Exchange Rates and Fundamentals: A General Equilibrium Exploration

Engel and West (2005) show that the observed near random‐walk behavior of nominal exchange rates is an equilibrium outcome of a partial equilibrium asset approach when economic fundamentals follow exogenous first‐order integrated processes and the discount factor approaches one. In this paper, I argue that the unit market discount factor creates a theoretical trade‐off within a two‐country general equilibrium model. The unit discount factor generates near random‐walk nominal exchange rates, but it counterfactually implies perfect consumption risk sharing and flat money demand. Bayesian posterior simulation exercises, based on post‐Bretton Woods data from Canada and the United States, reveal difficulties in reconciling the equilibrium random‐walk proposition within the canonical model; in particular, the market discount factor is identified as being much smaller than one. A relative money demand shock is identified as the main driver of nominal exchange rates.     

Pulling up the tarnished anchor: The end of silver as a global unit of account

We use the demise of silver-based standards in the 19th century to explore price dynamics when a commodity-based money ceases to function as a global unit of account. We develop a general equilibrium model of the global economy with gold and silver money. Calibration of the model shows that silver ceased functioning as a global price anchor in the mid-1890s—the price of silver is positively correlated with agricultural commodities through the mid-1890s, but not thereafter. In contrast to Fisher (1911) and Friedman (1990), both of whom predict greater price stability under bimetallism, our model suggests that a global bimetallic system, in which the gold price of silver fluctuates, has higher price volatility than a global monometallic system. We confirm this result using agricultural commodity price data for 1870–1913.     

Real Balance Effects,Timing, and Equilibrium Determination

By assuming that money balances at the beginning instead of at the end of the period provide transaction services, standard results on nominal and real determinacy in monetary models are overturned. The key is that predetermined real money balances can be a state variable. Whereas the determination of the absolute price level typically depends on fiscal policy under an exogenous interest setting, nominal determinacy is now achieved even when fiscal policy is Ricardian. Also, in contrast to the Taylor principle, the interest rate policy should respond passively to changes in inflation, thus ensuring nonoscillatory and locally stable equilibrium sequences.     

Price‐Level Targeting and Stabilization Policy

We construct a dynamic stochastic general equilibrium model to study optimal monetary stabilization policy. Prices are fully flexible and money is essential for trade. Our main result is that if the central bank pursues a price‐level target, it can control inflation expectations and improve welfare by stabilizing short‐run shocks to the economy. The optimal policy involves smoothing nominal interest rates that effectively smooths consumption across states.     

Money, banking, and monetary policy

An important function of banks is to issue liabilities, like demand deposits, that are relatively safe and liquid. We introduce a risk of theft and a safe-keeping role for banks into modern monetary theory. This provides a general equilibrium framework for analyzing banking in historical and contemporary contexts. The model can generate the concurrent circulation of cash and bank liabilities as media of exchange, or inside and outside money. It also yields novel policy implications. For example, negative nominal interest rates are feasible, and for some parameters optimal; for other parameters, strictly positive nominal rates are optimal.     

The Phillips curve under state-dependent pricing

We derive a Phillips curve equation from the dynamic stochastic general equilibrium (DSGE) model with state-dependent pricing developed by Dotsey et al. [1999. State-dependent pricing and the general equilibrium dynamics of money and output. Quarterly Journal of Economics 114, 655-690]. This state-dependent Phillips curve encompasses the new Keynesian Phillips curve (NKPC) based on Calvo-type price setting as a special case. We analyze the effect of the state-dependent terms (that is, the variations in the distributions of price vintages) on inflation persistence, and we examine whether the hybrid NKPC (that is, the NKPC extended by a lagged inflation term) can adequately describe inflation dynamics generated in a calibrated state-dependent pricing economy.     

Taxation and the Taylor principle

A nominal tax system is added to a sticky-price monetary business cycle model. When nominal interest income is taxed, the coefficient on inflation in a Taylor-type monetary policy rule must be significantly larger than one in order for the model economy to have a determinate rational-expectations equilibrium. When effective tax rates are raised by inflation, the stability of the economy's equilibrium can be adversely affected. Finally, when depreciation is treated as a charge against taxable income, an even larger weight on inflation is required in the Taylor rule in order to obtain a determinate and stable equilibrium.     

