Home / Glossary / Reinvestment Return

Reinvestment Return

Income from reinvested coupons at the assumed rate.

Reinvestment return is the additional income earned by reinvesting coupon payments at a given rate until the horizon date. It equals the future value of reinvested coupons minus their face value.

Formula
Reinvest=Couponi×(1+r)tiCouponiPinitial\text{Reinvest} = \frac{\sum \text{Coupon}_i \times (1 + r)^{t_i} - \sum \text{Coupon}_i}{P_{\text{initial}}}
Where
rr=Reinvestment rate
tit_i=Time remaining to horizon
PinitialP_{\text{initial}}=Bond price at purchase
Assumptions
  • Coupons reinvested immediately upon receipt
  • Annual compounding at reinvestment rate
  • Default reinvestment rate equals current YTM
  • Return is FV of reinvested coupons minus face value