Graduate School of Economics, University of Tokyo
Mizuho-DL Financial Technology Co., Ltd.
抄録
This paper proposes a new hedging scheme of European derivatives under uncertain volatility environments, in which a weighted variance swap called the polynomial variance swap is added to the Black-Scholes delta hedging for managing exposure to volatility risk. In general, under these environments one cannot hedge the derivatives completely by using dynamic trading of only an underlying asset owing to volatility risk. Then, for hedging uncertain volatility risk, we design the polynomial variance, which can be dependent on the level of the underlying asset price. It is shown that the polynomial variance swap is not perfect, but more efficient as a hedging tool for the volatility exposure than the standard variance swap. In addition, our hedging scheme has a preferable property that any information on the volatility process of the underlying asset price is unnecessary. To demonstrate robustness of our scheme, we implement Monte Carlo simulation tests with three different settings, and compare the hedging performance of our scheme with that of standard dynamic hedging schemes such as the minimum-variance hedging. As a result, it is found that our scheme outperforms the others in all test cases. Moreover, it is noteworthy that the scheme proposed in this paper continues to be robust against model risks.
内容記述
Revised version of CIRJE-F-653 (2009); forthcoming in International Journal of Theoretical and Applied Finance, pp. 485-505, Volume: 14, Issue: 4, June 2011.
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雑誌名
Discussion paper series. CIRJE-F
巻
CIRJE-F-777
発行年
2010-12
書誌レコードID
AA11450569
フォーマット
application/pdf
日本十進分類法
335
出版者
日本経済国際共同センター
出版者別名
Center for International Research on the Japanese Economy
Hedging European Derivatives with the Polynomial Variance Swap under Uncertain Volatility Environments
