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Hedging Strategy and Electricity Contract Engineering - IFOR

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96 <strong>Contract</strong> engineering<br />

period the owner has the option to transmit electricity from A to B whose<br />

payoff is given by S B 1 K l › S A › œ . But the owner also has the option to<br />

transmit electricity from B to A, whose payoff is given by S A 1 K l › S B œ .<br />

Each of these options is called a locational spread call option. These types of<br />

contracts are already traded in the Nordic market under the name contracts for<br />

difference, 17 though not as options but as futures.<br />

By owning such a transmission line we have the option in each period to exchange<br />

electricity in A for B <strong>and</strong> vice versa at the cost of 1 K l . We can hence<br />

conclude that a transmission line equals a series of locational spread options.<br />

4.9. Real option theory<br />

The traditional approach to value real assets, such as a power plant, is to use the<br />

discounted cash flow (DCF) method. The expected future cash flows E C F t<br />

are discounted at a risk-adjusted rate r a <strong>and</strong> integrated over the life time of the<br />

asset t š T › to achieve the value of the asset<br />

DC F<br />

t<br />

T<br />

e«<br />

r a´µ « t· E C Fµ dķž<br />

The risk adjusted rate could typically be the equilibrium return derived from<br />

the CAPM, introduced in Chapter 3.7.2. In many assets the owner has the<br />

possibility to control these cash flows, since he has the option to pursue different<br />

actions like postponing an investment or in our case to choose whether<br />

to produce or not. The DCF method cannot take these options into account<br />

[CA01] <strong>and</strong> hence assesses an incorrect value to the real asset. In fact, risk<br />

is seen as something purely negative, since the discount rate increases with<br />

risk, 18 whereas we know that flexible plants like the gas turbine benefit from<br />

risky, i. e. volatile prices. It is hence clear that an approach is needed where<br />

this flexibility, these built-in options are taken into account.<br />

17 These contracts were introduced in Chapter 2.7.<br />

18 Risk in the CAPM framework, for example, is given by the ¹ , determined by the volatility<br />

of the asset’s return <strong>and</strong> the correlation to the market return.

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