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Techniques for Handling Extreme Events in the Context of Portfolio Construction
This presentation, based partly on the book 'Extreme Events: Robust Portfolio Construction in the Presence of Fat Tails', explores
- Why return serives are often 'fat tailed' (and what this means)
- Extreme Value Theory (EVT) and possible refinements
- Modelling joint fat-taied behaviour
- Lessons for portfolio construction.
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Slides
1
Techniques for Handling Extreme Events in the Context of Portfolio Construction
2
Background
3
Agenda
4
Agenda
5
Modelling fat tails for individual risks
6
Many (most?) investment return series are ‘fat-tailed’
7
Why are return series often fat-tailed?
8
Distributional mixtures of Normal distributions
9
Impact of time-varying volatility
10
Impact of time-varying volatility: longer-term data
11
Crowded trades and leverage
12
Selection effects (1)
13
Selection effects (2)
14
Agenda
15
Extreme Value Theory (EVT)
16
Restatement of EVT results
17
Challenges
18
Tail Weighted Maximum Likelihood Estimation (TWMLE)
19
Agenda
20
Joint fat-tailed behaviour
21
Copulas: a well-trodden (mathematical) path
22
Factor identification
23
Fundamental data limitations: the ‘fine structure’ problem
24
Agenda
25
Portfolio construction
26
Portfolio construction: sensitivities
27
Regime switching
28
Impact on asset allocation problem
29
Avoiding undue complexity?
30
Summary
31
Important Information
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