以下是使用R语言求解ARCH类模型的程序:
### 加载所需的包
library(tseries)
library(rugarch)
### 读取数据
data <- read.csv("data.csv", header = TRUE)
### 将数据转换为时间序列对象
ts_data <- ts(data$returns, start = c(2000, 1), frequency = 12)
### 建立ARCH模型
arch_spec <- ugarchspec(variance.model = list(model = "ARCH", archOrder = 1), mean.model = list(armaOrder = c(0, 0)))
arch_fit <- ugarchfit(spec = arch_spec, data = ts_data)
summary(arch_fit)
### 建立GARCH模型
garch_spec <- ugarchspec(variance.model = list(model = "sGARCH", garchOrder = c(1, 1)), mean.model = list(armaOrder = c(0, 0)))
garch_fit <- ugarchfit(spec = garch_spec, data = ts_data)
summary(garch_fit)
### 建立TARCH模型
tarch_spec <- ugarchspec(variance.model = list(model = "sGARCH", garchOrder = c(1, 1)), mean.model = list(armaOrder = c(0, 0)), distribution.model = "std")
tarch_fit <- ugarchfit(spec = tarch_spec, data = ts_data)
summary(tarch_fit)
### 建立EGARCH模型
egarch_spec <- ugarchspec(variance.model = list(model = "eGARCH", garchOrder = c(1, 1)), mean.model = list(armaOrder = c(0, 0)), distribution.model = "std")
egarch_fit <- ugarchfit(spec = egarch_spec, data = ts_data)
summary(egarch_fit)
### 建立TGARCH模型
tgarch_spec <- ugarchspec(variance.model = list(model = "sGARCH", garchOrder = c(1, 1)), mean.model = list(armaOrder = c(0, 0)), distribution.model = "std", fixed.pars = list(tau1 = 0.1, tau2 = -0.1))
tgarch_fit <- ugarchfit(spec = tgarch_spec, data = ts_data)