Disappointment aversion equilibrium in a futures market

This article examines the effect of disappointment aversion on the equilibrium in a commodity futures market. Consider a commodity market with a producer and a speculator. We show that the equilibrium price is positively related to either agent's risk or disappointment aversion, and to the market volatility. The market trading volume is positively related to the producer's risk or disappointment aversion, but negatively related to the speculator's risk or disappointment aversion. The producer lowers his or her reference point in response to an increase in the risk aversion or disappointment aversion of either agent, and to an increase in spot price volatility. The speculator raises his or her reference point when the producer becomes more risk averse or disappointment averse, or when the spot price becomes more volatile. A more disappointment‐averse speculator will lower his or her reference point. However, a more risk‐averse speculator raises (lowers) the reference point if he or she is less (more) risk averse than the producer. Numerical examples are provided to further support the above analytical results. © 2003 Wiley Periodicals, Inc. Jrl Fut Mark 23:135–150, 2003     

Production and hedging under Knightian uncertainty

This article introduces Knightian uncertainty into the production and futures hedging framework. The firm has imprecise information about the probability density function of spot or futures prices in the future. Decision‐making under such scenario follows the “max‐min” principle. It is shown that inertia in hedging behavior prevails under Knightian uncertainty. In a forward market, there is a region for the current forward price within which full hedge is the optimal hedging policy. This result may help explain why the one‐to‐one hedge ratio is commonly observed. Also inertia increases as the ambiguity with the probability density function increases. When hedging on futures markets with basis risk, inertia is established at the regression hedge ratio. Moreover, if only the futures price is subject to Knightian uncertainty, the utility function has no bearing on the possibility of inertia. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20: 397–404, 2000     

Estimation Uncertainty and the Equity Premium*

This paper studies a dynamic equilibrium model of asset prices in a partially observable exchange economy. It shows that the precautionary savings motive in response to estimation uncertainty can dominate the risk aversion effect, resulting in the reduction of the equity premium over short horizons. This exacerbates the equity premium puzzle. Over longer holding horizons, however, estimation uncertainty does induce higher risk premiums on equity over risk‐free coupon bonds of matching maturities, as long‐term bond yields are lowered due to the precautionary savings effect.     

THE INCENTIVES OF HEDGE FUND FEES AND HIGH‐WATER MARKS

Hedge fund managers receive a large fraction of their funds' profits, paid when funds exceed their high‐water marks. We study the incentives of such performance fees. A manager with long‐horizon, constant investment opportunities and relative risk aversion, chooses a constant Merton portfolio. However, the effective risk aversion shrinks toward one in proportion to performance fees. Risk shifting implications are ambiguous and depend on the manager's own risk aversion. Managers with equal investment opportunities but different performance fees and risk aversions may coexist in a competitive equilibrium. The resulting leverage increases with performance fees—a prediction that we confirm empirically.     

Convergence of utility indifference prices to the superreplication price in a multiple‐priors framework

This paper formulates a utility indifference pricing model for investors trading in a discrete time financial market under nondominated model uncertainty. Investor preferences are described by possibly random utility functions defined on the positive axis. We prove that when the investors's absolute risk aversion tends to infinity, the multiple‐priors utility indifference prices of a contingent claim converge to its multiple‐priors superreplication price. We also revisit the notion of certainty equivalent for multiple‐priors and establish its relation with risk aversion.     

