Covered interest parity with default risk

In this paper we derive a simple model of covered interest parity (CIP) with the assumption that interbank money market rates are risky. The model assumes that the default risk of uncollateralised loans can be hedged perfectly by credit default swap contracts. We show that the no-arbitrage condition is satisfied by a band. The location of this no-arbitrage band depends on the relative riskiness of the two counterparties in the CIP trade. We present evidence on the performance of the model for developed currency pairs in 2008–2011. We find that FX swap spreads (CIP deviations calculated from interbank interest rates of two countries) either fluctuated within the no-arbitrage bands or were close to the edges of the no-arbitrage bands.     

Monetary policy and covered interest parity in the post GFC period: Evidence from the Australian dollar and the NZ dollar

After the global financial crisis (GFC), most major currencies had higher interest rates than the US dollar on forward contract because of increased demand for the US dollar as international liquidity. However, unlike the other major currencies, the Australian dollar and the NZ dollar had lower interest rates than the US dollar on forward contract in the post GFC period. The purpose of this paper is to explore why this happened through estimating the covered interest parity (CIP) condition. In the analysis, we focus on a unique feature of Australia and New Zealand where short-term interest rates remained significantly positive even after the GFC. The paper first constructs a theoretical model where increased liquidity risk causes deviations from the CIP condition. It then tests this theoretical implication by using daily data of six major currencies. We find that both money market risk measures and policy rates had significant effects on the CIP deviations. The result implies that unique monetary policy feature in Australia and New Zealand made deviations from the CIP condition distinct on the forward contract.     

Predicting exchange rate cycles utilizing risk factors

This paper attempts to predict the cyclical behavior of exchange rates by using five risk factors, viz., violations of uncovered interest rate parity (UIP), relative purchasing power parity (RPPP) and pseudo-parity for equity returns, relative (cross-country) TED spreads and relative term spreads. These factors are found to forecast periods of depreciation or appreciation and subsequent reversals. The estimates based on a dynamic probit model reveal that violations of UIP, RPPP and equity market pseudo-parity exhibit predictive power for currency cycles albeit only at short horizons. The proposed framework can be utilized by policy makers to smoothen the resulting currency misalignment and by investors to form trading strategies and hedge their positions as well as re-balance their carry trade positions.     

Uncovered interest parity, monetary policy and time-varying risk premia

In a recent paper, McCallum argued that monetary-policy behavior can be responsible for the apparent empirical failure of uncovered interest parity (UIP). The present paper investigates whether optimizing policy behavior can account for the observed regime-dependence of UIP evidence. The main result is that the tradeoff between interest-rate and exchange-rate stability is a potential candidate for the explanation of the apparent failure of UIP and that the consideration of policy reactions can explain why deviations from UIP differ systematically by the exchange-rate regime.     

Uncovered interest parity: The long and the short of it

Uncovered interest rate parity (UIP) is a theoretical relation linking changes in exchange rates and corresponding interest rate differentials. Despite its considerable intellectual appeal, uncovered interest rate parity has very often been found wanting empirically. I reinvestigate this relation using a 17-country panel of historical time series data at its longest—for the US–UK country pair—spanning 217 years. I find results that are largely consistent with theory: over the long term, in most countries, bond yields expressed in common currency bear a positive relationship to one another as UIP predicts. This is in contrast to the very nearly opposite findings reported in much of the literature and now taken as a stylized fact.     

Interpreting deviations from covered interest parity during the financial market turmoil of 2007–08

This paper investigates the spillover effects of money market turbulence in 2007–08 on the short-term covered interest parity (CIP) condition between the US dollar and the euro through the foreign exchange (FX) swap market. Sharp and persistent deviations from the CIP condition observed during the turmoil are found to be significantly associated with differences in the counterparty risk between European and US financial institutions. Furthermore, evidence is found that US dollar term funding auctions by the ECB, supported by US dollar swap lines with the Federal Reserve, alleviated the level of dislocations, as well as the instability, of the FX swap market.     

Deviations from Covered Interest Rate Parity

We find that deviations from the covered interest rate parity (CIP) condition imply large, persistent, and systematic arbitrage opportunities in one of the largest asset markets in the world. Contrary to the common view, these deviations for major currencies are not explained away by credit risk or transaction costs. They are particularly strong for forward contracts that appear on banks' balance sheets at the end of the quarter, pointing to a causal effect of banking regulation on asset prices. The CIP deviations also appear significantly correlated with other fixed income spreads and with nominal interest rates.     

Time-varying international diversification and the forward premium

This paper reproduces the slope of the uncovered interest rate parity (UIP) regression for ten country pairs within one standard deviation under rational expectations. We propose an infinite horizon dynamic stochastic general equilibrium model with incomplete markets. Heterogeneous investors experience varying risk aversion as a result of habit formation.The underlying mechanism of the model relies on varying international diversification in the investors' portfolio choice decision. In response to their changing habit levels, investors' hedging desire varies over time. This leads to adjustments in interest rates. The habit-induced investment decisions are negatively correlated with movements in the exchange rate. This results in a negative correlation between interest rates and expected exchange rates, as implied by a negative UIP slope.Depending on the magnitude of habits, the model is capable of reproducing positive as well as negative UIP slopes, as seen empirically in the data.     

