Covered Interest Parity: A Stochastic Volatility Approach to Estimate the Neutral Band

Hernández, Juan R. (2020): Covered Interest Parity: A Stochastic Volatility Approach to Estimate the Neutral Band.

Abstract

The neutral band is the interval where deviations from Covered Interest Parity (CIP) are not considered meaningful arbitrage opportunities. The band is determined by transaction costs and risk associated to arbitrage. Seemingly large deviations from CIP in the foreign exchange markets for the US Dollar crosses with Sterling, Euro and Mexican Peso have been the norm since the Global Financial Crisis. The topic has attracted a lot of attention in the literature. There are no estimates of the neutral band to assess whether deviations from CIP reflect actual arbitrage opportunities, however. This paper proposes an estimate of the neutral band based on the one-step-ahead density forecast obtained from a stochastic volatility model. Comparison across models is made using the log-score statistic and the probability integral transformation. The stochastic volatility models have the best fit and forecasting performance, hence superior neutral band estimates.

• Item Type: MPRA Paper
• Language: English
• Keywords: Covered interest parity; stochastic volatility; forward filtering backward smoothing; auxiliary particle filter; density forecast
• Subjects: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C53 - Forecasting and Prediction Methods ; Simulation Methods; C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C58 - Financial Econometrics; F - International Economics > F3 - International Finance > F31 - Foreign Exchange; F - International Economics > F3 - International Finance > F37 - International Finance Forecasting and Simulation: Models and Applications

References

AVDJIEV, S., W. DU, C. KOCH, AND H. S. SHIN (2017): “The dollar, bank leverage and the deviation from covered interest parity,” BIS Working Papers, 592.

BABA, N. AND F. PACKER (2009): “Interpreting deviations from covered interest parity during the financial market turmoil of 200708,” Journal of Banking & Finance, 33, 1953 –1962, financial Globalisation, Risk Analysis and Risk Management.

BERUMENT, H. AND H. KIYMAZ (2001): “The day of the week effect on stock market volatility,” Journal of Economics and Finance, 25, 181–193.

BIS (2016): Triennial Central Bank Survey: Foreign exchange turnover in April 2016.

BORIO, C. E., R. N. MCCAULEY, P. MCGUIRE, AND V. SUSHKO (2016): “Covered interest parity lost: understanding the cross-currency basis,” BIS Quarterly Review, September.

BRANSON, W. H. (1969): “The minimum covered interest differential needed for international arbitrage activity,” Journal of Political Economy, 77, 1028–1035.

BUSH, G. (2019): “Bank foreign currency funding and currency markets: the case of Mexico post GFC,” Banco de Mexico Working Papers ´ , 2019-01.

CARSTENS, A. G. (1985): A Study of the Mexican Peso Forward Exhcange Rate Market. PhD Dissertation, University of Chicago.

CARTER, C. K. AND R. KOHN (1994): “On Gibbs sampling for state space models,” Biometrika, 81, 541–553.

CENEDESE, G., P. DELLA-CORTE, AND T. WANG (2017): “Currency Mispricing and Dealer Balance Sheets,” Mimeo.

CLAESSENS, S. AND M. A. KOSE (2018): “Frontiers of macrofinancial linkages,” BIS Working Papers.

CLINTON, K. (1988): “Transactions costs and covered interest arbitrage: theory and evidence,” Journal of Political Economy, 96, 358–370.

CVITANIC´, J. AND F. ZAPATERO (2004): Introduction to the Economics and Mathematics of Financial Markets, MIT press.

DACCO, R. AND S. SATCHELL (1999): “Why do Regime Switching Models Forecast so Badly?” Journal of Forecasting, 18, 1–16.

DEARDORFF, A. V. (1979): “One-Way Arbitrage and Its Implications for the Foreign Exchange Markets,” Journal of Political Economy, 87, 351–364.

DI NARZO, A., J. AZNARTE, AND M. STIGLER (2012): “Nonlinear time series models with regime switching,” R package version (http://cran.us.rproject.org/web/packages/tsDyn/).

DU, W., A. TEPPER, AND A. VERDELHAN (2018): “Deviations from Covered Interest Rate Parity,” The Journal of Finance, Forthcoming.

DUBOIS, M. AND P. LOUVET (1996): “The day-of-the-week effect: The international evidence,” Journal of Finance and Banking, 20, 1463–1483.

DUFFIE, D. (2010): Dynamic asset pricing theory, Princeton University Press.

EINZIG, P. (1967): A dynamic theory of forward exchange, Macmillan.

FRENKEL, J. A. (1973): “Elasticities and the Interest Parity Theory,” Journal of Political Economy, 81, 741–747.

FRENKEL, J. A. AND R. M. LEVICH (1975): “Covered Interest Arbitrage: Unexploited Profits?.” Journal of Political Economy, 83, 325 – 338.

