1991
DOI: 10.1007/bf02409668
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Kalman filter estimation for valuing nontrading securities, with applications to the MMI cash-future spread on October 19 and 20, 1987

Abstract: Abstract. The Kalman filter is proposed as a method for estimating the value of nontrading securities during periods when other securities are trading. The method also provides confidence intervals that indicate the degree of uncertainty regarding estimated value. The method is applied to the Major Market Index during the principal days of the 1987 stock market crash. Our results indicate that nonsynchronous trading explains a small but significant portion of the cash-futures spread that prevailed during these… Show more

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Cited by 16 publications
(8 citation statements)
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“…Stoll and Whaley (1990) suggested the residuals from an ARMA (p,q) regressions as a proxy for the true index. Bassett, France and Pliska (1991) used the Kalman filter to estimate a distribution of the true index. Miller, Muthuswamy and Whaley (1994) proposed to remove the effects of thin trading by using moving averages, which reflects the number of nontrading days, and then returns are adjusted accordingly.…”
Section: Introductionmentioning
confidence: 99%
“…Stoll and Whaley (1990) suggested the residuals from an ARMA (p,q) regressions as a proxy for the true index. Bassett, France and Pliska (1991) used the Kalman filter to estimate a distribution of the true index. Miller, Muthuswamy and Whaley (1994) proposed to remove the effects of thin trading by using moving averages, which reflects the number of nontrading days, and then returns are adjusted accordingly.…”
Section: Introductionmentioning
confidence: 99%
“…A number of different approaches have been suggested to correct for infrequent trading. Stoll and Whaley (1990) use the residuals from an ARMA( p, q) regression as a proxy for the true index, whereas Bassett, France, and Pliska (1991) propose the use of a Kalman filter to estimate the distribution of the true index. In this paper, we employ a modified version of the Stoll and Whaley approach suggested by Jokivuolle (1995) to estimate the true unobservable index from the history of the observed index.…”
Section: Introductionmentioning
confidence: 99%
“…At this time, the filter was used to forecast the real rate of interest and the risk premia in forward and futures markets (Fama and Gibbons, 1982;Hsieh and Kulatilaka, 1982). Bassett et al (1991) used the Kalman filter to forecast forward prices of nontraded securities. There are also extensive applications in the fields of exchange rates and term structure of interest rates where the Kalman filter is used to forecast volatility and other key variables (Pennacchi, 1991).…”
Section: Resultsmentioning
confidence: 99%