Fixed Income: Simple bond illustrating all three durations (effective, mod, Mac) (FRM T4-36)

Macaulay duration is the bond's weighted average maturity (where the weights are each cash flow's present value as a percent of the bond's price; in this example, the bond's Macaulay duration is 2.8543 years. Modified duration is the true (best) measure of interest rate risk; in this example, the modified duration is 2.7847 years. We use modified duration to estimate the price impact given a parallel shock to the yield curve: given Δy of X%, we estimate an D*X% = Δ%P change in the bond's price. In this example, a 1.0% increase in yield anticipates a 1.0% * 2.7847 = -2.7847% price drop. It's important to keep in mind that duration represents only the linear approximation (i.e., convexity is omitted) so as the yield shock increases, its estimate becomes less accurate. Effective duration is used to approximate modified duration when it is not easy to access analytically. As an estimate of modified duration, effective duration has the same use/purpose as modified duration. 💡 Discuss this video here in our FRM forum: https://trtl.bz/2QUvtUf 📗 You can find Tuckman's Fixed Income Securities book here: https://amzn.to/2SOMGzv 👉 Subscribe here    / bionicturtl.  . to be notified of future tutorials on expert finance and data science, including the Financial Risk Manager (FRM), the Chartered Financial Analyst (CFA), and R Programming! ❓ If you have questions or want to discuss this video further, please visit our support forum (which has over 50,000 members) located at http://bionicturtle.com/forum 🐢 You can also register as a member of our site (for free!) at https://www.bionicturtle.com/register/ 📧 Our email contact is [email protected] (I can also be personally reached at [email protected]) For other videos in our Financial Risk Manager (FRM) series, visit these playlists: Texas Instruments BA II+ Calculator    • Texas Instruments BA II+ Calculator   Risk Foundations (FRM Topic 1)    • Risk Foundations (FRM Topic 1)   Quantitative Analysis (FRM Topic 2)    • Quantitative Analysis (FRM Topic 2)   Financial Markets and Products: Intro to Derivatives (FRM Topic 3, Hull Ch 1-7)    • Financial Markets and Products: Intro to D...   Financial Markets and Products: Option Trading Strategies (FRM Topic 3, Hull Ch 10-12)    • Financial Markets and Products: Option Tra...   FM&P: Intro to Derivatives: Exotic options (FRM Topic 3)    • FM&P: Intro to Derivatives: Exotic options...   Valuation and Risk Models (FRM Topic 4)    • Valuation and RIsk Models (FRM Topic 4)   Coming Soon .... Market Risk (FRM Topic 5) Credit Risk (FRM Topic 6) Operational Risk (FRM Topic 7) Investment Risk (FRM Topic 8) Current Issues (FRM Topic 9) For videos in our Chartered Financial Analyst (CFA) series, visit these playlists: Chartered Financial Analyst (CFA) Level 1 Volume 1    • Level 1 Chartered Financial Analyst (CFA ®...   #bionicturtle #risk #financialriskmanager #FRM #finance #expertfinance Our videos carefully comply with U.S. copyright law which we take seriously. Any third-party images used in this video honor their specific license agreements. We occasionally purchase images with our account under a royalty-free license at 123rf.com (see https://www.123rf.com/license.php); we also use free and purchased images from our account at canva.com (see https://about.canva.com/license-agree.... In particular, the new thumbnails are generated in canva.com. Please contact [email protected] or [email protected] if you have any questions, issues or concerns.