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Generalized Asset Return Parity And The Exchange Rate In A Financially Open Economy


  • Alexis Derviz


The paper studies the parity conditions between assets denominated in different currencies, traded in a wellintegrated segment of the international capital market, and derives the consequences for the exchange rate expectations. The main objective is to assess the uncovered asset return parity for the Czech koruna exchange rate. I argue that any reasonable decision-theoretical foundation of the uncovered parity condition should be formulated in terms of secondary market yields on long-term instruments and not the short-term money market rates. Specifically, the international version of the Consumption-based Capital Asset Pricing Model (CCAPM) is the universal (and, in fact, the single) message of any stochastic general equilibrium model of an open economy. Accordingly, I replace the traditional uncovered interest rate parity (UIP) by the uncovered total return parity condition. The theoretical arguments in favor of the uncovered asset return parity are matched by a number of examples, of which the main group is formed by long-maturity government bonds. Data are examined for the Czech versus German 5 year government bonds, the CZK 10 year bonds of the European Investment Bank vs. German government 10 year bonds, as well as for the Austrian versus US-Treasury 10 year bonds. In both cases, parity seems to verify, although the time horizons and the measures of exchange rate movements, for which it becomes visible, are different. The proposed microfoundation of the uncovered asset return parity uses a model of consumption and investment in an open economy under diffusion uncertainty with soft liquidity constraints. The model is solved by means of the stochastic maximum principle including the adjoint equations for the costate variables. The general equilibrium of portfolio optimizing investors is used to derive a breakdown of the country risk premium present in the uncovered asset return parity relation between a selected pair of fmancial instruments. This allows one to analyze the prevailing beliefs about the long-term exchange rate path. An extension of the basic consumption and investment model to the context of a productive firm issuing its own liabilities to cover liquidity needs, leads to an analogous uncovered yield parity result. I show that the uncovered return parity from the producer perspective is the same as from the consumer and investor perspective. This opens a way for the exchange rate expectation-extraction by means of corporate bonds and other company-specific instruments. In addition, the disparity of returns in international equity markets possesses a certain explanatory power as regards expected competitiveness of domestic and foreign industries.

Suggested Citation

  • Alexis Derviz, 1999. "Generalized Asset Return Parity And The Exchange Rate In A Financially Open Economy," Bulletin of the Czech Econometric Society, The Czech Econometric Society, vol. 6(10).
  • Handle: RePEc:czx:journl:v:6:y:1999:i:10:id:79

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    Cited by:

    1. Viktor Kotlan, 2002. "Monetary Policy and the Term Spread in a Macro Model of a Small Open Economy," Working Papers 2002/01, Czech National Bank, Research Department.
    2. Tomáš Holub & Jaromír Hurník, 2008. "Ten Years of Czech Inflation Targeting: Missed Targets and Anchored Expectations," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 44(6), pages 67-86, November.
    3. Viktor Kotlán, 2001. "Monetary policy and the term structure of interest rates in a small open economy - a model framework approach," Macroeconomics 0110003, EconWPA.

    More about this item


    uncovered parity; asset prices; portfolio optimization; international CCAPM;

    JEL classification:

    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis


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