An Analysis of Mercosur's Regional Trading Arrangements

After six years of stop‐start negotiations, Mercosur is no closer to signing a regional trading agreement (RTA) with the EU, whilst negotiations to finalise a Free Trade of the Americas Agreement (FTAA) have also stalled. This is due to various factors: economic crises in Mercosur, intransigence by member countries and uncertainty surrounding the outcome of the Doha Round. Estimates from the trade literature predict welfare gains to Mercosur from both RTAs whilst only one study assesses the additional benefits of removing non‐tariff barrier (NTB) trade costs which have remained largely unchallenged within the multilateral forum. In this paper, we improve the treatment of NTB estimates employing a theoretically consistent gravity specification, where calculated tariff‐equivalent estimates are subsequently implemented into a modified computable general equilibrium (CGE) model. Relative to a realistic baseline, and incorporating trade‐induced productivity and capital accumulation effects, we reassess the benefits of both regional initiatives to Mercosur, revisiting the claim that NTB trade cost abolition doubles the ‘standard’ welfare estimates. Contrary to previous studies, the results suggest that an FTAA yields greater gains to Mercosur than an EU RTA whilst the claim of Monteagudo and Watanuki (2003 ) pertaining to trade cost elimination is understated.     

Asymmetric effects of demand uncertainty on intrafirm trade in durable and non‐durable industries

This paper unveils a new empirical regularity regarding the asymmetric patterns of international sourcing modes in the durable and non‐durable industries under uncertainty, and explains the asymmetry based on the traditional lens of the transaction cost economics. Under demand uncertainty, firms face trade‐offs between outsourcing and vertical integration: while outsourcing requires less initial investment and allows easier market entry and exit, vertical integration offers better management and communication systems. In the durable industries, consistent with the transaction cost economics, the relationship between vertical integration and uncertainty is positive. In the nondurable industries, however, such relationship is weaker because inelastic demand and shorter gaps between production and sales mitigate the effect of uncertainty. I show the asymmetric effects of uncertainty based on a simple general equilibrium model and provide consistent empirical evidence using US intrafirm trade and microeconomic uncertainty data.     

The Heckscher-Ohlin and Travis-Vanek theorems under uncertainty

The Heckscher-Ohlin theorem is valid under uncertainty of the special benchmark sort modelled by Helpman-Razin. Their pessimism over its validity is vanquished by more structure: rational expectations are imposed on consumers and identical and constant relative aversion to income risk is assumed. Under these circumstances, with free commodity trade, the Heckscher-Ohlin theorem holds for the international exchange of equities.     

Sanitary and phytosanitary measures in international trade: policy considerations vs. economic reasoning

Sanitary and phytosanitary (SPS) measures are one form of non‐tariff international trade barrier with the objective of requiring consumer and intermediate goods to be safe and to provide information to protect consumers from deceptive practices. However, such barriers could severely restrict trade. The central strategy of the World Trade Organization's (WTO) SPS Agreement is to use science to distinguish between those SPS measures consistent with the Agreement and those in violation of the Agreement. SPS measures belong to what is known as trans‐science questions or questions which can be asked of science and yet which cannot be answered by science. Because of the presence of scientific uncertainty, science policies adopted by members should be identified by the WTO. WTO panels should not, however, establish scientific policies. Prohibitive measures would seem rather incompatible with the role the WTO assumed trying to promote free trade. Rather, facilitating the distribution of available information regarding SPS and food safety risk, or a lack of it, to consumers in importing countries would help them to make better informed decisions according to their own preferences and risk aversion.     

MEAN–VARIANCE PORTFOLIO OPTIMIZATION WITH STATE‐DEPENDENT RISK AVERSION

The objective of this paper is to study the mean–variance portfolio optimization in continuous time. Since this problem is time inconsistent we attack it by placing the problem within a game theoretic framework and look for subgame perfect Nash equilibrium strategies. This particular problem has already been studied in Basak and Chabakauri where the authors assumed a constant risk aversion parameter. This assumption leads to an equilibrium control where the dollar amount invested in the risky asset is independent of current wealth, and we argue that this result is unrealistic from an economic point of view. In order to have a more realistic model we instead study the case when the risk aversion depends dynamically on current wealth. This is a substantially more complicated problem than the one with constant risk aversion but, using the general theory of time‐inconsistent control developed in Björk and Murgoci, we provide a fairly detailed analysis on the general case. In particular, when the risk aversion is inversely proportional to wealth, we provide an analytical solution where the equilibrium dollar amount invested in the risky asset is proportional to current wealth. The equilibrium for this model thus appears more reasonable than the one for the model with constant risk aversion.     

