A Stochastic Monetary Policy Interest Rate Model

Author(s):  
Claudio Albanese ◽  
Manlio Trovato
Author(s):  
Udeme O. Ini ◽  
Obinichi C. Mandah ◽  
Edikan E. Akpanibah

This paper studies the optimal investment plan for a pension scheme with refund of contributions, stochastic salary and affine interest rate model. A modified model which allows for refund of contributions to death members’ families is considered. In this model, the fund managers invest in a risk free (treasury) and two risky assets (stock and zero coupon bond) such that the price of the risky assets are modelled by geometric Brownian motions and the risk free interest rate is of affine structure. Using the game theoretic approach, an extended Hamilton Jacobi Bellman (HJB) equation which is a system of non linear PDE is established. Furthermore, the extended HJB equation is then solved by change of variable and variable separation technique to obtain explicit solutions of the optimal investment plan for the three assets using mean variance utility function. Finally, theoretical analyses of the impact of some sensitive parameters on the optimal investment plan are presented.


2021 ◽  
Author(s):  
Brennan Scott Thompson

Nonparametric estimation and specification testing of a two-factor interest rate model


2018 ◽  
Vol 45 (6) ◽  
pp. 1159-1174 ◽  
Author(s):  
Gabriel Caldas Montes ◽  
Cristiane Gea

Purpose The evidence concerning the effects of the inflation targeting (IT) regime as well as greater central bank transparency on monetary policy interest rates is not conclusive, and the following questions remain open. What is the effect of adopting IT on both the level and volatility of monetary policy interest rate? Does central bank transparency affect the level of the monetary policy interest rate and its volatility? Are these effects greater in developing countries? The purpose of this paper is to contribute to the literature by answering these questions. Hence, the paper analyzes the effects of IT and central bank transparency on monetary policy. Design/methodology/approach The analysis uses a sample of 48 countries (31 developing) comprising the period between 1998 and 2014. Based on panel data methodology, estimates are made for the full sample, and then for the sample of developing countries. Findings Countries that adopt the IT regime tend to have lower levels of monetary policy interest rates, as well as lower interest rate volatility. The effect of adopting IT on both the level and volatility of the basic interest rate is smaller in developing countries. Besides, countries with more transparent central banks have lower levels of monetary policy interest rates, as well as lower interest rate volatility. In turn, the effect of central bank transparency on both the level and volatility of the basic interest rate is greater in developing countries. Practical implications The study brings important practical implications regarding the influence of both the IT regime and central bank transparency on monetary policy. Originality/value Studies have sought to analyze whether IT and central bank transparency are effective to control inflation. However, few studies analyze the influence of IT and central bank transparency on interest rates. This study differs from the few existing studies since: the analysis is done not only for the effect of transparency on the level of the monetary policy interest rate, but also on its volatility; the central bank transparency index that is used has never been utilized in this sort of analysis; and the study uses panel data methodology, and compares the results between different samples.


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