Interest Rate Risk Management
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Day 1 Fundamentals and Pricing Models The Black Scholes Merton options pricing framework Adapted Processes, filtrations and Martingales Risk Neutral Pricing – a consequence of hedging Brownian Motion – quadratic variation: a measure of volatility Markov processes and the Feynman Kac Formula -The Black-Scholes option model -The Vasicek term structure model (and other equilibrium models) -The Cox Igersoll Ross term structure model -No arbitrage models -Girasnov´s Theorem The construction of a risk neutral measure -Pricing via risk-neutral measure -The Martingale Representation Theorem -The Fundamental theorem of asset pricing -No arbitrage and the existence of a risk neutral measure -Hedging and the uniqueness of the risk neutral measure The Heath Jarrow Morton model -No arbitrage condition -Implementation in practice The Change of Numeraire -Numeraires and the Risk Neutral Measures -FX models -Foreign and domestic risk neutral measures -The Gaman Kolhagen pricing formula -Call-Put duality Equilibrium models -The Vasicek Model -The “Log-Normal” model -The Cox Ingersol Ross model No arbitrage models -The Ho-Leee model -The Hull & White model -The Heath Jarrow Morton (“HJM”) model Forward measures -The Merton Option pricing formula -Brace Gatarek Musiela (LIBOR Market) family of models -Application for a Caplet Pricing -The Black Caplet formula Local volatility models Stochastic volatility models -Specifying the Instantaneous volatility of forward rates -Applications Day 2 Products and Trading Conventions Cash products -Bond markets and trading conventions -Securitized debt markets -Mortgage markets and ABS products -Syndicated loan markets Derivative products -Linear products: IR futures and forwards -IR swaps – trading mechanics -FX & cross currency swaps -IR futures markets – eurodollar futures -Applications – linear hedging strategies -Excel case studies: -Hedging a bond with an interest rate swap -Quantifying the convexity effect -Hedging a swap with a eurodollar futures contract -Hedging a swap in arrears with eurodollar futures contract – evaluation of basis risk -Nonlinear products -Caps, floors, collars -Exotic IR options -Swaptions and Spreadlocks -Spread options -Applications -Hedge parameters -Excel case studies: -Pricing a simple cap/ collar structure -Pricing a swaption with a constant volatility model -Pricing IR options with CEV volatility models -Pricing and hedging exotic IR options Day 3 Treasury Applications The treasury business remit The treasury “Banking Books”: net interest income generation (with / without customer margin) Liquidity risk (internal lender of last resort) Definition of liquidity Funding liquidity vs. market liquidity Dovetailing into the enterprise risk management framework Re-pricing risk (interest rates, FX) Maturity mismatch risk and the dynamics of liquidity gaps -Case Study: US Mortgage Bank ST (MT & LT) funding and securing of contingent funding / liquidity sources Regulatory compliance & rating safeguarding Residual risks in treasury operations Counterparty default and settlement risks Operational risks Treasury operational models FTP Fundamentals: -The cost of funds method -The net funding method -The pooled funding method -The matched maturity levels Determining the market implied liquidity premium Case Study: the optimal funding decision Measures of interest rate risks – the “traditional methods” Duration -Convexity Properties of portfolio duration and convexity DV01, PV01, CV01 Nonlinear sensitivities – “the Greeks” Interest rate gaps and applications Practical problems and constraints – best practices of bridging the “gaps” Systematic risk hedges -Hedging non-linear interest rate risks in treasury banking books -Measuring and managing residual risks -Measuring and managing counterparty risks Hedge accounting principles: IFRS 9 and hedge effectiveness testing -Single hedges -Portfolio hedges Discussion and conclusions
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