Empirical Evidence of the Market Price of Risk for Delivery Periods

In this paper, we provide empirical evidence of the market price of risk for delivery periods (MPDP) of electricity swap contracts. The MPDP enables an accurate pricing of such contracts in the presence of the delivery period such that the typical approximations can be avoided. In our empirical stud...

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Main Authors: Annika Kemper, Maren Diane Schmeck
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Risks
Subjects:
Online Access:https://www.mdpi.com/2227-9091/13/1/7
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author Annika Kemper
Maren Diane Schmeck
author_facet Annika Kemper
Maren Diane Schmeck
author_sort Annika Kemper
collection DOAJ
description In this paper, we provide empirical evidence of the market price of risk for delivery periods (MPDP) of electricity swap contracts. The MPDP enables an accurate pricing of such contracts in the presence of the delivery period such that the typical approximations can be avoided. In our empirical study, we focus on term-structure effects and identify the resulting MPDP. In presence of the Samuelson effect, we find the most pronounced MPDP close to maturity, while the MPDP disappears proportional to the Samuelson effect far away from maturity. Thus, our theory improves the pricing accuracy close to maturity.
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spelling doaj-art-8b869f76b72240d1b7e71edb7da4d27a2025-01-24T13:48:19ZengMDPI AGRisks2227-90912025-01-01131710.3390/risks13010007Empirical Evidence of the Market Price of Risk for Delivery PeriodsAnnika Kemper0Maren Diane Schmeck1Center for Mathematical Economics (IMW), Bielefeld University, 33615 Bielefeld, GermanyCenter for Mathematical Economics (IMW), Bielefeld University, 33615 Bielefeld, GermanyIn this paper, we provide empirical evidence of the market price of risk for delivery periods (MPDP) of electricity swap contracts. The MPDP enables an accurate pricing of such contracts in the presence of the delivery period such that the typical approximations can be avoided. In our empirical study, we focus on term-structure effects and identify the resulting MPDP. In presence of the Samuelson effect, we find the most pronounced MPDP close to maturity, while the MPDP disappears proportional to the Samuelson effect far away from maturity. Thus, our theory improves the pricing accuracy close to maturity.https://www.mdpi.com/2227-9091/13/1/7electricity swapsdelivery periodMPDP for diffusion riskmean reversionSamuelson effect
spellingShingle Annika Kemper
Maren Diane Schmeck
Empirical Evidence of the Market Price of Risk for Delivery Periods
Risks
electricity swaps
delivery period
MPDP for diffusion risk
mean reversion
Samuelson effect
title Empirical Evidence of the Market Price of Risk for Delivery Periods
title_full Empirical Evidence of the Market Price of Risk for Delivery Periods
title_fullStr Empirical Evidence of the Market Price of Risk for Delivery Periods
title_full_unstemmed Empirical Evidence of the Market Price of Risk for Delivery Periods
title_short Empirical Evidence of the Market Price of Risk for Delivery Periods
title_sort empirical evidence of the market price of risk for delivery periods
topic electricity swaps
delivery period
MPDP for diffusion risk
mean reversion
Samuelson effect
url https://www.mdpi.com/2227-9091/13/1/7
work_keys_str_mv AT annikakemper empiricalevidenceofthemarketpriceofriskfordeliveryperiods
AT marendianeschmeck empiricalevidenceofthemarketpriceofriskfordeliveryperiods