Stokastik Faiz Oranı Modelleri (CIR / Vasicek) ile Faiz Oranlarının Modellenmesi ve Getiri Eğrisi Tahmini

Abstract

Bu çalışmada stokastik diferansiyel denklemlerine dayanan Vasicek ve CIR modelleri gösterge faiz oranına uygulanarak, modellerin faiz oranı öngörü performansları incelenmiş, getiri eğrisi ve forward verim eğrisi tahmin edilmiştir. Analizler tüm dönemin yanı sıra ICSS algoritmasına bağlı olarak belirlenen farklı volatilite dönemleri dikkate alınarak da yapılmıştır. Modellerin performanslarının analizinde RMSE, ME, MSE, MAE, MAPE ve Theil’s U kriterlerinden yararlanılmıştır. Bulgular, belirgin bir şekilde CIR modelinin performansının Vasicek modelinin performansından daha iyi olduğu sonucuna işaret etmektedir. Çalışma bulgularının para politikası uygulamaları, sabit getirili finansal varlıkların fiyatlanması ve getiri eğrilerinin tahmini gibi konular açısından oldukça önemli bilgiler sunduğu düşünülmektedir.

Keywords

• Getiri eğrisi tahmini
• CIR modeli
• Vasicek modeli
• Stokastik diferensiyel denklemler

Modelling Interest Rates, and Forecasting the Yield Curve with Stochastic Interest Rate Models (CIR and Vasicek)

Abstract

In this study, the CIR and Vasicek models, both of which are based on stochastic differential equations, are applied to benchmark government bond interest rates. After this, the interest rate forecasting performances of these models are examined for whole periods as well as for sub-periods determined based on the ICSS algorithm. RMSE, MSE, MAE, ME, and MAPE loss functions along with Theil’s U method are used to analyse the forecasting performances of the models. The results show that the CIR model performs better than the Vasicek model. The findings of the study have important implications for monetary policy applications, fixed income security valuations, and yield curve estimations.

Keywords

• Yield curve estimation
• CIR model
• Vasicek model
• Stochastic differential equations

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