The tracking error rate of the Delta-Gamma hedging strategy
نویسندگان
چکیده
We analyse the convergence rate of the quadratic tracking error, when a Delta-Gamma hedging strategy is used at N discrete times. The fractional regularity of the payoff function plays a crucial role in the choice of the trading dates, in order to achieve optimal rates of convergence.
منابع مشابه
Delta-gamma-theta Hedging of Crude Oil Asian Options
HRUŠKA JURAJ. 2015. Delta-gamma-theta Hedging of Crude Oil Asian Options. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 63(6): 1897–1903. Since Black-Scholes formula was derived, many methods have been suggested for vanilla as well as exotic options pricing. More of investing and hedging strategies have been developed based on these pricing models. Goal of this paper i...
متن کاملOn Leland’s Option Hedging Strategy with Transaction Costs
Nonzero transaction costs invalidate the Black-Scholes (1973) arbitrage argument based on continuous trading. Leland (1985) developed a hedging strategy which modifies the Black-Scholes hedging strategy with a volatility adjusted by the length of the rebalance interval and the rate of the proportional transaction cost. Leland claimed that the exact hedge could be achieved in the limit as the le...
متن کاملQuadratic Hedging for Contingent Claims with Delta Constraint
ABSTRACT In this paper, under constraint of delta-strategy and by importing another related risky asset to compose a hedging portfolio comprising the underlying asset and riskless asset(the Bond). Firstly, we excellently devise a dynamic hedging program for contingent claims; and then, according to Principle of Dynamic Programming and by taking advantage of backward recursion technique, at each...
متن کاملOn the Effect of Skewness and Kurtosis Misspecification on the Hedging Error
Using a result in Angelini and Herzel (2009a), we measure, in terms of variance, the cost of hedging a contingent claim when the hedging portfolio is re-balanced at a discrete set of dates. We analyze the dependence of the variance of the hedging error on the skewness and kurtosis as modeled by a Normal Inverse Gaussian model. We consider two types of strategies, the standard Black-Scholes Delt...
متن کاملOptimal partial hedging of options with small transaction costs
We use asymptotic analysis to derive the optimal hedging strategy for an option portfolio hedged using an imperfectly correlated hedging asset with small transaction costs, both fixed per trade and proportional to the value traded. In special cases we opbtain explicit formulae. The hedging strategy involves holding a position in the hedging asset whose value lies between two bounds, which are i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009