// multi-utility computation suite · offline · instant · precise
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finance.business-bond-convexity Calculator
Calculates bond convexity and the duration-convexity price change estimate for a business finance fixed income position. Convexity is always positive for plain vanilla bonds — price gains from yield decreases exceed price losses from equal yield increases, benefiting bond holders.
Inputs
Face
The nominal value printed on the bond — what the issuer repays at maturity. Bonds trade above (premium) or below (discount) face value depending on interest rates.
Coupon
Reference formula or conversion factor shown for context.
Ytm
Total annualised return if you buy the bond now and hold to maturity, assuming coupons are reinvested. Higher YTM means the bond is trading at a discount.
Years
Reference formula or conversion factor shown for context.
Freq
Reference formula or conversion factor shown for context.
Results
bond price
Current fair value of the bond. Bond prices move inversely to interest rates — when rates rise, existing bonds fall in value.
mod duration
Weighted average time to receive the bond's cash flows (years). Also a price sensitivity measure: duration of 7 means a 1% rise in yields drops the bond price ~7%.
convexity
Sample size or count used in the calculation.
mac duration
Weighted average time to receive the bond's cash flows (years). Also a price sensitivity measure: duration of 7 means a 1% rise in yields drops the bond price ~7%.