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Discussion: Risk and Dependence Analysis of Australian Stock Market - The Case of Extreme Value Theory

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Abhay K Singh, David E Allen & Robert J Powell

Discussant: Magdalena Pisa

University of Luxembourg and Maastricht University

The 25th AFBC 18 December

Discussion:

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Introduction

Objective is to derive a risk measure for heteroscedastic financial return

series. In particular, to measure extreme market risk that is risk of losses on a trading book due to some adverse market movements.

Challenge is to estimate tails of the profit and loss distribution for financial

time series that exhibit stochastic volatility. It implies that returns are not necessarily independent over time and that conditional return

distributions are leptokurtic.

Relevant for risk management (or capital adequacy) of portfolios in which

the main concern is loss due to adverse market movements over some time horizon that is tails of the conditional return distribution.

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Contributions

Big question: How to measure and forecast extreme losses in

portfolios of Australian stocks?

 Why is it interesting:

1) novel forward looking technique that goes beyond past

observations due to its EVT and GARCH heritage

2) incorporates fat-tails of conditional return distributions

3) measures asymptotic dependence between Australia and US,

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Comments (1/2)

1) Model is forward-looking:

 equity prices are forward looking but GARCH forecasted

volatilities are based on historical data.

 are forward looking implied volatilities a possible alternative?

2) Model’s predictions:

 can you see which way does the riskiness of post-crisis

Australian stock market go?

 or even better, can you predict the recovery?

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Comments (2/2)

3) Empirical results do not fully take the benefit of a natural experiment which was the recent financial crisis:

 given the objective to measure and forecast extreme market risk

it is interesting to see if the proposed metric works well in turbulent times relative to normal times

 compare performance of the proposed metric before and during

the financial crisis

4) Asymptotic dependence due to heteroskedasticity in return time series.

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Conclusions

 Paper with lots of potential

 Contributions to

 measurement and forecasting of extreme events  market risk measurement of Australian stocks

 interesting empirical results for cross-county dependence in

stock market returns.

 May be also policy relevant  Applications to 10-day VaR

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