# When noise trading fades, volatility rises

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## Abstract

We hypothesize and test an inverse relation between liquidity and price volatility derived from microstructure theory. Two important facets of liquidity trading are examined: volume and noisiness. As represented by the expected turnover rate (volume) and realized average commission cost per share (noisiness) of NYSE equity trading, both facets are found negatively associated with the *ex post* and *ex ante* return volatilities of the NYSE stock portfolios and the NYSE composite index futures. Furthermore, the inverse association between noisiness and volatility is amplified in times of market crisis. The negative noisiness–volatility relation is also supported by our analysis on the effects of trade size on price volatility. The overall results demonstrate that volatility increases as noise trading declines.

## Keywords

Noise trading Liquidity Volatility Volume Trade size## JEL Classification

G10 G14## Notes

### Acknowledgments

The author wishes to thank C.F. Lee (Editor) and two anonymous referees for helpful comments, M. Nimalendran, Jeffrey Pontiff, and Jiang Wang for helpful discussions, and Charles Bartlett from SIFMA for providing and explaining part of the data. The financial support from National Science Foundation of China for research project#71,273,150 is gratefully acknowledged.

## References

- Admati AR, Pfleiderer P (1988) A theory of intraday patterns: volume and price variability. Rev Financ Stud 1:3–40CrossRefGoogle Scholar
- Amihud Y (2002) Illiquidity and stock returns: cross-section and time-series effects. J Financ Mark 5:31–56CrossRefGoogle Scholar
- Amihud Y, Mendelson H (1986) Asset pricing and the bid-ask spread. J Financ Econ 17:223–249CrossRefGoogle Scholar
- Amihud Y, Mendelson H, Lauterbach B (1997) Market microstructure and securities values: evidence from the Tel Aviv Stock Exchange. J Financ Econ 45:365–390CrossRefGoogle Scholar
- Andersen TG, Bollerslev T (1997) Heterogeneous information arrivals and return volatility dynamics: uncovering the long run in high-frequency returns. J Finance 52:975–1005CrossRefGoogle Scholar
- Bae K, Karolyi GA, Stulz RM (2003) A new approach to measuring financial contagion. Rev Financ Stud 16:717–763CrossRefGoogle Scholar
- Bailey W, Jagtiani J (1994) Foreign ownership restrictions and stock prices in the Thai capital market. J Financ Econ 36:57–87CrossRefGoogle Scholar
- Barber BM, Odean T (2000) Trading is hazardous to your wealth: the common stock investment performance of individual investors. J Finance 55:773–806CrossRefGoogle Scholar
- Barber BM, Odean T (2008) All that glitters: the effect of attention and news on the buying behavior of individual and institutional investors. Rev Financ Stud 21:785–818CrossRefGoogle Scholar
- Barclay M, Warner J (1993) Stealth trading and volatility: which trades move prices. J Financ Econ 34:281–305CrossRefGoogle Scholar
- Bekaert G, Harvey G, Lundblad C (2007) Liquidity of emerging markets: lessons from emerging markets. Rev Financ Stud 20:1783–1831CrossRefGoogle Scholar
- Berkman H, Eleswarapu V (1998) Short-term traders and liquidity: a test using Bombay Stock Exchange data. J Financ Econ 47:339–355CrossRefGoogle Scholar
- Berkowitz SA, Logue DE, Noser EA (1988) The total cost of transactions on the NYSE. J Finance 43:97–112CrossRefGoogle Scholar
- Bessembinder H, Seguin PJ (1992) Futures trading activity and stock price volatility. J Finance 47:2015–2034CrossRefGoogle Scholar
- Bessembinder H, Seguin PJ (1993) Price volatility, trading volume, and market depth: evidence from futures markets. J Financ Quant Anal 28:21–39CrossRefGoogle Scholar
- Bhar R, Malliaris A (1998) Volume and volatility in foreign currency futures markets. Rev Quant Financ Account 10:285–302CrossRefGoogle Scholar
- Black F (1986) Noise. J Finance 41:529–543CrossRefGoogle Scholar
- Bloomfield R, O’Hara M, Saar G (2009) How noise trading affects markets: an experimental analysis. Rev Financ Stud 22:2275–2302CrossRefGoogle Scholar
- Bollerslev T (1987) A conditionally heteroskedastic time-series model for speculation prices and rates of return. Rev Econ Stat 69:542–547CrossRefGoogle Scholar