INCORPORATING RISK AND AMBIGUITY AVERSION INTO A HYBRID MODEL OF DEFAULT

It is well known that purely structural models of default cannot explain short‐term credit spreads, while purely intensity‐based models lead to completely unpredictable default events. Here we introduce a hybrid model of default, in which a firm enters a “distressed” state once its nontradable credit worthiness index hits a critical level. The distressed firm then defaults upon the next arrival of a Poisson process. To value defaultable bonds and credit default swaps (CDSs), we introduce the concept of robust indifference pricing. This paradigm incorporates both risk aversion and model uncertainty. In robust indifference pricing, the optimization problem is modified to include optimizing over a set of candidate measures, in addition to optimizing over trading strategies, subject to a measure dependent penalty. Using our model and valuation framework, we derive analytical solutions for bond yields and CDS spreads, and find that while ambiguity aversion plays a similar role to risk aversion, it also has distinct effects. In particular, ambiguity aversion allows for significant short‐term spreads.     

Small Hubs,Large Spokes and Overlapping Free Trade Agreements

The proliferation of overlapping free trade agreements (FTA) in recent years has led to pair‐wise hub‐and‐spokes (HAS) throughout the world. Being avid subscribers to FTAs, many countries in the Asia‐Pacific region, including the United States, Japan, Singapore, South Korea, Thailand and Australia, have become trade hubs to their partners who are in turn relegated to spoke status. In this paper, we question whether being a hub is welfare optimal for a small and open economy such as Singapore compared to membership in a single bilateral FTA or a multi‐member free trade zone. Within this context, we use a computable general equilibrium model to examine the welfare implications of the triangular trade relationship of the United States, Singapore and Japan. This is facilitated by the Japan–Singapore Economic Partnership Agreement, the USA–Singapore Free Trade Agreement, and a hypothetical USA–Japan Economic Partnership Agreement. The analysis is extended to incorporate ‘super‐hub’ effects, that is, the spoke countries could be trade hubs in other HAS systems. Our experiment reveals that hub status generates positive welfare gain and is the highest Singapore can get from the trade configurations considered. Meanwhile, Japan loses more than the USA when both are relegated to spoke status. These findings prove to be robust under different market structures and production technologies, deeper economic integration, ‘super‐hub’ effects, as well as uncertainty in the key model parameters and the extent of trade liberalisation shocks.     

The effect of exchange rate uncertainty on the prices and volume of international trade

By specifying a model of differential risk-bearing by import demand and export supply sides of the market for traded goods, the theoretical impact of exchange risk on both equilibrium prices and quantities is analyzed. For several empirical cases of 1965–1975 U.S. and German trade it is found that exchange rate uncertainty has had a significant impact on prices but no significant effect on the volume of trade. These price effects support previous survey results on the currency denomination of export contracts, namely that with the exception of some U.S. imports, most trade is largely denominated in the exporter's currency.     

Option Pricing With V. G. Martingale Components1

European call options are priced when the uncertainty driving the stock price follows the V. G. stochastic process (Madan and Seneta 1990). the incomplete markets equilibrium change of measure is approximated and identified using the log return mean, variance, and kurtosis. an exact equilibrium interpretation is also provided, allowing inference about relative risk aversion coefficients from option prices. Relative to Black-Scholes, V. G. option values are higher, particularly so for out of the money options with long maturity on stocks with high means, low variances, and high kurtosis.     

Acquisition of Market Information,Returns to Scale and the Viability of Competitive Equilibrium

In this paper the economies of scale arising from the acquisition of costly information and their implications for the existence of a competitive equilibrium are investigated. As is known, the existence of economies in the scale of production undermines the possibility of a competitive equilibrium. This paper demonstrates that this kind of problem arises when firms face market uncertainty, i.e. in competitive markets, uncertainty about the price of production factors or about the price of output. It is shown that, under these circumstances, firms have incentives to purchase market information, i.e. information capable of reducing price uncertainty. In turn, the acquisition of costly information generates economies of scale that prevent the occurrence of a competitive equilibrium, unless such increasing returns to scale are tamed by the decreasing utility of uncertain returns due to risk aversion, or—in the short run—by increasing marginal costs of production.     

