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Valuation & Analysis

Bond Yields & Duration

Measuring bond risk
~30 min · 6 lessons

What you'll learn

  • Compute duration
  • Predict price move from rate shift

Lessons

  1. 💥
    Same Shock, Different Damage
    Why one rate hike hits two bonds completely differently
    Start →
  2. Yield to Maturity, Precisely
    Finish the previous lesson to unlock
  3. Macaulay Duration
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  4. Modified Duration: The Workhorse
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  5. Pricing a Rate Shock
    Finish the previous lesson to unlock
  6. Final Boss: Duration in the Wild
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Sources

All content is drawn from the sources below. We deliberately avoid unverified material.

  • Bond Markets, Analysis, and Strategies (Frank J. Fabozzi)
    Pearson · book
    Primary textbook reference for YTM as the IRR of a bond's cash flows, Macaulay duration, modified duration, and convexity. Standard fixed-income treatment used across the module.
  • Fixed Income Securities (Bruce Tuckman)
    Wiley · book
    Reference for the precise definitions of yield to maturity (Ch. 3) and the duration / convexity decomposition of price changes (Ch. 4).
  • Understanding Fixed-Income Risk and Return
    CFA Institute (Fixed Income curriculum reading) · academic
    Reference for Macaulay vs modified duration, the price-change approximation, and the role of convexity. CFA Institute curriculum, Level I / II Fixed Income.
    https://www.cfainstitute.org/programs/cfa
  • Some Theoretical Problems Suggested by the Movements of Interest Rates, Bond Yields and Stock Prices in the United States since 1856 (Frederick Macaulay)
    NBER · academic
    Original 1938 paper introducing what we now call Macaulay duration as a weighted-average time to cash flows.
  • DUR <GO> and bond risk analytics documentation
    Bloomberg Terminal Help · reference
    Practitioner reference for how modified duration and convexity are computed and reported on real bond pricing screens.
  • Review of the Federal Reserve's Supervision and Regulation of Silicon Valley Bank (Barr Report)
    Board of Governors of the Federal Reserve System, April 28, 2023 · institutional
    Primary source for the SVB case study: the role of duration mismatch, held-to-maturity classification, and the magnitude of unrealized losses on the bond portfolio by year-end 2022.
    https://www.federalreserve.gov/publications/files/svb-review-20230428.pdf
  • FDIC Press Releases on Silicon Valley Bank receivership (March 2023)
    Federal Deposit Insurance Corporation · institutional
    Source for the timeline of the SVB failure and FDIC takeover, supporting the boss-lesson case study.
    https://www.fdic.gov/news/press-releases/2023/pr23016.html
  • Investor Bulletin on Interest Rate Risk
    US Securities and Exchange Commission · institutional
    Plain-English regulator reference for interest-rate (duration) risk and how it differs from credit risk for individual bond investors.
    https://www.sec.gov/investor/alerts/ib_interestraterisk.pdf