TY - JOUR AU - Noh,Jaesun AU - Engle,Robert F. AU - Kane,Alex TI - A Test of Efficiency for the S&P Index Option Market Using Variance Forecasts JF - National Bureau of Economic Research Working Paper Series VL - No. 4520 PY - 1993 Y2 - November 1993 UR - http://www.nber.org/papers/w4520 L1 - http://www.nber.org/papers/w4520.pdf N1 - Author contact info: Robert F. Engle, III Department of Finance, Stern School of Business New York University, Salomon Center 44 West 4th Street, Suite 9-160 New York, NY 10012-1126 Tel: 212/998-0710 Fax: 212/995-4220 E-Mail: rengle@stern.nyu.edu Alex Kane Graduate School of IRPS/D-019 University of California, San Diego La Jolla, CA 92093-0519 Tel: 619/534-5969 E-Mail: akane@ucsd.edu AB - To forecast future option prices, autoregressive models of implied volatility derived from observed option prices are commonly employed [see Day and Lewis (1990), and Harvey and Whaley (1992)]. In contrast, the ARCH model proposed by Engle (1982) models the dynamic behavior in volatility, forecasting future volatility using only the return series of an asset. We assess the performance of these two volatility prediction models from S&P 500 index options market data over the period from September 1986 to December 1991 by employing two agents who trade straddles, each using one of the two different methods of forecast. Straddle trading is employed since a straddle does not need to be hedged. Each agent prices options according to her chosen method of forecast, buying (selling) straddles when her forecast price for tomorrow is higher (lower) than today's market closing price, and at the end of each day the rates of return are computed. We find that the agent using the GARCH forecast method earns greater profit than the agent who uses the implied volatility regression (IVR) forecast model. In particular, the agent using the GARCH forecast method earns a profit in excess of a cost of $0.25 per straddle with the near-the-money straddle trading. ER -