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Estimating Bond Yields from Credit Ratings and Comparable Spreads

Article Quant Q&A · Author: gt6989b

Summary

The document asks how to quantify the relationship between bond yields and credit ratings when observations are unevenly distributed across rating categories, especially in lower-rated areas. The response suggests consulting high-yield bond indices with rating-based sub-indices as potential reference data. It cautions that there is no universal mapping between rating and yield because market conditions affect the relationship.

For estimating a prospective issuer’s bond yield, the response outlines a comparable-bond approach: use similar bonds’ spread-to-worst figures to estimate a credit spread, add that spread to the yield to maturity of a government benchmark with a matching maturity, and include an allowance for new-issue pricing. The answer offers a practical pricing heuristic rather than a statistical model for interpolation or dependence estimation. It gives no validation, calibration details, or guidance for sparse data, so the proposed inputs and premium need market-specific judgment.

Key ideas

  • Rating-based sub-indices from high-yield bond benchmarks can provide reference yield data.
  • The relationship between ratings and yields varies with market conditions.
  • Comparable bonds’ spread-to-worst figures can inform an issuer’s estimated credit spread.
  • A benchmark government yield of matching maturity can be combined with the estimated spread and a new-issue allowance.

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Full text
# Credit Rating vs Bond Yield


# Credit Rating vs Bond Yield












I am looking for some references on quantifying the dependence between credit rating and bond yield. I have some data (found some Bloomberg indices which give average yield based on credit rating), but it is dense in some regions and sparse or non-existent in others.

I would like to model this somehow, especially in low-B rating area... Could you please recommend me some references and/or some ideas?

Thank you very much.

UPDATE Related Question on interpolating probabilities of default

## Answer by user68318 (score 1, accepted)

https://quant.stackexchange.com/a/76235

One potential solution would be to look at a high yield bond index, as suggested by the OP. Both J.P. Morgan and BofA publish sub-indexes based on issuer rating, for instance (think Barclay's might too). In general, though, there is no hard-and-fast rule, as it's really market-condition dependent.

When pricing a bond, one good way is to look at some comps, use their spread-to-worst data to figure out a reasonable credit spread for a potential issuer, add the spread to the YTM for the corresponding benchmark government-bond maturity, and then add 25-50 basis points as a new-issue premium for good measure.

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.