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Foundation ERM Session 3: Risk measures
This presentation is based on a part of an academic course on Enterprise Risk Management (ERM) titled ‘Risk measures’ and covers topics such as: a generic (mathematical) view of risk in financial firms, Value-at-Risk (VaR) (including definition, link with capital requirements, MVaR (‘Marginal VaR’), IVaR (‘Incremental VaR’) and risk budgeting), other risk measures, coherence and merits of VaR versus TVaR (Tail VaR) / Expected Shortfall (ES)
Slides
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Session 2: Risk measures
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Session 2: Risk measures
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A generic (mathematical) view of risk in financial firms
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Loss definition
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Equity-land versus bond-land
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Session 3: Risk measures
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Value-at-Risk
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VaR versus Tail VaR (TVaR)
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Mathematical definitions of VaR and TVaR
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VaR estimation
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Session 2: Risk measures
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VaR closely linked to capital requirements
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VaR and expected/unexpected loss
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Session 3: Risk measures
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Marginal VaR (MVaR)
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The Gaussian Case
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Incremental VaR (IVaR)
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Risk budgeting
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Session 2: Risk measures
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Other risk measures
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Allowing for diversification
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VaR homogeneity
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Session 3: Risk measures
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Axiomatic approach
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Characterisation of coherent risk measures
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VaR is coherent for Gaussian distributions
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Advantages/Disadvantages of VaR
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Session 2: Risk measures
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VaR versus TVaR
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Arguments based on coherence
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What are the underlying mindsets?
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Which takes into account loss in the event of default?
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Different stakeholder perspectives (1)
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Different stakeholder perspectives (2)
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Treatment of illiquidity (1)
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Treatment of illiquidity (2)
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Treatment of illiquidity (3)
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Stress testing methodologies
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Important Information
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