77247 THE WORLD BANK ECONOMIC REVIEW, VOL. 11, NO. 2: 263-92 Managing Price Risk in the Pakistan Wheat Market Rashid Faruqee, Jonathan R. Coleman, and Tom Scott The government intervenes in the wheat market in Pakistan to ensure food security for consumers and to provide adequate and stable incomes for producers. The cost of this intervention is high, and its impact on the performance of agriculture has been signifi- cantly negative. The World Bank is urging policy changes such as removing agricul- tural trade restrictions, price supports, and subsidies. However, policymakers often resist such reforms, fearing that they will expose the domestic market to fluctuating international commodity prices. This article assesses the risk management needs of the sector and evaluates whether using financial instruments—such as commodity hedging using futures, options, or swaps—would improve risk management. Simulations based on monthly data for 1994 show that market-based methods of risk management could reduce the impact of in- ternational price volatility on the domestic market without incurring high government cost or distorting price signals. The Pakistan government has long intervened in the wheat sector because of its importance as Pakistan's leading agricultural commodity. Interventions in the sector seem to have two objectives—to protect the interests of consumers by keeping the domestic price below the import parity price and to protect the interests of producers by reducing price fluctuations and guaranteeing a support price. Foremost among the mechanisms used to meet the first objective, the gov- ernment has set an import subsidy to keep domestic prices below import parity levels and has banned private sector trading on international markets. Although the government has succeeded in stabilizing wheat prices, the policy has had a significant economic cost in that it distorts the market signals facing farmers and private traders throughout the sector. The direct link between these signals and the volatile international price of wheat makes subsidy payments to wheat farm- ers both large arid highly unstable. Policymakers generally recognize the need to end the highly distortionary policy of keeping domestic wheat prices artificially low. However, they fear the pos- sible short-run economic and political repercussions of agricultural price insta- bility that would accompany the phasing out of public sector direct intervention in wheat marketing. They hesitate to implement market liberalization policies fully in the absence of alternative price stabilization mechanisms. (See Claessens Rashid Faruqee and Jonathan R. Coleman are with the Agriculture and Natural Resources Division of the South Asia Region at the World Bank. Tom Scott is with Sparks Companies, Memphis, Tennessee. This research was funded by the World Bank's Research Support Budget (RPO 679-70). © 1997 The International Bank for Reconstruction and Development / THE WORLD BANK 263 264 THE WORLD BANK ECONOMIC REVIEW, VOL 11, NO. 2 and Duncan 1993 and Gilbert 1993 on the stability of international commodity prices.) Developing countries' interest in market-based risk management techniques, including the use of commodity futures, options, and swaps, has grown signifi- cantly in recent years. The use of such financial instruments could provide Paki- stan with an attractive method of managing its price risk, as long as the mecha- nisms are understood well and used appropriately. Because they require less government intervention and are more cost-effective than alternative approaches, financial risk management instruments may be preferable to more intervention- ist stabilization methods in Pakistan. This study deals with price risk of the wheat crop in Pakistan. It has two major objectives. First, it seeks to assess the risk management needs, if any, of the wheat sector by identifying the market participants and institutions exposed to risk and measuring the levels of those risks. Second, it seeks to evaluate whether market-based financial instruments would provide a less distortionary method of managing price risks than the stabilization methods currently used in the wheat sector. This study adds to the growing body of research on how developing countries can hedge the risk associated with fluctuating agricultural commodity prices. The recent World Bank book by Claessens and Duncan (1993), Managing Com- modity Price Risk in Developing Countries, contains eleven case studies. These case studies and others in the academic literature are fairly limited in their scope and coverage. They focus largely on exporting countries in Latin America and Africa. And they concentrate on a somewhat limited group of agricultural com- modities, mainly cocoa, coffee, and cotton. See, for example, Myers (1993) and Claessens and Varangis (1993) on Costa Rican coffee exports; Satyanarayan, Thigpen, and Varangis (1993) on francophone African cotton exports; Varangis, Thigpen, and Akiyama (1993) on Egyptian cotton exports; and Claessens and Coleman (1993) on Papua New Guinea's gold, copper, coffee, cocoa, logs, and palm oil exports. Few studies have been undertaken on hedging in the grain market. Larson (1993) examines the management of price risks for maize imports in Mexico. Much of Larson's paper concerns domestic price stabilization using variable border tariffs and subsidies to keep domestic prices within a price band. The study includes a discussion of how the government could use options to man- age the risk of international price movements that would require subsidy payments to keep domestic prices within the price band. Sheales and Tomek (1987) examine the effectiveness of hedging wheat prices in Australia using U.S. futures markets. Faruqee and Coleman (1996) review these studies in more detail. To date, very little work has been done from the perspective of a developing- country importer wishing to hedge price risk in the world grain markets, and very few studies have looked at the prospects for commodity hedging in Asian countries. So, although this article focuses on hedging wheat in Pakistan, it has Faruqee, Coleman, and Scott 26S wider relevance to other Asian countries that rely heavily on grain imports to meet their food consumption needs. I. WHEAT PRICE SYSTEM AND INCIDENCE OF PRICE RISKS Determining the risk management needs of the wheat sector requires analyz- ing the various prices facing different market participants. Market participants facing prices fixed by the government have no price risk, whereas those facing highly unstable prices are likely to be the most interested in risk management. Prices and Subsidies The provincial food departments (PFDS) in Pakistan are the chief institutions through which the government implements its price support policy. The law requires PFDs to purchase any volume of wheat delivered to them as long as the wheat meets certain quality standards. The predetermined price paid to farmers is known as the procurement price. Because PFDs must accept all deliveries, the procurement price becomes a floor below which the free market price cannot fall. This price is fixed throughout the year and is constant across all centers nationwide. Provincial food departments sell the majority of their wheat to pri- vate flour mills at the release, or issue, price, which is set at the same level in all areas of the country. This policy aims to control the price of wheat at the whole- sale level (although small differences between the release and wholesale prices do result from transportation margins and quality premiums), thereby reducing the price of flour to consumers (because wheat represents a large share of the total cost of producing flour). The policy of artificially depressing prices is costly to the economy and the government. The price policy has a significant economic cost in that it distorts the market signals facing farmers and private traders throughout the sector (World Bank 1994). In particular, the system of pan-territorial pricing weakens private sector incentives for wheat transportation, while pan-seasonal pricing provides disincentives for private sector storage. The system incurs subsidies, paid mainly by the provincial governments, be- cause revenues received by the PFDS from the sale of wheat (at the release price) are generally less than the cost of procuring wheat (the procurement price plus transport, handling, and storage charges). Between 1984-85 and 1993-94, the average annual subsidy amounted to 340 rupees (PRs) per ton, approximately 18 percent of the procurement price. The total subsidy payments ranged from PRs533 million in 1984-85 to PRs3.3 billion in 1986-87 and averaged PRsl.3 billion over the 1984-93 period.1 The highest level of government decides the level of wheat imports. The Min- istry of Agriculture implements the import of wheat and handles the financing of imports, including foreign aid and ocean shipping. The level of wheat imports depends on several factors, including the level of public sector stocks, the ex- 1. A billion is 1,000 million. 