Can Information Heterogeneity Explain the Exchange Rate Determination Puzzle?

Empirical evidence shows that macroeconomic fundamentals have little explanatory power for nominal exchange rates. On the other hand, the recent microstructure approach to exchange rates' has shown that most exchange rate volatility at short to medium horizons is related to order flows. This suggests that investor heterogeneity might be key to understanding exchange rate dynamics, in contrast to the common representative agent approach in macroeconomic models of exchange rate determination. To explore this issue, we introduce investor heterogeneity into an otherwise standard monetary model of exchange rate determination. There are two types of heterogeneity: dispersed information about fundamentals and non-fundamentals based heterogeneity (e.g., liquidity traders). We show that information dispersion leads to magnification and endogenous persistence of the impact of non-fundamentals trade on the exchange rate rational confusion about the source of exchange rate fluctuations. Higher order expectations, familiar from Keynes' beauty contest', partly contribute to these results. The implications of the model are consistent with the evidence on the relationship between exchange rates and fundamentals: (i)fundamentals play little role in explaining exchange rate movements in the short to medium run, (ii) over longer horizons the exchange rate is primarily driven by fundamentals, (iii) exchange rate changes are a weak predictor of future fundamentals.

Higher Order Expectations in Asset Pricing

In this paper, we examine formally Keynes' idea that higher order beliefs can drive a wedge between an asset price and its fundamental value based on expected future payoffs. In a dynamic noisy rational expectations model, higher order expectations add an additional term, which we call the higher order wedge, to a standard asset pricing equation. Consistent with Keynes' reasoning we show that investment decisions are based not just on expected future payoffs, but also on anticipated future expectational errors made by the market. The latter are captured by the higher order wedge. We show that the expectation of future expectational errors by the market is perfectly rational when investors have both noisy public and private information. The main effect of this additional asset pricing term is to disconnect the price from the present value of future payoffs. We show that this effect can be quantitatively signiffcant.

A Theory of the Currency Denomination of International Trade

Nominal rigidities due to menu costs have become a standard element in closed economy macroeconomic modelling. The 'New Open Economy Macroeconomics' literature has investigated the implications of nominal rigidities in an open economy context and found that the currency in which prices are set has significant implications for exchange rate pass-through to import prices, the level of trade and net capital flows, and optimal monetary and exchange rate policy. While the literature has exogenously assumed in which currencies goods are priced, in this paper we solve for the equilibrium optimal pricing strategies of firms. We find that the higher the market share of an exporting country in an industry, and the more differentiated its goods, the more likely its exporters will price in the exporter's currency. Country size and the cyclicality of real wages play a role as well, but are empirically less important. We also show that when a set of countries forms a monetary union, the new currency is likely to be used more extensively in trade than the sum of the currencies it replaces.currency invoicing; new open economy macroeconomics

Can Information Heterogeneity Explain the Exchange Rate Determination Puzzle?

Empirical evidence shows that macroeconomic fundamentals have little explanatory power for nominal exchange rates. On the other hand, the recent "microstructure approach to exchange rates" has shown that most exchange rate volatility at short to medium horizons is related to order flows. This suggests that investors heterogeneity might be key to understanding exchange rate dynamics, in contrast to the common representative agent approach in macroeconomic models of exchange rate determination. To explore this issue, we introduce investor heterogeneity into an otherwise standard monetary model of exchange rate determination. There are two types of heterogeneity: dispersed information about fundamentals and non-fundamentals based heterogeneity (e.g., liquidity traders). We show that information dispersion leads to magnification and endogenous persistence of the impact of non-fundamentals trade on the exchange rate, both resulting from rational confusion about the source of exchange rate fluctuations. Higher order expectations, familiar from Keynes' "beauty contest", partly contribute to these results. The implications of the model are consistent with the evidence on the relationship between exchange rates and fundamentals: (i) fundamentals play little role in explaining exchange rate movements in the short to medium run, (ii) over longer horizons the exchange rate is primarily driven by fundamentals, (iii) exchange rate changes are a weak predictor for future fundamentals.

