Commodity Trade and the Carry Trade: A Tale of Two Countries

Persistent interest rate differentials account for much of the currency carry trade profitability. “Commodity currencies” offer high interest rates on average, while countries that export finished goods tend to have low interest rates. We develop a general equilibrium model of international trade and currency pricing where countries have an advantage in producing either basic inputs or final goods. In the model, domestic production insulates commodity‐producing countries from global productivity shocks, forcing final‐good producers to absorb them. Commodity‐currency exchange rates and risk premia increase with productivity differentials and trade frictions. These predictions are strongly supported in the data.     

Systematic consumption risk in currency returns

We sort currencies into portfolios by countries’ past consumption growth. The excess return of the highest- over the lowest-consumption-growth portfolio – our consumption carry factor – compensates for negative returns during world-wide downturns and prices the cross-section of portfolio-sorted and of bilateral currency returns. Empirically, sorting currencies on consumption growth is very similar to sorting currencies on interest rates. We interpret these stylized facts in a habit formation model: sorting currencies on past consumption growth approximates sorting on risk aversion. Low (high) risk-aversion currencies have high (low) interest rates and depreciate (appreciate) in times of global turmoil.     

Carry Trades and Global Foreign Exchange Volatility

We investigate the relation between global foreign exchange (FX) volatility risk and the cross section of excess returns arising from popular strategies that borrow in low interest rate currencies and invest in high interest rate currencies, so‐called “carry trades.” We find that high interest rate currencies are negatively related to innovations in global FX volatility, and thus deliver low returns in times of unexpected high volatility, when low interest rate currencies provide a hedge by yielding positive returns. Furthermore, we show that volatility risk dominates liquidity risk and our volatility risk proxy also performs well for pricing returns of other portfolios.     

Exchange Rates and the Conversion of Currency‐Specific Risk Premia

How do the risk factors that drive asset prices influence exchange rates? Are the parameters of asset price processes relevant for specifying exchange rate processes? Most international asset pricing models focus on the analysis of asset returns given exchange rate processes. Little work has been done on the analysis of exchange rates dependent on asset returns. This paper uses an international stochastic discount factor (SDF) framework to analyse the interplay between asset prices and exchange rates. So far, this approach has only been implemented in international term structure models. We find that exchange rates serve to convert currency‐specific discount factors and currency‐specific prices of risk – a result linked to the international arbitrage pricing theory (IAPT). Our empirical investigation of exchange rates and stock markets of four countries presents evidence for the conversion of currency‐specific risk premia by exchange rates.     

Dollarization and currency exchange

We use a dual currency money search model to study dollarization. Agents hold portfolios consisting of two currencies, one of which is risky. We use numerical methods to solve for the steady-state distributions of currency portfolios, transaction patterns, and value functions. As risk increases, agents increasingly use the safe currency as a medium of exchange—dollarization occurs. Furthermore, the safe currency trades for multiple units of the risky currency. This type of currency exchange, and the corresponding nominal exchange rate, are often observed in black market or unofficial currency exchange markets in developing countries. Due to decentralized trading, a distribution of exchange rates arises, whose mean and variance change in predictable ways when currency risk increases.     

Conditional risk premia in currency markets and other asset classes

The downside risk capital asset pricing model (DR-CAPM) can price the cross section of currency returns. The market-beta differential between high and low interest rate currencies is higher conditional on bad market returns, when the market price of risk is also high, than it is conditional on good market returns. Correctly accounting for this variation is crucial for the empirical performance of the model. The DR-CAPM can jointly rationalize the cross section of equity, equity index options, commodity, sovereign bond and currency returns, thus offering a unified risk view of these asset classes. In contrast, popular models that have been developed for a specific asset class fail to jointly price other asset classes.     

Pricing currency risk in the stock market: Evidence from Finland and Sweden 1970-2009

We investigate the role of currency risk on stock markets in two interlinked Nordic countries exhibiting a gradual move from fixed to floating exchange rates. We apply the Ding and Engle (2001) covariance stationary specification in a multivariate GARCH-M setup to test a conditional international asset pricing model. Using a sample period from 1970 to 2009, we find that the currency risk is priced in both stock markets, and that the price and the risk premium are lower after the floatation of the currencies, especially for Finland. We also find the cross-country exchange rate shock from Finland to affect the price of currency risk in Sweden, but not vice versa. Finally, we discuss some of the potential issues in applying multivariate GARCH-M specifications in tests of asset pricing models.     