266 THE WORLD BANK ECONOMIC REVIEW, VOL 11, NO. 2 pected procurement of domestic output, the handling capacity of ports, the level of reserve stocks, the conditions of the international wheat market, and foreign exchange reserves. The PFDs buy imported wheat from the federal government at the same release price at which they sell domestically produced wheat to private millers. In addi- tion, they pay the in-country transportation costs. In general, the government, buying at the CiF (the value including the cost, insurance, and freight) import price, pays more than it receives from selling to the PFDS at the release price. A specific federal budget allocation for imported wheat subsidies finances this margin between the CIF import price and the release price. In 1993-94 this subsidy amounted to PRs590 per ton. Given total imports for 1993-94 of approximately 1.9 million tons, the government incurred a total subsidy payment of about PRsl.l billion. This subsidy payment per ton has been quite variable over time, ranging between PRs341 per ton in 1987-88 and PRsl,660 per ton in 1989-90. Total subsidy payments have also fluctuated dra- matically, as a result of both variations in the subsidy per ton and the level of imports. For example, the total subsidy payment was only PRs205 million in 1987-88 (when only 601,000 tons were imported), compared with PRs2.9 bil- lion the next year (when imports exceeded 2 million tons). Thus the government's intervention in the wheat market has two main objec- tives. It achieves the first objective, to reduce the average price paid by consum- ers vis-a-vis the import parity price, by setting the release price below the inter- national price and making up the difference with a government subsidy. Over the period May 1980 to April 1995, the government subsidy was about PRsl,000 per ton. It achieves the second objective, to protect producers against the fluc- tuations of international commodity prices, by establishing a fixed procurement price below which domestic prices do not fall. Over the period May 1980 to April 1995, the coefficient of variation on the procurement price was about 6 percent, compared with 14 percent for the import parity price. This article fo- cuses on the second objective of price stabilization. Although the government could adopt several methods of stabilizing prices, such as the use of buffer stocks or a buffer fund (see Faruqee and Coleman 1996, annex II), here we explore an alternative that involves hedging risk using financial instruments. Thus we com- pare the use of hedging only with the current method of stabilization, without looking at alternative methods. Incidence of Price Risk We measure the level of price risk facing different market participants by the standard deviation and coefficient of variation (the ratio of the standard devia- tion to the mean) of prices paid and received over time (a 16-year period be- tween May 1980 and April 1995). Table 1 reports the domestic prices and results. In terms of price exposure, the results show that domestic farmers and private traders face relatively little price risk. The government-determined prices have Faruqee, Colentan, and Scott 267 Table 1. Measures of Price Variability in Pakistan, May 1980-April 1995 Standard Coefficient of Price per ton Mean deviation variation (percent) Procurement price (rupees) 2,566 163.6 6.4 Release price (rupees) 2,645 154.2 5.8 Wholesale price (rupees) Lahore 3,044 254.6 8.4 Multan 2,809 222.4 7.9 FOB Pacific Northwest (U.S. dollars) 158.5 27.3 17.2 CIF Karachi (U.S. dollars) 187.6 38.6 20.6 CIF Karachi (rupees) 3,778 532.7 14.1 FOB Pacific Northwest with EEP (U.S. dollars) 154.3 31.6 20.5 CIF Karachi with EEP (U.S. dollars) 183.4 42.4 23.1 CIF Karachi with EEP (rupees) 3,687 614.6 16.7 Government import subsidy (rupees) 1,042 617.6 59.3 Note: Prices are deflated by the producer price index. Lahore and Multan are cities in Pakistan, FOB denotes free on board (used to value exports); CIF denotes cost, insurance, and freight (used to value imports); and EEP denotes the U.S. government's Export Enhancement Program. Source: Government of Pakistan (1995) and International Wheat Council (various issues). coefficients of variation of 6.4 and 5.8 for the procurement price and release price, respectively (table 1). Wholesale wheat prices in the cities of Lahore and Multan have also varied very little since the early 1980s, with coefficients of variation of about 8 percent. By contrast, international prices have been substantially more volatile than domestic prices. The U.S. dollar price of wheat at Pacific Northwest ports has a coefficient of variation of 17.2 percent; when freight charges are included, the figure rises to 20.6 percent (table 1). Interestingly, when we use the Karachi U.S. dollar price to convert the price of wheat into rupees, the instability of the price series declines considerably with a coefficient of variation of only 14.1 percent. One explanation for this change is that although wheat prices and freight costs have declined in real terms over time, the value of the rupee in terms of the U.S. dollar has fallen. As a result, the decline in the commodity price has been offset by the change in the exchange rate, with the net effect that the international price in rupees has remained relatively stable. The U.S. Export Enhancement Program (EEP) was introduced in 1985 to boost exports of U.S. agricultural products following their precipitous de- cline in the first half of the 1980s. The EEP pays subsidies to U.S. exporters to allow them to sell agricultural products in targeted countries at competitive prices (below U.S. market prices). The program helps U.S. products meet subsidized competition, expands U.S. agricultural exports, and encourages negotiations on agricultural trade problems. Wheat is the chief commodity sold under the EEP (accounting for more than 85 percent of the sales value of all EEP commodities), and EEP sales account for 50 percent of total U.S. wheat exports since 1985. 268 THE WORLD BANK ECONOMIC REVIEW, VOL. 11, NO. 2 The EEP subsidies have increased the instability of wheat prices considerably, with the U.S. dollar prices at Pacific Northwest ports and at Karachi having coefficients of variation in excess of 20 percent (table 1). It is important to note that comparing the coefficients of variation of prices with and without EEP sub- sidies overestimates the impact of these export subsidies on variability, because the EEP subsidies lower the average price (the denominator in the coefficient of variation calculation), thereby giving rise to an increase in the coefficient of variation for a fixed standard deviation. Finally, we measure the government's price risk exposure by the variability of subsidy payments per ton (simplified as the CIF price measured in rupees less the release price). The coefficient of varia- tion of this subsidy series is almost 60 percent, indicating that in a typical year subsidy payments will be 60 percent above or below the average payment. This indicates the high degree of instability and risk that the government faces each year. These findings have several important implications for risk management. They indicate that the government has been successful in stabilizing prices through its procurement and policy of fixed producer and miller prices. Because of its distortionary impact on economic incentives and because there may be more effective and less costly methods of price stabilization, the policy may neverthe- less be inadvisable. Another important implication for risk management is that given the current policy regime, farmers and millers have little incentive to man- age risk on their own behalf. In effect, the government has crowded out private sector risk management, and farmers and millers have little need to worry about fluctuating prices when making production and investment decisions. Price stabilization policies involving government procurement and pricing do not remove price risk from the economy as a whole but merely transfer the risk within the economy. The policies transfer the risk from wheat market partici- pants in the form of unstable prices to the government (and ultimately to tax- payers) in the form of unstable subsidy payments. II. PRICE STABILIZATION, HEDGING, AND THE ROLE OF GOVERNMENT Under the existing system, the government stabilizes wheat prices for farmers and traders through its price and procurement policies. In the short term, such government intervention may be justified because market failures, such as the lack of available market information, unfamiliarity of farmers with risk man- agement techniques, and absence of an effective system of brokerage, prevent market participants from engaging in price risk management through the pri- vate sector. In the long term, however, the government should stop its direct intervention and instead focus on providing economic and institutional condi- tions conducive to private sector risk management activities, including the es- tablishment of futures exchanges in Pakistan. There are several strong economic arguments against government interven- tion. For example, government stabilization of commodity markets generally Faruqee, Coleman, and Scott 269 constrains the active participation of the private sector, particularly in storage, transportation, and general trading activities. This is of great relevance to Paki- stan, which has a system of pan-seasonal and pan-territorial pricing. This sys- tem has seriously weakened the economic incentives for private sector involve- ment in storage and transportation. Price stabilization also leads to welfare losses associated with the failure of producers and consumers to react to market sig- nals (Massell 1969). For instance, if producers are insulated from the market through a government stabilization scheme, they will tend to overproduce in periods of lower international prices when domestic prices are artificially raised, and to underproduce in periods of high international prices when domestic prices are artificially lowered. Further, stabilizing prices does not stabilize income or profit. Instead, stabilizing prices with year to year fluctuations in production would result in greater income instability than if prices were allowed to adjust to the level of supplies (Thomas 1985). Stabilization schemes are difficult to imple- ment, often requiring huge bureaucracies. They are also expensive (stabilization can be so expensive to operate that the costs of operating the program outweigh any benefits that might accrue to producers and consumers) and highly prone to political manipulation, as experience from many countries has shown (Knudsen and Nash 1990). Although economic arguments generally do not support price stabilization by the government, considerable social and political pressures do. However, there may be ways to provide stabilization that are less distorting of economic incen- tives and that are more consistent with the market and trade liberalization re- forms currently taking place in Pakistan. Under the current system, the government pools the price risk of wheat farm- ers and traders and assumes it in the form of unstable subsidy payments. Having assumed the risk, however, the government can employ mechanisms with which to transfer