Yield Rates, Duration, Convexity, Spot Rates, Forward Rates, and Immunization
Free SOA Exam FM (Financial Mathematics) lesson in General Cash Flows, Portfolios, and Asset-Liability Management. 12 min read, ~1,798 words.
Macaulay duration = PV-weighted average time. Modified duration = Macaulay /. First-order:. Second-order adds. Spot rate prices a zero at maturity. Forward rate links adjacent spots via no-arbitrage. Redington immunization: PV match + duration match + convexity dominance. Full immunization: PV match + assets bracket the single liability in time.
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What this lesson covers
- Content
- Example 1
- Example 2
- Common Mistakes
- Key Takeaways
- Exam Shortcuts
Learning objectives
- 5a
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