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I study how the zero bound on nominal interest rates affects optimal discretionary monetary policy within the standard New Keynesian framework. I find that the non-negativity constraint implies an optimal policy which is more expansionary and more aggressive near the zero bound compared to the optimal rule, which ignores this constraint. This "precautionary loosening" of monetary policy when the risk of deflation is high is required to offset the negative effect of private sector expectations on the current output gap and inflation. The effect is found to be quantitatively significant and to increase with the variance and persistence of the natural real interest rate.
This paper characterizes the optimal monetary policy reaction function in the presence of a zero lower bound on the nominal interest rate. We analytically prove and numerically show that the function is highly nonlinear, more expansionary, and more aggressive than the Taylor rule. We then test its empirical validity taking the case of Japan in the 1990s. Qualitatively, we find some evidence of nonlinear monetary policy. Quantitatively, we find the actual monetary policy to be too contractionary during the first half of the decade, while the low interest policy during the latter half turns out to be fairly consistent with the simulated path.
Central banks around the world try to influence economic activity by altering nominal interest rates which will have an effect on the real rate. However, this is only possible as long as interest rates are above zero. The case of Japan showed that monetary policy was helpless as nominal rates approached zero. This Book starts with an overview of monetary policy with the restriction that interest rates can not fall below zero. Then optimal monetary policy in a low inflation environment is treated. This is done by using a New Keynesian model with sticky prices. Therefore the model and the necessary optimality conditions will be derived (this will be done extensively in the appendix). After deriving the optimality conditions it will be shown how optimal monetary policy will be conducted. To evaluate the outcome of monetary policy a welfare function will be derived. It will be shown how the welfare function to evaluate the outcome of monetary policy is derived from the utility function of the household. As a result it will be shown that a price level target is welfare maximizing although most central banks nowadays use an inflation target instead. Reasons for an inflation target will be shown in the discussion of the model. The second part of the book describes the inflation dynamics in the euro area to see what monetary authority shall do to prevent the economy from falling into the vicious circle of deflation. Two wage contracting models that describe inflation dynamics in the euro area reasonably well will be explained, the Fuhrer-Moore und the Taylor contracting. After showing the optimal policy it will be discussed how severe the zero bound in the euro area is and what policy alternatives are left when monetary policy is restricted. Finally the results obtained will be discussed to see the pitfalls of price level targeting. The large appendix provides the complete derivation of the model and the optimality conditions.
The success over the years in reducing inflation and, consequently, the average level of nominal interest rates has increased the likelihood that the nominal policy interest rate may become constrained by the zero lower bound. When that happens, a central bank can no longer stimulate aggregate demand by further interest-rate reductions and must rely on "non-standard" policy alternatives. To assess the potential effectiveness of such policies, we analyze the behavior of selected asset prices over short periods surrounding central bank statements or other types of financial or economic news and estimate "noarbitrage" models of the term structure for the United States and Japan. There is some evidence that central bank communications can help to shape public expectations of future policy actions and that asset purchases in large volume by a central bank would be able to affect the price or yield of the targeted asset.
We consider the consequences for monetary policy of the zero floor for nominal interest rates. The zero bound can be a significant constraint on the ability of a central bank to combat deflation. We show, in the context of an intertemporal equilibrium model, that open-market operations, even of unconventional' types, are ineffective if they do not change expectations about the future conduct of policy; in this sense, a liquidity trap' is possible. Nonetheless, a credible commitment to the right sort of history-dependent policy can largely mitigate the distortions created by the zero bound. In our model, optimal policy involves a commitment to adjust interest rates so as to achieve a time-varying price-level target, when this is consistent with the zero bound. We also discuss ways in which other central-bank actions, while irrelevant apart from their effects on expectations, may help to make credible a central bank's commitment to its target, and consider implications for the policy options currently available for overcoming deflation in Japan