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Optimal Replication of Options with Transactions Costs and Trading Restrictions

  • Chanaka Edirisinghe, Vasanttilak Naik and Raman Uppal


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.



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Amihud, Y., and Mendelson, H.. “Liquidity and Asset Prices: Financial Management Implications.” Financial Management, (Spring 1988), 515.
Bensaid, B.; Lesne, J.; Pages, H.; and Scheinkman, J.. “Derivative Asset Pricing with Transaction Costs.” Mathematical Finance, 2 (1992), 6386.
Black, F., and Scholes, M.. “The Pricing of Options and Corporate Liabilities.” Journal of Political Economy, 81 (0506 1973), 637654.
Boyle, P., and Vorst, T.. “Option Pricing in Discrete Time with Transaction Costs.” Journal of Finance, 47 (03 1992), 271293.
Constantinides, G.Capital Market Equilibrium with Transactions Costs.” Journal of Political Economy, 94 (08 1986), 842862.
Cox, J.C.; Ross, S.; and Rubinstein, M.. “Option Pricing: A Simplified Approach.” Journal of Financial Economics, 7 (09 1979), 229263.
Davis, M., and Norman, A.. “Portfolio Selection with Transactions Costs.” Mathematics of Operations Research, 15 (11 1990), 676713.
Dumas, B., and Luciano, E.. “An Exact Solution to a Dynamic Portfolio Choice Problem under Transactions Costs.” Journal of Finance, 46 (06 1991), 577595.
Figlewski, S.Options Arbitrage in Imperfect Markets.” Journal of Finance, 44 (12 1989), 12891311.
Gennotte, G., and Jung, A.. “Investment Strategies under Transactions Costs: The Finite Horizon Case.” Management Science (forthcoming).
Grossman, S., and Laroque, G.. “Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods.” Econometrica, 58 (01 1990), 2551
Hasbrouck, J., and Schwartz, R.. “Liquidity and Execution Costs in Equity Markets.” Journal of Portfolio Management, (Spring 1988), 1016.
Hodges, S., and Neuberger, A.. “Optimal Replication of Contingent Claims under Transactions Costs.” Review of Futures Markets, 8 (1989), 222239.
Leland, H. E.Option Pricing and Replication with Transaction Costs.” Journal of Finance, 49 (12 1985), 12831301.
Loeb, T. F.Trading Cost: The Critical Link between Investment Information and Results.” Financial Analysts Journal, 39 (0506 1983), 3944.
Merton, R. C.Optimum Consumption and Portfolio Rules in a Continuous-Time Model.” Journal of Economic Theory, 3 (12 1971), 373413.
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), 225261.
Robertson, M.Directory of World Futures and Options. Englewood Cliffs, NJ: Prentice Hall (1990).
Shen, Q.Bid-Ask Prices for Call Options with Transaction Costs.” Working Paper, The Wharton School, Univ. of Pennsylvania (1990).
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Journal of Financial and Quantitative Analysis
  • ISSN: 0022-1090
  • EISSN: 1756-6916
  • URL: /core/journals/journal-of-financial-and-quantitative-analysis
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