Derivative Asset Pricing with Transaction Costs: An Extension

被引:12
作者
Perrakis S. [1 ]
Lefoll J. [2 ]
机构
[1] Faculty of Administration, University of Ottawa
[2] HEC, Université de Genève
关键词
Derivatives; Hedging; Options; Replication; Transaction costs;
D O I
10.1023/A:1008693830990
中图分类号
学科分类号
摘要
This paper examines the optimal perfect hedging (super-replication) of an option by a cash-plus-riskless asset portfolio within the context of the binomial model. The cases discussed here were not covered by the earlier studies of Boyle and Vorst (1992) and Bensaid, Lesne, Pagés and Scheinkman (1992). It is argued that these cases are empirically important, and that there is some indication that they are encountered very often in practice in the Swiss options market. A new algorithm is developed to compute the option price lower bound (bid price) for such cases. It is then shown that, for most such cases, the portfolio hedging the short call when replication is not optimal coincides with the Merton (1973) lower bound.
引用
收藏
页码:359 / 376
页数:17
相关论文
共 11 条
[1]  
Bensaid B., Lesne J.P., Pages H., Scheinkman J., Derivative Asset Pricing with Transaction Cost, Mathematical Finance, 2, 2, pp. 63-86, (1992)
[2]  
Boyle P.P., Vorst T., Option Replication in Discrete Time with Transactions Costs, Journal of Finance, 47, 1, pp. 271-293, (1992)
[3]  
Davis M.H.A., Panas V.G., Zariphopoulou T., European Option Pricing with Transaction Costs, SIAM J. Control and Optimization, 31, 2, pp. 470-493, (1993)
[4]  
Dumas B., Luciano E., An Exact Solution to a Dynamic Portfolio Choice Problem under Transactions Costs, Journal of Finance, 46, pp. 577-595, (1991)
[5]  
Edirisinghe C., Naik V., Uppal R., Optimal Replication of Options with Transactions Costs and Trading Restrictions, Journal of Financial and Quantitative Analysis, 28, pp. 127-138, (1993)
[6]  
Lefoll J., Perrakis S., Transactions Costs and Option Bid/Ask Spread on the Swiss Options and Financial Futures Exchange (SOFFEX), Canadian Journal of Administrative Sciences, 12, 4, pp. 276-289, (1995)
[7]  
Merton R.C., Theory of Rational Option Pricing, Bell Journal of Economics and Management Science, 4, pp. 141-183, (1973)
[8]  
Merton R.C., On the Application of the Continuous-Time Theory of Finance to Financial Intermediation and Insurance, The Geneva Papers on Risk and Insurance, 14, pp. 225-261, (1989)
[9]  
Rubinstein M., Implied Binomial Trees, Journal of Finance, 49, 3, pp. 771-818, (1994)
[10]  
Shen Q., Bid-ask Prices for Call Options with Transactions Costs Part I: Discrete Time Case, (1990)