Exotic options, or “path-dependent” options are options whose payoff depends on the behavior of the price of the underlying between 0 and the maturity, rather than merely on the final price of the underlying, such a...Exotic options, or “path-dependent” options are options whose payoff depends on the behavior of the price of the underlying between 0 and the maturity, rather than merely on the final price of the underlying, such as compound options, reset options and so on. In this paper, a generalization of the Geske formula for compound call options is obtained in the case of time-dependent volatility and time-dependent interest rate by applying martingale methods and the change of numeraire or the change of probability measure. An analytic formula for the reset call options with predetermined dates is also derived in the case by using the same approach. In contrast to partial differential equation (PDE) approach, our approach is simpler.展开更多
In recent years, the real estate price has been raising with the volume of foreign money inflow increasing. The relationship between foreign money and real estate price becomes a focus. This paper studies the relation...In recent years, the real estate price has been raising with the volume of foreign money inflow increasing. The relationship between foreign money and real estate price becomes a focus. This paper studies the relationship with empirical methods. The co-integration test shows that there is a long equilibrium between real estate price rising and foreign money inflow. The analysis of ECM shows that foreign money inflow as to real estate price rising is less important than real estate price rising as to foreign money inflow. And Granger test also shows that foreign money inflow is not the cause of real estate price rising, on the contrary, real estate price rising causes foreign money flowing in.展开更多
This paper considered the problem of hedging a European call (put) option for a diffusion model where the asset price is influenced by n uncertain factors. The market is thus incomplete implying that perfect hedging i...This paper considered the problem of hedging a European call (put) option for a diffusion model where the asset price is influenced by n uncertain factors. The market is thus incomplete implying that perfect hedging is not possible. To derive a hedging strategy, it follows the approach based on the idea of hedging under a mean-variance criterion suggested by Schweizer. A very simple solution of this hedging problem by using the numeraire method was presented and some examples with explicit solutions were given.展开更多
基金Project (No. Y604137) supported by the Natural Science Foundationof Zhejiang Province, China
文摘Exotic options, or “path-dependent” options are options whose payoff depends on the behavior of the price of the underlying between 0 and the maturity, rather than merely on the final price of the underlying, such as compound options, reset options and so on. In this paper, a generalization of the Geske formula for compound call options is obtained in the case of time-dependent volatility and time-dependent interest rate by applying martingale methods and the change of numeraire or the change of probability measure. An analytic formula for the reset call options with predetermined dates is also derived in the case by using the same approach. In contrast to partial differential equation (PDE) approach, our approach is simpler.
文摘In recent years, the real estate price has been raising with the volume of foreign money inflow increasing. The relationship between foreign money and real estate price becomes a focus. This paper studies the relationship with empirical methods. The co-integration test shows that there is a long equilibrium between real estate price rising and foreign money inflow. The analysis of ECM shows that foreign money inflow as to real estate price rising is less important than real estate price rising as to foreign money inflow. And Granger test also shows that foreign money inflow is not the cause of real estate price rising, on the contrary, real estate price rising causes foreign money flowing in.
基金National Natural Science Foundation ofChina( 10 1710 66) and Shanghai Key Project( 0 2 DJ14 0 63 )
文摘This paper considered the problem of hedging a European call (put) option for a diffusion model where the asset price is influenced by n uncertain factors. The market is thus incomplete implying that perfect hedging is not possible. To derive a hedging strategy, it follows the approach based on the idea of hedging under a mean-variance criterion suggested by Schweizer. A very simple solution of this hedging problem by using the numeraire method was presented and some examples with explicit solutions were given.