Real Transfers in Fixed Exchange Rate Systems and the International Adjustment Mechanism

Questions & answers

Q1. What institutional question is the paper asking, and how does it differ from the conventional MABOP account?

The paper sets out to show that “there is an inherent redistribution of purchasing power in some of” the different institutional arrangements used to defend a fixed exchange rate, and that recognizing this is essential for analyzing “the international adjustment to monetary disturbances” (Section 1, Introduction). The conventional monetary-approach-to-the-balance-of-payments (MABOP) story – as in Dornbusch’s (1973) “seminal paper” – holds that a monetary expansion in one country produces a deficit there and a surplus elsewhere, accompanied by higher real spending in the expanding country and lower spending abroad, with the terms of trade adjusting until, in the long run, only the world price level has changed. Persson’s analysis “relies on the same assumption about market clearing as the MABOP view” but differs “in its explicit consideration of intertemporal aspects and its separation of money and wealth,” arguing that the form of each country’s infinite-horizon wealth constraint is what actually determines whether the MABOP’s spending-deficit correlation holds (Section 1).

Q2. How is the model set up, and what role does money play?

The model is a two-country, infinite-horizon, perfect-foresight economy with Walrasian markets for n non-storable goods, world markets for the two countries’ monies and bonds denominated in both currencies, and national (non-traded) factor markets (Section 2, Preliminaries). Money is “essential” in the specific sense that it must be one side of every transaction – “to purchase foreign goods or assets one has to pay with foreign money” – with goods paid for continuously through the period while financial-asset trades clear instantaneously and factor payments arrive at period’s end (Section 2). Because nominal interest rates are assumed strictly positive, bonds dominate money as a store of value, so in equilibrium each country’s money stock in circulation must exactly equal the value of its own output each period (Eqs. 2-3).

Q3. What happens under interest-bearing reserves, and why is this the “neutral” case?

With interest-bearing reserves, the monetary authority’s net debt position evolves according to bt = St − (1+r_{t-1})S_{t-1} (Eq. 5), and once this intertemporal budget is substituted into the household’s wealth constraint and the solvency condition lim_{t→∞} d_t S_t = 0 is imposed, each country’s wealth collapses to simply the present value of its own output: W = Σ d_t p_t x_t (Eq. 6). Because this result holds for every possible path of money stocks, “real spending should not be affected by monetary disturbances, provided…that outputs and relative prices are independent of such disturbances. But that must always be the case in a world with Walrasian markets, perfect foresight, and no nominal stickiness” (Section 3). Persson notes this neutrality result was already established by Helpman (1981) for a “one-sided peg” and by Obstfeld (1982) in a different portfolio-balance framework, and clarifies that “what is crucial for the result is that reserves are interest-bearing, and that MA’s budget is intertemporally balanced” – not, as Helpman’s terminology might suggest, whether the peg is one-sided or cooperative.

Q4. How does the non-interest-bearing-reserves case differ, and what does the resulting wealth expression look like?

With non-interest-bearing reserves (or under a classical gold standard, which the paper states gives equivalent results), wealth becomes W = Σ d_t p_t x_t + R̄ − Σ d_t(r_{t-1}R_{t-1}) (Eq. 8) for the home country and the mirror-image expression with opposite signs for the foreign country – an extra term for the initial stock of reserves R̄ and a term for the implicit interest cost of holding non-interest-bearing reserves. “In other words there is a real transfer between the two countries inherent in this system” (Section 4), whose direction in general “depends on the entire path of prices, interest rates and reserves, and cannot be determined a priori,” though a sufficient condition for the transfer to favor the home country is that the home money stock grows consistently faster than the foreign one, so that reserves fall steadily over time and the initial-reserves term dominates the interest-cost term.

Q5. What is the paper’s central “perverse” finding about non-interest-bearing reserves and the direction of the MABOP correlation?

