stochastic convenience yield and the pricing of oil contingent claims this paper develops and empirically tests a two factor model for pricing financial and real assets contingent on the price of oil the factors are the spot price of oil and the instantaneous convenience yield the parameters of the model are estimated using weekly oil futures contract prices from january 1984 to november 1988 and the model s performance is assessed out of sample by valuing futures contracts over the period november 1988 to may 1989 finally the model is applied to determine the present values of one barrel of oil deliverable in one to ten years time

tax asymmetries the cost of capital and investment some evidence from united kingdom panel data a measure of the cost of capital is developed that incorporates the dynamic effects of tax changes and tax asymmetries estimates of the cost of capital are made using an unbalanced panel of 1987 u k quoted companies over the period 1971 to 1984 there is wide cross sectional variation in the cost of capital the measure is used in estimating an equation where this cross sectional variation is found to be a significant determinant of the level of company investment copyright 1989 by royal economic society

bond pricing and the term structure of interest rates a new methodology for contingent claims valuation this paper presents a unifying theory for valuing contingent claims under a stochastic term structure of interest rates the methodology based on the equivalent martingale measure technique takes as given an initial forward rate curve and a family of potential stochastic processee for its subsequent movements a no arbitrage condition restricts this family of processes yielding valuation formulae for interest rate sensitive contingent claims which do not explicitly depend on the market prices of risk examples are provided to illustrate the key results in relation to the term structure of interest rates arbitrage pricing theory has two purposes the first is to price all zero coupon default free bonds of varying maturities from a finite number of economic fundamentals called state variables the second is to price all interest rate sensitive contingent claims taking as given the prices of the zero coupon bonds this paper presents a general theory and a unifying framework for understanding arbitrage pricing theory in this context of which all existing arbitrage pricing models are special cases in particular vasicek 1977 brennan and schwartz 1979 langetieg 1980 ball and torous 1983 ho and lee 1986 schaefer and schwartz 1987 and artzner and delbaen 1988 the primary contribution of this paper however is a new methodology for solving the second problem i e the pricing of interest rate sensitive contingent claims given the prices of all zero coupon bonds the methodology is new because i it imposes its stochastic structure directly on the evolution of the forward rate curve ii it does not require an inversion of the term structure to eliminate the market prices of risk from contingent claim values and iii it has a stochastic spot rate process with multiple stochastic factors influencing the term structure the model can be used to consistently price and hedge all contingent claims american or european on the term structure and it is derived from necessary and more importantly sufficient conditions for the absence of arbitrage the arbitrage pricing models of vasicek 1977 brennan and schwartz 1979 langetieg 1980 and artzner and delbaen 1988 all require an iformerly titled bond pricing and the term structure of interest rates a new methodology

oil futures prices in a production economy with investment constraints we document a new stylized fact that the relationship between the volatility of oil futures prices and the slope of the forward curve is nonmonotone and has a v shape this pattern cannot be generated by standard models that emphasize storage we develop an equilibrium model of oil production in which investment is irreversible and capacity constrained investment constraints affect firms investment decisions and imply that the supply elasticity changes over time since demand shocks must be absorbed by changes in prices or changes in supply time varying supply elasticity results in time varying volatility of futures prices estimating this model we show it is quantitatively consistent with the v shape relationship between the volatility of futures prices and the slope of the forward curve in recent years commodity markets have experienced dramatic growth in trad

short term variations and long term dynamics in commodity prices in this article we develop a two factor model of commodity prices that allows meanreversion in short term prices and uncertainty in the equilibrium level to which prices revert although these two factors are not directly observable they may be estimated from spot and futures prices intuitively movements in prices for long maturity futures contracts provide information about the equilibrium price level and differences between the prices for the short and long term contracts provide information about short term variations in prices we show that although this model does not explicitly consider changes in convenience yields over time this short term long term model is equivalent to the stochastic convenience yield model developed in gibson and schwartz 1990 we estimate the parameters of the model using prices for oil futures contracts and apply the model to some hypothetical oil linked assets to demonstrate its use and some of its advantages over the gibson schwartz model

