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Arunima Sinha

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"Learning and the Yield Curve"  (Download PDF)

Abstract: Two central implications of the Expectations Hypothesis under rational expectations are inconsistent with yield curve data: (i) future expected long yields fall, instead of rising, when the yield spread rises, and (ii) long yields are excessively volatile with respect to short yields. I document these puzzles in the U.S. and the U.K. data, for different sub-samples, and for both real and nominal yields. I then propose a micro-founded optimization framework in which boundedly rational agents use adaptive learning to form expectations. The model is successful on both dimensions. First, the belief structure rationalizes the pattern of yields observed in the data so that the first puzzle does not hold with subjective instead of rational expectations. In particular, intertemporal income and substitution effects are amplified relative to the rational expectations case, causing expected long yields to rise when the yield spread falls. The second puzzle is partly accounted for by the extra volatility due to parameter uncertainty. These results suggest that it is the assumption of rational expectations that is at odds with the data, not the (subjective) Expectations Hypothesis. In addition, I find that: the model generates systematic forecast errors in yields and inflation that are consistent with survey data; higher yield volatilities during different monetary policy regimes match the data; and fiscal policy affects the yield spread because Ricardian Equivalence no longer holds.

Works in Progress

Fiscal Policy and the Yield Curve

Abstract: I analyze the effects of fiscal policy on the yield curve. The empirical literature has been inconclusive about how long and short yields are affected by fiscal policy. For instance, while Engen and Hubbard (2004) find insignificant effects of government deficits on interest rates, Evans and Marshall (2002) find varying effects, depending on how the identification of fiscal shocks is constructed. These approaches, however, do not model the long end of the yield curve. I first use a structural VAR, following the identification scheme of Blanchard and Perotti (2004), to analyze the effects of government spending and taxes on the short and long ends of the yield curve for U.S. data. I then use a New Keynesian framework with adaptive learning in which the fiscal authority issues riskless bonds of all maturities in non-zero net supply. Ricardian Equivalence no longer holds – out of the rational expectations equilibrium, an individual household may not recognize that its tax obligations are the same as all other households, and that the present value of government debt must equal the discounted sum of tax obligations. I find that a positive deficit shock increases the short yields, and as the rise in long yields is smaller, the yield spread declines on impact.

Is Ricardian Equivalence Learnable?”

Abstract: In this paper, I ask the following question: when optimizing agents’ expectations deviate from rational expectations, does the canonical model of fiscal policy, Ricardian equivalence, hold? This paper illustrates that when expectations are formed using adaptive learning, it does, for several fiscal policy specifications. In a real exchange economy, as long as the steady state level of taxes is not too high relative to output, Ricardian equivalence is obtained. When nominal rigidities are introduced via Calvo pricing, Ricardian equivalence is consistent with the standard monetary and fiscal policy specifications.

 

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