Immunization (finance)
From Wikipedia, the free encyclopedia
In finance, interest rate immunization is a strategy that insures that a change in interest rates will not affect the value of a portfolio. Similarly, immunization can be used to insure that the value of a pension fund's or a firm's assets will increase or decrease in exactly the opposite amount of their liabilities, thus leaving the value of the pension fund's surplus or firm's equity unchanged, regardless of changes in the interest rate.
Interest rate immunization can be accomplished by several methods, including cash flow matching, duration matching, and volatility and convexity matching. It can also be accomplished by trading in bond forwards, futures, or options.
Other types of financial risks, such as foreign exchange risk or stock market risk, can be immunized using similar strategies. If the immunization is incomplete, these strategies are usually called hedging. If the immunization is complete, these strategies are usually called arbitrage.
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[edit] Cash flow matching
Conceptually, the easiest form of immunization is cash flow matching. For example, if a financial company is obliged to pay 100 dollars to someone in 10 years, then it can protect itself by buying and holding a 10 year zero coupon bond that matures in 10 years and has a redemption value of $100. Thus the firm's expected cash inflows exactly match its expected cash outflows, and a change in interest rates will not affect the firm's ability to pay its obligations. Nevertheless, a firm with many expected cash flows can find that cash flow matching is difficult or expensive to achieve in practice.
[edit] Volatility matching
A more practical alternative immunization method is duration matching. Here the duration of the assets, or first derivative of the asset's price function with respect to the interest rate, is matched with the duration of the liabilities. To make the match more accurate, the convexity or second derivative of the assets and libilities, can also be matched.
[edit] Immunization in practice
Immunization can be done in a portfolio of a single asset type, such as government bonds, by creating long and short positions along the yield curve. It is usually possible to immunize a portfolio against the risk factors that are most prevalent. A principal component analysis of changes along the U.S. Government Treasury yield curve reveals that more than 90% of the yield curve shifts are parallel shifts, followed by a smaller percentage of slope shifts, and a very small percentage of curvature shifts. Using that knowledge, an immunized portfolio can be created by creating long positions with durations at the long and short end of the curve, and a matching short position with a duration in the middle of the curve. These positions protect against parallel shifts and slope changes, in exchange for exposure to curvature changes.
[edit] Difficulties
Immunization, if possible and complete, can protect against term mismatch but not against other kinds of financial risk such as default by the borrower (of a bond).
Users of this technique include banks, insurance companies, pension funds, and bond brokers.
The disadvantage associated with duration match is it assumes the duration of assets and liabilities are unchanged which is not the truth.
[edit] See also
- Arbitrage
- Bond convexity
- Bond duration
- Bond (finance)
- Covered interest arbitrage
- Duration gap
- Hedging
- Interest rate parity
[edit] Recommended reading
- Wesley Phoa, Advanced Fixed Income Analytics, Frank J. Fabozzi Associates, New Hope Pennsylvania, 1998. ISBN 1-883249-34-1
- Immunization Using Principal Component Analysis
