The Basics of Futures Contracts
The futures contract calls for delivery of a commodity at a specified delivery or maturity
date, for an agreed-upon price, called the futures price, to be paid at contract maturity. The
contract specifies precise requirements for the commodity. For agricultural commodities,
the exchange sets allowable grades (e.g., No. 2 hard winter wheat or No. 1 soft red wheat).
The place or means of delivery of the commodity is specified as well. Delivery of agri-
cultural commodities is made by transfer of warehouse receipts issued by approved ware-
houses. For financial futures, delivery may be made by wire transfer; for index futures,
delivery may be accomplished by a cash settlement procedure such as those for index
options. Although the futures contract technically calls for delivery of an asset, delivery
rarely occurs. Instead, parties to the contract much more commonly close out their posi-
tions before contract maturity, taking gains or losses in cash.
Because the futures exchange specifies all the terms of the contract, the traders need
bargain only over the futures price. The trader taking the long position commits to pur-
chasing the commodity on the delivery date. The trader who takes the short position com-
mits to delivering the commodity at contract maturity. The trader in the long position is
said to “buy” a contract; the short-side trader “sells” a contract. The words buy and sell
22.1
The Futures Contract
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P A R T V I
Options, Futures, and Other Derivatives
are figurative only, because a contract is not really bought or sold like a stock or bond; it
is entered into by mutual agreement. At the time the contract is entered into, no money
changes hands.
Figure 22.1 shows prices for several futures contracts as they appear in The Wall Street
Journal. The boldface heading lists in each case the commodity, the exchange where the
futures contract is traded, the contract size, and the pricing unit. The first agricultural con-
tract listed is for corn, traded on the Chicago Board of Trade (CBT). (The CBT merged
with the Chicago Mercantile Exchange in 2007 but, for now, maintains a separate identity.)
Each contract calls for delivery of 5,000 bushels, and prices in the entry are quoted in cents
per bushel.
The next several rows detail price data for contracts expiring on various dates. The
March 2013 maturity corn contract, for example, opened during the day at a futures price
of 720.25 cents per bushel. The highest futures price during the day was 726, the lowest
was 714.50, and the settlement price (a representative trading price during the last few
minutes of trading) was 724.25. The settlement price increased by 3.50 cents from the
previous trading day. Finally, open interest, or the number of outstanding contracts, was
494,588. Similar information is given for each maturity date.
The trader holding the long position, that is, the person who will purchase the good,
profits from price increases. Suppose that when the contract matures in March, the price
of corn turns out to be 729.25 cents per bushel. The long-position trader who entered the
contract at the futures price of 724.25 cents therefore earns a profit of 5 cents per bushel.
As each contract calls for delivery of 5,000 bushels, the profit to the long position equals
5,000 3 $.05 5 $250 per contract. Conversely, the short position loses 5 cents per bushel.
The short position’s loss equals the long position’s gain.
To summarize, at maturity:
Profit to long 5 Spot price at maturity 2 Original futures price
Profit to short 5 Original futures price 2 Spot price at maturity
where the spot price is the actual market price of the commodity at the time of the delivery.
The futures contract, therefore, is a zero-sum game, with losses and gains netting out to
zero. Every long position is offset by a short position. The aggregate profits to futures trad-
ing, summing over all investors, also must be zero, as is the net exposure to changes in the
commodity price. For this reason, the establishment of a futures market in a commodity
should not have a major impact on prices in the spot market for that commodity.
Figure 22.2 , panel A is a plot of the profits realized by an investor who enters the long
side of a futures contract as a function of the price of the asset on the maturity date. Notice
that profit is zero when the ultimate spot price, P
T
, equals the initial futures price, F
0
.
Profit per unit of the underlying asset rises or falls one-for-one with changes in the final
spot price. Unlike the payoff of a call option, the payoff of the long futures position can
be negative: This will be the case if the spot price falls below the original futures price.
Unlike the holder of a call, who has an option to buy, the long futures position trader can-
not simply walk away from the contract. Also unlike options, in the case of futures there is
no need to distinguish gross payoffs from net profits. This is because the futures contract
is not purchased; it is simply a contract that is agreed to by two parties. The futures price
adjusts to make the present value of entering into a new contract equal to zero.
The distinction between futures and options is highlighted by comparing panel A of
Figure 22.2 to the payoff and profit diagrams for an investor in a call option with exercise
price, X, chosen equal to the futures price F
0
(see panel C). The futures investor is exposed
to considerable losses if the asset price falls. In contrast, the investor in the call cannot lose
more than the cost of the option.
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Copper-High
(CMX)-25,000 Ibs.; $ per Ib.
Jan 3.6580
3.6760
3.6520
3.6645
20.0065 411
March 3.6725
3.6965 3.6610 3.6765
20.0080 103,266
Gold
(CMX)-100 troy oz.; $ per troy oz.
Feb 1683.80
1685.80
1664.20
1669.90
216.80 160,918
April 1686.40
1688.10 1666.40 1672.10
216.80 149,804
June 1688.10
1689.60 1669.50 1674.20
216.80 38,688
Aug 1689.00
1689.00
1670.60
1676.00
216.80 24,841
Oct 1689.50
1690.20
1673.10
1677.70
216.90 11,949
Dec 1694.70
1694.70
1674.40
1679.60
216.90 26,055
miNY Gold (CMX)
-50 troy oz.; $ per troy oz.
Feb 1684.25
1684.50
1664.75
1670.00
216.70 2,282
April 1683.50
1684.00 1667.75 1672.00
216.90 96
June 1684.00
1684.00 1674.50 1674.25
216.75 12
Palladium
(NYM)-50 troy oz.; $ per troy oz.
