Macaulay Duration (SOA Exam FM – Financial Mathematics – Module 4, Section 3, Part 1)

Master Macaulay Duration for SOA Exam FM (Financial Mathematics) with this step-by-step lesson from AnalystPrep. This video explains how Macaulay duration measures the weighted average time until bond cash flows are received, accounting for the time value of money and the present value of future payments. We'll explore how to calculate Macaulay duration using bond coupon payments, redemption values, and discount factors. Through a practical bond example, you'll learn how to construct cash flow timelines, calculate weighted averages, apply present value calculations, and understand the Macaulay duration formula. What You'll Learn: ✓ Understanding Macaulay duration in financial mathematics ✓ Distinguishing between Macaulay and modified duration ✓ Constructing bond cash flow timelines ✓ Understanding coupon payments and redemption values ✓ Calculating average payment times using weighted averages ✓ Understanding the limitations of simple arithmetic averages ✓ Applying the time value of money to bond cash flows ✓ Calculating present values using discount factors ✓ Determining present value weights for individual cash flows ✓ Understanding the Macaulay duration formula ✓ Using summation notation to calculate duration ✓ Applying Macaulay duration to SOA Exam FM problems Chapters: 0:00 Introduction to Macaulay Duration 0:30 Bond Cash Flow Timeline and Duration Example 1:16 Understanding Average Payment Times 2:04 Calculating Weighted Average Payment Times 3:26 Understanding Weighted Average Calculations 4:12 Defining Weights in Duration Calculations 4:57 Incorporating the Time Value of Money 5:23 Calculating Present Value Weights 6:14 Verifying Weighted Average Properties 6:52 Deriving the Macaulay Duration Calculation 7:49 Understanding Macaulay Duration 7:59 General Definition of Macaulay Duration 8:42 Calculating Duration Using Discounted Cash Flows 9:35 Macaulay Duration Formula Using Summation Notation 10:04 Final Review of Macaulay Duration Continue Your SOA Exam FM Preparation: SOA Exam FM – Financial Mathematics: https://analystprep.com/actuarial-exa... SOA Exam FM Study Notes: https://analystprep.com/actuarial-exa... SOA Exam FM Practice Questions: https://analystprep.com/actuarial-exa... Explore our actuarial exam study notes, video lessons, practice questions, and exam preparation resources: https://analystprep.com/actuarial-exams/ Follow AnalystPrep for More SOA Exam FM and Actuarial Science Education Content: Facebook:   / analystprep   Instagram:   / analyst_prep   LinkedIn:   / analystprep   #SOAExamFM #ExamFM #FinancialMathematics #ActuarialExams #MacaulayDuration #BondDuration #ModifiedDuration #BondValuation #TimeValueOfMoney #PresentValue #BondCashFlows #FixedIncome #InterestRateRisk #ActuarialScience #AnalystPrep