Money as stock

The fiscal theory determines the price level from the value of nominal government debt as a claim to government primary surpluses, just as private stock is valued as a claim to corporate profits. Valuation equations are not constraints, so this theory does not mistreat the government's intertemporal budget constraint. I anchor the analysis in a simple cash in advance model. When money demand falls to zero, I show that the price level can still be determined by the government debt valuation equation.     

General equilibrium real and nominal interest rates

We derive the general equilibrium short-term real and nominal interest rates in a monetary economy affected by technological and monetary shocks and where the price level dynamics is endogenous. Assuming fairly general processes for technology and money supply, we show that an inherent feature of our equilibrium is that any real variable dynamics, in particular that of the short-term real interest rate, is driven by both monetary and real factors. This money non-neutrality is generic, as it does not stem from any friction such as price stickiness, or from a particular utility function. Non-neutrality obtains because the ex ante cost of real money holdings is random due to inflation uncertainty. We then analyze in depth a specialized version of this economy in which the state variables follow square root processes, and the representative investor has a log separable utility function. The short-term nominal rate dynamics we obtain encompasses most of the dynamics present in the literature, from Vasicek and CIR to recent quadratic and, more generally, non-linear interest rate models. Moreover, our results pave the way to several new nominal term structures.     

How Robust Are Popular Models of Nominal Frictions?

We consider alternative combinations of nominal price and wage frictions in dynamic stochastic general equilibrium models fit to U.S. data. Since inflation was unanchored in the 1970s, we divide the data into early, middle, and late samples (1955–68, 1969–79, and 1983–2007, respectively). We find that prices are reoptimized more frequently and exhibit greater indexation to past inflation in the middle sample than in the other two samples, while wages are reoptimized with increasing frequency and display less evidence of indexation over time. Differences in price and wage setting across samples have important implications for the economy's response to key shocks.     

Habit formation and the persistence of monetary shocks

The dynamic effects and relative importance of monetary shocks in the US business cycle are studied using a sticky-price dynamic stochastic general equilibrium model with habit formation and capital adjustment costs. The model is estimated via maximum likelihood using data on output, real money balances, and the nominal interest rate. Econometric results indicate that the model has a strong internal propagation mechanism that can explain the persistent and hump-shaped response of US output and consumption to monetary shocks.     

The high-frequency impact of news on long-term yields and forward rates: Is it real?

Macroeconomic news announcements move yields and forward rates on nominal and index-linked bonds and inflation compensation. This paper estimates the reactions using high-frequency data on nominal and index-linked bond yields, allowing the effects of news announcements on real rates and inflation compensation to be parsed far more precisely than is possible using daily data. Long-term nominal yields and forward rates are very sensitive to macroeconomic news announcements. Inflation compensation is sensitive to announcements about price indices and monetary policy. However, for news announcements about real economic activity, such as nonfarm payrolls, the vast majority of the sensitivity is concentrated in real rates. Accordingly, most of the sizeable impact of news about real economic activity on the nominal term structure of interest rates represents changes in expected future real short-term interest rates and/or real risk premia rather than changes in expected future inflation and/or inflation risk premia. Such sensitivity of real rates to macroeconomics news is hard to rationalize within the framework of existing macroeconomic models.     

Efficient monetary allocations and the illiquidity of bonds

We construct a monetary economy with heterogeneity in discounting and consumption risk. Agents can insure against this risk with money and nominal government bonds, but all trades must be monetary. We demonstrate that a deflationary policy à la Friedman cannot sustain the constrained-efficient allocation as no-arbitrage imposes too stringent a bound on the return money can pay. The constrained-efficient allocation can be sustained when bonds have positive yields and, under certain conditions, only if they are illiquid. Illiquidity, meaning that bonds cannot be transformed into consumption as easily as cash, is necessary to eliminate arbitrage opportunities due to disparities in shadow interest rates.     

