This paper proposes and makes a study of a new model(called the 3/2 plus jumps model) for VIX option pricing. The model allows the mean-reversion speed and volatility of volatility to be highly sensitive to the actual...This paper proposes and makes a study of a new model(called the 3/2 plus jumps model) for VIX option pricing. The model allows the mean-reversion speed and volatility of volatility to be highly sensitive to the actual level of VIX. In particular, the positive volatility skew is addressed by the 3/2 plus jumps model. Daily calibration is used to prove that the proposed model preserves its validity and reliability for both in-sample and out-of-sample tests.The results show that the models are capable of fitting the market price while generating positive volatility skew.展开更多
This paper performs several empirical exercises to provide evidence that the stochas-tic skew behavior and asymmetric jumps exist in VIX markets.In order to adequately capture all of the features,we develop a general ...This paper performs several empirical exercises to provide evidence that the stochas-tic skew behavior and asymmetric jumps exist in VIX markets.In order to adequately capture all of the features,we develop a general valuation model and obtain quasi-analytical solutions for pricing VIX options.In addition,we make comparative studies of alternative models to illustrate the e ects after taking into account these features on the valuation of VIX options and investigate the relative value of an additional volatility factor and jump components.The empirical results indicate that the multi-factor volatility structure is vital to VIX option pricing due to providing more exibility in the modeling of VIX dynamics,and the need for asymmetric jumps cannot be eliminated by an additional volatility factor.展开更多
This study demonstrates how the volatility index （VIX） can help predict the returns for sequential trading days. Using a logit function and previous VIX information, we present an initial attempt to estimate the pro...This study demonstrates how the volatility index （VIX） can help predict the returns for sequential trading days. Using a logit function and previous VIX information, we present an initial attempt to estimate the probability of a positive market return. The estimation procedure is applied to recent data on the S＆P500 and to the 10-year U.S. Treasury Bonds yields. Our findings indicate that such a relationship does exist and is significant, especially for the bond market. We also ran an investment simulation using different VIX scores and found that from 2004 to June 2009, VIX=18 was the score that yielded the highest.展开更多
基金Supported by the National Natural Science Foundation of China(71371168,11571310)
文摘This paper proposes and makes a study of a new model(called the 3/2 plus jumps model) for VIX option pricing. The model allows the mean-reversion speed and volatility of volatility to be highly sensitive to the actual level of VIX. In particular, the positive volatility skew is addressed by the 3/2 plus jumps model. Daily calibration is used to prove that the proposed model preserves its validity and reliability for both in-sample and out-of-sample tests.The results show that the models are capable of fitting the market price while generating positive volatility skew.
基金the National Natural Science Foundation of China(11571310,71371168).
文摘This paper performs several empirical exercises to provide evidence that the stochas-tic skew behavior and asymmetric jumps exist in VIX markets.In order to adequately capture all of the features,we develop a general valuation model and obtain quasi-analytical solutions for pricing VIX options.In addition,we make comparative studies of alternative models to illustrate the e ects after taking into account these features on the valuation of VIX options and investigate the relative value of an additional volatility factor and jump components.The empirical results indicate that the multi-factor volatility structure is vital to VIX option pricing due to providing more exibility in the modeling of VIX dynamics,and the need for asymmetric jumps cannot be eliminated by an additional volatility factor.
文摘This study demonstrates how the volatility index （VIX） can help predict the returns for sequential trading days. Using a logit function and previous VIX information, we present an initial attempt to estimate the probability of a positive market return. The estimation procedure is applied to recent data on the S＆P500 and to the 10-year U.S. Treasury Bonds yields. Our findings indicate that such a relationship does exist and is significant, especially for the bond market. We also ran an investment simulation using different VIX scores and found that from 2004 to June 2009, VIX=18 was the score that yielded the highest.
