101 Concepts for the Level I Exam

Essential Concept 65: Pricing a Bond using a Binomial Tree

To find the value of the bond at a particular node, we use the backward induction valuation methodology.

Backward Induction: Start at maturity, fill in those values, and work back from right to left to find the bond’s value at the desired node. Refer to the following figure.


The value of the bond is given by the following equation:

\mathrm{Bond\ value\ at\ a\ node=0.50\times }\left[\frac{\mathrm{VH+C}}{\mathrm{(1+i)}}\mathrm{+}\frac{\mathrm{VL+C}}{\mathrm{(1+i)}}\right]