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David Lee

2 weeks ago

I've been analyzing corporate bonds for my portfolio, but my calculated yield to maturity doesn't match the market yields I find online, often off by about 0.5%. What specific factors could be causing this inconsistency?

I'm using the standard YTM formula: YTM = [C + (F - P) / n] / [(F + P) / 2], where C is the annual coupon, F is face value, P is price, and n is years to maturity. My data comes from sources like Bloomberg for bond prices and coupons, and I've accounted for accrued interest and day count conventions (e.g., 30/360 for some bonds). Despite this, the discrepancies persist, especially with high-yield bonds. I'm wondering if I'm overlooking market-related adjustments or calculation nuances.

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AFP

Ajeet Fakaruddin Pau
1 week ago

Discrepancies in yield to maturity calculations can arise from several practical factors. Here's a detailed troubleshooting guide:

  1. Price Type: Market yields often quote based on bid or ask prices. Ensure you're using the correct price for your analysis—bid prices for selling scenarios and ask prices for buying. For example, if a bond's bid price is $950 and ask is $955, using the wrong one can skew YTM by 0.2-0.3%.
  2. Accrued Interest Inclusion: Double-check if you're using dirty prices (clean price + accrued interest). Market yields typically reference dirty prices. Calculate accrued interest accurately using the bond's coupon frequency and settlement date.
  3. Day Count Conventions: Different bonds use varied conventions (e.g., actual/actual for government bonds vs. 30/360 for corporates). Mismatches here can lead to errors. Verify the convention for each bond in your dataset.
  4. Market Adjustments: Market yields incorporate liquidity premiums, credit risk spreads, and transaction costs. Your formula might assume a risk-free benchmark. For instance, if a bond has a credit rating of BBB, add a spread of 1-2% to the risk-free rate for a more accurate comparison.
  5. Calculation Method: The simplified formula you're using has limitations. For precision, use iterative methods or tools like Excel's YIELD function. Example: For a bond with F=$1000, C=$50 annually, P=$950, n=10 years, YTM ≈ 5.73%, but market data might show 6.0% due to embedded options or market sentiment.

As a best practice, cross-verify with online calculators or financial software, and consider factors like callable bonds or inflation adjustments. If issues remain, review data sources for timeliness or errors.

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ACS

Alex Chandra Saran
1 week ago

Thanks for the detailed context. It might be worth considering bid-ask spreads as a factor.
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