- Box GEP, Pierce DA (1970) Distribution of residual autocorrelations in autoregressive-integrated moving average time-series models. J Am Stat Assoc 65:1509–1526CrossRefGoogle Scholar
- Brennan MJ, Subrahmanyam A (1996) Market microstructure and asset pricing: on the compensation for illiquidity in stock returns. J Financ Econ 41:441–464CrossRefGoogle Scholar
- Brennan MJ, Subrahmanyam A (1998) The determinants of average trade size. J Bus 71:1–25CrossRefGoogle Scholar
- Campbell JY, Grossman SJ, Wang J (1993) Trading volume and serial correlation in stock returns. Q J Econ 108:905–939CrossRefGoogle Scholar
- Chakravarty S (2001) Stealth-trading: Which traders’ trades move stock prices? J Financ Econ 61:289–307CrossRefGoogle Scholar
- Chan K, Fong W (2000) Trade size, order imbalance, and the volatility–volume relation. J Financ Econ 57:247–273CrossRefGoogle Scholar
- Chiang TC, Doong S (2001) Empirical analysis of stock returns and volatility: evidence from seven Asian stock markets based on TAR-GARCH model. Rev Quant Financ Account 17:301–318CrossRefGoogle Scholar
- Chordia T, Roll R, Subrahmanyam A (2000) Commonality in liquidity. J Financ Econ 56:3–28CrossRefGoogle Scholar
- Chordia T, Subrahmanyam A, Anshuman VR (2001) Trading activity and expected stock returns. J Financ Econ 59:3–32CrossRefGoogle Scholar
- Chordia T, Sarkar A, Subrahmanyam A (2005) An empirical analysis of stock and bond market liquidity. Rev Financ Stud 18:85–129CrossRefGoogle Scholar
- Daigler RT, Wiley MK (1999) The impact of trader type on the futures volatility–volume relation. J Finance 54:2297–2316CrossRefGoogle Scholar
- Datar VT, Naik NY, Radcliffe R (1998) Liquidity and stock returns: an alternative test. J Financ Mark 1:203–219CrossRefGoogle Scholar
- De Long JB, Shleifer A, Summers LH, Waldmann RJ (1990) Noise trader risk in financial markets. J Polit Econ 98:703–738CrossRefGoogle Scholar
- Duffie D, Pedersen LH, Singleton KJ (2003) Modeling sovereign yield spreads: a case study of Russian debt. J Finance 58:119–159CrossRefGoogle Scholar
- Dungey M, Renée F, González-Hermosillo B, Martin V (2006) Contagion in international bond markets during the Russian and the LTCM crises. J Financ Stab 2:1–27CrossRefGoogle Scholar
- Easley D, Kiefer NM, O’Hara M, Paperman JB (1996) Liquidity, information, and infrequently traded stocks. J Finance 51:1405–1436CrossRefGoogle Scholar
- Easley D, Kiefer NM, O’Hara M (1997) One day in the life of a very common stock. Rev Financ Stud 10:805–835CrossRefGoogle Scholar
- Engle RF, Rangel JG (2008) The spline-GARCH model for low-frequency volatility and its global macroeconomic causes. Rev Financ Stud 21:1187–1222CrossRefGoogle Scholar
- Epps TW, Epps ML (1976) The stochastic dependence of security price changes and transaction volumes: implications for the mixture-of-distributions hypothesis. Econometrica 44:305–321CrossRefGoogle Scholar
- Evans MDD, Lyons RK (2002) Time varying liquidity in foreign exchange. J Monet Econ 49:1025–1051CrossRefGoogle Scholar
- Forbes KJ, Rigobon R (2002) No contagion, only interdependence: measuring stock market comovements. J Finance 57:2223–2261CrossRefGoogle Scholar
- French KR, Schwert GW, Stambaugh RF (1987) Expected stock returns and volatility. J Financ Econ 19:3–29CrossRefGoogle Scholar
- Gallant AG, Rossi PE, Tauchen G (1992) Stock prices and volume. Rev Financ Stud 5:199–242CrossRefGoogle Scholar
- Glosten LR, Milgrom PR (1985) Bid, ask, and transaction prices in a specialist market with heterogeneously informed traders. J Financ Econ 14:71–100CrossRefGoogle Scholar
- Hamao Y, Masulis R, Ng V (1990) Correlations in price changes and volatility across international stock markets. Rev Financ Stud 3:281–307CrossRefGoogle Scholar
- Harris L (1986) A transaction data study of weekly and intradaily patterns in stock returns. J Financ Econ 16:99–117CrossRefGoogle Scholar
- Harris M, Raviv A (1993) Differences of opinion make a horse race. Rev Financ Stud 6:473–506CrossRefGoogle Scholar
- Huang J, Wang J (2009) Liquidity and market crashes. Rev Financ Stud 22:2607–2643CrossRefGoogle Scholar
