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Limit Moves as Censored Observations of Equilibrium Futures Price in GARCH Processes

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  • Morgan, I G
  • Trevor, R G

Abstract

We develop an algorithm for estimating generalized autoregressive conditional heteroscedasticity models for time series containing some censored observations. Motivation for the algorithm comes from those futures markets and some equity markets that have limits constraining the maximum allowable movement in price in a day. When a limit is reached, trading stops and the equilibrium price is not observed. We maximize the likelihood function by replacing the unobservable squared error terms with their expected values. We evaluate the algorithm performance by extensive simulation and apply it to treasury-bill futures data from a period of high volatility and frequent limit moves.

Suggested Citation

  • Morgan, I G & Trevor, R G, 1999. "Limit Moves as Censored Observations of Equilibrium Futures Price in GARCH Processes," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 397-408, October.
  • Handle: RePEc:bes:jnlbes:v:17:y:1999:i:4:p:397-408
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    Cited by:

    1. Friedmann, Ralph & Sanddorf-Kohle, Walter G., 2007. "A conditional distribution model for limited stock index returns," Journal of Economic Dynamics and Control, Elsevier, vol. 31(3), pages 721-741, March.
    2. Broto, Carmen & Ruiz, Esther, 2006. "Unobserved component models with asymmetric conditional variances," Computational Statistics & Data Analysis, Elsevier, vol. 50(9), pages 2146-2166, May.
    3. Jean-Paul Chavas & Kwansoo Kim, 2006. "An econometric analysis of the effects of market liberalization on price dynamics and price volatility," Empirical Economics, Springer, vol. 31(1), pages 65-82, March.
    4. Gabriele Fiorentini & Enrique Sentana & Neil Shephard, 2004. "Likelihood-Based Estimation of Latent Generalized ARCH Structures," Econometrica, Econometric Society, vol. 72(5), pages 1481-1517, September.
    5. Tamir Levy & Joseph Yagil, 2006. "An Empirical Comparison of Price-Limit Models-super-," International Review of Finance, International Review of Finance Ltd., vol. 6(3-4), pages 157-176.
    6. Levy, Tamir & Qadan, Mahmod & Yagil, Joseph, 2013. "Predicting the limit-hit frequency in futures contracts," International Review of Financial Analysis, Elsevier, vol. 30(C), pages 141-148.
    7. Amilon, Henrik, 2003. "GARCH estimation and discrete stock prices: an application to low-priced Australian stocks," Economics Letters, Elsevier, vol. 81(2), pages 215-222, November.
    8. Hsieh, Ping-Hung & Yang, J. Jimmy, 2009. "A censored stochastic volatility approach to the estimation of price limit moves," Journal of Empirical Finance, Elsevier, vol. 16(2), pages 337-351, March.

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