Nonlinear dynamics and covered interest rate parity

Interest rates

Forward premium puzzle and term structure of interest rates: the case of New Zealand

Using monthly data for the United States dollar – New Zealand dollar exchange rate, this paper revisits the forward premium puzzle and applies a discrete no-arbitrage affine model of the term structure of interest rates to obtain historical estimates of the time-varying foreign exchange risk premium. The two-factor model is estimated via maximum likelihood for the period 1995-2006. The results of this study demonstrate that the modeled risk premium satisfies the required Fama’s conditions, and its inclusion in an extended GARCH(1,1) model is significant in explaining both the mean and the volatility of the exchange rate. However, consistently with the extant literature, the estimated risk premium does not preclude the presence of the forward premium anomaly. Lastly, out-of-sample forecasts of the exchange rate for different specifications and time periods reveal that predictions of the proposed model for the exchange rate are far from the accuracy of a simple random walk specification.

The Consequences of currency intervention in India

Currency management in India has focused on delivering low levels of currency volatility. In earlier years, the implementation of the currency regime was enabled by the presence of capital controls. In recent years, India has made much progress towards capital account convertibility. This paper closely examines India's experience with the implementation of the currency regime in two episodes: 1993-95 and after 2002. We argue that the implementation of the existing currency regime now induces distorted monetary policy and fiscal costs. These costs of implementing the currency regime need to be factored into the choice of currency regime

Limits to arbitrage during the crisis: funding liquidity constraints and covered interest parity

Arbitrage normally ensures that covered interest parity (CIP) holds. Until recently, excess profits, if any, were documented to last merely seconds and reach a few pips. Instead, this paper finds that following the Lehman bankruptcy, these were large, persisted for months and involved strategies short in dollars. Profits are estimated by specifying the arbitrage strategy as a speculator would actually implement it, considering both unsecured and secured funding. Either way, it seems that dollar funding constraints kept traders from arbitraging away excess profits. The claim finds support in an empirical analysis drawing on several novel high frequency datasets of synchronous quotes across securities, including transaction costs.arbitrage limits, covered interest parity, funding liquidity, financial crisis

A Summary of the Bank of Canada Conference on Fixed-Income Markets, 3-4 May 2006

The Bank of Canada's interest in fixed-income markets spans several of its functional areas of responsibility, including monetary policy, funds management, and financial system stability and efficiency. For that reason, the 2006 conference brought together top academics and central bankers from around the world to discuss leading-edge work in the field of fixed-income research. The papers and discussions cover such topics as the efficiency of fixed-income markets, price formation, the determinants of the yield curve, and volatility modelling. This article provides a short summary of each conference paper and the ensuing discussion.

Global Yield Curves and Sovereign Bond Market Integration

We extract global yield curve factors based on the affine arbitrage-free dynamic Nelson-Siegel model. The measure of integration proposed in the paper allows time-varying partial segmentation of national and global government bond markets. It takes into account the maturity structure of yields, therefore it is consistent in time series and cross-section as well. Though global factors and country-specific factors are highly correlated, the international bond market is less integrated than one might expected based on correlation analysis or prior knowledge of investment restrictions. The difference stems from 1) the integration asymmetry of factors:level factor is more integrated than slope and curvature factors; 2) heterogeneous factors dynamics: one factors integration may accompany the segmentation of other factors. Yet the expected integration is stable over the last two decades.

Arbitrage, Covered Interest Parity and Long-Term Dependence between the US Dollar and the Yen

Using a daily time series from 1983 to 2005 of currency prices in spot and forward USD/Yen markets and matching equivalent maturity short term US and Japanese interest rates, we investigate the sensitivity over the sample period of the difference between actual prices in forward markets to those calculated from short term interest rates. According to a fundamental theorem in financial economics termed covered interest parity (CIP) the actual and estimated prices should be identical once transaction and other costs are accommodated. The paper presents four important findings: First, we find evidence of considerable variation in CIP deviations from equilibrium that tends to be one way and favours those market participants with the ability to borrow US dollars (and subsequently lend yen). Second, these deviations have diminished significantly and by 2000 have been almost eliminated. We attribute this to the effects of electronic trading and pricing systems. Third, regression analysis reveals that interday negative changes in spot exchange rates, positive changes in US interest rates and negative changes in yen interest rates generally affect the deviation from CIP more than changes in interday volatility. Finally, the presence of long-term dependence in the CIP deviations over time is investigated to provide an insight into the equilibrium dynamics. Using a local Hurst exponent – a statistic used in fractal geometry - we find episodes of both positive and negative dependence over the various sample periods, which appear to be linked to episodes of dollar decline/yen appreciation, or vice versa. The presence of negative dependence is consistent with the actions of arbitrageurs successfully maintaining the long-term CIP equilibrium. Given the time varying nature of the deviations from equilibrium the sample period under investigation remains a critical issue when investigating the presence of longterm dependence.Hurst exponent; Efficient market hypothesis; covered interest parity, arbitrage

The Forward- and the Equity-Premium Puzzles: Two Symptoms of the Same Illness?

We build a pricing kernel using only US domestic assets data and checkwhether it accounts for foreign markets stylized facts that escape consumptionbased models. By interpreting our stochastic discount factor as the projection ofa pricing kernel from a fully specified model in the space of returns, our results indicatethat a model that accounts for the behavior of domestic assets goes a longway toward accounting for the behavior of foreign assets. We address predictabilityissues associated with the forward premium puzzle by: i) using instrumentsthat are known to forecast excess returns in the moments restrictions associatedwith Euler equations, and; ii) by pricing Lustig and Verdelhan (2007)'s foreigncurrency portfolios. Our results indicate that the relevant state variables that explainforeign-currency market asset prices are also the driving forces behind U.S.domestic assets behavior.