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The Behavior and Predictive Power of Implied Volatilities in Spot and Futures Options

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In this paper, we throughly investigate the behavior and predictive power of volatilities implied in options. Therefore, we have two important goals in this study as follows: first, through the comprehensive review on the various issues of implied volatilities, we find the lack of studies on the relation between the implied volatilities of spot options and corresponding futures options. That is, we investigate the dynamic and stochastic relationship between implied volatilities of spot and futures options. Second, we develop a meaningful prediction model of expected implied volatility by using the relationship between two volatilities. Similar to Han and Misra(1990), Harvey and Whaley(1992) and Guo(1996), we utilize time series models, such as GARCH and VAR(Vector Auto Regression) system to develop the model. Through the investigation of the relation between spot and futures options’ implied volatilities, we can get some insight about the behavior of two related markets in the various aspects, such as lead/lag relationships, and the volatility expectation formation by market participants. Also, we may obtain a better estimate of implied volatility. In addition, the results and the prediction model developed in this paper can be utilized in the future empirical research.

Abstract

In this paper, we throughly investigate the behavior and predictive power of volatilities implied in options. Therefore, we have two important goals in this study as follows: first, through the comprehensive review on the various issues of implied volatilities, we find the lack of studies on the relation between the implied volatilities of spot options and corresponding futures options. That is, we investigate the dynamic and stochastic relationship between implied volatilities of spot and futures options. Second, we develop a meaningful prediction model of expected implied volatility by using the relationship between two volatilities. Similar to Han and Misra(1990), Harvey and Whaley(1992) and Guo(1996), we utilize time series models, such as GARCH and VAR(Vector Auto Regression) system to develop the model. Through the investigation of the relation between spot and futures options’ implied volatilities, we can get some insight about the behavior of two related markets in the various aspects, such as lead/lag relationships, and the volatility expectation formation by market participants. Also, we may obtain a better estimate of implied volatility. In addition, the results and the prediction model developed in this paper can be utilized in the future empirical research.

참고문헌 (55)

