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1 Markets I: The Ecosystem and Exchange-Traded Marketsالأسواق عبر الإنترنت 2 Markets II: Rates, FX and Creditالأسواق عبر الإنترنت 3 Markets III: Commodities, Energy and Cryptoالأسواق عبر الإنترنت 4 Quantitative Methodsالأساليب عبر الإنترنت 5 Derivatives and Volatilityالمشتقات عبر الإنترنت 6 Rates, Credit, XVA and Riskالفائدة والائتمان والمخاطر عبر الإنترنت 7 Research Craft: Predictors, Backtests, Measurement, Portfoliosالبحث عبر الإنترنت 8 Strategies I: Equities and Futuresالاستراتيجيات عبر الإنترنت 9 Strategies II: Volatility, Relative Value, Macro and the Bank Desksالاستراتيجيات عبر الإنترنت 10 Microstructure and Executionالتنفيذ عبر الإنترنت 11 Market Making and High-Frequency Tradingصناعة السوق عبر الإنترنت 12 Machine Learning for Marketsتعلم الآلة عبر الإنترنت 13 Low-Latency Softwareالتكنولوجيا عبر الإنترنت 14 Networks, Hardware and Trading Infrastructureالتكنولوجيا عبر الإنترنت 15 Research, Data and Risk Platformsالتكنولوجيا عبر الإنترنت 16 The Desk and the Firmالشركة عبر الإنترنت 17 The Industry: Firms, Roles and Careersالمسارات المهنية عبر الإنترنت 18 The Interview Bookالمسارات المهنية عبر الإنترنت
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Quantitative Finance · المسرد

ما معنى Convexity adjustment؟

Definition 8.9 Markets II: Rates, FX and Credit · الفصل 8 — Short-Term Interest-Rate Futures

The convexity adjustment of a short-rate future is the difference between its implied rate and the forward rate for the same period.

The Ho–Lee convexity adjustment of a three-month futures rate by the start of its period, for three volatilities. It grows with the square of the horizon and of the volatility: negligible for the first contracts, tens of basis points for the last. Data: the chapter’s tutorial.
Figure 8.4. The Ho–Lee convexity adjustment of a three-month futures rate by the start of its period, for three volatilities. It grows with the square of the horizon and of the volatility: negligible for the first contracts, tens of basis points for the last. Data: the chapter’s tutorial.

أمثلة

Example 8.11 (Five and ten years out)

With a normal volatility of 1% a year, the three-month contract starting in five years carries 12×0.012×5×5.25=13.1\frac12 \times 0.01^2 \times 5 \times 5.25 = 13.1 basis points of adjustment; the one starting in ten years, 51.25. At the front it is negligible; at the back of the strip it is larger than a typical move in a day, and a curve built from futures without it is wrong (Figure 8.4).

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