Models
Value-at-Risk models currently available:
Historical Simulation
ValueAtRisk.HistoricalSimulationVaR
— TypeHistoricalSimulationVaR{T} <: VaRModel{T}
A naive Historical Simulation approach in which the VaR estimates is the corresponding quantile of the empirical distribution of returns
EWMA Scaled/Filtered Historical Simulation
ValueAtRisk.EWMAHistoricalSimulationVaR
— TypeEWMAHistoricalSimulationVaR{T} <: VaRModel{T}
A scaled/filtered Historical Simulation technique in which conditional volatility is calculated using an Exponentially Weighted Moving Average scheme
(GARCH) Filtered Historical simulation*
ValueAtRisk.FilteredHistoricalSimulationVaR
— TypeFilteredHistoricalSimulationVaR{T} <: VaRModel{T}
A technique which fits an ARCHModel
to the data and forecasts VaR by combining the one-step ahead conditional mean estimate of the model and the quantile of the empirical distributions of the standardized residuals of our data scaled by the one-step ahead conditional volatility estimate
EWMA RiskMetrics approach
ValueAtRisk.EWMARiskMetricsVaR
— TypeEWMARiskMetricsVaR{T} <: VaRModel{T}
The RiskMetrics approach to forecasting Value-at-Risk according to which our data is assumed to be normally distributed with mean zero and conditional volatility calculated based on an Exponentially Weighted Moving Average approach
CAViaR (adaptive,symmetric absolute value, asymmetrics slope)
ValueAtRisk.CAViaR_ad
— TypeCAViaR_ad{T} <: CAViaR{T}
Engle and Manganelli's Conditionally Autoregressive Value at Risk, adaptive
ValueAtRisk.CAViaR_sym
— TypeCAViaR_sym{T} <: CAViaR{T}
Engle and Manganelli's Conditionally Autoregressive Value at Risk, symmetric absolute value
ValueAtRisk.CAViaR_asym
— TypeCAViaR_asym{T} <: CAViaR{T}
Engle and Manganelli's Conditionally Autoregressive Value at Risk, asymmetric slope
ARCH models*
ValueAtRisk.ARCHVaR
— TypeARCHVaR{T} <: VaRModel{T}
Estimate VaR using an autoregressive conditional heteroskedasticity model
Extreme Value Theory
ValueAtRisk.ExtremeValueTheoryVaR
— TypeExtremeValueTheoryVaR{T} <: VaRModel{T}
A VaR forecasting technique that makes use of Peaks Over Theshold technique which originates in Extreme Value Theory
Filtered Extreme Value Theory*
ValueAtRisk.FilteredExtremeValueTheoryVaR
— TypeFilteredExtremeValueTheoryVaR{T} <: VaRModel{T}
A technique which fits an ARCHModel
to the data and forecasts VaR by finding the quantile function of the innovation terms using Extreme Value Theory the standardized residuals. The VaR forecast combines the one-step ahead conditional mean estimate of the model and the result of the quantile function of the innovation terms scaled by the one-step ahead conditional volatility estimate
For models marked with *
an ARCH dynamics specification may be supplied: ARCHSpec