Emission Allowance as a Derivative on Commodity-Spread

We provide a valuation formula for emission allowance. Assuming that the value of emission allowance on the last day of a trading phase is equal to a spread of commodity prices (e.g. electricity and natural gas) when the spread is positive and less than the penalty, we show that the emission allowance price is equal to the value of a portfolio of European call options on the spread of the commodities. Using the formula, we obtain a hedging strategy for emission allowance trading. We also empirically analyze option value embedded in emission allowance, and find by numerical analysis that the option value is relatively large.     

BUSINESS CYCLES IN THE EQUILIBRIUM MODEL OF LABOR MARKET SEARCH AND SELF‐INSURANCE*

I introduce risk‐aversion, labor‐leisure choice, capital, individual productivity shocks, and market incompleteness to the standard model of labor search and matching and investigate the model’s cyclical properties. I find that the model can generate the observed large volatility of unemployment and vacancies with a reasonable replacement rate of unemployment insurance benefits of 64%. Labor‐leisure choice plays a crucial role through additional utility from leisure when unemployed and further amplification from adjustments of hours worked. On the other hand, the borrowing constraint or individual productivity shocks do not significantly affect the cyclical properties of unemployment and vacancies.     

Total Labour Requirements and Value Added Productivity of Labour in the Process of Economic Development

When the inverse of the value added productivity of labour is regressed on total labour requirements (which is equivalent to labour values), a significant relationship is obtained. This indicates that the value added productivity of labour can be explained by total labour requirements (labour values). The mean value of the regression coefficients is about 1.7. The regression coefficients have a tendency to increase during the process of rapid economic development and to decrease afterwards. Such movements are explained by value added linkages. This study is based on input–output analysis, where total labour requirements per monetary unit of output and the value added productivity of labour are calculated for each of 24 industries in Japan, Korea and USA, every 5 years between 1960 to 1985.     

A credit market in early stages of economic development

Even if the relatively rich and the poor are initially caught in a poverty trap, the relatively rich can escape poverty by receiving payments from the poor. Further accumulation of wealth by the rich allows the poor to escape poverty.     

Real Indeterminacy of Stationary Monetary Equilibria in Centralized Economies

We show that real indeterminacy of stationary equilibria, by which the set of stationary equilibria is a continuum and the real allocation varies among equilibria, may arise in some general equilibrium models with fiat money. The conditions under which such equilibria arise are: (i) each household optimally saves a constant amount of money; and (ii) at least two households face different budget constraints. We present various models, including a decentralized money search model and a centralized model with a monopoly firm, to explain how these conditions lead to real indeterminacy. Finally, we present a policy that uniquely implements any desirable outcome.     

Monetary policy with sticky prices and segmented markets

Summary. We consider a sticky-price model with segmented asset markets, and examine its implications for monetary policy. Our finding is, first, that the response of the money supply growth rate to a money demand shock required to stabilize inflation is not affected by the existence of a liquidity effect, but the response of the nominal interest rate is. Second, when the monetary authority adopts a Taylor rule, whether or not it should be active to obtain local determinacy of equilibria depends on the existence of a liquidity effect. Our results suggest that the monetary authority should be careful about the existence and the degree of a liquidity effect particularly when the nominal interest rate is used as the policy instrument.Received: 11 February 2004, Revised: 1 November 2004 JEL Classification Numbers: E3, E4, E5.     

Money and Prices Under Uncertainty

We study whether monetary economies display nominal indeterminacy: equivalently, whether monetary policy determines the path of prices under uncertainty. In a simple, stochastic, cash-in-advance economy, we find that indeterminacy arises and is characterized by the initial price level and a probability measure associated with state-contingent nominal bonds: equivalently, monetary policy determines an average, but not the distribution of inflation across realizations of uncertainty. The result does not derive from the stability of the deterministic steady state and is not affected essentially by price stickiness. Nominal indeterminacy may affect real allocations in cases we identify. Our characterization applies to stochastic monetary models in general, and it permits a unified treatment of the determinants of paths of inflation.     

A SIMPLE MODEL OF KEYNESIAN UNEMPLOYMENT

This paper presents a general equilibrium model that extends a static New Keynesian framework to an overlapping generations model. The model shows multiple stationary states, one of which has the following strong Keynesian features: (1) a reduction in wages generates increased unemployment through a decrease in consumption, and (2) the fiscal multiplier is larger than unity and is increasing in the wage share in income.     

Pricing Commodity Spread Options with Stochastic Term Structure of Convenience Yields and Interest Rates

The purpose of this research is to provide a valuation formula for commodity spread options. Commodity spread options are options written on the difference of the prices (spread) of two commodities. From the aspect of commodity contingent claims, it is considered that commodity spread options are difficult to evaluate with accuracy because of the existence of the convenience yield. Hence, the model of the convenience yield is the key factor to price commodity spread options. We use the concept of future convenience yields to develop the model that enriches the stochastic behavior of convenience yield. We also introduce Heath-Jarrow-Morton interest rate model to the valuation framework. This general model not only captures the mean reverting feature of the convenience yield, but also allows us to handle a very wide range of shape that the term structure of convenience yield can take. Therefore our model provides various types of models. The numerical analysis presented in this paper provides some unique features of commodity spread options in contrast to normal options. These characteristics have never been addressed in previous studies. Moreover, it suggests that the existing model overprice commodity spread options through neglecting the effect of interest rates.