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Hedging Strategy and Electricity Contract Engineering - IFOR

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66 Risk management<br />

tG T V r S tG T V for most risk measure, such as variance, VaR <strong>and</strong> CVaR,<br />

RS<br />

since variance grows linear in time. 10 For other underlying price processes,<br />

which are not stationary, as is the case in the electricity market with its seasonality<br />

<strong>and</strong> mean reversion, the statement made above about the overall risk<br />

tG T V is not obvious anymore. In any case the measurement of the intermediate<br />

risks S r GuuV t can give additional information on how much capital that is<br />

RS<br />

needed in each period as insurance against adverse market movements. 11 The<br />

intermediate risks together with knowledge about certain cash flows affecting<br />

the capital base can give insight in how a firm best can utilize the risk during<br />

the horizon.<br />

The risk models used today in practice are static in the sense that they by nature<br />

are one-periodic. The portfolio is assumed to be constant over the whole period.<br />

This type of model is not forward looking, since it does not care about how the<br />

risk evolves over time. One approach to investigate the dynamics of the risk,<br />

would be to study the process S kG r V T tG for T . It should be noted that the<br />

risk itself will be a r<strong>and</strong>om variable for f‘ t , which complicates the picture.<br />

Although a complex task, measuring the risk in a multi-periodic set up could<br />

add important aspects to risk management for financial portfolios in general<br />

<strong>and</strong> for electricity portfolios with their long liquidation times in particular. We<br />

will not go further into multi period risk management, but note that it is an area<br />

for future research. For more information on multi-period risk, see Artzner et<br />

al. [ADEH01].<br />

3.7. Valuation models<br />

There are two groups of valuation models to assess financial contracts. One<br />

group is the valuation models that use absence of arbitrage to value contracts<br />

in terms of other assets. The other group contains the valuation models that<br />

derive the value from an economic equilibrium.<br />

10 Observe that VaR <strong>and</strong> CVaR for normally distributed returns are given by a scaling of<br />

the st<strong>and</strong>ard deviation.<br />

11 Corresponds to the regulatory capital in the banking sector.

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