Author: Ola BackmanPublisher:
ISBN:
Category :
Languages : en
Pages : 58
Book Description
Analysis and Evaluation of Hedging Strategies in the Presence of Transaction Costs
Author: Ola BackmanOption Pricing and Hedging in the Presence of Transaction Costs and Nonlinear Partial Differential Equations
Author: Valeriy ZakamulinPublisher:
ISBN:
Category :
Languages : en
Pages : 45
Book Description
In the presence of transaction costs the perfect option replication is impossible which invalidates the celebrated Black and Scholes (1973) model. In this chapter we consider some approaches to option pricing and hedging in the presence of transaction costs. The distinguishing feature of all these approaches is that the solution for the option price and hedging strategy is given by a nonlinear partial differential equation (PDE). We start with a review of the Leland (1985) approach which yields a nonlinear parabolic PDE for the option price, one of the first such in finance. Since the Leland's approach to option pricing has been criticized on different grounds, we present a justification of this approach and show how the performance of the Leland's hedging strategy can be improved. We extend the Leland's approach to cover the pricing and hedging of options on commodity futures contracts, as well as path-dependent and basket options. We also present examples of finite-difference schemes to solve some nonlinear PDEs. Then we proceed to the review of the most successful approach to option hedging with transaction costs, the utility-based approach pioneered by Hodges and Neuberger (1989). Judging against the best possible tradeoff between the risk and the costs of a hedging strategy, this approach seems to achieve excellent empirical performance. The asymptotic analysis of the option pricing and hedging in this approach reveals that the solution is also given by a nonlinear PDE. However, this approach has one major drawback that prevents the broad application of this approach in practice, namely, the lack of a closed-form solution. The numerical computations are cumbersome to implement and the calculations of the optimal hedging strategy are time consuming. Using the results of asymptotic analysis we suggest a simplified parameterized functional form of the optimal hedging strategy for either a single option or a portfolio of options and a method for finding the optimal parameters.
The Best Hedging Strategy in the Presence of Transaction Costs
Author: Valeriy ZakamulinPublisher:
ISBN:
Category :
Languages : en
Pages : 27
Book Description
Considerable theoretical work has been devoted to the problem of option pricing and hedging with transaction costs. A variety of methods have been suggested and are currently being used for dynamic hedging of options in the presence of transaction costs. However, very little was done on the subject of an empirical comparison of different methods for option hedging with transaction costs. In a few existing studies the different methods are compared by studying their empirical performances in hedging only a plain-vanilla short call option. The reader is tempted to assume that the ranking of the different methods for hedging any kind of option remains the same as that for a vanilla call. The main goal of this paper is to show that the ranking of the alternative hedging strategies depends crucially on the type of the option position being hedged and the risk preferences of the hedger. In addition, we present and implement a simple optimization method that, in some cases, improves considerably the performance of some hedging strategies.
An Analysis of Hedging Error in the Presence of Transaction Costs
Author: Valeria MeregalliPublisher:
ISBN:
Category : Markets
Languages : en
Pages : 176
Book Description
Feedback Effects of Dynamic Hedging Strategies in the Presence of Transaction Costs
Author: Elettra AgliardiOptimal Hedging Strategies for Multi-periodGuarantees in the Presence of Transaction Costs:A Stochastic Programming Approach
Author: Stein-Erik FletenOptimal Hedging Strategies for Multi-Period Guarantees in the Presence of Transaction Costs
Author: Stein-Erik FletenPublisher:
ISBN:
Category :
Languages : en
Pages : 17
Book Description
Multi-period guarantees are often embedded in life insurance contracts. In this paper we consider the problem of hedging these multi-period guarantees in the presence of transaction costs. We derive the hedging strategies for the cheapest hedge portfolio for a multi-period guarantee that with certainty makes the insurance company able to meet the obligations from the insurance policies it has issued. We find that by imposing transaction costs, the insurance company reduces the rebalancing of the hedge portfolio. The cost of establishing the hedge portfolio also increases as the transaction cost increases. For the multi-period guarantee there is a rather large rebalancing of the hedge portfolio as we go from one period to the next. By introducing transaction costs we find the size of this rebalancing to be reduced. Transaction costs may therefore be one possible explanation for why we do not see the insurance companies performing a large rebalancing of their investment portfolio at the end of each year.
Hedging Strategies of Financial Intermediaries
Author: Shmuel HauserPublisher:
ISBN:
Category :
Languages : en
Pages : 14
Book Description
This paper uses a model similar to the Boyle-Vorst and Ritchken-Kuo arbitrage-free models for the valuation of options with transaction costs to determine the maximum price to be charged by the financial intermediary writing an option in a non-auction market. Earlier models are extended by recognizing that, in the presence of transaction costs, the price-taking intermediary constructing a hedging portfolio faces a tradeoff: to choose a short trading interval with small hedging errors and high transaction costs, or a long trading interval with large hedging errors and low transaction costs. The model presented recognizes that when transaction costs induce less frequent portfolio adjustments, investors are faced with a multinomial distribution of asset returns rather than a binomial one. The price upper bound is determined by selecting the trading frequency that will equalize the marginal benefit from decreasing hedging errors and the marginal cost of transactions.
Optimal Partial Hedging of Options with Small Transaction Costs
Author: A. Elizabeth WhalleyPublisher:
ISBN:
Category :
Languages : en
Pages : 49
Book Description
This paper uses asymptotic analysis to derive optimal hedging strategies for option portfolios hedged using an imperfectly correlated hedging asset with small fixed and/or proportional transaction costs, obtaining explicit formulae in special cases. This is of use when it is impractical to hedge using the underlying asset itself. The hedging strategy holds a position in the hedging asset whose value lies between two bounds, which are independent of the hedging asset's current value. For low absolute correlation between hedging and hedged assets, highly risk-averse investors and large portfolios, hedging strategies and option values differ significantly from their perfect market equivalents.
Market Timing with Moving Averages
Author: Valeriy ZakamulinPublisher: Springer
ISBN: 331960970X
Category : Business & Economics
Languages : en
Pages : 300
Book Description
This book provides a comprehensive guide to market timing using moving averages. Part I explores the foundations of market timing rules, presenting a methodology for examining how the value of a trading indicator is computed. Using this methodology the author then applies the computation of trading indicators to a variety of market timing rules to analyse the commonalities and differences between the rules. Part II goes on to present a comprehensive analysis of the empirical performance of trading rules based on moving averages.