Macaulay Duration

📘 Fixed Income Series | Understanding Macaulay Duration In this lecture of the Fixed Income series, we introduce one of the most important concepts in bond valuation and risk management—Macaulay Duration. Before diving into the formula, we build a strong intuitive understanding of what duration really means and how it relates to bond cash flows, interest rate sensitivity, and bond valuation. 🔹 Topics Covered: Recap of Duration and Convexity Duration as Interest Rate Sensitivity Duration as the Slope of the Price-Yield Curve Understanding Effective Duration vs Modified Duration Key assumptions behind Modified Duration Why Effective Duration is useful for bonds with changing cash flows Introduction to Macaulay Duration Macaulay Duration as the Average Waiting Time for Cash Flows Zero-Coupon Bond Duration and its relationship with Maturity Impact of Coupon Payments on Duration Intuitive explanation of duration using bond cash flow timelines Weighting cash flows using Present Values Derivation and interpretation of the Macaulay Duration formula 📈 Key Insights: ✅ Macaulay Duration measures the average time it takes for an investor to recover the bond's cash flows. ✅ For a zero-coupon bond: Macaulay Duration = Maturity ✅ Higher coupon payments reduce duration because investors receive cash flows earlier. ✅ Duration is not only affected by maturity but also by the timing and size of cash flows. ✅ Understanding Macaulay Duration is essential before moving to Modified Duration, Callable Bonds, Putable Bonds, and Securitized Products. 🎯 Ideal for: CFA Candidates FRM Candidates Finance Students Fixed Income Analysts Investment Professionals In upcoming lectures, we will connect Macaulay Duration to Modified Duration and explore how duration behaves for callable bonds, putable bonds, floating-rate instruments, and other fixed-income securities. #FixedIncome #MacaulayDuration #BondValuation #Duration #Convexity #CFA #FRM #FixedIncomeAnalysis #BondMarkets #InterestRateRisk #FinanceEducation