<p>In this paper, we extend the <i>market price of risk for delivery periods</i> (MPDP) of electricity swap contracts by introducing a dimension for jump risk. As introduced by Kemper et al. [<CitationRef CitationID="CR30">30</CitationRef>], the MPDP arises through the use of geometric averaging while pricing electricity swaps in a geometric framework. We adjust the work by Kemper et al. [<CitationRef CitationID="CR30">30</CitationRef>] in two directions: First, we examine a Merton type model taking jumps into account. Second, we transfer the model to the physical measure by implementing mean-reverting behavior. We compare swap prices resulting from the arithmetic (approximated) average to the geometric weighted average. Under the physical measure, we discover a decomposition of the swap’s market price of risk into the instantaneous market price of risk and the MPDP.</p>

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The market price of jump risk for delivery periods: pricing of electricity swaps with geometric averaging

  • Annika Kemper,
  • Maren Diane Schmeck

摘要

In this paper, we extend the market price of risk for delivery periods (MPDP) of electricity swap contracts by introducing a dimension for jump risk. As introduced by Kemper et al. [30], the MPDP arises through the use of geometric averaging while pricing electricity swaps in a geometric framework. We adjust the work by Kemper et al. [30] in two directions: First, we examine a Merton type model taking jumps into account. Second, we transfer the model to the physical measure by implementing mean-reverting behavior. We compare swap prices resulting from the arithmetic (approximated) average to the geometric weighted average. Under the physical measure, we discover a decomposition of the swap’s market price of risk into the instantaneous market price of risk and the MPDP.