Residential College | false |
Status | 已發表Published |
Evaluating the hedging error in price processes with jumps present | |
Jing,Bing Yi1; Kong,Xin Bing2; Liu,Zhi3; Zhang,Bo4 | |
2013 | |
Source Publication | Statistics and its Interface |
ISSN | 1938-7989 |
Volume | 6Issue:4Pages:413-425 |
Abstract | In this draft, we consider a hedging strategy concerning only the continuous parts of two asset price processes which have jumps. Two consistent estimators of the hedging strategy, ρ̂ and ρ̃, are presented in terms of realized bipower variation and threshold quadratic variation, respectively. Based on ρ̂, estimators for operational risk, market risk (risk due to jumps) and total risk are investigated. It turns out that the variance of ρ̂ enters into the bias of the operational risk estimator, whereas the variance is mainly due to jump influenced bipower estimation error. The convergence rate of the operational risk estimator (properly centralized) is O ((δt)̄. The convergence rate of the market risk is however O ((δt)̄. Based on ρ̃, the total risk is also studied, and it has the same convergence rate as that based on ρ̂. Besides the interest in financial econometrics, it is also of significance in a statistical sense when we are interested in estimating the quadratic variation of the corresponding unhedgeable residual process. |
Keyword | Hedging Strategy Jump Diffusion Quadratic Variation Realized Bipower Variation Thresholdvariation Variation Of Time Volatility |
DOI | 10.4310/SII.2013.v6.n4.a1 |
URL | View the original |
Language | 英語English |
WOS ID | WOS:000330487100001 |
Scopus ID | 2-s2.0-84893426245 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | University of Macau |
Affiliation | 1.Department of Mathematics,Hong Kong Univ. of Science and Technology,Clear Water Bay,Kowloon,Hong Kong 2.Department of Statistics,School of Management,Fudan University,Guoshun Road,Shanghai,China 3.Department of Mathematics,Faculty of Science and Technology,University of Macau,Macao 4.School of Statistics,Renmin University of China,#59 Zhongguancun Street,Beijing 100872,China |
Recommended Citation GB/T 7714 | Jing,Bing Yi,Kong,Xin Bing,Liu,Zhi,et al. Evaluating the hedging error in price processes with jumps present[J]. Statistics and its Interface, 2013, 6(4), 413-425. |
APA | Jing,Bing Yi., Kong,Xin Bing., Liu,Zhi., & Zhang,Bo (2013). Evaluating the hedging error in price processes with jumps present. Statistics and its Interface, 6(4), 413-425. |
MLA | Jing,Bing Yi,et al."Evaluating the hedging error in price processes with jumps present".Statistics and its Interface 6.4(2013):413-425. |
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