the risk to entities willing and able to take it on. One way of transfer- ring this risk would be to hedge the price of wheat with futures markets. Hedg- ing involves the buying and selling of financial assets whose values are linked to the underlying commodity markets. Four major types of hedging instruments can be used—forward contracts, futures contracts, options, and swaps. Manag- ing price risks through these mechanisms could be highly beneficial to Pakistan because doing so facilitates better financial management and planning and al- lows buyers and sellers of commodities to protect themselves against the poten- tially catastrophic consequences of sudden and unforeseen changes in market conditions. In the long term, however, the government should phase out direct interven- tion (including public sector hedging activities) and confine itself to establishing economic conditions supportive of private sector hedging activities. The govern- ment should also provide the preconditions to set up commodity futures ex- changes in Pakistan. (Several developing countries have established local futures and options exchanges. Examples include Argentina for grains and livestock; Brazil for livestock, coffee, cotton, and gold; China for various metals and agri- 270 THE WORLD BANK ECONOMIC REVIEW, VOL 11, NO. 2 cultural commodities; Hungary for grains and hogs; India for pepper; Malaysia for palm oil, tin, and cocoa; the Philippines for copra, sugar, coffee, soybeans, and dry coconut; and Zimbabwe for corn and beans.) For the private sector to engage in hedging activities using U.S. futures ex- changes, the government should remove the obstacles that deter their use. Varangis (1994) identifies several such obstacles that are common in many developing countries, including Pakistan. First, legal and regulatory barriers prevent market- based hedging. Foreign exchange controls, for example, which are common in many developing countries, can make hedging impossible. In terms of regula- tory barriers, since the structural adjustment program in Pakistan was intro- duced, financial markets have become increasingly liberalized, and most foreign exchange controls have been lifted. In particular, there are no controls on trans- actions on the current account, including goods, services, and transfers. There are restrictions on the capital account; however, no current laws or statutes automatically prohibit hedging in commodities futures markets by Pakistani residents. Second, the current system of fixing procurement and release prices for the whole season and announcing the prices well before planting means that private farmers and traders do not need to manage their own risk. Third, farmers and traders lack familiarity with futures markets and expertise in how to use them. In some developing countries the misconception that hedging is a form of specu- lation presents a major obstacle. Fourth, misunderstanding the tradeoffs between risks and returns can lead to the perception that hedging strategies that result in higher total import bills are counterproductive. Fifth, some hedging instruments require up-front costs that can represent obstacles for some potential market participants. Option contracts, for example, require a premium, futures con- tracts require a margin, and some forms of financial collateral may be required for swaps and over-the-counter arrangements. Also in the long term, and as an alternative to hedging on U.S. exchanges, Pakistan could establish local exchanges. Varangis and Larson (1996) identify several preconditions for establishing futures exchanges in developing countries. These are highly relevant to setting up a wheat exchange in Pakistan, and an important future role of the government would be to ensure that such precondi- tions are met. These include the development of infrastructure in areas such as communications, transportation, and information processing; strong commer- cial and financial sectors; the absence of government intervention in the wheat market; a strong legal and regulatory framework in establishing a futures mar- ket; and sufficient capital among potential market participants to forestall counterparty risk (that is, sufficient capital to form a viable clearing entity). Although not insurmountable in the long term, such conditions are not likely to emerge in the short term. Establishment of a wheat futures market would benefit Pakistan by improv- ing price discovery and reducing basis risk. (The basis risk is the difference be- tween the futures price in the United States and the market price in Pakistan.) A Faruqee, Coleman, and Scott 271 futures market would reduce the basis risk by specifying wheat contracts for the varieties and qualities of local wheat and for delivery within the country (in Lahore or Karachi, for example). Other benefits include more publicly available information on wheat prices, improved transmission of price and other com- modity information, improved credit systems, more responsive capital markets, uniformity in repayment rules and market surveillance, reduced transactions costs, and more accurate forward prices (Varangis and Larson 1996). In the next section, we compare these factors with the benefits and costs of using U.S. futures exchanges. U.S. exchanges have an advantage because they have well-established rules and regulations and are very liquid. Higher levels of liquidity mean reduced transactions costs that can outweigh the basis and ex- change rate risks. The main disadvantage of using a U.S.-based exchange is that the basis risk and exchange rate risk can be large. Overall, however, the advan- tages outweigh the disadvantages, and Pakistan should use U.S. exchanges until it can set up viable domestic exchanges. HI. EFFECTIVENESS OF HEDGING WHEAT PRICE RISK Even with no legal and institutional barriers and no informational or aware- ness constraints, hedging still might not provide Pakistan with an effective means of managing its commodity price risk. The effectiveness of hedging depends on the nature of the commodity traded, the timing of purchases, land and ocean transportation charges, exchange rate movements, export subsidies, and other policy variables—factors that disassociate the prices quoted on the commodity exchanges with those actually paid by importers in Pakistan. All of these factors create a difference between the prices quoted on commodity exchanges and the prices actually paid by wheat importers. Greater unpredictability in the basis, or the difference between the two prices, reduces the effectiveness of managing risk by hedging. By observing the basis over time, experienced hedgers are able to predict the basis with a good degree of accuracy. Unforeseen differences between the futures contracts and cash prices result in an unpredicted basis. This risk, the basis risk, cannot be managed by hedging. Because hedging does not elimi- nate all uncertainty, it can be viewed as merely substituting basis risk for price risk. Overall risk is nevertheless reduced because basis risk is consider- ably less than price risk (because cash and futures prices tend to be closely correlated). Analysts commonly test for the correlation between cash prices of govern- ment wheat purchases on the international market and wheat futures prices by regressing a time series of nearby futures contract prices on the corresponding cash price series (nearby prices are the prices closest to the expiration date). The higher the correlation, as measured by the R2 statistic, the greater the extent to which movements in cash prices can be explained by movements in futures prices and therefore the more effective the hedging operations. We can measure the 272 THE WORLD BANK ECONOMIC REVIEW, VOL. 11, NO. 2 basis risk by the variability in cash prices not explained by futures price move- ments, or by 1 - R2.2 To quantify the potential effectiveness of hedging Pakistani wheat on U.S. futures exchanges, we test three futures contracts—no. 1 soft white wheat traded on the Minneapolis Grain Exchange, no. 2 hard red winter wheat traded on the Kansas City Board of Trade, and no. 2 soft red winter wheat traded on the Chicago Board of Trade. We chose these contracts because they cover wheat whose characteristics are closest to those of wheat commonly imported by Paki- stan. We collected monthly data for the three contracts from February 1991 (when the Minneapolis contract started trading) to April 1995, providing a total of 51 observations. We first test the correlations against four different import (cash) prices—the U.S. dollar FOB (free on board) price of western white wheat at Pacific Northwest ports, the price of wheat delivered at Karachi, the Karachi price adjusted for EEP, and the Karachi price in Pakistani rupees (table 2). Be- cause we find all the price series to be nonstationary based on the Durbin-Watson test, we transform them by taking first differences. Subsequent tests of the trans- formed series show them to be stationary in all cases. We find a high degree of correlation between the wheat futures contract price on the Minneapolis Grain Exchange and the U.S. dollar FOB price of western white wheat quoted at Pacific Northwest ports. The results in table 2 show that variations in the futures prices can explain 89 percent of the variation in the cash prices, with a basis risk of only 11 percent (most likely reflecting variability in transportation costs). This indicates that at least the U.S. dollar FOB price at Pacific Northwest ports faced by Pakistan could be fairly well hedged by trading wheat futures contracts on the Minneapolis Grain Exchange. We then test correlations between the western white wheat price adjusted for freight charges and the Minneapolis wheat futures contract. Because freight rates between Pacific Northwest ports and Karachi have varied little since early 1991, the correlation is the same (R2 of 89 percent), with a corresponding basis risk of only 11 percent (table 2). This indicates that hedgers in Pakistan could manage the risk of fluctuating U.S. dollar CIF prices, assuming the government does not implement EEP subsidies. 