Response to price and production risk: The case of Australian wheat

A model of Australian wheat grower supply response was specified under the constrainsts of price and yield uncertainty, risk aversion, partial adjustment, and quadratic costs. The model was solved to obtain area planted. The results of estimation indicate that risk arising from prices and climate have had a significant influence on producer decision making. The coefficient of relative risk aversion and short‐run and long‐run elasticities of supply with respect to price were calculated. Wheat growers' risk premium, expected at the start of the season for exposed price and yield risk, was 2.8 percent of revenue or 10.4 percent of profit as measured by producer surplus. © 2000 John Wiley & Sons, Inc. Jrl Fut Mark 20: 345–359, 2000.     

Speculation,rational expectations,and stability of the foreign exchange market

This paper uses Muth's model of rational expectations to analyze foreign exchange speculation under floating exchange rates when a trade balance ‘J-curve effect’ exists. It extends the existing literature by basing speculative behavior explicity on maximizing behavior, by relating expectations to the underlying structure of the model, i.e. by assuming rational expectations, and by explicitly incorporating uncertainty. A surprising result is that, if speculation takes place, decreases in risk aversion increase the variance of the exchange rate.     

Risk aversion,disappointment aversion,and futures hedging

This article examines the effect of disappointment aversion on futures hedging. We incorporated a constant‐absolute‐risk‐aversion (CARA) utility function into the disappointment‐aversion framework of Gul (1991). It is shown that a more disappointment‐averse hedger will choose an optimal futures position closer to the minimum‐variance hedge than will a less‐disappointment‐averse hedger. The effect of disappointment aversion is stronger when the hedger is less risk averse. A small disappointment aversion will cause a near‐risk neutral hedger to take a drastically different position. In addition, a more‐risk‐averse or disappointment‐averse hedger will have a lower reference point. Numerical results indicate that the reference point of a disappointment‐averse hedger tends to be lower than that of a conventional loss‐averse hedger. Consequently, the disappointment‐averse hedger will act more conservatively, not exploiting profitable opportunities as much as the conventional loss averse hedger will. © 2002 John Wiley & Sons, Inc. Jrl Fut Mark 22:123–141, 2002     

LONG HORIZONS,HIGH RISK AVERSION,AND ENDOGENOUS SPREADS

For an investor with constant absolute risk aversion and a long horizon, who trades in a market with constant investment opportunities and small proportional transaction costs, we obtain explicitly the optimal investment policy, its implied welfare, liquidity premium, and trading volume. We identify these quantities as the limits of their isoelastic counterparts for high levels of risk aversion. The results are robust with respect to finite horizons, and extend to multiple uncorrelated risky assets. In this setting, we study a Stackelberg equilibrium, led by a risk‐neutral, monopolistic market maker who sets the spread as to maximize profits. The resulting endogenous spread depends on investment opportunities only, and is of the order of a few percentage points for realistic parameter values.     

Which manufacturing industries and sectors are most vulnerable to Brexit?

When the UK leaves the EU, trade arrangements between the UK and EU will change. Most of the options for future UK‐EU relationships currently under discussion imply increased trade barriers, which will reduce trade and also have effects on output and prices. In this paper, we use a multi‐market partial equilibrium model to analyse the vulnerability of 122 manufacturing industries to Brexit. In all five Brexit scenarios we model, there is an overall reduction in UK manufacturing output. Output grows in some industries but at the expense of higher consumer and intermediate goods prices. High tech and medium–high tech sectors are more at risk of a decline in domestic production than lower tech sectors. In most areas of the country, demand for high‐skilled workers falls more than for medium and low‐skilled workers.