Aplication of the BGM Model for Interest Rate Risk Management in the Czech Environment after Financial Crisis

This article proposes an approach to an interest rate analysis for purposes of risk management.of fi nancial portfolio consisting of assets or liabilities linked to interest rates and held to maturity in the Czech environment. Czech fi nancial market is characterized by relative underdevelopment and relatively low liquidity, and in an environment of high uncertainty due to interventions and regulations of central banks and other authorities. This article fi rst describes the volatility of the Czech koruna and euro interest rates using the GARCH model. Based on this description, relationships between levels of koruna and euro swaptions volatilities are determined. After obtaining estimates of koruna swaptions implied volatilities, the BGM interest rate model is applied to Czech koruna and euro interest rate simulations. They are then compared with the real development of given interest rates. It turns out that although the BGM model was developed for the purpose fi nancial derivatives valuation in the environment of developed and liquid fi nancial markets without signifi - cant distortions, resulting simulations are relatively good, and their use can improve interest rate risk management even in the Czech environment.

Keywords: volatility, GARCH, euro, Czech Koruna, interest rate risk, BGM model