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Risk neutral valuation and uncovered interest rate parity in a stochastic two-country-economy with two goods

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  • Vincenzo Costa

    (University of Cassino (Italy))

Abstract

In this paper we consider a model of a stochastic two-country economy and we use the martingale properties, the change of the numéraire technique and the risk neutral evaluation for achieving some important relations between interest rate of two markets, in particular the so-called uncovered interest rate parity.

Suggested Citation

  • Vincenzo Costa, 2004. "Risk neutral valuation and uncovered interest rate parity in a stochastic two-country-economy with two goods," Economics Bulletin, AccessEcon, vol. 3(43), pages 1-10.
  • Handle: RePEc:ebl:ecbull:eb-04c00007
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    References listed on IDEAS

    as
    1. Suleyman Basak & Michael Gallmeyer, 1999. "Currency Prices, the Nominal Exchange Rate, and Security Prices in a Two‐Country Dynamic Monetary Equilibrium," Mathematical Finance, Wiley Blackwell, vol. 9(1), pages 1-30, January.
    2. Lucas, Robert Jr., 1982. "Interest rates and currency prices in a two-country world," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 335-359.
    3. Sibert, Anne, 1996. "Unconventional preferences: do they explain foreign exchange risk premia?," Journal of International Money and Finance, Elsevier, vol. 15(1), pages 149-165, February.
    4. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    5. Antoine Frachot, 1995. "Factor Models Of Domestic And Foreign Interest Rates With Stochastic Volatilities," Mathematical Finance, Wiley Blackwell, vol. 5(2), pages 167-185, April.
    6. Chiarolla, Maria B. & Haussmann, Ulrich G., 2001. "Equilibrium in a stochastic model with consumption, wages and investment," Journal of Mathematical Economics, Elsevier, vol. 35(2), pages 311-346, April.
    7. Erik Schlögl, 2002. "A multicurrency extension of the lognormal interest rate Market Models," Finance and Stochastics, Springer, vol. 6(2), pages 173-196.
    8. Hiroshi Shirakawa, 1991. "Interest Rate Option Pricing With Poisson‐Gaussian Forward Rate Curve Processes," Mathematical Finance, Wiley Blackwell, vol. 1(4), pages 77-94, October.
    9. de Grauwe, Paul & Grimaldi, Marianna, 2001. "Exchange Rates, Prices and Money: A Long-Run Perspective," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 6(4), pages 289-313, October.
    10. Tomas Björk & Yuri Kabanov & Wolfgang Runggaldier, 1997. "Bond Market Structure in the Presence of Marked Point Processes," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 211-239, April.
    11. Bekaert, Geert, 1996. "The Time Variation of Risk and Return in Foreign Exchange Markets: A General Equilibrium Perspective," The Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 427-470.
    12. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    13. L. C. G. Rogers, 1997. "The Potential Approach to the Term Structure of Interest Rates and Foreign Exchange Rates," Mathematical Finance, Wiley Blackwell, vol. 7(2), pages 157-176, April.
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    More about this item

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • G1 - Financial Economics - - General Financial Markets

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