Hedging Under an Expected Loss Constraint with Small Transaction Costs
نویسندگان
چکیده
We consider the problem of option hedging in a market with proportional transaction costs. Since super-replication is very costly in such markets, we replace perfect hedging with an expected loss constraint. Asymptotic analysis for small transaction costs is used to obtain a tractable model. A general expansion theory is developed using the dynamic programming approach. Explicit formulae are obtained in the special cases of exponential and power utility functions. As a corollary, we retrieve the asymptotics for the exponential utility indifference price.
منابع مشابه
An Option to Reduce Transaction Costs
Under the assumptions of the market of Black and Scholes, options are redundant since, through the classic Black-Scholes delta hedging argument, they can be replaced by an equivalent combination the risky asset underlying the option and a risk free asset. We show that options are not redundant when small proportional transaction costs of size ε are added to the model, which provides mathematica...
متن کاملQuantile hedging on equity-linked life insurance contracts with transaction costs
This paper analyzes the application of quantile hedging on equity-linked life insurance contracts in the presence of transaction costs. Following the time-based replication strategy, we present the explicit expressions for the present values of expected hedging errors and transaction costs. The results are derived by using the adjusted hedging volatility σ̄ proposed by Leland. Furthermore, the e...
متن کاملHedging Basket Options by Using a Subset of Underlying Assets
The purpose of this paper is to investigate the use of Principal Component Analysis in finding the efficient subset of underlying assets for hedging European basket options. This asset selection technique can be used together with other hedging strategies to enhance the hedging performance. Meanwhile, it become practical and essential when some of the underlying assets are illiquid or even not ...
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 کاملHedging Options under Transaction Costs and Stochastic Volatility
In this paper we consider the problem of hedging contingent claims on a stock under transaction costs and stochastic volatility. Extensive research has clearly demonstrated that the volatility of most stocks is not constant over time. As small changes of the volatility can have a major impact on the value of contingent claims, hedging strategies should try to eliminate this volatility risk. We ...
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:
- SIAM J. Financial Math.
دوره 7 شماره
صفحات -
تاریخ انتشار 2016