2. Measuring the basis risk in this manner is sometimes complicated by the statistical properties of time series data. In particular, the validity of testing the correlation between cash and futures prices using regression requires that each price series be stationary. A stationary series is one in which the underlying stochastic process generating the series is invariant with respect to time (that is, the stochastic process is in equilibrium over time about a constant mean level, and the probability of any given fluctuation around that mean level is the same at any point in time). Typically, time series price data are nonstationary because they are influenced by seasonal factors. Fortunately, several straightforward tests for stationarity such as the Durbin-Watson test of Sargan and Bhargava and the Dickey-Fuller test can be performed (Palaskas and Varangis 1991). In most cases, cash and futures price series that are found to be nonstationary can be transformed into stationary series simply by taking first differences (that is, the price in period T minus the price in period T - 1). The differenced series can then be regressed against one another, with the R2 coefficient from the regression providing a valid measure of hedging effectiveness and basis risk. Faruqee, Coleman, and Scott 273 Table 2. Hedging Effectiveness, Basis Risk, and Hedge Ratios in Pakistan, 1991-95 Contract and price R1' Basis riskb Hedge ratio' Minneapolis soft white wheat no. 1 FOB U.S. dollar price at Pacific Northwest ports 0.89 0.11 0.92 CIF U.S. dollar price at Karachi 0.89 0.11 0.94 CIF U.S. dollar price at Karachi adjusted for EEP subsidies'1 0.59 0.41 0.91 CIF rupee price at Karachi adjusted for EEP subsidies'1 0.55 0.45 0.84 Kansas City hard red winter wheat no. 2 FOB U.S. dollar price at Pacific Northwest ports 0.62 0.38 0.75 CIF U.S. dollar price at Karachi 0.61 0.39 0.76 CIF U.S. dollar price at Karachi adjusted for EEP subsidies'1 0.42 0.58 0.76 CIF rupee price at Karachi adjusted for EEP subsidies'1 0.39 0.61 0.74 Chicago soft red winter wheat no. 2 FOB U.S. dollar price at Pacific Northwest ports 0.50 0.50 0.66 CIF U.S. dollar price at Karachi 0.49 0.51 0.66 CIF U.S. dollar price at Karachi adjusted for EEP subsidies'1 0.33 0.67 0.64 CIF rupee price at Karachi adjusted for EEP subsidies'1 0.30 0.70 0.65 Note: Calculations are based on monthly observations for February 1991—April 1995 (51 observations), FOB denotes free on board (used to value exports); CIF denotes cost, insurance, and freight (used to value imports); and EEP denotes the U.S. government's Export Enhancement Program. a. From ordinary least squares regression; cash price = a + b* nearby futures price. All price series were transformed into first differences. Regression period from February 1991 to April 1995. b. The differences between the futures price in the U.S. and the market price in Pakistan. c. Slope coefficient regression between first differences of cash and nearby futures prices. d. Regressions are run from September 1992, the first time Pakistan qualified for EEP subsidies. Source: International Wheat Council (various issues), U.S. Department of Agriculture (various issues), and authors' calculations. The picture changes dramatically when we test correlations between Minne- apolis futures prices and the U.S. dollar Karachi price of western white wheat adjusted for EEP subsidies. The R2 from the regression is only 0.59, implying a basis risk of 41 percent (table 2). This decline in correlation reflects not only the instability of EEP payments but also the fact that they represent a large percent- age of the overall purchase price. The finding also suggests that continuation of subsidies would significantly limit the effectiveness of hedging as a mechanism for managing risk. Converting the CIF Karachi price into rupees yields a slightly lower correlation with the Minneapolis futures prices (R2 of 0.55), a level also well below that needed to make hedging effective (table 2). We finally test the same set of correlations using the prices of the no. 2 hard red winter wheat futures contract traded on the Kansas City Board of Trade and the no. 2 soft red winter wheat futures contract traded on the Chicago Board of Trade. Overall, changes in the prices of these futures contracts are less corre- lated with changes in the relevant wheat prices for Pakistan. Even before adjust- ing for transport costs, EEP subsidies, and exchange rates, changes in the futures price on the Chicago Board of Trade can explain only half the changes in the U.S. dollar western white wheat price at Pacific Northwest ports (table 2). This 274 THE WORLD BANK ECONOiMIC REVIEW, VOL 11, NO. 2 finding indicates that the Chicago wheat futures contract would not be an effec- tive hedging instrument for Pakistani importers. If there is no basis risk and if changes in futures prices explain all changes in cash prices, hedgers should cover all cash transactions with futures contracts. When there is basis risk, however, hedgers should generally cover only a portion of their cash position. Statistical analysis of cash and futures prices can deter- mine the hedge ratio, an important policy variable. In Pakistan, the instability of wheat import costs depends on the variability of both the volume and price of imports. However, because the government con- trols the volume of imports, fluctuating prices are the main source of risk expo- sure, and controlling price fluctuations is the main objective of risk management strategies. We can view the hedging decision as a portfolio selection problem in which the hedger selects the optimal proportions of unhedged (cash) and hedged (futures) wheat imports. In this case, risk management strategies aim to mini- mize the variance in the value of the portfolio of hedged and unhedged imports. Based on portfolio selection theory, we can demonstrate that the optimal hedge ratio is equivalent to the slope coefficient in the ordinary least squares regression between changes in the cash and futures prices (Ederington 1979). Calculating the optimal hedge ratio in this manner, we assume that the hedger seeks to mini- mize risk. Selecting the portfolio of hedged and unhedged imports that mini- mizes risk may result in a higher import bill than would otherwise apply. Whether the importers consider the higher import bill acceptable depends on their aver- sion to risk. Infinitely risk-averse importers seek to minimize risk. Less risk- averse importers are willing to bear some risk in order to reduce the cost of imports. Given the government's concern over commodity price risks, it seems reasonable to assume that the government is infinitely risk averse and to select hedge ratios accordingly. This assumption may not be justified given our argument that the govern- ment is better able to pool and absorb risks than individual farmers and millers. An alternative way to derive an optimal hedge ratio would be to equate the marginal benefit from hedging (measured in terms of the value of risk reduction) with the marginal cost of hedging (brokerage fees). Using the price series with and without hedging, we derive estimates of the risk benefits from hedging based on formulas developed by Newbery and Stiglitz (1981, pp. 93). We calculate the value of risk reduction (risk benefit) for values of the hedge ratio ranging be- tween 0 and 1 and compare it with the cost of hedging in each case. Then, using numerical methods, we determine an optimal value of the hedge ratio at the point where the marginal cost of hedging equals the marginal benefit of hedging. The problem with this approach is that a value for the coefficient of relative risk aversion has to be assumed, which requires specifying the decisionmaker's util- ity function (in this case the government's). This problem is intractable, and many researchers simply assume a coefficient of relative risk aversion equal to 1 and then measure the sensitivity of the risk benefits to different values of the coefficient (Akiyama and Varangis 1991 and Coleman and Larson 1993). As- Faruqee, Coleman, and Scott 2 75 suming a relative risk aversion coefficient equal to 1, we obtain an optimal hedge ratio of about 0.85, which increases to 0.89 for a coefficient of 2. This indicates that a hedge ratio close to 0.9 would be appropriate for a fairly wide range of assumptions about the government's preferred level of risk. Assuming risk minimization, hedging the U.S. dollar FOB wheat prices at Pa- cific Northwest ports using the Minneapolis Grain Exchange yields a hedge ra- tio of 0.92 (table 2). This means that if the government wishes to purchase, say, 2 million tons of wheat, it would need to cover 1.84 million metric tons with futures contracts, or roughly 13,522 contracts (assuming about 136 tons per contract).3 Hedge ratios range from 0.91 for the U.S. dollar CIF price adjusted for EEP subsidies to 0.94 for the U.S. dollar CIF price without the subsidy (table 2). Hedge ratios decline using the Chicago wheat contract, ranging between 0.64 and 0.66. In general, the hedge ratios decline as the level of basis risk in- creases because R2 measures the effectiveness of the hedging, and 1 - R1 mea- sures the basis risk. Thus the greater the basis risk, the less effective the hedging, and the lower the basis risk, the more effective the hedging. The analysis indicates, absent export subsidies, the potential effectiveness of hedging Pakistani wheat purchases using the soft white wheat contract that is traded on the Minneapolis Grain Exchange. The existence of export subsidies severely limits the effectiveness of hedging, however. Two developments suggest that export subsidies may be reduced in the future. The Uruguay Round of the General Agreement on Tariffs and Trade (GATT), which was signed in late 1993, contains a key provision to reduce the overall level of export subsidies (a provi- sion most affecting the United States and the European Union). The agreement calls for a 21 percent decline in the volume of export subsidies and a 36 percent drop in their value from a 1986-90 base period. In the United States, new farm legislation (the Federal Agricultural Improvement and Reform Act, 1996) has restructured agricultural programs, and budgetary