"

9.43 Immunization: “Duration Matching”

  1. As interest rates fall, reinvestment rates fall.
  2. As interest rates fall, price rises.
  3. Cash flow matching may, at times, be impossible due to limits on bond selection, therefore immunization strategies may be implemented.
  4. Duration is the measure of time where interest-on-interest will exactly offset any capital gain/loss, such that any decrease/increase in reinvestment is offset by price increase/decrease.
  5. Immunization involves matching the duration of one’s assets with the liabilities.
  6. Because Duration changes daily (i.e., with the mere passage of time) portfolios must be re-balanced at pre-determined intervals.

License

Icon for the Creative Commons Attribution 4.0 International License

Fixed Income Mathematics Copyright © 2025 by Kenneth Bigel is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.