unspanned stochastic volatility and fixed income derivatives pricing we propose a parsimonious unspanned stochastic volatility model of the term structure and study its implications for fixed income option prices the drift and quadratic variation of the short rate are affine in three state variables the short rate its long term mean and variance which follow a joint markov vector process yet bond prices are exponential affine functions of only two state variables independent of the current interest rate volatility level because this result holds for an arbitrary volatility process such a process can be calibrated to match fixed income derivative prices furthermore this model can be extended by relaxing the time homogeneity to fit any arbitrary term structure in its hjm form this model nests the analogous stochastic equity volatility model of heston 190 heston s l 1993 a closed form solution for options with stochastic volatility review of financial studies 6 327 343 in particular if the volatility process is specified to be affine closed form solutions for interest rate options obtain we propose an efficient algorithm to compute these prices an application using data on caps and floors shows that the model can capture very well the implied black spot volatility surface while simultaneously fitting the observed term structure c 2005 elsevier b v all rights reserved

the dynamics of the forward interest rate curve a formulation with state variables the objective of this paper is twofold first the paper develops a class of models of the term structure of interest rates in the heath jarrow and morton 1992 framework with dynamics characterized by the evolution of a small set of state variables second the paper exploits this characterization of the dynamics of the term structure in an estimation exercise that makes use of both the time series and cross section of bond prices in this way our class of models bridges the gap between traditional models such as cox ingersoll and ross 1985 and vasicek 1977 that emphasize the dynamics of interest rates and the models of heath jarrow and morton 1992 that stress fitting the cross section of bond prices

valuation of commodity futures and options under stochastic convenience yields interest rates and jump diffusions in the spot this paper investigates the effects of stochastic convenience yields stochastic interest rates and jumps in the spot price on the pricing of commodity futures forwards and futures options numerical examples show that one factor prices differ materially from the stochastic convenience yield two factor prices when convenience yield is considerably above its long term average the extension to a three factor model with stochastic interest rates leads to a different futures price but the forward price is unchanged the extension ofthe three factor model to include jumps in the spot price process does not affect forward or futures prices but it can have an impact on options prices the model is applied to price the present value of future cash flows from a real asset

equilibrium exhaustible resource price dynamics we develop equilibrium models of exhaustible resource markets with endogenous extraction choices and prices our analysis demonstrates how adjustment costs can generate oil and gas forward price dynamics with two factors consistent with the behavior these commodities exhibit in the schwartz and smith 2000 calibration our two factor model predicts that stochastic volatility will arise in these markets as a natural consequence of production adjustments however and we provide supporting empirical evidence differences between endogenous price processes from our general equilibrium model and exogenous processes in earlier papers can generate significant differences in both financial and real option values

expenditure spillovers and fiscal interactions empirical evidence from local governments in spain abstract the paper presents a framework for measuring spillovers resulting from local expenditure policies we identify and test for two different types of expenditure spillovers i benefit spillovers arising from the provision of local public goods and ii crowding spillovers arising from the crowding of facilities by residents in neighboring jurisdictions benefit spillovers are accounted for by assuming that the representative resident enjoys the consumption of a local public good in both his own community and in those surrounding it crowding spillovers are included by considering that a locality s consumption level is influenced by the population living in the surrounding localities we estimate a reaction function with interactions between local governments occurring not only between expenditure levels but also between neighbors populations and expenditures the equation is estimated using data on more than 2500 spanish local governments for the year 1999 the results show that both types of spillovers are relevant