pressures have limited agri- cultural spending. These developments could result in a reduction of export sub- sidies below the levels required under the GATT. IV. ANALYSIS OF HEDGING STRATEGIES USING FINANCIAL INSTRUMENTS The policy of maintaining wheat prices below an equilibrium (import parity price) is not tenable and should be discontinued. Therefore, in this section we outline the policy and institutional environment in which we assume hedging takes place. Other strategies could be developed. For example, the government could abstain from importing wheat when the parity price is below the fixed price, in order to let the private sector import at the import parity price. This would reduce the cost of flour and would also benefit consumers. This policy would work as a call option from the government to wheat millers: the govern- ment would subsidize imports as long as the local price is lower than the import 3. All quantities of wheat are measured in metric tons. Each contract is for 5,000 bushels, with 36.74 bushels per metric ton. 276 THE WORLD BANK ECONOMIC REVIEW, VOL 11, NO. 2 parity price, but when the parity price falls below the fixed price, the govern- ment would allow millers to benefit from lower world prices. The government could use hedging to manage its exposure to higher international prices. We make the following assumptions. The government eliminates the wheat import subsidy and sets a price (the release price) at which it sells imported wheat to mills equal to the expected average import parity price for the coming year. To provide the market with stability, the government announces the re- lease price at the beginning of the year, and that price remains fixed throughout the year. By buying at a variable international price and selling at a fixed domes- tic price, the government effectively pools the risk of individual market partici- pants and assumes the risk for itself. In particular, the government exposes itself to the risk of international prices rising more than expected, thereby requiring a subsidy to maintain the fixed price. Of course, if the international price falls below the fixed domestic price, the government would impose a tax on wheat imports, bringing the import price up to the domestic price level. Because the international wheat price cannot be predicted accurately, we cannot expect the subsidies required when the international price rises higher than the fixed do- mestic price to be offset by the revenues received when the international price falls below the fixed domestic price. To manage this risk, the government can hedge using financial instruments. In the following sections, we outline and evalu- ate the effectiveness of three hedging strategies using futures, options, and swaps.4 Strategy I: Hedging with Futures Contracts One possible hedging strategy using futures contracts would enable the gov- ernment to lock in an international price for its wheat purchases at the begin- ning of the year. This price would equal the weighted sum of wheat futures prices maturing at various months throughout the coming year, with weights determined by the quantities of wheat imported in the months between each contract expiration. Variations of this strategy concentrate or disperse hedging among various contract months. Selection of the month in which to hedge in- volves judgment and expertise. For the purpose of these examples, we use the conventional hedge approach, matching calendar months with the correspond- ing futures contract months. Say, for example, that in December 1993 the government wishes to fix the release price for the 1994 crop. Wheat futures contracts can expire in five differ- ent months (March, May, July, September, and December); in December 1993 prices for delivery in each of these months in 1994 are established in the market. On the basis of historical import trends, the government could predict fairly well the proportions of the total import requirements before each of the delivery months (for example, January, February, and March, 10 percent; April and May, 4. The examples do not superimpose hedging strategies on existing patterns and practices of wheat purchases. Instead, the strategies show that hedging with futures can make purchasing much more flexible, lock prices further into the future, and make alternative methods of purchasing wheat more desirable. Faruqee, Coleman, and Scott 277 20 percent; June and July, 30 percent; August and September, 25 percent; and October, November, and December, 15 percent). It could use these proportions to obtain a weighted import price for the coming year. The government would guarantee this price and could use it to set the fixed release price assuming ex- pected freight costs, export subsidies, and exchange rates. We evaluate this strategy using actual cash and futures prices for 1993 and 1994. It should be noted that at the time of this example it is unlikely that the large volume could have been effectively hedged on the Minneapolis Grain Ex- change. Contracts from other exchanges (the Chicago Board of Trade and Kan- sas City Board of Trade) could also have been used, because the Minneapolis Grain Exchange white wheat contract did not have a great deal of liquidity in 1993 and 1994. For simplicity, however, we confine the futures operations as- pect of this example to Minneapolis Grain Exchange contracts. This raises two practical issues that need to be addressed with regard to hedging white wheat. First, as already noted, liquidity on the white wheat contract is low and there- fore represents a problem for hedging large quantities. Second, we find the basis volatility between the FOB white wheat on the Chicago Board of Trade and Kan- sas City Board of Trade wheat contracts to be substantially higher than for white wheat futures contracts on the Minneapolis Grain Exchange. However, contract volume on the Minneapolis Grain Exchange white wheat contract is growing, and the prospects of this market providing an adequate hedge in the future are improving. More important, as the role of governments in the export wheat trade declines, the wheat contracts on the Chicago Board of Trade and Kansas City Board of Trade should more closely reflect global export wheat prices. Under these conditions, futures contracts will provide a better hedging mechanism than has been the case in the past. The critical point is that the recent and significant structural changes in the wheat market mean that past relation- ships between cash and futures prices may not hold in the future, and it is pos- sible that in the new trade environment prices on the Chicago Board of Trade and the Kansas City Board of Trade may better reflect global supply and de- mand conditions. This being the case, the type of techniques described here would be even more effective for managing price risk than the tools currently available. In this example, in mid-December 1993 the government decides that for cal- endar year 1994 it needs about 1.2 million tons of imported white wheat (roughly the average annual volume of imports over the past ten years) and wishes to purchase 100,000 tons each month during the year. The government also wishes to lock in the prevailing mid-December price of $133 per ton for the entire purchase, on the basis of which it announces the fixed release price (assuming expected freight costs, export subsidies from suppliers, and exchange rates). In executing the strategy, the government buys 100,000 tons of wheat on the first trading day of each month and buys and sells futures contracts with expiration dates coinciding with future purchases. Table 3 gives the monthly transactions and net positions for this strategy. Here we discuss two months, January and December, to illustrate how the hedg- Table 3. Analysis of Cash and Futures Transactions (U.S. dollars per ton unless otherwise noted) Futures transactions' Contract Net position6 Date of Cash price expiration date Date Futures price Futures price Cain with (effective price transactions (1994) paid (1994) bought paid received Gain6 hedge ratioc paid) January 3 133.4 March 12/16/93 136.7 136.5 -0.18 -0.17 133.7 February 1 130.4 March 12/16/93 136.7 132.3 -4.40 -4.05 134.6 March 1 127.5 March 12/16/93 136.7 129.0 -7.71 -7.09 134.7 April 4 126.8 May 12/16/93 136.3 130.1 -6.25 -5.75 132.7 May 2 137.8 May 12/16/93 136.3 139.4 3.12 2.87 135.1 June 1 134.1 July 1/1/94 134.1 133.4 -0.73 -0.67 134.9 July 1 132.3 July 1/1/94 134.1 134.1 0.00 0.00 132.4 August 1 127.9 September 2/16/94 131.5 133.4 1.84 1.69 126.3 September 1 147.0 September 2/16/94 131.5 150.6 19.10 17.57 129.5 October 3 169.0 December 3/1/94 130.4 174.5 44.09 40.56 128.6 November 1 166.4 December 3/1/94 130.4 169.4 38.95 35.83 130.7 December 1 164.2 December 3/1/94 130.4 166.5 36.01 33.13 131.3 Note: In the hedging strategy represented here, the government purchases 100,000 tons of wheat on the first tradingday of each month. It buys and sells futures contracts with expiration dates coinciding with future purchases. See section IV of the text. a. The quantity purchased is 92,000 tons, equivalent to 676 futures contrarts. The brokerage fee is $0.15 per ton. b. Price received minus price paid. c. The gain rimes the hedge ratio of 0.92. d. The cash price minus the gain with the hedge ratio plus the brokerage fee. Source: International Wheat Council (various issues), U.S. Department of Agriculture (various issues), and authors' calculations. Faruqee, Coleman, and Scott 2 79 ing operates. On January 3, 1994, the government purchases 100,000 tons of wheat on the international market at a price of $133.40 per ton. On the same day, it sells 676 of the March futures contracts at a price of $136.50 per ton. Buying the March futures at $136.70 per ton and selling them at $136.50 yields a loss of $0.18 per ton, or $0.17 per ton with the 0.92 hedge ratio. Including a brokerage fee of $0.15 per ton, the government pays an effective price of $133.70 per ton ($133.40 per ton cash price plus $0.17 per ton loss from the futures transaction plus the $0.15 per ton brokerage fee). By comparison, on December 1, 1994, the government purchases 100,000 tons of wheat on the international market at a