Level 1 CFA® Exam:
Volatility of Yield Spreads

Last updated: January 04, 2023

Yield-to-Maturity on Corporate Bond in CFA Exam

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Yield on Corporate Bond
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r_{b} = i_{r,f} + E(\Pi) + m + l + s

  • r_{b} - yield on corporate bond
  • i_{r,f} - real risk-free interest rate
  • E(\Pi) - expected inflation rate
  • m - maturity premium
  • l - liquidity premium
  • s - credit spread
Yield Spread (Relative to Default-Free Bond)
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r = l + s

  • r - yield spread
  • l - liquidity premium
  • s - credit spread

Level 1 CFA Exam: Volatility of Yield Spreads

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Factors that impact the level and volatility of yield spreads:

(...)

Note that the spreads for higher-quality bonds are less volatile and change less as a result of the above-mentioned factors.

If we want to quantify the impact of the change in a spread on the bond price, we can use the following formulas:

Price Impact (Due to Small Spread Changes)
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PI \approx -ModD\times \Delta s

  • PI - price impact
  • ModD - modified duration
  • \Delta s - spread change
Price Impact (Due to Large Spread Changes)
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PI \approx -(ModD\times \Delta s) + 0.5\times C\times (\Delta s)^{2}

  • PI - price impact
  • ModD - modified duration
  • \Delta s - spread change
  • C - convexity

Level 1 CFA Exam Takeaways: Volatility of Yield Spreads

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  1. Yield-to-maturity on a corporate bond depends on government benchmark yield and spread over the benchmark.
  2. Factors that impact the level and volatility of yield spreads are: credit cycle, broader economic conditions, financial market performance, broker-dealers' willingness to provide liquidity in the market, and bond market supply and demand.