VaR of Interest Rate Products

Generalities
  • Statistics (correlation, variance, covariance,…)
  • Definition of the Value at Risk (VaR)
  • Various VaR approaches (quantities, volatility…)
  • Normal distribution assumptions
  • The 3 pillars of the VaR
  • The VaR methodologies
Fixed-income products
  • Bonds
  • FRNs
  • Forward Rate Agreements (FRAs), Fwd FX
  • Swaps, swaptions
  • Bond Futures, cheapest-to-deliver, options
Parametric VaR
  • Calculation on 1 asset
  • Calculation on 2 assets, n assets
  • Choice of risk factors (Govt, interbank, corporate yield curves, notion of rating)
  • Discount factors
  • Zero-coupon rates
  • Mapping of future cash flows
  • Calculation of parametric VaR
  • Case studies
  • Use of sensitivities
  • Pros and cons
Historic VaR
  • Calculation principles
  • Yield of zero-coupons
  • Application exercises
  • Advantages and disadvantages
Lessons from the crisis
VaR extensions
  • Case of non Normal portfolios: C-VaR
  • Marginal VaR
  • Component VaR
  • Models overweighing recent data (EWMA, Arch/Garch)
  • Practical workshop
Monte Carlo VaR
  • General principles
  • Yield curve diffusion model
  • Examples
  • Advantages and disadvantages
VaR limitations and other indicators
  • Limitations of VaR models: invalidation of Normal distribution, volatility of volatility and correlation, quantile, calculation horizon, historical depth
  • Categories of stress tests: historical, theoretical, adverse, models
  • Notions of back-testing

  • Understand IR products risk factors and sensitivities
  • Know how to calculate the VaR of fixed-income books according to various methods
  • Know the advantages, disadvantages and limitations of each VaR method
  • Know the different methods to measure risk other than VaR
  • Pedagogic approach of the most important statistic tools used in risk management for fixed income
  • Global analysis of the fixed-income market during the crisis: practical approach based on all shapes of the yield curve
  • Risk management
  • Financial directors
  • Middle office
  • Traders / Managers
  • Inspection / Audit / Internal control
  • Financial engineers
  • Conformity
  • IT
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