price of $164.20 per ton. On the same day, it sells 676 of the Decem- ber futures contracts at a price of $166.40 per ton. Buying the December futures back in March at $130.40 per ton and selling them at $166.40 per ton in De- cember yields a profit of $36.01 per ton, or $33.13 per ton with the 0.92 hedge ratio. Including a brokerage fee of $0.15 per ton, the government pays an effec- tive price of $131.30 per ton ($164.20 per ton cash price less $33.10 per ton gain from the futures transaction plus the $0.15 per ton brokerage fee). The pattern of cash wheat prices shows a decline into April of 1994 followed by strong price increases in the succeeding months. It is important to remember that the primary objective of the hedging strategy is to establish an import price at or near the desired level of $133 per ton. Losing sight of this will lead to the erroneous conclusion that it would be better not to have hedged purchases up to April 1994, a period of declining market prices. Figure 1 and the first two columns of table 4 present a comparison of the gross FOB import price (what the government would pay if it had not hedged) and the net FOB import price (the price that it would pay for white wheat FOB Portland net of brokerage charges and including the gain or loss from futures transactions). With hedging, the government would pay a lower price in six of the twelve months; in two of the remaining six months the difference in the net import price is less than $1 per metric ton. It is also informative to look at the total import cost for wheat under each scenario. Under the nonhedged scenario (gross FOB import price) total expendi- ture is PRs6.1 billion (average monthly price times import volume of 1.2 million tons); under the hedged scenario (net FOB import price) total expenditure is PRs5.7 billion (table 4). Clearly the government is better off having hedged. The results also show the effectiveness of hedging for reducing the variability of import costs. If the government had not hedged, the monthly import bill would range from PRs460 million in April to PRs589 in October, with the big- gest month to month change between September and October, when the cost increases PRs67 million (from PRs522 million to PRs589 million; table 4). If the government had hedged, the import cost would vary only slightly, with a dif- ference between the highest and lowest months' payments of less than PRs30 million. Assume also that the government sets a release price for the year of PRs4,800 (equivalent to an FOB price of $133 per ton). If the government had not hedged, Table 4. The Impact of the Futures Hedging Program on Wheat Import Payments FOB price CiF price' Import cost Release Illustrative government subsidy or taxh (dollars /)er ton) (rupees per ton) (millions of rupees) price Rupees jper ton Millions of rupees Without With Without With Without With (rupees Without With Without With Month hedging hedging hedging hedging hedging hedging per ton) hedging hedging hedging hedging January 133.4 133.7 4,800 4,810 480.0 481.0 4,800 0 -10 0.0 -1.0 February 130.4 134.6 4,710 4,839 471.0 483.9 4,800 90 -39 9.0 -3.9 March 127.5 134.7 4,621 4,842 462.1 484.2 4,800 179 -42 17.9 -A.2 April 126.8 132.7 4,598 4,778 459.8 477.8 4,800 202 22 20.2 2.2 May 137.8 135.1 4,935 4,852 493.5 485.2 4,800 -135 -52 -13.5 -5.2 (si June 134.1 134.9 4,822 4,847 482.2 484.7 4,800 -22 -47 -2.2 -4.7 CO July 132.3 132.4 4,767 4,771 476.7 477.1 4,800 33 29 3.3 2.9 o August 127.9 168 215 126.3 4,632 4,585 463.2 458.5 4,800 16.8 21.5 September 147.0 129.5 5,215 4,683 521.5 468.3 4,800 -415 117 ^tl.5 11.7 October 169.0 128.6 5,887 4,655 588.7 465.5 4,800 -1,087 145 -108.7 14.5 November 166.4 130.7 5,806 4,718 580.6 471.8 4,800 -1,006 82 -100.6 8.2 December 164.2 131.3 5,741 4,735 574.1 473.5 4,800 -941 65 -94.1 6.5 Total 6,053.4 5,711.4 -293.4 48.6 Average 141.4 132.0 5,044 4,756 504.5 475.9 4,800 -244.5 40.5 -24.5 4.1 Note: The government purchases 100,000 tons of wheat each month. FOB denotes free on board (used to value exports), and CIF denotes cost, insurance, and freight (used to value imports). a. FOB price is converted into a CIF price by adding a freight cost of $24 per ton, assuming no export subsidies and using an exchange rate of PRs30.5 per dollar. b. A negative value is a subsidy; a positive value is a tax. Source: International Wheat Council (various issues), U.S. Department of Agriculture (various issues), and authors' calculations. Faruqee, Coleman, and Scott 281 Figure 1. Hedging Effectiveness Using Futures Rupees per ton 6,000 i CIF price without hedging 5,500 - 5,000 -| Release price -*- 4^00 • CIF price with hedging 4,000 January March May July September November February April June August October December Source. Table 4. the unexpected rise in prices toward the end of the year would result in huge subsidy payments of PRs293 million for the entire year. These payments would be required because of the increase in international prices of more than $40 per ton between August and October. However, having hedged and locked in a price, the government does not incur subsidy payments. This hedging program results in a lower total import cost because market prices increase in the later half of the year. However, lowering the import bill is not the goal of the hedging program, and the program should not be considered successful because it is profitable. If international prices fall, the government would end up paying more in subsidies than if it had not hedged. Payment of additional subsidies would not indicate failure of the strategy, however. The hedging strategy is a success because it reduces the volatility of international prices and the cost of imports, enabling the government to manage its finances better, and not because it reduces the overall cost of imports and thereby saves the government money. In the long run the government can expect neither to gain nor to lose money through hedging, and the cost of using hedging instru- ments is equal to the brokers' fees on the contracts. Strategy II: Hedging with Options Contracts A second strategy involves the purchase of call options. This example in- volves a slightly different purchasing arrangement than in the futures illustra- 282 THE WORLD BANK ECONOMIC REVIEW, VOL. 11, NO. 2 tion. However, this difference does not invalidate the overall result and message of the article—that hedging with any of the three instruments would help the government to manage its price risk. The choice between using futures vis-a-vis options depends on the preferred risk of the government. Options are different from futures in that the former hedges against price movements in one direction only (buying an option is much like buying insurance), while futures insulate hedgers from price movements in both directions. Therefore, perhaps it is inap- propriate to make direct comparisons between options and futures. Call options give the holder the right to buy a specific commodity at a speci- fied strike price. In a sense, call options provide insurance against prices rising at a later date. The use of call options is appropriate for the government of Paki- stan in managing future wheat imports. A call option differs from a futures contracts strategy in that a futures contract locks in the import price. A down- side of the futures hedging strategy is that if prices decline, the government can- not take advantage of lower prices and incurs higher subsidy payments than if it had not hedged. Purchasing a call option enables the buyer to establish a maxi- mum price for a commodity by providing protection from upward price move- ments while at the same time allowing the buyer to participate in the benefits of downward price movements of the underlying commodity. The premium paid for the option is the cost of receiving the upward price protection and can be viewed as the "insurance policy" premium. A specific hedging strategy using options contracts would work as follows. In January 1994 the government decides to import 1.2 million tons of wheat dur- ing the calendar year. It also decides to make half the purchases during the sec- ond quarter and half during the fourth quarter (with purchases of 600,000 tons in each case). In early January, U.S. exporters offer a price of $135 per ton. If the government believes that prices could move lower during the year, it would prefer to delay its purchase of the wheat until the time of actual delivery. By waiting, however, the government risks the possibility that prices will rise, in- creasing the cost of imports. In effect, the government would like to participate in any downward move in prices while at the same time protecting itself against upward changes in price. In early February 1994 the government decides to import the first 600,000 tons of wheat during the month of April. It would like to lock in the $135 per ton price being offered for April delivery but be able to benefit if wheat prices fall. To accomplish this objective, on February 7, 1994, the government purchases 4,410 May white wheat call options (equivalent to 600,000 tons) with a strike price of $132.28 per ton. The cost of these options is $3.86 per ton. As noted above, physical cash white wheat FOB Portland for April at this time is trading at $135 per ton, and the May futures contract is trading for $133.19 per ton. In purchasing these call options, the government buys the right (or option) to purchase white wheat futures at $132.28 per ton. By April, May futures are trading at $130.07 per ton, cash white wheat FOB Portland is trading at $126.77 per ton, and May white wheat options with a $132.28 per ton strike price are worth $0.37 per ton. Given that the May fu- Faruqee, Coleman, and Scott 283 tures price ($130.07 per ton) is below the $132.28 per ton strike price, the op- tions held by the government have little value and will likely expire worthless. Physical cash prices, however, have followed the general price decline, and the government can purchase its wheat at prices that are substantially lower than those that prevailed in January. Although in this case the price protection is not exercised, the government has the flexibility to wait for lower