This paper focuses on the extraction of volatility of financial returns. The volatility process is modeled as a … the volatility is not observable, the logarithm of the daily high-low range is employed as its proxy. The estimation of … parameters and volatility extraction are performed using a modified version of the Kalman filter which takes into account the …

-variance analysis of alternative investments has been hampered by the lack of a systematic treatment of volatility in these markets … underlying volatility. For example, in art markets, auction houses often give price guarantees to the seller that resemble put … the price index, allowing to treat the volatility parameter as the object of interest. The model can be estimated using …

A nonlinear Black-Scholes equation which models transaction costs arising in the hedging of portfolios is discretized …

Taking a portfolio perspective on option pricing and hedging, we show that within the standard Black …) hedging the total risk of each option separately, the correct hedge portfolio in discrete time eliminates linear (delta) as … indefinitely. This ties the literature on option pricing and hedging closer together with the APT literature in its focus on …

in discrete time. Therefore, the hedging bias which originates from the effects of time-discretising strategies is … analysed. It turns out that a systematic hedging bias can only be avoided if a discrete-time hedging model is used. It is shown … how the robustness property for convex payoffs is recovered while at the same time the hedging bias is avoided. …

Nonparametric methods for estimating the implied volatility surface or the implied volatility smile are very popular …. The first step requires to extract implied volatility data from observed option prices, in the second step the actual … and less tractable. In this study, we propose a one-step estimator for the implied volatility surface based on a least …

volatility. Hence, they are viable alternatives to the geometric Brownian motion. …

volatility process spends longer time in regime 2 than it stays in regime 1. The predicted call option prices from both models …

methods. The effects of several model characteristics(unit roots, GARCH, stochastic volatility, heavy tailed … disturbancedensities) are investigated in relation to the hedging decision strategies.Consequently, we can make a distinction between …