Bond Yield / YTM Calculator

Yield to Maturity is the annual return if you hold a bond to maturity. Approximate formula: YTM = [C + (F − P)/n] / [(F + P)/2], where C is annual coupon, F is face value, P is current price, n is years to maturity. Example: $1,000 face value bond, 6% coupon ($60/year), priced at $950, 10 years to maturity. YTM ≈ [60 + (1000−950)/10] / [(1000+950)/2] = [60 + 5] / 975 = 6.67%. Exact YTM requires iterative calculation. Most bond calculators handle this. The calculator handles current YTM and YTC scenarios.

Current yield = Annual coupon / Current price. YTM = total return if held to maturity, including price appreciation/depreciation toward face value. Example: 6% coupon bond ($60/year) trading at $950: current yield = 60/950 = 6.32%. YTM might be 6.67% (higher because you'll gain $50 at maturity from buying below par). For premium bonds (priced above par), YTM is lower than current yield. For bonds at par, current yield ≈ YTM ≈ coupon rate. YTM is the more comprehensive measure. Use both: current yield for immediate income, YTM for total return.

Bond prices and yields move inversely. When interest rates in the market rise, existing bonds with lower coupons become less attractive — their prices fall to make their yields competitive. When rates fall, existing bonds with higher coupons become more valuable — prices rise. Example: 5% coupon bond at face value yields 5%. If market rates rise to 6%, the bond price might drop to $920 to bring its YTM up to 6%. This relationship is why bond mutual funds lose value when rates rise (and vice versa). Long-duration bonds are most sensitive. The calculator shows price-yield sensitivity.

Yield to Call (YTC) is the return if the bond is called (redeemed early) at the call date. Callable bonds give the issuer the right to redeem before maturity, usually if rates fall. YTC formula is similar to YTM but uses call price (often slightly above par) and call date instead of face value and maturity. Example: bond with 5-year call at $1,030. If you bought at $1,050 with 8% coupon, YTC accounts for that premium and earlier redemption. Investors should look at "yield to worst" — the lower of YTM and YTC. The calculator handles both.

Modified duration measures bond price sensitivity to interest rate changes — approximately how much the bond price changes for a 1% change in yield. Example: modified duration of 7 means a 1% rise in yields drops the price by ~7%. A 0.5% drop in yields raises price by ~3.5%. Longer maturity and lower coupons increase duration. Used by portfolio managers to gauge interest rate risk. Shorter duration bonds are less rate-sensitive (good when rates are rising). Convexity refines the linear approximation for large rate moves. The calculator computes modified duration for any bond.

A higher coupon rate means the bond pays more interest income relative to face value. If two bonds have the same maturity and risk but different coupons, the higher-coupon bond has a higher price (in a stable rate environment) and slightly different YTM dynamics. When market rates change, lower-coupon bonds typically have higher duration (more rate-sensitive). Coupon rate is fixed at issue; market price fluctuates to keep yields competitive. Zero-coupon bonds (no coupon) have the highest sensitivity to rate moves. The calculator shows YTM and total return for various coupon levels.

Because bond prices adjust to match prevailing market yields. If a bond pays $50 coupon on $1,000 face value (5%) and market rates rise to 6%, no new buyer would pay $1,000 for it — they'd want $50 to represent 6% yield. The bond price falls to about $833 ($50/0.06 simplified). Lower price means higher yield for the new buyer. Conversely, when rates fall, the bond's fixed coupon becomes attractive — buyers bid up the price, lowering yield. This is fundamental to bond market mechanics. The calculator demonstrates this relationship visually.