We focus on the asymptotic convergence behavior of the hedging errors of European stock option due to discrete hedging under stochastic interest rates. There are two kinds of BS-type discrete hedging differ in hedging...We focus on the asymptotic convergence behavior of the hedging errors of European stock option due to discrete hedging under stochastic interest rates. There are two kinds of BS-type discrete hedging differ in hedging instruments: one is the portfolio of underlying stock, zero coupon bond, and the money market account (Strategy BSI); the other is the underlying stock, zero coupon bond (Strategy BSII). Similar to the results of the deterministic interest rate case, we show that convergence speed of the discounted hedging errors is 1/2-order of trading frequency for both strategies. Then, we prove each of the BS-type strategy is not only locally optimal, but also globally optimal under the corresponding measure. Finally, we give some numerical examples to illustrate the results. All the discussion is based on non-arbitrage condition and zero transaction cost.展开更多
The data of warrants underlying stocks was selected for the sample period from August,2005 to December,2009.These data the authors collected did not include the announcement date of reform of non-tradable underlying s...The data of warrants underlying stocks was selected for the sample period from August,2005 to December,2009.These data the authors collected did not include the announcement date of reform of non-tradable underlying shares,and was available from Shanghai and Shenzhen stock exchanges.The event study method is employed to test the magnitude effect based on the Wild bootstrap,which is performed on the abnormal return,the cumulative abnormal return,and the standardized cumulative abnormal return.Empirical results show no evidence of magnitude effect but sign effect after warrants introduction.The authors argue that this phenomenon is caused by the migration of radical agents from stock market to warrant market.展开更多
基金supported by National Basic Research Program of China (Grant No.2007CB814905)
文摘We focus on the asymptotic convergence behavior of the hedging errors of European stock option due to discrete hedging under stochastic interest rates. There are two kinds of BS-type discrete hedging differ in hedging instruments: one is the portfolio of underlying stock, zero coupon bond, and the money market account (Strategy BSI); the other is the underlying stock, zero coupon bond (Strategy BSII). Similar to the results of the deterministic interest rate case, we show that convergence speed of the discounted hedging errors is 1/2-order of trading frequency for both strategies. Then, we prove each of the BS-type strategy is not only locally optimal, but also globally optimal under the corresponding measure. Finally, we give some numerical examples to illustrate the results. All the discussion is based on non-arbitrage condition and zero transaction cost.
基金supported by the National Nature Science Foundation of China under Grant No.71101001the National Nature Science Foundation of Chinathe Research Grants Council of Hong Kong under Grant No.70731160635
文摘The data of warrants underlying stocks was selected for the sample period from August,2005 to December,2009.These data the authors collected did not include the announcement date of reform of non-tradable underlying shares,and was available from Shanghai and Shenzhen stock exchanges.The event study method is employed to test the magnitude effect based on the Wild bootstrap,which is performed on the abnormal return,the cumulative abnormal return,and the standardized cumulative abnormal return.Empirical results show no evidence of magnitude effect but sign effect after warrants introduction.The authors argue that this phenomenon is caused by the migration of radical agents from stock market to warrant market.
