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No Arbitrage and Valuation in Markets with Realistic Transaction Costs

Published online by Cambridge University Press:  06 April 2009

Jaime Cuevas Dermody  and
Eliezer Z. Prisman
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Abstract

One of the most fundamental results in finance is the equivalence of a no-arbitrage condition to the existence of a pricing operator in markets without transaction costs (see Ross (1978)). Garman and Ohlson (1981) extended this to markets with proportional transaction costs. The current paper further extends this result to markets with realistic (and nonproportional) transaction costs. These costs include all investors' market-impact and short-borrowing costs, large investors' institutional commissions, and for small investors only the additional cost of retail commissions. They are functions of the value of the trade and have increasing, increasing, constant, and decreasing marginal rates, respectively, in that value. Garman and Ohlson showed that equilibrium prices in their notion of a “corresponding” cost-free market, plus a certain factor, prevail under equilibrium in markets with proportional transaction costs. The current paper extends this to realistic transaction costs and establishes the functional relation between this factor and the form of such costs.

Type
Research Article
Information
Journal of Financial and Quantitative Analysis , Volume 28 , Issue 1 , March 1993 , pp. 65 - 80
Copyright
Copyright © School of Business Administration, University of Washington 1993

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References

Beebower, G. L., and Priest, W. W. Jr “The Tricks of the Trade.” Journal of Portfolio Management, 6 (Winter 1980), 36–42.CrossRefGoogle Scholar
Berkowitz, S. A., and Logue, D. E.. “The Portfolio Turnover Explosion Explored.” Journal of Portfolio Management, 13 (Spring 1987), 38–45.CrossRefGoogle Scholar
Berkowitz, S. A.; Logue, D. E.; and Noser, E. A. Jr “The Total Cost of Transactions on the NYSE.” Journal of Finance, 43 (03 1988), 97–112.Google Scholar
Black, F. “Equilibrium Exchanges.” Goldman, Sachs, & Co. Working Paper (03 1992).Google Scholar
Dermody, J. C., and Prisman, E. Z.. “Term Structure Multiplicity and Clientele in Markets with Transactions Costs and Taxes.” Journal of Finance, 43 (09 1988), 893–911.CrossRefGoogle Scholar
Dermody, J. C., and Rockafellar, T. R.. “Cash Stream Valuation in the Face of Transaction Costs and Taxes.” Mathematical Finance, 1 (01 1991), 31–54.CrossRefGoogle Scholar
Easley, D., and O'Hara, M.. “Price, Trade Size, and Information in Securities Markets.” Journal of Financial Economics, 19 (09 1987), 69–90.CrossRefGoogle Scholar
Garman, M. B., and Ohlson, J. A.. “Valuation of Risky Assets in Arbitrage Free Economies with Transactions Costs.” Journal of Financial Economics, 9 (09 1981), 271–280.Google Scholar
Glosten, L., and Milgrom, P.. “Bid, Ask and Transaction Prices in a Specialist Market with Heterogeneously Informed Traders.” Journal of Financial Economics, 14 (03 1985), 71–100.Google Scholar
Hasbrouck, J., and Schwartz, R. A.. “Liquidity and Execution Costs in Equity Markets.” Journal of Portfolio Management, 14 (Spring 1988), 10–16.CrossRefGoogle Scholar
Ho, T. S. Y., and Stoll, H. R.. “Optimal Dealer Pricing under Transaction Costs and Return Uncertainty.” Journal of Financial Economics, 9 (03 1981), 47–73.Google Scholar
Ho, T. S. Y., and Stoll, H. R.. “The Dynamics of Dealer Markets under Competition.” Journal of Finance, 38 (09 1983), 1053–1074.CrossRefGoogle Scholar
Holthausen, R. W.; Leftwich, R. W.; and Mayers, D.. “Large Block Transaction, the Speed of Response, and Temporary and Permanent Stock-Price Effect.” Journal of Financial Economics, 26 (07 1990), 71–95.CrossRefGoogle Scholar
Holthausen, R. W.; Leftwich, R. W.; and Mayers, D.. “The Effects of Large Block Transaction on Security Prices: A Cross-Sectional Analysis.” Journal of Financial Economics, 19 (12 1987), 237–268.CrossRefGoogle Scholar
Jordan, J. V.. “Tax Effects in Term Structure Estimation.” Journal of Finance, 39 (06 1984), 393–406.CrossRefGoogle Scholar
Katz, E., and Prisman, E. Z.. “Clientele Effects, Arbitrage, and Term Structure Estimations.” Journal of Financial and Quantitative Analysis, 26 (12 1991), 435–443.CrossRefGoogle Scholar
Keim, D. B., and Madhavan, A.. “The Upstairs Market for Large-Block Transactions: Analysis and Measurement of Price Effects.” Wharton School Finance Dept. Working Paper, Univ. of Pennsylvania (12 1991).Google Scholar
Klee, V. L. “Maximal Separation Theorem for Convex Sets.” Transactions of the American Mathematical Society, 134 (10 1969), 133–148.CrossRefGoogle Scholar
Kraus, A., and Stroll, H. R.. “Price Impacts of Block Trading on the New York Stock Exchange.” Journal of Finance, 27 (06 1972), 569–588.Google Scholar
Prisman, E. Z. “Valuation of Risky Assets in Arbitrage-Free Economies with Frictions.” Journal of Finance, 41 (07 1986), 545–560.CrossRefGoogle Scholar
Prisman, E. Z.. “A Unified Approach to Term Structure Estimation: A Methodology for Estimating Term Structure in Markets with Frictions.” Journal of Financial and Quantitative Analysis, 25 (03 1990), 127–142.CrossRefGoogle Scholar
Rockafellar, R. T.Convex Analysis. Princeton, NJ: Princeton Univ. Press (1970).CrossRefGoogle Scholar
Ross, S. A. “The Arbitrage Theory of Capital Asset Pricing.” Journal of Economic Theory, 3 (12 1976), 341–360.Google Scholar
Ross, S. A.. “A Simple Approach to the Valuation of Risky Streams.” Journal of Business, 51 (07 1978), 453–475.CrossRefGoogle Scholar
Schwartz, R. S.Equity Markets: Structures, Trading, and Performance. New York, NY: Harper & Row (1988).Google Scholar
Schwartz, R. S.. Reshaping the Equity Markets: A Guide for the 1990's. New York, NY: Harper Business (1991).Google Scholar
Schwartz, R. S., and Whitcomb, D. K.. Transaction Costs and Institutional Trading Strategies. Monograph Series in Finance and Economics 1988–2/3, Solomon Brothers Center for the Study of Financial Institutions (1988).Google Scholar
Stoll, H. R. “Inferring the Components of the Bid-Ask Spread: Theory and Empirical Tests.” Journal of Finance, 44 (03 1989), 115–134.Google Scholar
Stoll, H. R. “The Pricing of Security Dealer Services: An Empirical Study of NASDAQ Stocks.” Journal of Finance, 33 (09 1978), 1153–1172.CrossRefGoogle Scholar