A comparison of futures and forward prices

This paper uses the pricing models of Cox, Ingersoll and Ross (1981), Richard and Sundaresan (1981), and French (1982) to examine the relation between futures and forward prices for copper and silver. There are significant differences between these prices. The average differences are generally consistent with the predictions of the futures and forward price models. However, these models are not helpful in describing intra-sample variations in the futures-forward price differences. This failure is apparently caused by measurement errors in both the price differences and in the explanatory variables.     

The relation between forward prices and futures prices

This paper consolidates the results of some recent work on the relation between forward prices and futures prices. It develops a number of propositions characterizing the two prices. These propositions contain several testable implications about the difference between forward and futures prices. Many of the propositions show that equilibrium forward and futures prices are equal to the values of particular assets, even though they are not in themselves asset prices. The paper then illustrates these results in the context of two valuation models and discusses the effects of taxes and other institutional factors.     

Transaction costs and asset prices: a dynamic equilibrium model

In this article we study the effects of transaction costs onasset prices. We assume an overlapping generations economy witha riskless, liquid bond, and many risky stocks carrying proportionaltransaction costs. We obtain stock prices and turnover in closedform. Surprisingly, a stock's price may increase in transactioncosts, and a more frequently traded stock may be less adverselyaffected by an increase in transaction costs. Calculations basedon the 'marginal' investor overestimate the effects of transactioncosts. For realistic parameter values, transaction costs havevery small effects on stock prices but large effects on turnover.     

Long memory in energy futures prices

This paper extends the work in Serletis [Serletis, A. (1992). Unit root behavior in energy futures prices. The Energy Journal 13, 119-128] by re-examining the empirical evidence for random walk type behavior in energy futures prices. It tests for fractional integrating dynamics in energy futures markets utilizing more recent data (from January 3, 1994 to June 30, 2005) and a new semi-parametric wavelet-based estimator, which is superior to the more prevalent GPH estimator (on the basis of Monte-Carlo evidence). We find new evidence that energy prices display long memory and that the particular form of long memory is anti-persistence, characterized by the variance of each series being dominated by high frequency (low wavelet scale) components.     

A macroeconomic model with asset equilibrium for an open economy

This article is concerned with the problem of the effects of monetary policy in an open economy in the long run. In order to analyze this problem under assumptions that are more suitable for long-run analysis than those of the usual IS-LM model a new model has been constructed with flexible prices, fixed exchange rates and a flexible capital stock. Within this framework it is found that the effectiveness of monetary policy crucially depends upon the degree of asset and goods arbitrage across national borders. Sufficient asset or goods arbitrage are both sufficient conditions to yield a zero effect of monetary policy except on foreign exchange reserves.     

An intemporal model of asset prices in a Markov economy with a limiting stationary distribution

A testable single-beta model of asset prices is presented. Ifstate variables have a long-run stationary joint dysfunction,then the rate return on a very long-term default-free discountbond will be perfectly correlated with the representative investor'smarginal utility of consumption. Thus, the covariance of anasset's return with the return on such a bond will be an appropriatemeasure of the asset's riskiness. The model can be, therefore,applied or tested even though the market portfolio or aggregateconsumption may not be observable. It also is shown that theexpected rate of return on a very long-term bond is equal toits variance. This proposition can be tested to determine whetherstate variables follow stationary processes.     

The forward premium in electricity futures

Understanding the nature of the forward premium is particularly crucial, but rather elusive, for a non-storable commodity such as wholesale electricity. Whilst forward prices emerge as the expectation of spot plus, or minus, an ex ante premium for risk, the manifestation and empirical analysis must focus upon realised ex post premiums. This presents modelling requirements to control for shocks to the spot expectation as well as the endogeneity of ex post premia with spot price outcomes. In addition, because electricity is a derived commodity in the sense that market prices are often set by technologies that convert gas or coal into power, it is an open question whether much of the premia in power may actually be a pass-through of the premia in gas (or coal). Using a four dimensional VAR model we are able to distinguish fundamental and behavioural aspects of price formation in both the daily and monthly forward premia from the British market. We present new evidence on daily and seasonal sign reversals, associated with demand cycles, the greater importance of behavioural adaptations in the risk premia than fundamental or spot market risk measures, and the substantial fuel risk pass-through. We also show the value of a nonlinear specification in this context.     

Risk premia in crude oil futures prices

If commercial producers or financial investors use futures contracts to hedge against commodity price risk, the arbitrageurs who take the other side of the contracts may receive compensation for their assumption of nondiversifiable risk in the form of positive expected returns from their positions. We show that this interaction can produce an affine factor structure to commodity futures prices, and develop new algorithms for estimation of such models using unbalanced data sets in which the duration of observed contracts changes with each observation. We document significant changes in oil futures risk premia since 2005, with the compensation to the long position smaller on average in more recent data. This observation is consistent with the claim that index-fund investing has become more important relative to commerical hedging in determining the structure of crude oil futures risk premia over time.     

Causal relationship between spot and futures prices with multiple time horizons: A nonparametric wavelet Granger causality test

This study investigates the causal information flow between 45 major daily spot returns and their corresponding futures in developing, emerging, and commodity indices through a novel nonparametric wavelet Granger causality test (NWGC) that is capable of detecting causality patterns in various time scales without any stationarity assumption or multivariate autoregressive modeling requirement. We provide new evidence for a complex causality pattern phenomenon. First, there may not be just one dichotomous answer about the Granger causality test for each market data in a time domain, as markets exhibit different causal information flows for different time scales. Second, each market may show distinct causality patterns compared to other markets.     