Searching for evidence of long-run PPP from a post-Bretton Woods panel: separating the wheat from the chaff

This paper reexamines the issue of long-run PPP using multiple panel tests in the framework of confirmatory analysis. Application of six panel tests under competing null hypotheses to the real exchange rates of 21 industrial countries yields seemingly contradictory evidence on the parity during the post-Bretton Woods period. Regardless of numeraire currency, four I(1) panel tests unanimously reject the null hypothesis in favor of long-run PPP, whereas two I(0) panel tests lend little support to the parity at conventional significance levels. Confirmatory analysis suggests that this puzzling result can be explained either by nonlinear dynamics of the real exchange rates or by a mixture of I(0) and I(1) series in the panel. Monte Carlo experiments indicate that potential mix of I(0) and I(1) series is more relevant to the empirical finding. The use of a sequential classification method sorts out six real exchange rates which exhibit most persistent deviations from long-run equilibrium. Systematic behavior of these series can be characterized better by country specific factors than by observable macroeconomic variables.     

On the (in)feasibility of covered interest parity as a solution to the forward bias puzzle

This paper examines Pippenger's (2011) proposed solution to the forward bias puzzle, which is based on the covered interest parity (CIP) condition. It is argued that the CIP-based approach does not solve this well known and long-standing puzzle in international finance in a meaningful way. Moreover, it is shown that empirical results from such an approach follow mechanically from the identity-like nature of the theory of covered interest parity, which, aside from small deviations due to transaction costs, is assumed to hold in all periods (as if it were an identity). We show that rather than leading to new insights, the simple reconfiguration of CIP to solve for the time t + 1 spot exchange rate leads to tautological expressions that, when estimated, might appear to successfully explain the forward bias, but in actuality are trivial. Results from simple simulation exercises further illustrate the inconclusiveness of the proposed solution method.     

Differential risk premiums and the UIP puzzle

We respecify the uncovered interest rate parity (UIP) conditions by inverting the market price of the risk (Sharpe ratio) formula. Our empirical model provides new insight indicating that violations to the UIP stem from the existence of a risk premium in the exchange rates and from observed market return differentials being a noisy statistic of the markets’ expected return differentials in our respecified model. Using an integrated macro‐micro structure framework for expected market return differentials improves our model fit and the validity of UIP.     

The profitability of carry trades

The uncovered interest parity (UIP) condition suggests that carry trades whereby investors borrow in the low interest rate currency and invest in the high interest rate currency should not result in excess profits over the long run. In this paper, we test the significance of the conventional empirical failure of UIP condition. Using the four bilateral pound parities we fail to detect significant excess carry trade profits for the yen, euro and swiss franc–pound parities. The only parity for which the carry trade consistently makes excess profits is the dollar–pound parity. This result is somewhat surprising as this is the currency pair with the lowest interest rate differential. We are extremely grateful for the anonymous referee’s comments on this paper.     

Currency risk premia and uncovered interest parity in the International CAPM

Zero-investment uncovered interest parity (UIP) portfolio positions provide perfect factor-mimicking portfolios for currency risk in the International CAPM context. Their returns are the currency risk premia. Since the UIP positions on average provide low returns, the currency risk premia must be low so that currency risk appears not to be priced in an unconditional model. However, previous research has shown that UIP returns are predictable and may be quite substantial conditionally. We use this observation to generate a specific conditional version of the International CAPM. A GMM approach shows that the conditional model performs well, while the unconditional International CAPM is (marginally) rejected. The paper thus argues that previous rejections of the International CAPM stem from the fact that currency risk premia are by nature low over extended periods of time and do not provide evidence against the International CAPM.     

From turmoil to crisis: Dislocations in the FX swap market before and after the failure of Lehman Brothers

This paper investigates dislocations in the foreign exchange (FX) swap market between the US dollar and three major European currencies. After the failure of Lehman Brothers in September 2008, deviations from covered interest parity (CIP) were negatively associated with the creditworthiness of US financial institutions (as well as that of European institutions), consistent with the deepening of a dollar liquidity problem into a global phenomenon. US dollar term funding auctions by the ECB, SNB, and BoE, as well as the US Federal Reserve commitment to provide unlimited dollar swap lines are found to have ameliorated the FX swap market dislocations.     