  1. Beckers, S., "Standard deviations implied in option prices as predictors of future stock price volatility", Journal of Banking and Finance, 5(3), pp.363~381 (1981)
  2. Biger, N., "The valuation of currency options", Financial Management, 12(1), pp.24~28 (1983)
  3. Black, F., "The pricing of commodity contracts", Journal of Financial Economics, 3(3), pp.167~179 (1976)
  4. Black, F., "Studies of stock volatility changes", Proceedings of the 1976 meetings of the Business and Economic Statistics Section of the American Statistical Association, pp.177~181 (1976)
  5. Black, F., "The pricing of options and corporate liabilities", Journal of Political Economy, 81(3), pp.637~654 (1973)
  6. Black, F., "The valuation of option contracts and a test of market efficiency", Journal of Finance, 27(2), pp.399~418 (1972)
  7. Bodurtha, J. N., "Efficiency tests of the foreign currency options market", Journal of Finance, 41(1), pp.151~162 (1986)
  8. Brenner, M., "Options on the spot and options on Futures", Journal of Finance, 40(5), pp.1303~1317 (1985)
  9. Brenner, M. G., "Optionson the stock indices and options on Futures", Journal of Banking and Finance, 13(4-5), pp.773~782 (1989)
  10. Campa, M. J., "Testing the expectations hypothesis on the term structure of volatilities in foreign exchange options", Journal of Finance, 50(2), pp.529~547 (1995)
  11. Campbell, J. Y., "Stock returns and the term structure", Journal of Financial Economics, 18(2), pp.373~400 (1987)
  12. Chiras, D. P., "The information content of option prices and a test of market efficiency", Journal of Financial Economics, 6(2-3), pp.213~234 (1978)
  13. Choi, S., "Implied volatility in options markets and conditional heteroscedasticity in stock markets", Financial Review, 27(4), pp.503~530 (1992)
  14. Christie, A. A., "The stochastic behavior of common stock variances : Value, leverage and interest rate effects", Journal of Financial Economics, 10(4), pp.407~432 (1982)
  15. Corrado, C. J., "Efficient option-implied volatility estimators", Journal of Futures Markets, 16(3), pp.247~272 (1996)
  16. Cox, J. C., "Option pricing : A simplified approach", Journal of Financial Economics, 7(3), pp.224~263 (1979)
  17. Day, T. E., "Stock market volatility and the information content of stock index options", Journal of Econometrics, 52(1-2), pp.267~287 (1992)
  18. Dickey, D., "Distribution of the estimators for autoregressive time series with a unit root", Journal of the American Statistical Association, 74(366), pp.427~431 (1979)
  19. Dickey, D., "Likelihood ratio tests for autoregressive time series with a unit root", Econometrica, 49(4), pp.1057~1072 (1981)
  20. Diz, F., "Do the options markets really overreact?", Journal of Futures Markets, 13(3), pp.299~312 (1993)
  21. Edey, M., "Some evidence on option prices as predictors of volatility", Oxford Bulletin of Economics and Statistics, 54(4), pp.567~578 (1992)
  22. Emanuel, D. C., "Further results on the constant elasticity of variance call option pricing model", Journal of Financial and Quantitative Analysis, 17(4), pp.533~554 (1982)
  23. Engle, R., "Co-integration and error correction : Representation, estimation and testing", Econometrica, 35(2), pp.251~276 (1987)
  24. Feinstein, S., "The Black-Scholes formula is nearly linear in for at-the-money options; therefore implied volatilities from at-the-money options are virtually unbiased", Unpublished manuscript, ~ (1989)
  25. Garman, M., "Foreign currency option values", Journal of International Money and Finance, 2(3), pp.231~237 (1983)
  26. Guo, D., "The predictive power of implied stochastic variance from currency options", Journal of Futures Markets, 16(8), pp.915~942 (1996)
  27. Han, L., "The relationship between the volatilities of the S&P 500 index and Futures Contracts implied in their call option prices", Journal of Futures Market, 10(3), pp.273~285 (1990)
  28. Harvey, C. R., "Market volatility prediction and efficiency of the S&P 100 index option market", Journal of Financial Economics, 31(1), pp.43~73 (1992)
  29. Harvey, C. R., "S&P 100 index option volatility", Journal of Finance, 46(4), pp.1551~1561 (1991)
  30. Heynen, R., "Analysis of the term structure of implied volatilities", Journal of Financial and Quantitative Analysis, 29(1), pp.31~56 (1994)
  31. Hull, J., "The pricing of options on assets with stochastic volatilities", Journal of Finance, 42(2), pp.281~300 (1987)
  32. Johansen, S., "Statistical analysis of cointegration vectors", Journal of Economic Dynamics and Control, 12(2-3), pp.231~254 (1988)
  33. Johansen, S., "Estimation and hypothesis testing of cointegration vectors in Gaussian vector autoregressive models", Econometrica, 59(6), pp.1551~1580 (1991)
  34. Johnson, L. J., "Foreign-currency options, ex-ante exchange-rate volatility, and market efficiency : An empirical test", Financial Review, 21(4), pp.433~450 (1986)
  35. Jorion, P., "Predicting volatility in the foreign exchange Market", Journal of Finance, 50(2), pp.507~528 (1995)
  36. Kandel, S., "Expectations and volatility of consumption and asset returns", Review of Financial Studies, 13(2), pp.207~232 (1990)
  37. Kawaller, I. G., "Assessing the intraday relationship between implied and historical volatility", Journal of Futures Markets, 14(3), pp.323~346 (1994)
  38. Keim, D. B., "Predicting returns in the bond and stock market", Journal of Financial Economics, 17(2), pp.357~390 (1986)
  39. Lamoureux, C. G., "Forecasting stock-return variance : Toward an understanding of stochastic implied volatilities", Review of Financial Studies, 6(2), pp.293~326 (1993)
  40. Latane, H. A., "Standard deviations of stock price ratios implied in option prices", Journal of Finance, 31(2), pp.369~381 (1976)
  41. Nelson, D. B., "Conditional heteroskedasticity in asset returns : A new approach", Econometrica, 59(2), pp.347~370 (1991)
  42. Patell, J. M., "Anticipated information releases reflected in call option prices", Journal of Accounting and Economics, 1(2), pp.117~140 (1979)
  43. Phillips, P., "Testing for a unit root in time series regression", Biometrika, 75(2), pp.335~346 (1988)
  44. Schmalensee, R., "Common stock volatility expectations implied by option premia", Journal of Finance, 33(1), pp.129~147 (1978)
  45. Schwert, G. W., "Why does stock market volatility change over time?", Journal of Finance, 44(5), pp.1115~1153 (1989)
  46. Schwert, G. W., "Stock volatility and the crash of ’87", Review of Financial Studies, 3(1), pp.77~101 (1990)
  47. Scott, E., "Predicting currency return volatility", Journal of Banking and Finance, 13(6), pp.839~851 (1989)
  48. Shanken, J., "Intertemporal asset pricing : An empirical investigation", Journal of Econometrics, 45(1-2), pp.99~120 (1990)
  49. Sheikh, A., "The behavior of volatility expectations and their effects on expected return", Journal of Business, 66(1), pp.93~116 (1993)
  50. Sims, C. A., "Macroeconomics and Reality", Econometrica, 48(1), pp.1~49 (1980)
  51. Stein, J., "Overreactions in the options market", Journal of Finance, 44(4), pp.1011~1023 (1989)
  52. Tucker, A. L., "Tests of the Black-Scholes and constant elasticity of variance currency call option valuation models", Journal of Financial Research, 11(2), pp.201~213 (1988)
  53. Whaley, R. E., "Valuation of American call options on dividend-paying stocks", Journal of Financial Economics, 10(1), pp.29~58 (1982)
  54. Whaley, R. E., "Valuation of American Futures options : Theory and empirical tests", Journal of Finance, 41(1), pp.127~150 (1986)
  55. Xu, X., "The term structure of volatility implied by foreign exchange options", Journal of Financial and Quantitative Analysis, 29(1), pp.57~74 (1994)

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