Rational Inattention: A Solution to the Forward Discount Puzzle

The uncovered interest rate parity equation is the cornerstone of most models in international macro. However, this equation does not hold empirically since the forward discount, or interest rate differential, is negatively related to the subsequent change in the exchange rate. This forward discount puzzle is one of the most extensively researched areas in international finance. It implies that excess returns on foreign currency investments are predictable. In this paper we propose a new explanation for this puzzle based on rational inattention. We develop a model where investors face a cost of collecting and processing information. Investors with low information processing costs trade actively, while other investors are inattentive and trade infrequently. We calibrate the model to the data and show that (i) inattention can account for most of the observed predictability of excess returns in the foreign exchange market, (ii) the benefit from frequent trading is relatively small so that few investors choose to be attentive, (iii) average expectational errors about future exchange rates are predictable in a way consistent with survey data for market participants, and (iv) the model can account for the puzzle of delayed overshooting of the exchange rate in response to interest rate shocks.forward discount puzzle; excess return predictability; rational

Modeling Exchange Rates with Incomplete Information

Recent research has shown that relaxing the assumptions of complete information and common knowledge in exchange rate models can shed light on a wide range of important exchange rate puzzles. In this chapter, we review a number of models we have developed in previous work that relax the strong assumptions on information. We also review some related literature.information heterogeneity; learning; infrequent decisions

Can Information Heterogeneity Explain the Exchange Rate Determination?

Empirical evidence shows that observed macroeconomic fundamentals have little explanatory power for nominal exchange rates (the exchange rate determination puzzle). On the other hand, the recent \microstructure approach to exchange rates" has shown that most exchange rate volatility at short to medium horizons is related to order flow. In this paper we introduce symmetric information dispersion about future fundamentals in a dynamic rational expectations model in order to explain these stylized facts. Consistent with the evidence the model implies that (i) observed fundamentals account for little of exchange rate volatility in the short to medium run, (ii) over long horizons the exchange rate is closely related to observed fundamentals, (iii) exchange rate changes are a weak predictor of future fundamentals, and (iv) the exchange rate is closely related to order flow over both short and long horizons.Nominal Exchange Rates; Order Flow; Higher Order Expectations

Why Do Consumer Prices React less than Import Prices to Exchange Rates ?

It is well known that the extent of pass-through of exchange rate changes to consumer prices is much lower than to import prices. One explanation is local distribution costs. Here we consider an alternative, complementary, explanation based on the optimal pricing strategies of firms. We consider a model where foreign exporting firms sell intermediate goods to domestic firms. Domestic firms assemble the imported intermediate goods and sell final goods to consumers. When domestic firms face significant competition from other domestic final goods producing sectors (e.g., the non-traded goods sector) we show that they prefer to price in domestic currency, while exporting firms tend to price in the exporter's currency. In that case the pass-through to import prices is complete, while the pass-through to consumer prices is zero.exchange rate pass-through; currency invoicing

Rational Inattention: A Solution to the Forward Discount Puzzle

The uncovered interest rate parity equation is the cornerstone of most models in international macro. However, this equation does not hold empirically since the forward discount, or interest rate differential, is negatively related to the subsequent change in the exchange rate. This forward discount puzzle is one of the most extensively researched areas in international finance. It implies that excess returns on foreign currency investments are predictable. In this paper we propose a new explanation for this puzzle based on rational inattention. We develop a model where investors face a cost of collecting and processing information. Investors with low information processing costs trade actively, while other investors are inattentive and trade infrequently. We calibrate the model to the data and show that (i) inattention can account for most of the observed predictability of excess returns in the foreign exchange market, (ii) the benefit from frequent trading is relatively small so that few investors choose to be attentive, (iii) average expectational errors about future exchange rates are predictable in a way consistent with survey data for market participants, and (iv) the model can account for the puzzle of delayed overshooting of the exchange rate in response to interest rate shocks.