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Optimal Replication of Options with Transactions Costs and Trading Restrictions

Published online by Cambridge University Press:  06 April 2009

Chanaka Edirisinghe ,
Vasanttilak Naik  and
Raman Uppal
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Abstract

This paper analyzes the strategy that minimizes the initial cost of replicating a contingent claim in a market with transactions costs and trading constraints. The linear programming and two-stage backward recursive models developed are applicable to the replication of convex as well as nonconvex payoffs and to a portfolio of options with different maturities. The paper's formulation conveniently accounts for fixed and variable transactions costs, lot size constraints, and position limits on trading. The article shows that in the presence of trading frictions, it is no longer optimal to revise one's portfolio in each period. At the optimum, cash flows in excess of the desired ones may be generated. The optimal policy trades off the curvature of the payoff that is generated against the terminal slack.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 28 , Issue 1 , March 1993 , pp. 117 - 138
Copyright
Copyright © School of Business Administration, University of Washington 1993

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References

Amihud, Y., and Mendelson, H.. “Liquidity and Asset Prices: Financial Management Implications.” Financial Management, (Spring 1988), 5–15.CrossRefGoogle Scholar
Bensaid, B.; Lesne, J.; Pages, H.; and Scheinkman, J.. “Derivative Asset Pricing with Transaction Costs.” Mathematical Finance, 2 (1992), 63–86.CrossRefGoogle Scholar
Black, F., and Scholes, M.. “The Pricing of Options and Corporate Liabilities.” Journal of Political Economy, 81 (05–06 1973), 637–654.CrossRefGoogle Scholar
Boyle, P., and Vorst, T.. “Option Pricing in Discrete Time with Transaction Costs.” Journal of Finance, 47 (03 1992), 271–293.CrossRefGoogle Scholar
Constantinides, G. “Capital Market Equilibrium with Transactions Costs.” Journal of Political Economy, 94 (08 1986), 842–862.CrossRefGoogle Scholar
Cox, J.C.; Ross, S.; and Rubinstein, M.. “Option Pricing: A Simplified Approach.” Journal of Financial Economics, 7 (09 1979), 229–263.CrossRefGoogle Scholar
Davis, M., and Norman, A.. “Portfolio Selection with Transactions Costs.” Mathematics of Operations Research, 15 (11 1990), 676–713.CrossRefGoogle Scholar
Dumas, B., and Luciano, E.. “An Exact Solution to a Dynamic Portfolio Choice Problem under Transactions Costs.” Journal of Finance, 46 (06 1991), 577–595.CrossRefGoogle Scholar
Figlewski, S. “Options Arbitrage in Imperfect Markets.” Journal of Finance, 44 (12 1989), 1289–1311.CrossRefGoogle Scholar
Gennotte, G., and Jung, A.. “Investment Strategies under Transactions Costs: The Finite Horizon Case.” Management Science (forthcoming).Google Scholar
Grossman, S., and Laroque, G.. “Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods.” Econometrica, 58 (01 1990), 25–51CrossRefGoogle Scholar
Hasbrouck, J., and Schwartz, R.. “Liquidity and Execution Costs in Equity Markets.” Journal of Portfolio Management, (Spring 1988), 10–16.CrossRefGoogle Scholar
Hodges, S., and Neuberger, A.. “Optimal Replication of Contingent Claims under Transactions Costs.” Review of Futures Markets, 8 (1989), 222–239.Google Scholar
Leland, H. E. “Option Pricing and Replication with Transaction Costs.” Journal of Finance, 49 (12 1985), 1283–1301.CrossRefGoogle Scholar
Loeb, T. F. “Trading Cost: The Critical Link between Investment Information and Results.” Financial Analysts Journal, 39 (05–06 1983), 39–44.CrossRefGoogle Scholar
Merton, R. C. “Optimum Consumption and Portfolio Rules in a Continuous-Time Model.” Journal of Economic Theory, 3 (12 1971), 373–413.CrossRefGoogle Scholar
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, (07 1989), 225–261.CrossRefGoogle Scholar
Robertson, M.Directory of World Futures and Options. Englewood Cliffs, NJ: Prentice Hall (1990).Google Scholar
Shen, Q. “Bid-Ask Prices for Call Options with Transaction Costs.” Working Paper, The Wharton School, Univ. of Pennsylvania (1990).Google Scholar