Working through the two-period example (Section 6), Persson shows that a monetary expansion in the home country (dD₁ > 0) under non-interest-bearing reserves produces a downward adjustment in home real spending and an upward adjustment abroad, even though the home country’s own balance-of-payments deficit still rises (db₁/dD₁ > 0). As stated directly: “We should thus generally expect an adjustment downwards of home real spending in the first period, and an upward adjustment in the foreign country. This is true wherever the expansion occurs…Therefore, the positive correlation between spending and deficits suggested by the MABOP holds if the expansion occurs in the foreign country, but not if it occurs in the home country. We have thus given an example of the ‘perverse’ effects discussed in Section 4.” The welfare change driving this (Eq. 18) decomposes into a standard (negative) terms-of-trade effect, an ambiguous intertemporal terms-of-trade effect, and a negative wealth-redistribution effect from the capital loss on MA’s reserves as the price level rises – and it is a textbook trade-theory result that, under stability, the terms-of-trade effects of a transfer cannot reverse the transfer’s own redistributive effect, so the net effect is unambiguously negative for the expanding country. The policy corollary Persson draws explicitly: “if MA wants to increase home welfare and spending it should contract rather than expand the home money supply.”

Q6. How does the Exchange Rate Union (ERU) case work, and why does it restore the MABOP correlation?

In the ERU, the two monetary authorities support the peg through a swap arrangement with no resulting claims between them, so wealth becomes W = Σ d_t p_t x_t + T (Eq. 10), where T is the present value of net money transfers received from the other country’s authority – “an inherent transfer of purchasing power between the two countries in favor of the country that has an accumulated (present value) deficit in the balance of payments,” because a deficit is “passively financed by the other country’s monetary authority” (Section 5). Because this transfer moves one-for-one with each country’s own deficit, “it seems that the adjustment of real spending in the two countries after a monetary disturbance will take place according to the proposition in the MABOP,” which the two-period example confirms directly (Section 5, Section 6): a home expansion there raises home wealth and welfare (dw = dt > 0) and lowers them abroad, consistent with the standard story. Persson flags the cost of this cleaner result: “to get this result unambiguously we have in fact eliminated the monetary authorities’ intertemporal budget constraints. This seems to put the MABOP view of the adjustment mechanism in some doubt” as a general proposition, since it only holds exactly in the one institutional arrangement that removes monetary-authority solvency constraints altogether.

Q7. What does the two-period example formally establish about relative prices and the direction of transfers?

For a monetary expansion in the home country under non-interest-bearing reserves, the appendix derives that the relative price of foreign goods falls (dπ < 0) and nominal prices rise (dp₁ > 0, dq₁ > 0), with the home country’s own balance-of-payments deficit rising (db₁ > 0) and the foreign country’s correspondingly falling (Section 6 and Appendix, Eqs. A13-A15). For the symmetric exchange-rate-union case, a home expansion instead raises the relative price of foreign goods (dπ > 0) and increases home wealth directly through the transfer term t, with the sign pattern exactly reversed from the non-interest-bearing-reserves case – illustrating concretely how the same monetary shock produces opposite real-spending consequences purely as a function of which institutional regime is defending the fixed rate.

Q8. What caveats and extensions does the paper flag for its own framework?

Persson is explicit that the paper’s strong “neutrality” result for interest-bearing reserves is special to the perfect-foresight, no-nominal-stickiness, intertemporally-balanced-budget setting: “unexpected monetary disturbances would affect real variables also in systems with interest-bearing reserves” (Section 7, Concluding comments, citing Persson 1982a for elaboration), and that relaxing perfect foresight to allow systematic expectational errors – so monetary authorities’ budgets are not fully internalized by households – would make the MABOP’s positive spending-deficit association “more likely to occur,” tying the result’s robustness to the debate (citing Barro 1974) over whether government bonds are net wealth. The paper also flags that, in this frictionless Walrasian setting, “all perfect foresight equilibria are Pareto-efficient from a global point of view…This is quite a weak result, however, since any unexpected changes would destroy the efficiency properties, as would short-run rigidities,” so no welfare ranking across the three institutional systems is offered; the paper closes by suggesting the results might help explain how historical regimes such as “the different gold standards and the Bretton Woods system actually broke down,” and flags that systems with an inherent redistribution mechanism create “scope for strategic behavior of the monetary authorities in the design of their policies” that is left for future research.