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| COURSE OUTLINE |
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| Mathematical revision |
 | Convex functions
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 | Taylor formula |
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| Revision of Swap and Bond Pricing Essentials |
 | Intuitive and quantitative approach
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 | Yield at par
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 | Forward rate - Estimating future Libors |
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| Hedging a Portfolio: the Duration/Convexity Method |
 | Hedging via sensitivity and duration: futures
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 | Hedging via zero-coupons: cash-flow matching
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 | Practical workshop . Numerical comparison of the actuarial and zero-coupon methods |
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| Valuation of Standard and Non-Vanilla Swaps |
 | Zero-coupon valuation via short-term futures and swap rates
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 | Double notional method: similarity between bond and swap portfolios
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 | Valuing Interest Rate Swaps (IRS)
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 | Valuing Currency Swaps (CIRS)
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 | Valuing exotic swaps: quanto swaps, constant maturity swaps, Libor-in-arrears swaps
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 | Sensitivity of standard an exotic swaps |
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| Problems Raised by Convexity |
 | Limitations of duration hedging
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 | Problems linked to hedging with futures (short and long-term)
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 | Bond convexity: how to hedge duration and convexity
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 | Practical workshop . Value a bond with the cash flow method or by duration/convexity |
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| Exotic Swaps Convexity: CMS, Libor in arrears |
 | Underline the issues with exotic swaps convexity
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 | Elements impacting the calculation of adjustment factors
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 | Practical workshop . Demonstrate and calculate CMS convexity |