Abstract
Poor air quality has a negative impact on social life and economic production activities. Using financial derivatives to hedge risks is one of the important methods. Air quality index (AQI) options are designed to help enterprises cope with the operational risk caused by air pollution. First, the expanded Ornstein–Uhlenbeck model is established using an autoregressive-generalized autoregressive conditional heteroscedasticity (AR-GARCH) method to predict AQI for a city. Next, the average AQI is constructed to be as the underlying index for the AQI options. We then priced AQI options using an actuarial method with an Esscher transform. Meanwhile payoff functions for the options are established to let enterprises hedge against the operational risk caused by air pollution. Finally, we determined the price of AQI options using data from Xi’an, China, and the example of a tourism enterprise as a case study of how AQI options can be applied to hedge against operational risk for enterprises. With AQI options trading, enterprises can hedge against operational risks caused by air pollution. The applicability of AQI options is wide, it can also be applied in other cities or regions.
Highlights
IntroductionPollution is becoming an increasingly serious problem, especially in developing countries
Pollution is becoming an increasingly serious problem, especially in developing countries.The prevention and control of air pollution has become one of the most important issues faced by countries around the world
To make the underlying index of air quality index (AQI) options more realistic, we developed average air quality index (AAQI), and we priced AQI options using the actuarial method with an Esscher transform
Summary
Pollution is becoming an increasingly serious problem, especially in developing countries. The prevention and control of air pollution has become one of the most important issues faced by countries around the world. Air quality affects our health and daily life, while on the other hand, it profoundly affects economic production activities. Days with high levels of air pollution will damage the human respiratory system and increase the incidence of cardiovascular diseases [1]. Air pollution can decrease well-being, since it forces us to
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