RECURRENT BUBBLES*

We study rational bubbles in a standard linear asset price model. We first consider a class of bubble processes driven by multiplicative i.i.d. shocks. We show that a bubble process in this class either diverges to infinity with probability one, converges to zero with probability one, or keeps fluctuating forever with probability one, depending on investors' “confidence” in expected bubble growth. We call a bubble process having the last property “recurrent.” We develop sufficient conditions for a bubble process to be recurrent when it is driven by non‐i.i.d. shocks, when the risk‐free interest rate is not constant, and when the process is driven by non‐i.i.d. shocks and the risk‐free interest rate is not constant. In the last case we demonstrate via simulation that there can be a prolonged period in which both the bubble and the interest rate stay close to zero.     

Exchange Rates and Fundamentals: A General Equilibrium Exploration

Engel and West (2005) show that the observed near random‐walk behavior of nominal exchange rates is an equilibrium outcome of a partial equilibrium asset approach when economic fundamentals follow exogenous first‐order integrated processes and the discount factor approaches one. In this paper, I argue that the unit market discount factor creates a theoretical trade‐off within a two‐country general equilibrium model. The unit discount factor generates near random‐walk nominal exchange rates, but it counterfactually implies perfect consumption risk sharing and flat money demand. Bayesian posterior simulation exercises, based on post‐Bretton Woods data from Canada and the United States, reveal difficulties in reconciling the equilibrium random‐walk proposition within the canonical model; in particular, the market discount factor is identified as being much smaller than one. A relative money demand shock is identified as the main driver of nominal exchange rates.     

Economic Growth,Terms of Trade and Welfare in an Open Monetary Economy*

The authors investigate the impact of growth on terms of trade, absolute prices and welfare using a two-country, monetary model. Under flexible exchange rates export-biased growth would lead to a decline in the terms of trade if the two countries are ‘similar’. Under fixed exchange rates a weaker condition than the barter condition of export-biased growth is sufficient, namely, for the import commodity the demand creating effect of growth dominates the supply effect while for the exported commodity the opposite holds. Secondly, substitutability between money and commodities indicates that no necessary relation holds between the terms of trade and the trade balance. Thirdly, the introduction of money creates a real balance effect so that decline in terms of trade is no longer a necessary (or sufficient) condition for immiserization. Finally, the paper concludes by questioning two policy conclusions drawn in earlier models: one, that the declining terms of trade of less developed countries was due to a bias in the growth strategy and, two, that monetary models of trade support the ‘monetarist’ proposition that growth and a deteriorating trade balance can only co-exist if the domestic monetary policy is nonneutral.     

INFLATION HISTORY AND THE SACRIFICE RATIO: EPISODE-SPECIFIC EVIDENCE

This article examines whether episode-specific analysis can show a negative relationship between inflation and the slope of the Phillips curve that has been found in cross-country analysis. While the relationship between inflation and the Phillips curve slope is widely accepted from cross-country analysis, it has remained unproven in previous episode-specific studies. By defining inflation history as a weighted average of past inflation, this study finds a negative effect of inflation history on the sacrifice ratio, which is what is expected from the cross-country analysis. The negative relationship does not disappear even after including other conventional determinants of the sacrifice ratio. ( JEL E52, E31)     

ON COURNOT-BERTRAND MIXED DUOPOLIES*

This paper deals;with a situation where a quality-setting Cournot firm and a price-seeting Bertrand firm coexist in the same industry. Under a set of regularity conditions on demand and coast, we compute equilibrium prices on Cournot-Bertrand "mixed"duopolies, and compare them with those of "pure" Cournot and Bertrand duopolies.     

SOCIAL SECURITY AND THE INTRAGENERATIONAL REDISTRIBUTION OF LIFETIME INCOME IN JAPAN*

We investigate how social security redistributes lifetime income within the same generation in Japan, based on data from the micro data. The progressivity of Japan's state pension programme appears to be much more limited on a lifetime basis than on an annual basis. Given an ageing population, replacing the current Pay As You Go system with a simple one that consists of a flat benefit and a wage‐proportional premium, and has no maximum contribution, can be desirable in terms of both efficiency and intragenerational equity. The redistributive effects of income tax and consumption tax to finance the benefit are also examined.     

INCOMPLETE INFORMATION GAMES WITH MULTIPLE PRIORS*

We present a model of incomplete information games, where each player is endowed with a set of priors. Upon arrival of private information, it is assumed that each player “updates” his set of priors to a set of posterior beliefs, and then evaluates his actions by the most pessimistic posterior beliefs. So each player's preferences may exhibit aversion to ambiguity or uncertainty. We define a couple of equilibrium concepts, establish existence results for them, and demonstrate by examples how players’ views on uncertainty about the environment affect the strategic outcomes.     

Altruism,Liquidity Constraint,and Investment in Education

In Japan and other East Asian societies, household educational expenditures per child (especially private tutoring expenditures) have increased sharply, perhaps to an excessive degree. This paper suggests a rationale for many families to invest extensively in education, whereas other relevant literature rarely addresses the possibility of excessive educational investment. Introducing altruism and liquidity constraints into a model in which parent and child interact for determining investment in the child's education, we show that educational investment may be excessive unless the family is profoundly liquidity‐constrained. Our result extends previous findings incorporating the Samaritan's Dilemma. We also discuss public policy designed to remedy the inefficiency in educational investment.     

TRADE PATTERNS AND EXCHANGE RATE REGIMES: TESTING THE ASIAN CURRENCY BASKET USING AN INTERNATIONAL INPUT‐OUTPUT SYSTEM

This paper aims at analyzing exchange rates and trade patterns of Indonesia, Malaysia, the Philippines, Thailand, China, Korea, Singapore, and Taiwan in relation to Japan and the United States, with reference to the Asian currency crises in 1997. In order to analyze these issues, we constructed an international input‐output model linked with macroeconometric models of the ten countries/regions. Analyses on the Asian exchange rates with a currency basket peg framework show that the Asian exchange rate policy was the de‐facto dollar peg policy. As for trade patterns in relation to the yen‐dollar rate; when a country/region's industrial structure is similar to that of Japan's and the yen is weak, the appropriate change of the yen's weight proves to hold its competitiveness. By contrast, the weak yen shows a decrease of its imports, regarding complementary structure. In either case, however, effects are limited.