- Huang C, Lin T, Yu C, Hoe S (2006) Volatility–volume relationships among types of traders considering the investment limitation to foreign investors. Rev Pac Basin Financ Mark Polic 9:575–596CrossRefGoogle Scholar
- Hvidkjaer S (2006) A trade-based analysis of momentum. Rev Financ Stud 19:457–491CrossRefGoogle Scholar
- Hvidkjaer S (2008) Small trades and the cross-section of stock returns. Rev Financ Stud 21:457–491CrossRefGoogle Scholar
- Jain PC, Joh G (1988) The dependence between hourly prices and trading volume. J Financ Quant Anal 23:269–283CrossRefGoogle Scholar
- Johnson TC (2008) Volume, liquidity, and liquidity risk. J Financ Econ 87:388–417CrossRefGoogle Scholar
- Jones CM (2002) A century of stock market liquidity and trading costs. Working paper, Columbia UniversityGoogle Scholar
- Jones CM, Lipson ML (2001) Sixteenths: direct evidence on institutional execution costs. J Financ Econ 59:253–278CrossRefGoogle Scholar
- Jones CM, Kaul G, Lipson ML (1994) Transactions, volume and volatility. Rev Financ Stud 7:631–651CrossRefGoogle Scholar
- Karpoff JM (1987) The relation between price changes and trading volume: a survey. J Financ Quant Anal 22:109–126CrossRefGoogle Scholar
- Keim DB, Madhavan A (1997) Transactions costs and investment style: an inter-exchange analysis of institutional equity trades. J Financ Econ 46:293–319CrossRefGoogle Scholar
- King MA, Wadhwani S (1990) Transmission of volatility between stock markets. Rev Financ Stud 3:5–33CrossRefGoogle Scholar
- Kyle AS (1985) Continuous auctions and insider trading. Econometrica 53:1315–1335CrossRefGoogle Scholar
- Lamoureux CG, Lastrapes WD (1990) Heteroskedasticity in stock return data: volume versus GARCH effects. J Finance 45:221–229CrossRefGoogle Scholar
- Lesmond DA (2005) Liquidity of emerging markets. J Financ Econ 77:411–452CrossRefGoogle Scholar
- Levine R, Schmukler SL (2007) Migration, spillovers, and trade diversion: the impact of internationalization on domestic stock market activity. J Bank Finance 31:1595–1612CrossRefGoogle Scholar
- Li J, Wu C (2006) Daily return volatility, bid-ask spreads and information flow: analyzing the information content of volume. J Bus 79:2697–2739CrossRefGoogle Scholar
- Madhavan A (1995) Consolidation, fragmentation, and the disclosure of trading information. Rev Financ Stud 8:579–603CrossRefGoogle Scholar
- O’Hara M (1995) Market microstructure theory. Blackwell Publishers, CambridgeGoogle Scholar
- Odean T (1998) Are investors reluctant to realize their losses? J Finance 53:1775–1798CrossRefGoogle Scholar
- Odean T (1999) Do investors trade too much? Am Econ Rev 89:1279–1298CrossRefGoogle Scholar
- Pagano M (1989) Endogenous market thinness and stock price volatility. Rev Econ Stud 56:269–288CrossRefGoogle Scholar
- Pástor L, Stambaugh RF (2003) Liquidity risk and expected stock returns. J Polit Econ 111:642–685CrossRefGoogle Scholar
- Rahman S, Lee CF, Ang KP (2002) Intraday return volatility process: evidence from NASDAQ stocks. Rev Quant Financ Account 19:155–180CrossRefGoogle Scholar
- Roll R (1983) On computing mean returns and the small firm premium. J Financ Econ 12:371–386CrossRefGoogle Scholar
- Rouwenhorst G (1999) Local factors and turnover in emerging markets. J Finance 54:1439–1464CrossRefGoogle Scholar
- Sadka R (2006) Momentum and post-earnings-announcement drift anomalies: the role of liquidity risk. J Financ Econ 80:309–349CrossRefGoogle Scholar
- Schwert GW (1989) Why does stock market volatility change over time? J Finance 44:1115–1153CrossRefGoogle Scholar
- Shalen CT (1993) Volume, volatility and the dispersion of beliefs. Rev Financ Stud 6:405–434CrossRefGoogle Scholar
- Shleifer A, Summers LH (1990) The noise trader approach to finance. J Econ Perspect 4:19–33CrossRefGoogle Scholar
- Tauchen GE, Pitts M (1983) The price variability–volume relation on speculative markets. Econometrica 51:485–505CrossRefGoogle Scholar
- Tsay RS (2005) Analysis of financial time series. Wiley, HobokenCrossRefGoogle Scholar
- Wu C, Xu EX (2000) Return volatility, trading imbalance and the information content of volume. Rev Quant Financ Account 14:131–153CrossRefGoogle Scholar