prices, because its upside risk is covered by the options. The government pays the cash price of $126.77 per ton, plus the net cost of options of $3.49 per ton ($3.86 purchase price less $0.37 sale price) plus a $0.10 per ton brokerage fee, yielding a net of $130.36 per ton—$3.59 per ton more than if it does not hedge. Although hedging results in a higher price paid, the strategy is nevertheless appropriate because it protects the government against an increase in prices. The difference between the $130.36 per ton paid and the cash price of $126.77 per ton ($3.59 per ton) represents the insurance premium for guaranteeing a price of no more than $132.28 per ton. Relative to the Febru- ary forward price of $135 per ton, the effective price of $130.36 per ton repre- sents a saving of $4.64 per ton, a reduction of $2.8 million in import costs. In April 1994 the government wishes to purchase the remaining 600,000 tons of white wheat for delivery in November of 1994. The situation is such that no FOB offers for white wheat in Portland are currently available for November or December delivery. However, the December white wheat futures on the Minne- apolis Grain Exchange are trading at $129.97 per ton. In addition, December white wheat call options with a $128.60 per ton strike price are trading at $4.78 per ton. The government decides to purchase 4,410 December call options with the $128.60 strike price as protection against a price increase. As in the April hedge, the government has protected itself from upside price risk but is still able to reap the benefit of price declines in the physical cash market. When November 1994 arrives, December futures are trading at $169.39 per ton, cash white wheat FOB Portland is worth $166.36 per ton, and December white wheat options with a $128.60 strike price are worth $40.79 per ton. Ob- viously, white wheat prices have increased substantially, as reflected in the fu- tures price, the options price, and the physical cost of FOB white wheat. Because the futures price exceeds the strike price, the government exercises its right to purchase futures at $128.60 per ton, because these contracts are now worth $169.39 per ton. The government can then sell the futures contracts for a profit of $40.79 and purchase the physical cash wheat for $166.36 per ton. To evaluate the actual cost of the wheat purchase taking the options hedging operation into consideration, we subtract the price of the option ($40.79 per ton) from the wheat purchase price ($166.36 per ton) and add back the original cost of the option ($4.78) and brokerage fee ($0.10), yielding a net purchase price of $130.45 per ton. The use of options contracts enables the purchaser to protect itself against upside price risk. If prices fall, the buyer of the option also benefits. In this case, the government has reduced its import bill by $21.5 mil- lion by hedging. Table 5. The Impact of the Options Hedging Program on Wheat Import Payments FOB price ClF price* Import cost Release or taxh Illustrative government subsidy < (dollars per ton) (rupees { )er ton) (millionsof rupees) price Rupees jtier ton Millions of rupees Without With Without With Without With (rupees Without With Without With Month hedging hedging hedging hedging hedging hedging per ton) hedging hedging hedging hedging April 126.8 130.4 4,598 4,709 2,759 2,826 4,800 202 91 121 54 November 166.4 130.5 5,806 4,712 3,484 2,827 4,800 -1,006 88 -604 53 oo Total 6,243 5,653 -483 107 Average 146.6 130.5 5,202 4,711 3,121 2,826 4,800 -402 89 -241 54 Note: The government purchases 600,000 tons of wheat in April and 600,000 tons in November, FOB denotes free on board (used to value exports), and CIF denotes cost, insurance, and freight (used to value imports). a. FOB price is converted into a OF price by adding a freight cost of $24 per ton, assuming no export subsidies and using an exchange rate of PRs30.5 per dollar. b. A negative value is a subsidy; a positive value is a tax. Source: International Wheat Council (various issues), U.S. Department of Agriculture (various issues), and authors' calculations. Faruqee, Coleman, and Scott 285 Table 5 shows the impact of the options hedging program on government subsidy payments. Over the year, the average FOB price with hedging is $130.50 per ton compared with $146.60 per ton without hedging, resulting in PRs590 million savings on imports. The policy of establishing a PRs4,800 per ton re- lease price would cost the government PRs483 million without the options hedg- ing, compared with PRslO7 million in revenues with hedging. Strategy III: Hedging with Swaps A third hedging alternative is to use a commodity swap. Swaps were devel- oped to manage relatively long-term risk and are generally available on the over- the-counter market (that is, they are negotiated between parties rather than traded on an exchange). Swaps are purely financial instruments in that no exchange of physical goods takes place. This feature distinguishes swaps from futures and options contracts, in which the parties can make or take delivery of the physical (agricultural) commodity. (In practice, of course, only the net amounts change hands.) The hedger utilizes swaps to shift price risk to the investment community and to manage the price risk of the commodity portfolio of the business. A swap transaction accomplishes this by establishing three variables: the amount or vol- ume of the swap, a fixed price level, and a variable price level. Fluctuations of the variable price around the fixed price are used to establish a stream of pay- ments to each party to the swap. A swap with two parties typically involves a consumer of the commodity and a producer; a bank or other type of financial institution acts as intermediary. The consumer pays the fixed price amount and receives the variable price amount. The producer receives the fixed price amount and pays the variable price amount. The great advantage of swaps is that they afford great flexibility by decoupling the hedging activity from the physical trading activities of an organization. Swaps also enable an organization to manage price risk for relatively long periods of time. Their major drawback is that they require cash flow and are very credit intensive. Because swap transactions involve a high counterparty risk, banks may require up-front cash collateral (in an escrow offshore account that could be earning interest) to cover a predetermined level of risk exposure. The under- developed market for swaps in the agricultural area presents another drawback; to date most swaps of physical commodities have been in metals and petroleum. To see how a swap would work, assume that the government wants to secure a long-term price of wheat equal to $135 per ton. It enters into a swap agree- ment with a bank such that the fixed price of the swap is $135 per ton and the variable price used is the monthly average price of the nearby white wheat fu- tures contraa traded on the Minneapolis Grain Exchange. The amount is 100,000 tons per month. At the end of each month the price of white wheat on the ex- change is averaged, and the fixed price of the swap ($135 per ton) is subtracted from the variable price to determine the payment to be made to or received from the government. Assume that prices average $127 per ton in the first month and 286 THE WORLD BANK ECONOMIC REVIEW, VOL 11, NO. 2 $145 per ton in the second month. The government pays the bank $8 per ton, or $800,000, the first month and receives $10 per ton, or $1,000,000, the second month. The cash flows from the swap transaction apply against the actual physical market transactions the government undertakes in the white wheat market. Pre- sumably in the first month the government purchases 100,000 tons of white wheat at $8 per ton less than the fixed price; the next month the price in the physical market is $10 per ton higher. Applying the swap concept to wheat purchases during 1994 yields the results shown in tables 6 and 7 and in figure 2. The example uses spot cash white wheat values from 1994 and assumes a desired import price of $135 per ton (this price constitutes the fixed price level). The financial intermediary charges a 1 percent commission for the service of arranging the swap. The variable price used as a reference is the average Minne- apolis nearby futures price (column one in table 6). The government imports 100,000 tons of wheat per month, or 1.2 million tons for the entire 1994 year. In table 6, the price paid in the actual physical cash market (fourth column) is adjusted by the net payment to achieve a net (or effective) price close to the target price of $135 per ton (fifth column). In fact, the average cash price paid for all of 1994 in the actual physical cash market is $141 per ton. Table 7 shows the impact of using the swap agreement on import costs. With- out the swap mechanism the government would pay a total of PRs6.05 billion Figure 2. Hedging Effectiveness Using Swaps Rupees per ton 6,000 5,500 • 5,000 • 4,500 4,000 January March May July September November Febiuary Apnl June August October December Source. Table 7. Faruqee, Coleman, and Scott 287 Table 6. Calculation of the Net Wheat Import Price for the Strategy of Hedging with Swaps (U.S. dollars per ton) Average Minneapolis Fixed target 0 Month (1994) futures price price Net payment* Cash price* Net price January 136.4 135.0 1.4 133.4 133.3 February 132.8 135.0 -2.2 130.4 134.0 March 128.6 135.0 -6.4 127.5 135.2 April 134.3 135.0 -0.7 126.8 128.8 May 137.4 135.0 2.4 137.8 136.7 June 133.6 135.0 -1.4 134.1 136.9 July 133.0 135.0 -2.0 132.3 135.6 August 142.4 135.0 7.4 127.9 121.8 September 161.7 135.0 26.7 147.0 121.6 October 173.9 135.0 38.9 169.0 131.5 November 168.3 135.0 33.3 166.4 134.4 December 167.3 135.0 32.3 164.2 133.3 Note: Values are the net free on board (FOB) wheat import price. a. Average Minneapolis futures price minus fixed price of $135 per ton. b. Price actually paid in the market. c. Price actually paid in the market minus net payment plus 1 percent brokerage fee ($1.35 per ton). Source: International Wheat Council (various issues), U.S. Department of Agriculture (various issues), and authors' calculations. for