Volumetric Risk Hedging Strategies and Basis Risk Premium for Solar Power

Kanamura, Takashi (2019): Volumetric Risk Hedging Strategies and Basis Risk Premium for Solar Power.

Abstract

This paper studies volumetric risk hedging strategies for solar power under incomplete market settings with a twofold proposal of temperature-based and solar power generation-based models for solar power derivatives and discusses the basis risk arising from solar power volumetric risk hedge with temperature. Based on an indirect modeling of solar power generation using temperature and a direct modeling of solar power generation, we design two types of call options written on the accumulated non cooling degree days (ANCDDs) and the accumulated low solar power generation days (ALSPGDs), respectively, which can hedge cool summer volumetric risk more appropriately than those on well-known accumulated cooling degree days. We offer the pricing formulas of the two options under the good-deal bounds (GDBs) framework, which can consider incompleteness of solar power derivative markets. To calculate the option prices numerically, we derive the partial differential equations for the two options using the GDBs. Empirical studies using Czech solar power generation and Prague temperature estimate the parameters of temperature-based and solar power generation-based models, respectively. We numerically calculate the call option prices on ANCDDs and ALSPGDs, respectively, as the upper and lower price boundaries using the finite difference method. Results show that the call option prices based on a solar power generation process are bigger than the call option prices based on a temperature process. This is consistent with the fact that the solar power generation approach takes into account more comprehensive risk than the temperature approach, resulting in the bigger prices for the solar power generation approach. We finally show that the basis risk premiums, i.e., solar power generation-based call option prices minus temperature-based call option prices, decrease in line with initial temperature greater than around 25 ◦C. This may be because the uncertainty in solar power generation by temperature decreases due to the cancellation between the increase in solar power generation due to the increase in solar radiation and the decrease in solar power generation due to the decrease in solar panel efficiency.

• Item Type: MPRA Paper
• Language: English
• Keywords: Solar power, weather risk, temperature model, basis risk, good-deal bounds
• Subjects: G - Financial Economics > G1 - General Financial Markets > G13 - Contingent Pricing ; Futures Pricing; L - Industrial Organization > L9 - Industry Studies: Transportation and Utilities > L94 - Electric Utilities; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q4 - Energy > Q42 - Alternative Energy Sources

References

Benth, F. E., and N. A. Ibrahim, 2017, Stochastic modeling of photovoltaic power generation and electricity prices, The Journal of Energy Markets 10, 1–33.

Bhattacharya, S., A. Gupta, K. Kar, and A. Owusu, 2016, Cross hedging strategies for solar energy production using weather derivatives, Working paper, SSRN.

Brockett, P. L., M. Wang, C. Yang, and H. Zou, 2006, Portfolio effects and valuation of weather deriva- tives, Financial Review 41, 55–76.

Cao, M., and J. Wei, 2000, Equilibrium valuation of weather derivatives, Working paper, University of Toronto.

Cochrane, J. H., and J. Saa-Requejo, 2000, Beyond arbitrage: Good-deal asset price bounds in incomplete markets, Journal of Political Economy 108, 79–119.

Davis, M., 2001, Pricing weather derivatives by marginal value, Quantitative Finance 1, 1–4.

Haerdle, W.K., and B. L. Cabrera, 2012, The implied market price of weather risk, Applied Mathematical Finance 19, 59–95.

Ibrahim, S., I. Daut, Y. M. Irwan, M. Irwanto, N. Gomesh, and Z. Farhana, 2012, Linear regression model in estimating solar radiation in Perlis, Energy Procedia 18, 1402–1412.

Kanamura,T., and Ohashi, 2009, Pricing summer day options by good deal bounds, Energy Economics 31, 289–297.

Lee, Y., and S. S. Oren, 2009, An equilibrium pricing model for weather derivatives in a multicommodity setting, Energy Economics 31, 70213.

Platen, E., and J. West, 2004, A fair pricing approach to weather derivatives, Asia-Pacific Financial Markets 11, 23–53.