Payoffs + Risk

Climb the payoffs

Duration And Convexity

See bond price sensitivity as a curve, not just a formula stack.

Lesson Overview

Make candidates fluent in rate sensitivity, duration approximation, and convexity correction.

Level I questions are three-choice multiple choice and are built to reward fast recognition of the relevant rule, relationship, or calculation path. For this lesson, the job is to turn the topic into a repeatable exam move rather than another note to reread.

Mental Model

A price-yield curve bends away from a straight duration tangent as rate shocks grow.

In the Above MPS system, this sits in Payoffs + Risk: Climb the payoffs. Use that shape as the memory hook, then connect it to the precise facts in the question stem.

Exam Playbook

  1. Name the topic before calculating. Decide whether the stem is asking for a definition, direction of effect, classification, or numerical result.
  2. Apply the rule that changes the answer. Ignore details that do not affect the relationship being tested.
  3. Check the answer against the common trap. If the tempting choice matches one of the traps below, slow down before locking it in.

High-Yield Map

  • Price and yield move inversely.
  • Duration estimates first-order sensitivity.
  • Convexity improves the estimate for larger yield changes.

Common Traps

  • Forgetting the negative sign in price-yield relationship.
  • Using duration without recognizing convexity impact.
  • Confusing modified duration and Macaulay duration.

Repair Drills

  • Estimate price impact from a rate change using duration.
  • State whether convexity makes the duration-only estimate too high or too low.