FRENKEL, J. A. AND R. M. LEVICH (1977): “Transaction Costs and Interest Arbitrage: Tranquil versus Turbulent Periods.” Journal of Political Economy, 85, 1209 – 1226.

GELMAN, A., J. B. CARLIN, H. S. STERN, D. B. DUNSON, A. VEHTARI, AND D. B. RUBIN (2013): Bayesian Data Analysis, Chapman and Hall/CRC.

GEWEKE, J. AND G. AMISANO (2010): “Comparing and evaluating Bayesian predictive distributions of asset returns,” International Journal of Forecasting, 26, 216 – 230, special Issue: Bayesian Forecasting in Economics.

GRANGER, C. AND T. TERASVIRTA ¨ (1993): Modelling Nonlinear Economic Relationships, Oxford University Press.

GREGORIOU, A., A. KONTONIKAS, AND N. TSITSIANIS (2004): “Does the Day of the Week Effect Exist Once Transaction Costs Have Been Accounted for? Evidence From the UK,” Applied Financial Economics, 14, 215–220.

HERNANDEZ, J. R. (2014): “Peso-Dollar Forward Market Analysis: Explaining Arbitrage Opportunities during the Financial Crisis,” Banco de Mexico Working Papers ´ , 2014-09.

IVASHINA, V., D. S. SCHARFSTEIN, AND J. C. STEIN (2015): “Dollar Funding and the Lending Behavior of Global Banks*,” The Quarterly Journal of Economics, 130, 1241– 1281.

JUHL, T., W. MILES, AND M. D. WEIDENMIER (2006): “Covered interest arbitrage: then versus now,” Economica, 73, 341–352.

KASTNER, G. (2016): “Dealing with Stochastic Volatility in Time Series Using the R Package stochvol,” Journal of Statistical Software, 69, 1–30.

KEYNES, J. M. (1923): A Tract on Monetary Reform, Macmillan.

KHOR, H. E. AND L. ROJAS-SUAREZ (1991): “Interest Rates in Mexico: The Role of Exchange Rate Expectations and International Creditworthiness,” No 91/12 IMF Staff Papers, 850–871.

KIM, S., N. SHEPHARD, AND S. CHIB (1998): “Stochastic Volatility: Likelihood Inference and Comparison with ARCH Models,” The Review of Economic Studies, 65, 361–393.

LEVICH, R. M. (2012): “FX counterparty risk and trading activity in currency forward and futures markets,” Review of Financial Economics, 21, 102–110.

LEVICH, R. M. (2017): “CIP: Then and Now, A Brief Survey of Measuring and Exploiting Deviations from Covered Interest Parity.” Remarks prepared for the BIS Symposium: CIP-RIP?

LIAO, G. (2016): “Credit migration and covered interest rate parity,” Project on Behavioral Finance and Financial Stability Working Paper Series (2016-07).

MANCINI-GRIFFOLI, T. AND A. RANALDO (2011): “Limits to arbitrage during the crisis: funding liquidity constraints and covered interest parity,” Swiss National Bank Working Paper.

PEEL, D. A. AND M. P. TAYLOR (2002): “Covered Interest Rate Arbitrage in the Interwar Period and the Keynes-Einzig Conjecture.” Journal of Money, Credit & Banking (Ohio State University Press), 34, 51 – 75.

PETRIS, G. (2010): “Dealing with Stochastic Volatility in Time Series Using the R Package stochvol,” Journal of Statistical Software, 36, 1–16.

PIAZZESI, M. (2010): “Affine Term Structure Models,” in Handbook of Financial Econometrics: Tools and Techniques, ed. by Y. A¨ıt-Sahalia and L. P. Hansen, North-Holland, vol. 1, 691 – 766.

PITT, M. K. AND N. SHEPHARD (1999): “Filtering via Simulation: Auxiliary Particle Filters,” Journal of the American Statistical Association, 94, 590–599.

SHEPHARD, N. (2013): “Martingale unobserved component models,” Manuscript, University of Oxford.

SHUMWAY, R. H. AND D. S. STOFFER (2017): Time Series Analysis and Its Applications, Springer.

SOLNIK, B. AND L. BOUSQUET (1990): “Day-of-the-week effect on the Paris Bourse,” Journal of Finance and Banking, 14, 461–468.

SUSHKO, V., C. E. BORIO, R. N. MCCAULEY, AND P. MCGUIRE (2016): “The failure of covered interest parity: FX hedging demand and costly balance sheets,” BIS Working Papers, 590.

TAYLOR, M. P. (1987): “Covered Interest Parity: A High-Frequency, High-Quality Data Study,” Economica, 54, 429–438.

TONG, H. (1990): Nonlinear Time Series: A Dynamical System Approach, Claredon Press.

WEST, M. AND J. HARRISON (2006): Bayesian forecasting and dynamic models, Springer Science & Business Media.