S\&P 500 Stock Prices
A multivariate series of all S\&P 500 stock prices in the second half of the year 2001, i.e., before and after the terrorist attacks of 2001-09-11.
data("SP2001")
A multivariate daily "zoo"
series with "Date"
index
from 2001-07-31 to 2001-12-31 (103 observations) of all 500 S\&P
stock prices.
Yahoo! Finance: http://finance.yahoo.com/.
Zeileis A., Leisch F., Kleiber C., Hornik K. (2005), Monitoring Structural Change in Dynamic Econometric Models, Journal of Applied Econometrics, 20, 99–121.
## load and transform data ## (DAL: Delta Air Lines, LU: Lucent Technologies) data("SP2001") stock.prices <- SP2001[, c("DAL", "LU")] stock.returns <- diff(log(stock.prices)) ## price and return series plot(stock.prices, ylab = c("Delta Air Lines", "Lucent Technologies"), main = "") plot(stock.returns, ylab = c("Delta Air Lines", "Lucent Technologies"), main = "") ## monitoring of DAL series myborder <- function(k) 1.939*k/28 x <- as.vector(stock.returns[, "DAL"][1:28]) dal.cusum <- mefp(x ~ 1, type = "OLS-CUSUM", border = myborder) dal.mosum <- mefp(x ~ 1, type = "OLS-MOSUM", h = 0.5, period = 4) x <- as.vector(stock.returns[, "DAL"]) dal.cusum <- monitor(dal.cusum) dal.mosum <- monitor(dal.mosum) ## monitoring of LU series x <- as.vector(stock.returns[, "LU"][1:28]) lu.cusum <- mefp(x ~ 1, type = "OLS-CUSUM", border = myborder) lu.mosum <- mefp(x ~ 1, type = "OLS-MOSUM", h = 0.5, period = 4) x <- as.vector(stock.returns[, "LU"]) lu.cusum <- monitor(lu.cusum) lu.mosum <- monitor(lu.mosum) ## pretty plotting ## (needs some work because lm() does not keep "zoo" attributes) cus.bound <- zoo(c(rep(NA, 27), myborder(28:102)), index(stock.returns)) mos.bound <- as.vector(boundary(dal.mosum)) mos.bound <- zoo(c(rep(NA, 27), mos.bound[1], mos.bound), index(stock.returns)) ## Lucent Technologies: CUSUM test plot(zoo(c(lu.cusum$efpprocess, lu.cusum$process), index(stock.prices)), ylim = c(-1, 1) * coredata(cus.bound)[102], xlab = "Time", ylab = "empirical fluctuation process") abline(0, 0) abline(v = as.Date("2001-09-10"), lty = 2) lines(cus.bound, col = 2) lines(-cus.bound, col = 2) ## Lucent Technologies: MOSUM test plot(zoo(c(lu.mosum$efpprocess, lu.mosum$process), index(stock.prices)[-(1:14)]), ylim = c(-1, 1) * coredata(mos.bound)[102], xlab = "Time", ylab = "empirical fluctuation process") abline(0, 0) abline(v = as.Date("2001-09-10"), lty = 2) lines(mos.bound, col = 2) lines(-mos.bound, col = 2) ## Delta Air Lines: CUSUM test plot(zoo(c(dal.cusum$efpprocess, dal.cusum$process), index(stock.prices)), ylim = c(-1, 1) * coredata(cus.bound)[102], xlab = "Time", ylab = "empirical fluctuation process") abline(0, 0) abline(v = as.Date("2001-09-10"), lty = 2) lines(cus.bound, col = 2) lines(-cus.bound, col = 2) ## Delta Air Lines: MOSUM test plot(zoo(c(dal.mosum$efpprocess, dal.mosum$process), index(stock.prices)[-(1:14)]), ylim = range(dal.mosum$process), xlab = "Time", ylab = "empirical fluctuation process") abline(0, 0) abline(v = as.Date("2001-09-10"), lty = 2) lines(mos.bound, col = 2) lines(-mos.bound, col = 2)
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