do bonds span the fixed income markets theory and evidence for unspanned stochastic volatility most term structure models assume bond markets are complete that is that all fixed income derivatives can be perfectly replicated using solely bonds however we find that in practice swap rates have limited explanatory power for returns on at the money straddles portfolios mainly exposed to volatility risk we term this empirical feature unspanned stochastic volatility usv while usv can be captured within an hjm framework we demonstrate that bivariate models cannot exhibit usv we determine necessary and sufficient conditions for trivariate markov affine systems to exhibit usv for such usv models bonds alone may not be sufficient to identify all parameters rather derivatives are needed

price expectations in the united states 1947 75 it is common to assume that expectations about future inflation influence economic behavior the behavior of an economic system over time is determined in part by the manner in which these expectations are formed theoretical and empirical investigations frequently utilize a hypothesis that agents forecast future inflation rates primarily on the basis of past inflation rates static adaptive extrapolative and regressive expectations adjustment schemes are examples of such forecasting rules 1 but such rules generally ignore the fact that individuals observe prices not inflation rates a change in observed prices can result from general price inflation but it may also result from transitory shocks to the price level or observation error similarly apparent changes in the general inflation rate may be purely transitory in nature or may signify the beginning of a trend a model of inflation expectations should admit the possibility of these different sources of price change and embody the natural human tendency to extrapolate seeming trends this paper examines the extent to which agents reported price expectations are consistent with such naive forecasting a multilevel adaptive expectations model is developed that takes observed prices as the information available to agents on the basis of these prices individuals revise their beliefs about not only the price level but also the underlying inflation rate and trend in the inflation rate when fitted to the livingston survey data the model appears to provide a unified explanation of price expectations in the united states from 1947 to 1975 this is contrasted with earlier investigations suggesting that expectations formation differed significantly in the periods before and after 1960

unspanned stochastic volatility and the pricing of commodity derivatives commodity derivatives are becoming an increasingly important part of the global derivatives market here we develop a tractable stochastic volatility model for pricing commodity derivatives the model features unspanned stochastic volatility quasi analytical prices of options on futures contracts and dynamics of the futures curve in terms of a low dimensional affine state vector we estimate the model on nymex crude oil derivatives using an extensive panel data set of 45 517 futures prices and 233 104 option prices spanning 4082 business days we find strong evidence for two predominantly unspanned volatility factors jel g13

pricing of options on commodity futures with stochastic term structures of convenience yields and interest rates we develop a model to value options on commodity futures in the presence of stochastic interest rates as well as stochastic convenience yields in the development of the model we distinguish between forward and future convenience yields a distinction that has not been recognized in the literature assuming normality of continuously compounded forward interest rates and convenience yields and log normality of the spot price of the underlying commodity we obtain closed form solutions generalizing the black scholes merton s formulas we provide numerical examples with realistic parameter values showing that both the effect of introducing stochastic convenience yields into the model and the effect of having a short time lag between the maturity of a european call option and the underlying futures contract have significant impact on the option prices

a theory of commodity price fluctuations this paper studies the price fluctuations of storable commodities that are traded in open markets and are subject to random shocks to demand or more particularly to supply it relaxes the common assumption that the shocks are identically and independently distributed in favor of temporally dependent and periodic disturbances the existence of a unique stationary rational expectations equilibrium is demonstrated for each of the models analyzed and testable implications of the models are derived an illustrative empirical investigation is then undertaken for the model with periodic disturbances using monthly time series observations for seven commodities over the period 1960 93

