Lesson 2 of 5 · 12 min

Yield-to-maturity: the bond's internal rate of return

The yield-to-maturity is the single discount rate that makes the PV of a bond's cash flows equal its observed price, and an investor earns it only under three strict conditions.

In short

  • Yield-to-maturity (YTM) = the internal rate of return on the bond's cash flows, given its price.
  • It is an implied (observed) single market discount rate; market participants often just call it the yield.
  • An investor earns the YTM only if they (1) hold to maturity, (2) receive every coupon and the principal on time, and (3) reinvest every coupon at the YTM.
  • Because it assumes no default, the YTM is a promised yield.
  • Solve for the periodic IRR, then annualize: × 2 for semiannual bonds.
  • YTMs can be zero or negative: a zero-coupon bond priced above par has a negative YTM.

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Yield-to-maturity: the bond's internal rate of return · Fixed-Income Bond Valuation: Prices and Yields