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Pricing Physical Assets Internationally

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  • Bernard Dumas
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    Abstract

    Transferring physical capital and transferring production and sales activities from one country to the other typically entails large adjustment costs. The model of this paper features two homogeneous stocks of physical capital located in two different countries separated by an 'ocean'. The two physical stocks are optimally invested in a random production process yielding real returns, consumed by local residents, or transferred abroad. Retro- fitting, transferring and re-building capital equipment, and increasing production and sales abroad either takes time (during which capital is idle) or consumes real resources. As a result, the price of capital-consumption goods located in one place is not equal to that of goods located in the other place. The stochastic process for this deviation from the Law of One Price (LOP) is obtained. By construction, this process is compatible with financial market efficiency and with the possibility of (costly) trade in commodities. Whereas empirical studies have found no evidence against the hypothesis that LOP deviations follow a martingale, the theoretical process which I find, exhibits mean reversion (as well as a fair degree of conditional heteroscedasticity) when investors are risk averse.

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    Bibliographic Info

    Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 2569.

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    Date of creation: Apr 1988
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    Handle: RePEc:nbr:nberwo:2569

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    1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-81, September.
    2. Frankel, Jeffrey A, 1979. "On the Mark: A Theory of Floating Exchange Rates Based on Real Interest Differentials," American Economic Review, American Economic Association, vol. 69(4), pages 610-22, September.
    3. William C. Brainard & James Tobin, 1968. "Pitfalls in Financial Model-Building," Cowles Foundation Discussion Papers 244, Cowles Foundation for Research in Economics, Yale University.
    4. Robert E. Cumby & Maurice Obstfeld, 1984. "International Interest Rate and Price Level Linkages under Flexible Exchange Rates: A Review of Recent Evidence," NBER Chapters, in: Exchange Rate Theory and Practice, pages 121-152 National Bureau of Economic Research, Inc.
    5. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
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    8. Pindyck, Robert S, 1982. "Adjustment Costs, Uncertainty, and the Behavior of the Firm," American Economic Review, American Economic Association, vol. 72(3), pages 415-27, June.
    9. Fama, Eugene F., 1984. "Forward and spot exchange rates," Journal of Monetary Economics, Elsevier, vol. 14(3), pages 319-338, November.
    10. Pindyck, Robert S, 1988. "Irreversible Investment, Capacity Choice, and the Value of the Firm," American Economic Review, American Economic Association, vol. 78(5), pages 969-85, December.
    11. Mussa, Michael L, 1977. "External and Internal Adjustment Costs and the Theory of Aggregate and Firm Investment," Economica, London School of Economics and Political Science, vol. 44(174), pages 163-78, May.
    12. Abel, Andrew B, 1985. "A Stochastic Model of Investment, Marginal q and the Market Value of the Firm," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 305-22, June.
    13. Stulz, Rene M, 1981. "On the Effects of Barriers to International Investment," Journal of Finance, American Finance Association, vol. 36(4), pages 923-34, September.
    14. Abel, Andrew B, 1983. "Optimal Investment under Uncertainty," American Economic Review, American Economic Association, vol. 73(1), pages 228-33, March.
    15. Adler, Michael & Lehmann, Bruce, 1983. " Deviations from Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 38(5), pages 1471-87, December.
    16. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
    17. Constantinides, George M, 1982. "Intertemporal Asset Pricing with Heterogeneous Consumers and without Demand Aggregation," The Journal of Business, University of Chicago Press, vol. 55(2), pages 253-67, April.
    18. McDonald, Robert & Siegel, Daniel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, MIT Press, vol. 101(4), pages 707-27, November.
    19. Constantinides, George M, 1986. "Capital Market Equilibrium with Transaction Costs," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 842-62, August.
    20. Adler, Michael & Dumas, Bernard, 1983. " International Portfolio Choice and Corporation Finance: A Synthesis," Journal of Finance, American Finance Association, vol. 38(3), pages 925-84, June.
    21. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-84, March.
    22. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321.
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    Cited by:
    1. Bernard Dumas, 1989. "Perishable Investment and Hysteresis in Capital Formation," NBER Working Papers 2930, National Bureau of Economic Research, Inc.
    2. Kazimierz Stanczak, 1992. "The Implications of Convex Arbitrage Costs for International Macroeconomics," UCLA Economics Working Papers 664, UCLA Department of Economics.
    3. Lars E.O. Svensson, 1988. "Portfolio Choice and Asset Pricing With Nontraded Assets," NBER Working Papers 2774, National Bureau of Economic Research, Inc.

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