Ortalama kare tahmin hataları

GJR GARCH modeli, GARCH modelinin bir genellemesidir. Bu yüzden Ortalama Kare Hata (MSE) açısından daha iyi bir uyum sağlaması beklenir. Bunu, standart GARCH(1,1) modeliyle yapılan tahmine karşılık gelen garchfit ve GJR modelinin kullanıldığı gjrfit için Microsoft getirilerinde msftret üzerinde doğrulayalım. Ortalama için tahmin hataları vektörü \(e\)'yi residuals() yöntemiyle hesaplayabileceğini unutma. Varyans için tahmin hatası, \(e^2\) ile tahmin edilen GARCH varyansı arasındaki farka eşittir.

Bu egzersiz

R'de GARCH Modelleri

kursunun bir parçasıdır

Kursu Görüntüle

Egzersiz talimatları

residuals() yöntemini kullanarak ortalamalar için tahmin hataları vektörünü hesapla.
garchfit tahmin çıktısı için MSE hesaplama kodunu tamamla.
gjrfit tahmin çıktısı için MSE'yi hesapla.

Uygulamalı interaktif egzersiz

Bu örnek kodu tamamlayarak bu egzersizi bitirin.

# Compute prediction errors
garcherrors <- ___(garchfit)
gjrerrors  <- ___(gjrfit)

# Compute MSE for variance prediction of garchfit model
___((___(garchfit)___ - garcherrors^2)___)

# Compute MSE for variance prediction of gjrfit model
___

Kodu Düzenle ve Çalıştır

Bu egzersiz

R'de GARCH Modelleri

kursunun bir parçasıdır

AvançadoNível de habilidade

4.8+

Kursa Ücretsiz Başlayın

We start off by making our hands dirty. A rolling window analysis of daily stock returns shows that its standard deviation changes massively through time. Looking back at the past, we thus have clear evidence of time-varying volatility. Looking forward, we need to estimate the volatility of future returns. This is essentially what a GARCH model does! In this chapter, you will learn the basics of using the rugarch package for specifying and estimating the workhorse GARCH(1,1) model in R. We end by showing its usefulness in tactical asset allocation.

Exercise 1: Analyzing volatility Exercise 2: Computing returns Exercise 3: Standard deviation on subsamples Exercise 4: Roll, roll, roll Exercise 5: The GARCH equation for volatility prediction Exercise 6: GARCH(1,1) reaction to one-off shocks Exercise 7: Prediction errors Exercise 8: The recursive nature of the GARCH variance Exercise 9: The rugarch package Exercise 10: Specify and taste the GARCH model flavors Exercise 11: Out-of-sample forecasting Exercise 12: Volatility targeting in tactical asset allocation

Markets take the stairs up and the elevator down. This Wallstreet wisdom has important consequences for specifying a realistic volatility model. It requires to give up the assumption of normality, as well as the symmetric response of volatility to shocks. In this chapter, you will learn about GARCH models with a leverage effect and skewed student t innovations. At the end, you will be able to use GARCH models for estimating over ten thousand different GARCH model specifications.

Exercise 1: Non-normality of standardized returns Exercise 2: Skewed student t distribution parameters Exercise 3: Estimation of non-normal GARCH model Exercise 4: Standardized returns Exercise 5: Leverage effect Exercise 6: News impact curve Exercise 7: Estimation of GJR garch model Exercise 8: Mean model Exercise 9: Predicting returns Exercise 10: The AR(1)-GJR GARCH dynamics of MSFT returns Exercise 11: Effect of mean model on volatility predictions Exercise 12: Avoid unnecessary complexity Exercise 13: Modeling choices Exercise 14: Fixing GARCH parameters Exercise 15: Parameter bounds and impact on forecasts Exercise 16: Variance targeting

GARCH models yield volatility forecasts which serve as input for financial decision making. Their use in practice requires to first evaluate the goodness of the volatility forecast. In this chapter, you will learn about the analysis of statistical significance of the estimated GARCH parameters, the properties of standardized returns, the interpretation of information criteria and the use of rolling GARCH estimation and mean squared prediction errors to analyze the accuracy of the volatility forecast.

Exercise 1: İstatistiksel anlamlılık Exercise 2: Anlamlılık testi Exercise 3: Tahmin çıktısını analiz etmek Exercise 4: EUR/USD getirileri için daha iyi bir model Exercise 5: Uygunluk iyiliği Exercise 6: Sadelik (Parsimony)Exercise 7: Ortalama kare tahmin hataları

Geçerli Egzersiz

Exercise 8: Olasılık ve bilgi kriterlerini karşılaştırma Exercise 9: Mutlak standartlaştırılmış getirilerin teşhisi Exercise 10: GARCH model varsayımlarının doğrulanması Exercise 11: Korrelogram ve Ljung-Box testi Exercise 12: Tahmin örneklemini değiştir Exercise 13: ugarchroll ile geriye dönük test Exercise 14: ugarchroll argümanları Exercise 15: Örnek içi ve yuvarlanan örnek oynaklığı Exercise 16: At yarışı

At this stage, you master the standard specification, estimation and validation of GARCH models in the rugarch package. This chapter introduces specific rugarch functionality for making value-at-risk estimates, for using the GARCH model in production and for simulating GARCH returns. You will also discover that the presence of GARCH dynamics in the variance has implications for simulating log-returns, the estimation of the beta of a stock and finding the minimum variance portfolio.

Exercise 1: Value-at-risk Exercise 2: VaR plot Exercise 3: Comovement between predicted vol and VaR Exercise 4: Sensitivity of coverage to distribution model Exercise 5: For production and simulation Exercise 6: Actual versus simulated returns Exercise 7: Use in production Exercise 8: Use in simulation Exercise 9: Model risk Exercise 10: Robustniks Exercise 11: Starting values Exercise 12: GARCH covariance Exercise 13: Estimation of beta Exercise 14: Minimum variance portfolio weights Exercise 15: GARCH & Co Exercise 16: Congratulations