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On the Distribution of CBOE Option Trade Prices Occurring Between Consecutive Stock Trades

Abstract

This paper examines the volume distribution of option trade prices that occurs when the underlying stock price remains constant. The width of these option trade price bands provides direct evidence on the law of one price and the redundancy of options assumed in many option models. We find that index option bands are narrower than equity option bands. Furthermore, for both equity and index options, puts have narrower bandwidths than calls. In general, option price bandwidth is narrow and can be explained by the minimum price movement allowed by the Chicago Board Options Exchanges (CBOE). This supports the single price law and the redundancy assumption. The existence of bid/ask quotes on the option does not materially affect the above results although it does alter the frequency of multiple option trade prices for a given underlying stock price. We note that over 53% of option trading volume occurs without bid/ask quotes on the CBOE compared to less than 15% a decade ago. Our results suggest that the effective bid/ask spread on options is probably no larger than the minimum price movements allowed by the CBOE. Furthermore, the need for the liquidity services of market makers may be declining if the decline in quoting activity stems from cross trading (i.e. trades not involving market makers).

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References

  • Bhattacharya, M., “Direct Tests of Bid/Ask SpreadModels.” University of Michigan Working Paper, Ann Arbor (1986).

  • Black, F., and M. Scholes, “The Pricing of Options and CorporateLiabilities.” Journal of Political Economy, 81 (May/June): 637–54 (1973).

  • Boyle, P.P. and T. Vorst, “OptionReplication in Discrete Time with Transaction Costs.” Journal of Finance, 47 (March): 271–294 (1972).

    Google Scholar 

  • Chen, D.M. and R.L. Welch, #x201C;Empirical Option Price Bands on the Chicago Board Options Exchange and the Redundancy of Options.” Advances in Quantitative Analysis of Finance and Accounting.” Vol. 1(b): 161–182 (1991).

    Google Scholar 

  • Leland, H.E.“Option Pricing and Replication with Transactions Costs.” Journal of Finance 40 (December): 1283–1301 (1985).

  • Levy, H. “Upper and Lower Bounds of Put and Call Option Value: Stochastic Dominance Approach.” Journal of Finance, 40 (September): 1197–1218 (1985).

    Google Scholar 

  • Perrakis, S. “Option Bounds in DiscreteTime: Extensions and the Pricing of the American Put.” Journal of Business, 59 (Jan): 119–142 (1986).

    Google Scholar 

  • Perrakis, S., and P.J. Ryan. “Option Pricing Bounds in discrete Time.” Journal of Finance 39 (June): 519–25 (1984).

    Google Scholar 

  • Ritchken, P.H.“On Option Pricing Bounds.” Journal of Finance, 40 (September): 1219–34 (1985).

  • Rubinstein, M.“Nonparametric Tests of Alternative Option Pricing Models Using All Reported Trades and Quotes on the 30 Most Active CBOE Option Classes from August 23, 1976 through August 31, 1978.” Journal of Finance, 40 (June): 455–80 (1985).

    Google Scholar 

  • Vijh, A.M. “Liquidity of CBOEOptions.” Journal of Finance. (July): 1157–79 (1990).

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Chung, T., Welch, R. & Chen, D. On the Distribution of CBOE Option Trade Prices Occurring Between Consecutive Stock Trades. Review of Quantitative Finance and Accounting 9, 269–288 (1997). https://doi.org/10.1023/A:1008283617526

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  • DOI: https://doi.org/10.1023/A:1008283617526

  • distribution of CBOE option trade prices