Time-varying risk premia in foreign exchange and equity markets: evidence from Asia–Pacific countries

This paper examines the validity of the risk premia hypothesis in explaining deviations from Uncovered Interest Parity (UIP) and the role of deviations from Purchasing Power Parity (PPP) in the pricing of foreign exchange rates and equity securities in five Asia–Pacific countries and the US. Using weekly data from 1 January, 1988 to 27 February, 1998, I find that conditional variances are not related to the deviations from UIP in any statistical sense based on an univariate GARCH(1,1)-M model. As I consider both foreign exchange and equity markets together and test a conditional international CAPM (ICAPM) in the absence of PPP, I cannot reject the model based on the J-test by Hansen (Econometrica 50 (1982), 1029–1054) and find significant time-varying foreign exchange risk premia present in the data. This empirical evidence supports the notion of time-varying risk premia in explaining the deviations from UIP. It also supports the idea that the foreign exchange risk is not diversifiable and hence should be priced in both markets.     

Interest Rates and Exchange Rate Movements: Analyzing Short-term Investments in Long-term Bonds

Tests of the uncovered interest rate parity (UIP) are subject to various data problems when long-term interest rates are applied: due to the long investment period, time intervals for measuring exchange rate movements are usually overlapping and therefore not independent. This shortfall can be prevented by considering short-term investments in long-term bonds instead of investments to maturity. This article analyzes the explanatory power of long-term interest rates with regard to 1- and 3-month exchange rate movements by relating return differences from 1- and 3-month investments in domestic and foreign 10-year government bonds to nine different exchange rates. From a Swiss perspective, there is only weak support for an interrelation between return differences and the corresponding exchange rate movements, whereas from a US perspective, the resulting estimates are much more in line with UIP.The reader may for instance consider Engel (1996) and Froot and Thaler (1990).     

Nonlinearity in Deviations from Uncovered Interest Parity: An Explanation of the Forward Bias Puzzle

We provide empirical evidence that deviations from the uncovered interest rate parity (UIP) condition display significant nonlinearities, consistent with theories based on transactions costs or limits to speculation. This evidence suggests that the forward bias documented in the literature may be less indicative of major market inefficiencies than previously thought. Monte Carlo experiments allow us to reconcile these results with the large empirical literature on the forward bias puzzle since we show that, if the true process of UIP deviations were of the nonlinear form we consider, estimation of conventional spot-forward regressions would generate the anomalies documented in previous research.This paper was partly written while Lucio Sarno was a Visiting Scholar at the International Monetary Fund. Financial support from the Economic and Social Research Council (Grant No. RES-000-22-0404) is gratefully acknowledged. The authors are indebted for useful conversations or constructive comments to Josef Zechner (editor), three anonymous referees, Ulf Axelson, Magnus Dahlquist, Paul De Grauwe, Hans Dewachter, John Driffill, Bob Flood, Gordon Gemmill, Campbell Harvey, Peter Kenen, Rich Lyons, Angelo Melino, Chris Neely, Anthony Neuberger, Carol Osler, David Peel, Dagfinn Rime, Piet Sercu, Per Str?mberg, Shinji Takagi, Gabriel Talmain, Mark Taylor, Timo Ter?svirta, Dan Thornton, Shang-Jin Wei, Mike Wickens and Mark Wohar, as well as to participants at the 2005 European Finance Association Annual Conference, Moscow; 2004 Society of Nonlinear Dynamics and Econometrics Annual Conference, Federal Reserve Bank of Atlanta; the 2004 European Financial Management Association Conference, Basel; and seminars at the International Monetary Fund, Swedish Institute for Financial Research, Central Bank of Norway, University of Oxford, Catholic University of Leuven, University ofWarwick, Chinese University of Hong Kong, York University, University of Exeter, University of Kent, and University of Edinburgh. The authors alone are responsible for any errors that may remain and for the views expressed in the paper.     

Insured uncovered interest parity

The current literature suggests that uncovered interest parity (UIP) does not hold because of differences in risk in holding different currency denominated debt. We test whether this risk is related to sovereign credit risk in government bonds. We consider an insured uncovered interest parity relationship – that is, one where debt is insured with credit default swap (CDS) contracts. CDS rates help explain the UIP puzzle but have no predictive power for carry trade returns and currency movements.     

Uncovered Interest Parity,Forward Guidance and the Exchange Rate

Under uncovered interest parity (UIP), the size of the effect on the real exchange rate of an anticipated change in real interest rate differentials is invariant to the horizon at which the change is expected. Empirical evidence using U.S., euro area and UK data points to a substantial deviation from that invariance prediction: expectations of interest rate differentials in the near (distant) future are shown to have much larger (smaller) effects on the real exchange rate than is implied by UIP. Some possible explanations are discussed.     

A Liquidity-Based Resolution of the Uncovered Interest Parity Puzzle

A new monetary theory is set out to resolve the “uncovered interest parity (UIP)” puzzle. It explores the possibility that liquidity properties of money and nominal bonds can account for the puzzle. A key concept in our model is that nominal bonds carry liquidity premia. We show that the UIP can fail to hold under the economic environment where collateral pledgeability and/or liquidity of nominal bonds and/or collateralized credit-based transactions are relatively bigger. Our liquidity-based theory can help understanding many empirical observations that risk-based explanations find difficult to reconcile with.