wheat purchases in 1994; utilizing a swap mechanism the payment would be only PRs5.71 billion. Assuming a release price of PRs4,800 per ton as in the previous two examples, the wheat swap significantly reduces the variability of subsidy payments and tax revenues. With the swap, the monthly payments and revenues range from PRsl0.8 million in subsidies to PRs35.8 million in taxes; without the swap, payments and revenues range from PRslO8.7 million in sub- sidies to PRs20.2 million in taxes. More important, the swap arrangement al- lows the government to avoid the net cost of PRs293.4 million in subsidy pay- ments that would result if the government had not hedged. In this example, one advantage of utilizing a swap rather than futures and options is that the consuming entity (in this case the government) does not have to worry about liquidity problems on the exchange or the mechanics and strat- egy of executing futures and options contracts. Care must be taken, however, to ensure that the variable price used has a strong relationship with the actual physical cash market and cannot be manipulated. V. CONCLUSIONS This article has some important implications for future wheat policy in Paki- stan. Domestic wheat prices have been largely isolated from world markets, and the government has succeeded in reducing price fluctuations. However, the policy does not remove risk from the economy as a whole but merely transfers the risk from wheat market participants in the form of unstable prices to the govern- Table 7. The Impact of the Swaps Futures Hedging Program on Wheat Import Payments FOB price CiF price* Import cost Release or taxh Illustrative government subsidy (dollars /Jer ton) \ ton) (rupees per (millions iof rupees) price Rupees per ton Millions of rupees Without With Without With Without With (rupees Without With Without With Month hedging hedging hedging hedging hedging hedging per ton) hedging hedging hedging hedging January 133.4 133.3 4,800 4,798 480.5 479.8 4,800 0 2 0.0 0.2 February 130.4 134.0 4,710 4,820 471.0 482.0 4,800 90 -20 9.0 -2.0 March 127.5 135.2 4,621 4,856 462.1 485.6 4,800 179 -56 17.9 -5.6 April 126.8 128.8 4,598 4,660 459.8 466.0 4,800 202 140 20.2 14.0 May 137.8 136.7 4,935 4,902 493.5 490.2 4,800 -135 -102 -13.5 -10.2 June 134.1 136.9 4,822 4,908 482.2 490.8 4,800 -22 -108 -2.2 -10.8 00 July 132.3 135.6 4,767 4,868 476.7 486.8 4,800 33 -68 3.3 -6.8 00 August 127.9 121.8 4,632 4,446 463.2 444.6 4,800 168 354 16.8 35.4 September 147.0 121.6 5,215 4,442 521.5 444.2 4,800 ^115 358 -41.5 35.8 October 169.0 131.5 5,887 4,743 588.7 474.3 4,800 -1,087 57 -108.7 5.7 November 166.4 134.4 5,806 4,831 580.6 483.1 4,800 -1,006 -31 -100.6 -3.1 December 164.2 133.3 5,741 4,797 574.1 479.7 4,800 -941 3 -94.1 0.3 Total 6,053.4 5,707.0 -293.4 53.0 Average 141.4 131.9 5,044 4,755.9 504.5 475.6 4,800 -244.5 44.1 -24.5 4.4 Note: The government purchases 100,000 tons of wheat each month. F O B denotes free on board (used to value expons), and aF denotes cost, insurance, and freight (used to value imports). a. FOB price is converted into a aF price by adding a freight cost of $24 per ton, assuming no export subsidies, and using an exchange rate of PRs30.5 per dollar. b. A negative value is a subsidy; a positive value is a tax. Source: International Wheat Council (various issues), U.S. Department of Agriculture (various issues), and authors' calculations. Faruqee, Coleman, and Scott 289 merit (and ultimately taxpayers throughout the economy) in the form of un- stable subsidy payments. The current system provides farmers and millers with little incentive to undertake risk management on their own behalf. The private sector has little need to worry about fluctuating prices when making production and investment decisions. In effect, the government has crowded out private sector risk management activities. Overall, the government is the entity most exposed to price variability. Given the large number of relatively small wheat farmers and traders, market partici- pants cannot pursue risk management strategies on their own. The current struc- ture of risk distribution, whereby the government pools the risk of small pro- ducers and traders, may therefore be appropriate. However, having assumed the price risk, the government needs to manage it by taking advantage of mecha- nisms to externalize the price risk or transfer it to other entities. Commodity hedging could be a useful method of managing commodity price risks as long as the market participants understand the mechanisms and the government keeps regulatory, legal, and institutional barriers to a minimum. The government and potential market participants must well understand the nature of hedging, the various instruments available, the potential obstacles, and practical considerations. In particular, commodity hedging using futures, options, and swaps could significantly reduce the variability of the cost of im- ports. The simulations of actual hedging strategies indicate that hedging would reduce the variability of import costs, thereby facilitating the management of public expenditures and planning. Other mechanisms for price stabilization gen- erally cost more than hedging. If the government needs to borrow to finance additional subsidies resulting from unforeseen increases in international wheat prices, the cost of borrowing represents the cost of not hedging. Although hedg- ing involves risks and costs, not hedging may be riskier and costlier. However, commodity hedging operations, which involve simultaneous transactions in cash and futures markets, can be complex and hence require specialized expertise. Of the instruments evaluated, swaps could be more attractive than futures and op- tions because they are easier to implement and financial intermediaries are avail- able to facilitate the transactions. In searching for alternatives to the current system, the government of Paki- stan should consider hedging using futures, options, and swaps, as well as other methods of price stabilization. The government has already considered develop- ing an agricultural buffer fund (Afzal and others 1993). Another possible alter- native would be to borrow and lend in international credit markets to cover unexpected subsidy payments associated with fluctuating commodity prices. Such self-insurance schemes differ from hedging in that they are ex post and require action once unfavorable movements in commodity prices have occurred, while hedging provides ex ante insurance against such price movements. Deaton (1992), however, argues that implementation of self-insurance schemes may be prob- lematic due to the time series properties of commodity prices. Commodity prices tend to have persistent and large swings and a significant element of uncertainty. 290 THE WORLD BANK ECONOMIC REVIEW, VOL 11, NO. 2 Therefore, the government would have to borrow an uncertain amount for an uncertain period of time. During periods of persistently low commodity prices, Deaton argues, the amount required could be substantial. Also, when commod- ity prices are low, borrowing countries are less creditworthy and therefore are more risky to the lender. However, stabilization funds and buffer stock schemes can be used in conjunction with hedging. For example, Claessens and Varangis (1994) show how a stabilization fund can be significantly cheaper to operate if hedging instruments are used to cover extreme movements in commodity prices, thereby allowing a buffer fund to cover price movements within a narrow range of prices. The future configuration of the global wheat environment holds a special significance for wheat import practices in Pakistan. Changes in this environment could affect how Pakistan imports wheat, from whom it imports, and at what price it imports. Transformation of the global environment could result from changes in both the policy environment and the fundamental supply-demand situation. From a policy standpoint, the general trend in global economies is to reduce government spending and adopt more market-oriented policies. The con- text for these changes was the GATT negotiations that led to the formation of the World Trade Organization and a phased reduction of agricultural subsidies. This reduction has already led to reforms in the Common Agriculture Policy of the European Union, which were first instituted in 1992 and continued to be implemented through at least 1996. These reforms have lowered guaranteed wheat prices and have led to lower planted acreage, lower production, and lower intervention stocks of wheat. The volatility of prices and the absolute price level of wheat are likely to increase relative to the level of the 1980s. As a result, the cost of imported wheat will likely be higher for Pakistan than it has been in the past 10 years. Higher world wheat prices in themselves could lead to lower subsidies for export wheat in that as prices rise governments need to provide less in subsidies to make their own wheat competitive in world markets. Most likely, the market changes we describe here will produce a more amenable environment for hedging world prices of wheat on U.S.-based futures exchanges. With U.S. prices less isolated from global factors (in part because of lower subsidies), U.S. wheat futures prices should be more highly correlated with world wheat prices than has been the case in the past. This could mean that countries such as Pakistan should find hedging price risk on U.S. exchanges a more viable option. REFERENCES The word "processed" describes informally reproduced works that may not be com- monly available through library systems. Afzal, Mohammad, Abdus Salam, Mohammad Iftichas, Ahmed Khan, and Mohammad Ashiq. 1993. "Support Pricing Structure in Pakistan." Pakistan journal of Agricul- tural Economics 2:68-97. Faruqee, Coleman, and Scott 291 Akiyama, Takamasa, and Panayotis Varangis. 1991. "Price Stabilization of Raw Jute in Bangladesh." Policy Research Working Paper 813. International Economics Depart- ment, World Bank, Washington, D.C. Processed. Claessens, Stijn, and Jonathan R. Coleman. 1993. "Hedging Commodity Price Risks in Papua New Guinea." 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