Comparing TIPS Breakeven Inflation with Realized Inflation
Summary
The document proposes evaluating how well TIPS breakeven inflation rates correspond to inflation realized over the matching bond horizon. The breakeven measure is described as the yield difference between a nominal Treasury and a comparable TIPS. For realized inflation, the response uses the ratio of ending to starting CPI index levels, annualized over the bond’s maturity, rather than choosing among simple, moving, or exponentially weighted averages.
The suggested comparison is to pair a breakeven observation with the annualized CPI change over its horizon, then examine forecast accuracy or patterns across maturities. The response identifies non-seasonally adjusted CPI for urban consumers as its index measure. This is a proposed measurement approach, not a reported study: no sample, correlation estimate, or forecast results are supplied. The text also does not address breakeven components such as inflation risk and liquidity premia, which can complicate interpreting the yield spread as a pure expectation.
Key ideas
- Compare a breakeven rate with inflation realized over the same maturity horizon.
- The breakeven measure is formed from nominal Treasury yield minus comparable TIPS real yield.
- Annualized realized inflation can be calculated from the ratio of ending and starting CPI index values.
- The document proposes a study but provides no empirical correlation or accuracy results.
- Breakeven yields may reflect factors beyond expected inflation.
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Full text
# Breakeven Inflation Rate vs Actual Inflation Rate Study
# Breakeven Inflation Rate vs Actual Inflation Rate Study
I am relatively new to the realm of TIPS and inflation rate and am working on a study. I wish to investigate the correlation between the breakeven inflation rate for (5Y, 10Y, 20Y) TIPS and actual inflation rate.
Based on my understanding, the BE rate is a market expectation of inflation. It is controlled by the spread between traditional bonds minus the corresponding TIP bonds. If the BE rate equals the average inflation rate over the term of the bond, then both bonds should carry roughly the same yield. Hence, a bet on TIPS is a hedge on inflation?
I am interested in seeing if there is any correlation between BE rate and actual inflation.
- I would start simple, by EX: taking BE rate for 5Y bond @ 2010 Jan. Then, calculating average inflation from 2010 - 2015.
- After that, checking how accurate the expectation was or are there any patterns or correlations.
I'm curious as to how to go about doing this. For example, how to calculate the bolded term average?(moving average, simple average, weighted average, EMA, etc.)
Any help and/or advice is greatly appreciated
## Answer by dm63 (score 2)
https://quant.stackexchange.com/a/63338
I would compare the breakeven rate (yield of most recently issued nominal bond minus real yield of most recently issued TIPS) with the realized rate, with the latter determined as follows : $$ (EndingTipsIndex/StartingTipsIndex)^{(1/n)} - 1$$
Where TIpsIndex is the CPI For All Urban Consumers Non Seasonally Adjusted, which you can find on the BLS website or on Bloomberg CPURNSA Index.
And n is the maturity of the bonds.Shown in full with attribution under the source's licence. Licence: CC BY-SA 4.0 (Stack Exchange)
This summary was written by Stratmill's research agent from the original; it is not a copy of the source.