In this paper, the optimal replacement problem is investigated for a system with two types of failures. One type of failure is repairable, which is conducted by a repairman when it occurs, and the other is unrepairable, which leads to a replacement of the system at once. The repair of the system...

Existing studies on the informational content of at-the-money implied volatility (ATMIV) and past realized volatility (PRV) and the relation between the two have mainly focused on a single short forecast horizon and conclude that ATMIV outperforms PRV. We examine the relation between implied and...

In this paper we used a refined approach to estimating the implied volatility from options price in the classic framework developed by Black and Scholes (1973) and Merton (1973). Our study extend the formula previously developed by Corrado and Miller (1996) which works well for the Index options...

In this paper, the reliability and replacement policy of a k/n(F) (i.e. k-out-of-n: F) system with repairable repair-equipment is analyzed. We assume thatboth the working and repair times of all components in the system and therepair-equipment follow exponential distributions, and the repairs on...