity.
Yield to Maturity (YTM): The total return if held to maturity, including both coupon income and any capital gain (if bought at a discount) or loss (if bought at a premium).
Premium Bond: A bond bought above face value โ YTM < coupon rate.
Discount Bond: A bond bought below face value โ YTM > coupon rate.
What Is a Bond Yield?
A bond yield is the return an investor can expect to earn from a bond investment. It's expressed as a percentage and helps you compare bonds with different prices, coupon rates, and maturities. Understanding bond yields is essential for making informed fixed-income investment decisions.
There are two key yield measures: Current Yield (the annual income relative to what you paid) and Yield to Maturity (the total return if you hold the bond until it matures). YTM is more comprehensive because it includes both regular coupon payments and any capital gain or loss at maturity.
Why Yield to Maturity Matters More
While the current yield is simple to calculate, it only tells you the income portion of your return. YTM is a more complete measure because it accounts for the difference between what you paid for the bond and what you'll get back at maturity. A bond bought at a discount (below face value) will have a higher YTM than current yield because you also earn capital appreciation. Conversely, a premium bond's YTM will be lower than its current yield because you'll lose some capital at maturity.
How Bond Prices and Yields Move
Bond prices and yields move in opposite directions. When interest rates rise, existing bond prices fall (to offer competitive yields to new buyers), pushing their yields up. When rates fall, bond prices rise and yields decline. This inverse relationship is fundamental to bond investing.
Using This Bond Yield Calculator
Enter your bond's details โ face value, purchase price, coupon rate, years to maturity, and coupon frequency โ and instantly see both the current yield and approximate YTM. The calculator also shows your annual income from coupon payments and the total return you'll receive if you hold the bond to maturity (total of all coupon payments plus the face value).
Use this tool to compare bonds, evaluate whether a bond is a good value at its current price, and understand how changes in purchase price affect your overall return. Always consult a financial advisor for personalized investment advice.