Information Flows in Foreign Exchange Markets: Dissecting Customer Currency Trades

We study the information in order flows in the world's largest over‐the‐counter market, the foreign exchange (FX) market. The analysis draws on a data set covering a broad cross‐section of currencies and different customer segments of FX end‐users. The results suggest that order flows are highly informative about future exchange rates and provide significant economic value. We also find that different customer groups can share risk with each other effectively through the intermediation of a large dealer, and differ markedly in their predictive ability, trading styles, and risk exposure.     

Currency carry trade regimes: Beyond the Fama regression

We show that carry trade strategies resemble FX option strategies that sell out of the money puts on high interest rate currencies. Both strategies collect premiums to generate persistent excess returns that unwind sharply when volatility increases. We also show that the widely documented negative slope coefficient in regressions of exchange rate depreciation on forward currency premiums is an artifact of the volatility regime. In high volatility regimes, the so-called Fama regression produces a positive coefficient greater than unity. We finally document the existence of an intuitive co-movement between currency risk premiums and yield curve risk factors.     

Oil market uncertainty and excess returns on currency carry trade

This paper examines the role of oil market uncertainty on currency carry trade payoffs. We find that oil market uncertainty can impact currency carry trade excess returns. When oil market uncertainty rises, expected currency excess returns will increase. Our findings are robust to alternative measures of oil market uncertainty and, after controlling for traditional uncertainties, different types of oil shocks. The results also hold well in both developed and emerging markets, as well as for oil-related currencies, non-oil currencies, commodity currencies, and non-commodity currencies. Additionally, oil market uncertainty can be priced in the cross section of currency carry trade excess returns. This effect can be explained by investors becoming more risk averse under high oil market uncertainty and requiring greater compensation for bearing such risk. Moreover, our measure of oil market uncertainty, the downside risk from the oil market, is quite different from that of traditional aggregate measures.     

Credit Risk Spreads in Local and Foreign Currencies

Governments, corporations, and even small firms raise and denominate capital in different currencies. We examine the micro‐level factors that should be considered by a borrower when structuring debt denominated in various currencies. This paper will show how the currency composition of debt affects the cost of debt through the interaction with the risk of company's assets. We look at the currency mismatch in the firm and analyze its credit spread within a Merton's type model with bankruptcy. We show that foreign currency borrowing is cheaper when the exchange rate is positively correlated with the return on the company's assets. The determining factor is not just whether a given company is an exporter or importer, but rather the statistical correlation between the rate of return on the firm's assets and changes in the exchange rate.     

Implied Foreign Exchange Risk Premia

This paper uses implied volatilities from foreign exchange option prices and the results of no‐arbitrage theory to estimate foreign exchange risk premia. In particular, under the assumption of no‐arbitrage, the foreign exchange risk premium is driven by the difference between investors’ market prices of risk in the two currencies. In an international economy with three currencies, sterling, US dollar and Deutschemark, we can use the information on implied volatilities of the three cross rates to derive estimates of implied or ex ante market prices of risk and of foreign exchange risk premia. The foreign exchange risk premia estimates are then compared to survey‐based risk premia.     

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.     

The Global CAPM and a Firm's Cost of Capital in Different Currencies

In an integrated global market, a firm's cost of capital expressed in one currency should be consistent with its cost of capital expressed in another currency. This article presents and illustrates a process for estimating consistent costs of capital in different currencies for a U.K. based multinational. In so doing, it uses a simple, easy-to-use version of the global CAPM that attempts to incorporate the effect of uncertain exchange rates by calculating exchange rate "betas." As argued in the previous article, at least part of a company's currency exposure is systematically related to the global market and thus should be treated as a component of the firm's systematic equity risk.
For example, the U.K. firm featured in this article is shown to have an exchange rate beta of 0.20 from the perspective of a U.S. investor. This implies that a 10% return on the global market in U.S. dollars tends to be associated with a 2% change in the U.S. dollar value of the British pound. One interesting consequence of incorporating exchange risk in this fashion is that two firms with identical U.S. global betas and costs of equity will have different expected returns expressed in another currency if they have different exposures to that currency.     

