Lesson 2 of 5 · All lessons in this module
  1. The three sources of return on a fixed-rate bondVideo lesson
  2. Horizon yield: the realized return when rates moveVideo lesson
  3. Reinvestment risk, price risk and the duration gapVideo lesson
  4. Calculating Macaulay duration on a coupon dateVideo lesson
  5. Macaulay duration between coupon dates and the closed-form formula

Lesson 2 of 5 · 14 min

Horizon yield: the realized return when rates move

The horizon yield is the compound annual return from what you paid to what you hold at the horizon: reinvested coupons plus the sale price or redemption value.

In short

  • Horizon yield = the investor's IRR over the holding period: (ending value/purchase price)1/T−1(\text{ending value}/\text{purchase price})^{1/T} - 1.
  • Ending value = future value of reinvested coupons + sale price (or redemption at par if held to maturity).
  • If rates rise right after purchase: reinvestment income rises, the sale price falls.
  • If rates fall: reinvestment income falls, the sale price rises.
  • A buy-and-hold investor is hit only through reinvestment; a short-horizon investor is hit mostly through the sale price.

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