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Hedging Strategy and Electricity Contract Engineering - IFOR

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3.4 Traditional risk management models 57<br />

vantage is that it requires very accurate historical prices of all positions in the<br />

portfolio, which in many cases do not exist. In the electricity market the majority<br />

of contracts are still OTC with no price history. The historical simulation<br />

is therefore not a good approach in the power market.<br />

Monte Carlo simulation In the Monte Carlo approach a large number of<br />

scenarios are generated based on the assumptions made about the stochastic<br />

processes driving each position. The portfolio is then assessed in each scenario<br />

<strong>and</strong> the quantile, VaR is calculated. The approach is very flexible, but<br />

hence subject to subjectivity. It has the disadvantage of using large computer<br />

power. Because of the complex contracts <strong>and</strong> the complicated stochastic price<br />

process in the electricity market the flexibility of the Monte Carlo approach is<br />

however needed, why this approach seems to be best suited for electricity risk<br />

management purposes.<br />

Extreme value theory In the three approaches mentioned above one always<br />

has the problem of estimating VaR outside the data sample for high quantiles.<br />

Extreme value theory can then be used to extrapolate outside the observed sample,<br />

to estimate the size of a yet unseen disaster [EKM97].<br />

3.4.1.4. Stress test<br />

The stress test is normally conducted as a compliment to the VaR calculation,<br />

but it can also be used as a st<strong>and</strong>-alone risk measure. First a potential movement<br />

within the time horizon in the underlying risk factors is defined. That could,<br />

for example, be a 200 basis point shift in the yield curve or a 30% shift in all<br />

equity positions or a foreign exchange movements of 15%. Then the loss that<br />

would occur given these shifts is calculated, which serves as an estimate of the<br />

risk in the portfolio. No dependencies are taken into account, why stress test is<br />

conservative <strong>and</strong> very blunt. The advantage is its simplicity, but it is strongly<br />

recommended that a more sophisticated measure should be used instead of, or<br />

in addition to, stress test.

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