The equilibrium price of futures contracts: A result drawn from capital asset pricing model

A recent study shows that separation theorems in the stock and forward market literatures may not hold in an integrated financial market; therefore, the securities market may influence futures trading. This article investigates the securities market influence on the futures price. The result shows that although the futures price incorporates the investor's expectation about the future spot price, it generally is not a best estimate of the spot price. In addition, it is shown that the speculative activity can destabilize the cash market for some commodities, if initially, the underlying cash price is highly volatile.     

Security prices in a production economy with durable capital

Security prices and physical stocks of capital are determined jointly in a rational expectations economy as functions of a set of exogenous stochastic factors. Investors employ firm marginal productivity of capital to allocate savings across firms. Firm capital stocks adjust to exogenous shocks across many periods. Security price functions in period t are derived in the cases of constrained and unconstrained firm capital in t. The risk premia in security returns include two sets of terms. One set, corresponding to traditional asset pricing models, relates cash flows directly to the stochastic factors. The second set captures interfirm effects which arise because firm capital in each period t is durable.     

Intergenerational risksharing and equilibrium asset prices

In the presence of overlapping generations, a social security system, with contingent taxes and benefits, can affect both asset prices and intergenerational risksharing. In a simple model with two risky factors of production—human capital, owned by the young, and physical capital, owned by all older generations—a social security system that optimally shares risks exposes future generations to a share of the risk in physical capital. Such a system reduces precautionary saving and increases the riskbearing capacity of the economy. Under plausible conditions it increases the riskless interest rate, and lowers the price and risk premium of physical capital.     

The price of risk and ambiguity in an intertemporal general equilibrium model of asset prices

We consider a version of the intertemporal general equilibrium model of Cox et?al. (Econometrica 53:363–384, 1985) with a single production process and two correlated state variables. It is assumed that only one of them, Y ₂, has shocks correlated with those of the economy’s output rate and, simultaneously, that the representative agent is ambiguous about its stochastic process. This implies that changes in Y ₂ should be hedged and its uncertainty priced, with this price containing risk and ambiguity components. Ambiguity impacts asset pricing through two channels: the price of uncertainty associated with the ambiguous state variable, Y ₂, and the interest rate. With ambiguity, the equilibrium price of uncertainty associated with Y ₂ and the equilibrium interest rate can increase or decrease, depending on: (i) the correlations between the shocks in Y ₂ and those in the output rate and in the other state variable; (ii) the diffusion functions of the stochastic processes for Y ₂ and for the output rate; and (iii) the gradient of the value function with respect to Y ₂. As applications of our generic setting, we deduct the model of Longstaff and Schwartz (J Financ 47:1259–1282, 1992) for interest-rate-sensitive contingent claim pricing and the variance-risk price specification in the option pricing model of Heston (Rev Financ Stud 6:327–343, 1993). Additionally, it is obtained a variance-uncertainty price specification that can be used to obtain a closed-form solution for option pricing with ambiguity about stochastic variance.     

Asymmetric information and imperfect competition in a continuous time multivariate security model

This paper deals with the problem of price formation in a market with asymmetric information and several risky assets. We then extend the multivariate security model of Caballé and Krishnan (1994) to a continuous time framework, and general utility function. Our model enables us to observe some results which are specific to multi security markets such as Giffen effect. An application of the main result will be the non trivial generalizations of the models of Back (1992) and Cho (1997).Mathematics Subject Classification (1991): 49L10, 60G44, 90A15JEL Classification: G11, G12The author would like to thank his supervisor H. Pham, K. Back and an anonymous referee for useful comments and discussions.     

Asset prices and liquidity in an exchange economy

An asset-pricing model is developed, in which financial assets are valued for their liquidity—the extent to which they are useful in facilitating exchange—as well as for being claims to streams of consumption goods. The theory is used to study the implications of this liquidity channel for average asset returns, the equity-premium puzzle and the risk-free rate puzzle.     

Index-futures arbitrage and the behavior of stock index futures prices

This article examines intraday transaction data for S&P500 stock index futures prices and the intraday quotes for theunderlying index. The data indicate that the futures price changesare uncorrelated and that the variability of these price changesexceeds the variability of price changes in the S&P 500index. This excess variability of the futures over the indexremains even after controlling for the nonsynchronous pricesin the index quotes, which induces auto-correlation in the indexchanges. We advance and examine empirically two hypotheses regardingthe difference between the futures price and its theoreticalvalue: that this 'mispricing' increases on average with maturity,and that it is path-dependent. Evidence supporting these hypothesesis presented.     

Investor structure and the informational efficiency of commodity futures prices

This article investigates the impact of the trading positions of hedgers (i.e., producers, merchants, processors, or users of a commodity), speculators (i.e., commodity pool operators, trading advisors, or hedge funds), and swap dealers on the price formation process in the agricultural, metal, and energy futures markets. The hedgers' relative positions exert negative impacts on price efficiency in commodity futures markets. Hedgers are less likely to be information motivated, so their trading delays the price formation process. However, speculators' positions have positive impacts on price efficiency because speculators correct pricing errors. This study also offers evidence that the role of swap dealers, similar to speculators in futures markets, is to provide liquidity and cross-market arbitrage. These findings highlight the role of producers, hedge funds, and swap dealers in price formation processes in commodity futures—information that is beneficial to academics, practitioners, and regulators.     

Can the choice of interpolation method explain the difference between swap prices and futures prices?

The standard model linking the swap rate to the rates in a contemporaneous strip of futures interest rate contracts typically produces biased estimates of the swap rate. Institutional differences usually require some form of interpolation to be employed and may in principle explain this empirical result. Using Australian data, we find evidence consistent with this explanation and show that model performance is greatly improved if an alternative interpolation method is used. In doing so, we also provide the first published Australian evidence on the accuracy of the futures‐based approach to pricing interest rate swaps.