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How Bond Yield to Maturity Relates to Effective Annual Rate

Article Quant Q&A · Author: MaryD651
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Summary

The document raises a question about whether a bond’s yield to maturity (YTM) is the same as the effective annual rate (EAR) on its cash flows. It points out that YTM incorporates the present value of future coupon payments and asks whether EAR reflects those payments in the same way.

No answer, calculation, or example is provided, so the distinction is posed rather than explained. The question is useful as a prompt to examine how a bond’s stated yield relates to the timing and compounding of its cash flows, but the document alone does not establish a conversion rule or clarify which definition of EAR is intended. Readers need additional explanation to resolve the comparison.

Key ideas

  • The document asks whether a bond’s YTM equals the EAR on its associated cash flows.
  • It notes that YTM accounts for the present value of future coupon payments.
  • It provides no calculation or answer resolving the relationship.

Tags

Fixed incomeStatistics
Full text
# Yield-to-maturity (YTM) vs effective annual rate (EAR)


# Yield-to-maturity (YTM) vs effective annual rate (EAR)












If the yield-to-maturity (YTM) on a bond is 5%, is the effective annual rate (EAR) on the cash flows associated with the bond also 5%?

I know that YTM does account for the present value of a bond's future coupon payments. Does the effective annual rate on cash flows associated with a bond not reflect this?

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.