Bond Math Calculator

See how changing interest rates affect bond prices

 

Rising and falling interest rates can have a significant impact on US Treasuries, which are issued by the US government. Other bond types, such as corporate bonds and mortgage-backed bonds, could be impacted differently due to credit risk (i.e., concerns about the issuer’s ability to make timely bond payments) and other factors. The below analysis depicts bond returns given yields, duration, and spread duration given a range of yield and spread outcomes.


How to use the tool: Enter yield, duration, and spread duration characteristics on the left to view projected 12-month forward returns of a portfolio of bonds with similar characteristics given changes in treasury yields and credit spreads.

Duration (years)

Duration: Sensitivity of a bond or fund’s price to changes in interest rates. For simplicity we assume the entire curve shifts parallel (no steepening or flattening, all maturities move by the same amount)

0
6
10
Spread Duration (years)

Spread Duration: Sensitivity of a bond or fund’s price to changes in its credit spread.

0
3.5
10
Yield (percentage)

Yield: The annual income and price appreciation you expect to receive from holding a year. If the bond is currently at par, yield = coupon, otherwise it also includes accretion of price discount or premium.

Yields Increments (bps)
Credit Spread Increments (bps)
Select an Index
  • US Treasury Index
  • US Aggregate Bond Index
  • US High Yield Corporate Index

Hypothetical one-year returns given an index or portfolio with yield of 5%, duration of 6 years, and spread duration of 3.5

∆ Treasury Yield (bps, parallel)
∆ Credit Spreads (bps) -100-50050100
-10011.008.005.002.00-1.00
-5011.008.005.002.00-1.00
011.008.005.002.00-1.00
5011.008.005.002.00-1.00
10011.008.005.002.00-1.00

The above analysis does not guarantee future results. Simulated or hypothetical performance results have certain inherent limitations. Simulated or hypothetical trading programs in general are also subject to the fact that they are designed with the benefit of hindsight.

The scenario is a simple analysis which calculates the potential total return based on a portfolio's duration, spread duration and yield

The above analysis does not guarantee future results. Simulated or hypothetical performance results have certain inherent limitations. Simulated or hypothetical trading programs in general are also subject to the fact that they are designed with the benefit of hindsight. The input is based on the information provided to AllianceBernstein. Under no circumstances does the information contained within represent a recommendation to buy or sell securities. This tool is a general communication and is educational in nature. The output of the tool is for informational purposes only and is not designed to be a recommendation of any specific investment product, strategy, or plan design or for any other purpose. By providing this analysis, none of AllianceBernstein or its employees have the responsibility or authority to provide or provided investment advice in a fiduciary capacity.