mean reversion in equilibrium asset prices evidence from the futures term structure we use the term structure of futures prices to test whether investors anticipate mean reversion in spot asset prices the empirical results indicate mean reversion in each market we examine for agricultural commodities and crude oil the magnitude of the estimated mean reversion is large for example point estimates indicate that 44 percent of a typical spot oil price shock is expected to be reversed over the subsequent eight months for metals the degree of mean reversion is substantially less but still statistically significant we detect only weak evidence of mean reversion in financial asset prices in this study we provide evidence of mean reversion in the prices of several real and financial assets rather than examining evidence of ex post reversion using time series of asset prices we use price data from futures contracts with varying delivery horizons to test whether investors expect asset prices to revert this approach offers two advantages first since futures prices are readily available for many markets our procedure can be implemented for many assets including those for which reliable spot price data is elusive second there is little ambiguity as to the source of any mean reversion detected using our method subject only to the maintained assumption that the no arbitrage cost of carry condition holds our test detects mean reversion that is expected to occur in equilibrium but has no power to detect mean reversion resulting from noise or inefficiencies our methodology focuses on relations between price levels and the slope of the futures term structure defined as the change across delivery dates in the futures prices observed on a given trading date an inverse relation between prices and the futures term slope constitutes evidence that investors expect mean reversion in spot prices to illustrate initially assume there are no

competitive storage and commodity price dynamics by buying cheap and selling dear risk neutral commodity speculators can smooth commodity prices and induce serial dependence in price even when none would exist under a simple process of supply and demand commodity prices are variable and strongly positively correlated from one year to the next the variability is often explained by supply factors and the autocorrelation by the activities of speculators we show that this explanation is not consistent with the evidence speculation can substantially increase autocorrelation for prices that are weakly autocorrelated in its absence but not to the high levels that are observed in the data

investment behaviour of dutch industrial firms a panel data study abstract this study describes a putty clay model of investment for a monopolistic firm in which factor price movements also affect expected output the specifications are tested on a set of panel data for individual dutch industrial firms factor prices are significant and expected output effects of factor prices dominate substitution effects in investment demand corrections are made for attrition and for measurement errors correction for attrition does not make an important difference but correction for measurement errors does

labor and investment demand at the firm level a comparison of french german and u s manufacturing 1970 79 we investigate how labor and investment demand at the firm level gross as well as net and replacement investment separately differs in french german and u s manufacturing and has changed since the 1974 75 crisis we use three consistent panel data samples of large firms for 1970 79 and rely on simple models of the accelerator profits type we find that the accelarator effects and the profits effects did not vary much between 1970 73 and 1976 79 and were quite comparable in the three countries the former being of a more permanent nature and the latter more transitory to a large extent these effects account for the important changes and differences in labor and investment demand between the two subperiods and across the three countries

the relation between firm growth and q with multiple capital goods theory and evidence from panel data on japanese firms we derive from a model of investment with multiple capital goods a one to one relation between the growth rate of the capital aggregate and the stock market based q we estimate the growth q relation using a panel of japanese manufacturing firms taking into account the endogeneity of q identification is achieved by combining the theoretical structure of the q model and an assumed serial correlation structure of the technology shock which is the error term in the growth q equation for early years of our sample cash flow has significant explanatory power over and above q the significance of cash flow disappears for more recent years for the heavy industry when japanese capital markets was liberalized the estimated q coefficient implies that the adjustment cost is less than a half of gross profits net of the adjustment cost

stochastic risk premiums stochastic skewness in currency options and stochastic discount factors in international economies abstract we develop models of stochastic discount factors in international economies that produce stochastic risk premiums and stochastic skewness in currency options we estimate the models using time series returns and option prices on three currency pairs that form a triangular relation estimation shows that the average risk premium in japan is larger than that in the us or the uk the global risk premium is more persistent and volatile than the country specific risk premiums and investors respond differently to different shocks we also identify high frequency jumps in each economy but find that only downside jumps are priced finally our analysis shows that the risk premiums are economically compatible with movements in stock and bond market fundamentals

a re examination of the q theory of investment using u s firm data investment models based on tobin s q are theoretically appealing but they have been an empirical disappointment when applied to aggregate time series data this paper explores two potential explanations for the poor empirical performance of q investment models problems arising from aggregation and imperfect competition the results suggest that aggregation is responsible for spurious evidence of dynamic misspecification and at least partially responsible for an upward bias in estimated adjustment costs the evidence also suggests that imperfect competition in output markets may have an effect on the investment behaviour of some firms