Idiosyncratic consumption risk and predictability of the carry trade premium: Euro-Area evidence

The failure to empirically prove uncovered interest rate parity conditions seems to be related to the presence of risk premia on foreign currencies. Recent studies suggest that either consumption- or currency-return-based pricing factors explain the cross section of foreign currency portfolio returns. The contribution of this paper is twofold. It first shows that the return-based explanation applies to foreign currency portfolios built from the perspective of a Euro-Area investor. Second, the main results of this paper suggest that the decisive pricing factor, the so-called carry trade premium, mirrors business-cycle-related risks. Times of relatively large uninsured Euro-Area consumption growth risk are associated with an expected increase of the carry trade premium.     

The Optimal Currency Composition of External Debt: Theory and Applications to Mexico and Brazil

The changes in exchange rates, interest rates, and commodityprices during the past decades have had large impacts on developingcountries. Many developing countries have limited access toalready incomplete international long-term hedging markets.Thus the question arises whether the currency composition ofexternal debt can be used to minimize exposure to external pricerisk. Using a utility-maximizing framework, this article showsthat, by choosing the optimal currency composition, a countrycan indeed manage its external exposure. The optimal, risk-minimizingcurrency composition depends on the relation between exportreceipts and the costs of borrowings in each currency and onthe relations among the costs of borrowings in different currencies.A simple methodology can be used to derive the optimal sharesof individual currencies and is applied to Mexico and Brazil.The results show that Mexico and Brazil could have lowered theirexternal exposure to a limited degree by continuously alteringthe currency composition of their debts. The low correlationsbetween the costs of borrowings and export and import pricesmake the currency composition of debt a very imperfect hedgingtool, and it is likely that hedging instruments directly linkedto prices are preferable.     

Identifying the effects of an exchange rate depreciation on country risk: Evidence from a natural experiment

A natural experiment is used to study exchange rate depreciation and perceived sovereign risk. France suspended coinage of silver in 1876 provoking a significant exogenous depreciation of all silver standard countries versus gold standard currencies like the British pound – the currency in which their debt was payable. The evidence suggests an exchange rate depreciation can significantly increase sovereign risk if a country is exposed to foreign currency debt. We implement a difference-in-differences estimator and find that the average silver country's spread on hard currency debt increased over ten percent relative to non-silver countries.     

On the relationship between exchange rates and equity returns: A new approach

This paper employs a new approach in order to investigate the underlying relationship between stock markets and exchange rates. Current approaches suggest that the relative equity market performance of two countries is linked to their exchange rate. In contrast, this study proposes an alternative approach where one global variable – global equity market returns – is believed to have an effect on exchange rates, with the relative interest rate level of a currency determining the sign of the relationship. Our empirical findings suggest that exchange rates and global stock market returns are strongly linked. The value of currencies with higher interest rates is positively related with global equity returns, whereas the value of currencies with lower interest rates is negatively related with global equity returns.     

International asset returns and exchange rates

We present a consumption-based international asset-pricing model to study global equity premiums, the US riskfree rate and the cross section of international asset returns. The model entails idiosyncratic, country-specific consumption risk, which helps explain the magnitude of global equity premiums. It also features country-specific habit formation, which helps explain the level of the interest rate on the US short-term Treasury bills traded by domestic and international investors. We find that the model explains approximately 40–50% of the cross section of currency and equity premiums as well as expected returns from value and growth portfolios of at least a dozen countries. Changes in real exchange rates are responsible for explaining approximately half of the cross section of international asset returns.     

Foreign exchange market return spillovers and connectedness among African countries

This paper examines the foreign exchange return shock spillovers and network connectedness among African countries during crisis periods using (Diebold & Yilmaz, 2012; 2014; 2016) which is based on generalized VAR and network theory between June 2004 and June 2021. Overall, the study found a low system-wide spillover connectedness among African foreign exchange markets. However, the total systemic spillover index increased during the eurozone sovereign debt crisis followed by global financial crisis, indicating evidence of contagion effects. This offers good diversification opportunities in the African currency market during crisis periods. The study also found no significant evidence of spillover effects among African currencies. Nonetheless, the network connectedness analysis found a positive significant pairwise return spillovers from the South African rand, Moroccan dirham and the CFA francs to Botswana pula, and from Moroccan dirham to CFA francs and South African rand. Furthermore, the study found South African rand, Moroccan dirham and CFA francs as the most significant net-transmitter of return shocks to other currencies whiles the Kenyan shilling and Botswana pula are the net-receivers of return shocks from other currencies. These results have implications for African central banks interventions in stabilizing their exchange rates to facilitate intra and inter-African trade and for international portfolio investors in managing their foreign exchange risk exposures.