Hurricane Derivatives: Valuation in a Warming Environment

颶風衍生性金融商品：暖化環境中的訂價

10.6545/JFS.2012.20(2).1

Carolyn W. Chang；Jack S. K. Chang

全球暖化 ； 颶風期貨和期貨選擇權 ； 毀滅性力量 ； 隨機抵達密度 ； 選擇權訂價 ； 三重二項樹 ； Global warming ； hurricane futures and futures options ； destructive power ； stochastic arrival intensity ； option pricing ； triply-binomial tree

財務金融學刊

20卷2期（2012 / 06 / 30）

1 - 17

英文

全球暖化造成大部分熱帶海洋的表面溫度升高，導致極端強烈颶風和颱風的數量增加。自從颶風卡崔娜（Hurricane Katrina）之後，新的颶風衍生性金融商品應運而生，以利保險公司和相關團體降低氣候異常造成的風險暴露。我們從Gerber（1984, 1988）的雙重二項式架構加入第三個二項式過程而延伸發展出三重二項式的創新訂價模型，以納入隨機來臨的颶風。接著，我們模擬全球暖化伴隨強烈颶風數量增加的情況，將如何突顯這類衍生性商品在避險功能上的價值。

Global warming has caused the surface of most tropical oceans to warm up, inducing an increasing number of deadly hurricanes and typhoons. Since Hurricane Katrina, new hurricane derivative contracts have been introduced for insurers and related parties to mitigate their climate risk exposures. We develop a novel triply-binomial valuation model as an extension of Gerber's (1984, 1988) doubly-binomial framework with a third binomial process to subsume stochastic hurricane arrivals. We subsequently simulate how global warming with an increasing number of deadly tropical cyclones has made these derivative contracts more valuable in performing their hedging function.

1. Ané, Thierry,Geman, Hélyette(2000).Order flow, transaction clock, and normality of asset returns.Journal of Finance,55,2259-2284.
2. Black, Fischer(1976).The pricing of commodity contracts.Journal of Financial Economics,3(1-2),167-179.
3. Chang, Carolyn W.,Chang, Jack S.K.,Lu, WeLi(2010).Pricing catastrophe options with stochastic claim arrival intensity in claim time.Journal of Banking & Finance,34,24-32.
4. Chang, Chia-Chien,Lin, Shih-Kuei,Yu, Min-The(2010).Valuation of catastrophe equity puts with Markov-modulated Poisson processes.The Journal of Risk and Insurance
5. Cox, John C.,Ross, Stephen A.,Rubinstein, Mark(1979).Option pricing: A simplified approach.Journal of Financial Economics,7(3),229-263.
6. Elsner, James B.,Kossin, James P.,Jagger, Thomas H.(2008).The increasing intensity of the strongest tropical cyclones.Nature,455,92-94.
7. Emanuel, Kerry(2005).Increasing destructiveness of tropical cyclones over the past 30 years.Nature,436,686-688.
8. Esteban, Miguel,Webersik, Christian,Shibayama, Tomoya(2009).Effect of a global warming-induced increase in typhoon intensity on urban productivity in Taiwan.Sustainable Science,4(2),151-163.
9. Geman, Hélyette(2005).From measure changes to time changes in asset pricing.Journal of Banking & Finance,29,2701-2722.
10. Gerber, Hans U.(1984).Error bounds for the compound Poisson approximation.Insurance: Mathematics and Economics,3(3),191-194.
11. Gerber, Hans U.(1988).Mathematical fun with the compound binomial process.ASTIN Bulletin,18,161-168.
12. Hallegatte, Stéphane(2007).The Use of synthetic hurricane tracks in risk analysis and climate change assessment.Journal of Applied Meteorological Climatology,46,1956-1966.
13. Knutson, Thomas R.,Tuleya, Robert E.(2004).Impact of CO2-induced warming on simulated hurricane intensity and precipitation: Sensitivity of the choice of climate control and convective parameterization.Journal of Climate,17,3477-3495.
14. Levi, Charles,Partrat, Christian(1991).Statistical analysis of natural events in the United States.ASTIN Bulletin,21,253-276.
15. Webster, Peter J.,Holland, Greg J.,Curry, Judith A.,Chang, Hai-Ru(2005).Changes in tropical cyclone number, duration, and intensity in a warming environment.Science,309,1844-1846.
16. Wu, Yang-Che,Chung, San-Lin(2010).Catastrophe risk management with counterparty risk using alternative instruments.Insurance: Mathematics and Economics

1. 魏慧珊、歐仁和、黃志偉、張傳章(2016)。臺灣財務領域研究之回顧與展望。管理學報，33(1)，105-137。
2. 葉仕國、張森林、林丙輝(2016)。台灣衍生性金融商品定價、避險與套利文獻回顧與展望。臺大管理論叢，27(1)，255-304。