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AnalystPrep's Actuarial Exams Video Series
For our exam FM (Financial Mathematics) question bank, study notes, quizzes, and all our video lessons: analystprep.co...
SOA Exam FM (Financial Mathematics) Module 4, Section 3, Part 2
After completing this video you should be able to:
- Define and recognize the definitions of the following terms: duration (Macaulay and modified)
- Calculate:
• The duration and convexity of a set of cash flows.
• Either Macaulay or modified duration given the other.
Definition given in the video:
The Macaulay duration of a set of payments is the weighted average of the times of the payments, where the weight of the payment at time 𝑡 is equal to the present value of the payment at time 𝑡 divided by the present value of all the payments. (An interest rate must be given in order to get a numeric value.)