The Role of Money in Monetary Policy at the Lower Bound

In light of the current low-interest-rate environment, we reconsider the merits of strict money growth targeting (MGT) relative to conventional inflation targeting (IT) and to price level targeting (PLT). We evaluate these policies in terms of social welfare through the lens of a New Keynesian model and accounting for a zero lower bound (ZLB) constraint on the nominal interest rate. Although MGT makes monetary policy vulnerable to money demand shocks, MGT contributes to achieving price level stationarity and significantly reduces the incidence and severity of the ZLB relative to both IT and PLT. Furthermore, MGT lessens the need for fiscal expansions to supplement monetary policy in fighting recessions.     

A fundamental theory of exchange rates and direct currency trades

In this paper we construct a two-country search model to determine the nominal exchange rate between two fiat monies. Our model allows agents to use any currency to trade for goods in all countries. However, search frictions restrict agents’ opportunities for instantaneous arbitrage, and hence make the nominal exchange rate determinate. The nominal exchange rate depends on the two countries’ economic fundamentals, including the stocks and growth rates of the two monies. Direct exchanges between currencies are essential and they imply a nominal exchange rate that is different from the relative price between the two currencies in the goods markets. There are persistent violations of the law of one price and purchasing power parity in equilibrium, despite the fact that prices are perfectly flexible and all goods are tradeable between countries. Nominal and real exchange rates can move together in the steady state in response to money growth shocks.     

Money,Asset Prices,and the Liquidity Premium

This paper examines the effect of monetary policy on the market value of the liquidity services that financial assets provide, known as the liquidity premium. The theory predicts that money supply and nominal interest rates have positive effects on the liquidity premium, but asset supply has a negative effect. The empirical analysis with U.S. data confirms the theoretical predictions. The theory also proposes that the liquidity properties of assets can cause negative nominal yields when the money holding cost is low and liquid assets are scarce. The suggestive empirical findings in Switzerland to support this theoretical result are presented.     

A model of money with multilateral matching

We develop a model of decentralized monetary exchange to examine the distributional effects of inflation across heterogeneous agents. The agents have private information about their productivity, preferences, or money holdings. Matching is multilateral and each seller is visited by a stochastic number of buyers. The good is allocated according to a second-price auction in money. In equilibrium, homogeneous buyers hold different amounts of money leading to price dispersion. We find the closed-form solution for the distribution of money holdings. Entry of sellers is suboptimal except at the Friedman rule. Inflation acts as a regressive tax.     

Risk Premium Shocks and the Zero Bound on Nominal Interest Rates

Quantitative dynamic stochastic general equilibrium (DSGE) models often admit that the zero bound on nominal interest rates does not constrain (optimal) monetary policy. Recent economic events, however, have reinforced the relevance of the zero bound. This paper sheds some light on this disconnect by studying a broad range of shocks within a standard DSGE model. In contrast to earlier studies, we find that risk premium shocks are key to building quantitative models where the zero bound is relevant for monetary policy design. Other commonly included shocks, such as productivity, government spending, and money demand shocks, are unable to push nominal rates close to zero.     

Optimal fiduciary monetary systems

In a fiduciary monetary system, there is a social agreement to quote prices and denominate financial instruments in terms of a specific paper liability of the government. What are the best terms for this paper instrument? I investigate a system where the terms involve not only paying market interest rate on the monetary instrument, as proposed by many economists earlier, but also indexing the returns to the price level. The result is a homeostatic monetary system with a highly stable price level in the face of shifts in money demand and other disturbing influences. The paper examines the performance of the new fiduciary standard in equilibrium and disequilibrium models.     

Payments systems and monetary policy

A dynamic spatial model is constructed where there is a role for money and for centralized payments arrangements, and where there are aggregate fluctuations driven by fluctuations in aggregate productivity. With decentralized monetary exchange and no centralized payments arrangements, there is price level indeterminacy, and the equilibrium allocation is inefficient. A private clearinghouse arrangement improves efficiency but produces a real indeterminacy. The pricing of daylight overdrafts is irrelevant for the equilibrium allocation. Efficiency is achieved with a zero nominal interest rate on overnight central bank lending, or through private overnight interbank lending.