Feb 718.80
718.80
718.70
726.30 0.50
4
March 725.20
728.80 716.60 726.70 0.50 30,654
June 725.55
729.90 719.20 728.15 0.65 1,480
Platinum
(NYM)-50 troy oz.; $ per troy oz.
Jan 1681.80
1681.80
1674.00
1682.80
28.90 47
Feb 1673.00
1680.40
1673.00
1680.80
28.00 13
Silver
(CMX)-5,000 troy oz.; $ per troy oz.
Jan 31.735
31.750
31.735
31.695
20.714 17
March 32.240
32.245 31.605 31.722
20.717 78,766
miNY Silver (CMX)
-2500 troy oz.; $ per troy oz.
March 32.138
32.438 31.613 31.725
20.714 295
May 31.863
31.900
31.838 31.775
20.722 11
Sept 32.038
32.038
32.038 31.875
20.717 1
Crude Oil, Light Sweet
(NYM)-1,000 bbls.; $ per bbl.
March 95.50
96.68 95.12 95.95 0.72 295,685
April 95.89
97.16 95.60 96.45 0.70 102,709
May 96.38
97.58
96.00 96.90 0.69 86,130
Aug 96.42
97.57
96.32
97.31 0.73 38,272
Sept 96.08
97.58
96.07 97.07 0.71 51,513
Oct 96.10
96.96
96.04
96.77 0.69 41,212
Heating Oil No.2 (NYM)
-42,000 gal.; $ per gal.
Feb 3.0795
3.0958
3.0693
3.0864 .0083 46,296
March 3.0674
3.0848 3.0561 3.0764 .0112 83,625
Gasoline-NY RBOB (NYM)
-42,000 gal.; $ per gal.
Feb 2.8335
2.8762
2.8171
2.8629 .0291 39,099
March 2.8495
2.8882 2.8316 2.8767 .0278 121,519
Natural Gas
(NYM)-10,000 MMBtu.; $ per MMBtu.
Feb 3.570
3.592
3.441
3.446
2.108 47,921
March 3.569
3.588 3.447 3.454
2.099 320,563
April 3.597
3.613 3.482 3.490
2.091 159,548
May 3.653
3.667
3.540 3.549
2.088 94,821
Oct 3.804
3.826
3.703
3.715
2.080 104,406
Jan’14 4.218 4.219 4.123 4.135
2.068 78,522
Agriculture Futures
Corn
(CBT)-5,000 bu.; cents per bu.
March 720.25
726.00 714.50 724.25 3.50 494,588
Dec 589.75
591.00
583.75
585.50
24.75 223,643
Ethanol
(CBT)-29,000 gal.; $ per gal.
Feb 2.367
2.383
2.367
2.382 .01 1,131
March 2.378 2.397 2.374 2.396 .01 1,605
Oats
(CBT)-5,000 bu.; cents per bu.
March 360.00
361.25 355.50 361.00 1.25 7,404
May 365.50
367.75
362.75 367.75 ... 2,438
Soybeans
(CBT)-5,000 bu.; cents per bu.
March 1437.00
1439.00 1415.00 1435.25
21.75 226,757
May 1426.75
1428.25
1404.50 1423.75
23.00 140,830
Soybean Meal
(CBT)-100 tons.; $ per ton.
March 416.50
417.00 408.00 414.70
21.80 127,823
MAy 412.10
412.50
404.20 410.60
21.50 56,552
Soybean Oil
(CBT)-60,000 lbs.; cents per lb.
March 52.04
52.20 51.50 52.11 .08
155,915
May 52.40
52.60
51.87 52.49 .00 59,010
Rough Rice
(CBT)-2,000 cwt.; cents per cwt.
March 1530.50
1537.00 1523.00 1528.50
22.00 12,472
May 1562.00
1562.00
1554.50 1560.50
22.00 1,490
Wheat
(CBT)-5,000 bu.; cents per bu.
March 775.50
775.75 763.00 768.50
26.25 226.800
July 788.25
788.75
777.00 782.25
26.50 83,615
Wheat
(KC)-5,000 bu.; cents per bu.
March 819.00
820.00 816.75 821.50
28.75 91,904
July n.a.
n.a.
835.25
840.50
28.00 35,595
Wheat
(MPLS)-5,000 bu.; cents per bu.
March 860.00
860.75 852.25 855.50
25.00 20,338
May 872.25
872.25
864.50 867.50
24.75 9,776
Cattle-Feeder
(CME)-50,000 lbs.; cents per lb.
Jan 144.425
145.000
144.100
144.600 .400 2,205
March 147.300
148.575 146.725 147.950 .800 14,972
Cattle-Live
(CME)-40,000 lbs.; cents per lb.
Feb 126.100
126.875
125.625
125.875 .100 47,761
April 130.650
131.425 130.175 130.350
2.100 155,046
Coffee
(ICE-US)-37,500 lbs.; cents per Ib.
March 150.65
151.30 146.10 146.55
23.85 90,658
May 153.75
154.20
149.10 149.50
23.85 29,315
Sugar-World
(ICE-US)-112,000 lbs.; cents per Ib.
March 18.54
18.59 18.31 18.49
2.01 341,806
May 18.59
18.59
18.30 18.46
2.07 167,304
Sugar-Domestic
(ICE-US)-112,000 lbs.; cents per Ib.
March 21.00
21.00 20.55 20.88
2.67 958
May 21.45
21.45
21.10 21.23
2.43 4,057
Cotton
(ICE-US)-50,000 Ibs.; cents per Ib.
March 80.10
84.00 80.00 82.89 2.41 132,025
May 80.35
82.95
80.15 82.20 1.53 34,978
Orange Juice
(ICE-US)-15,000 Ibs.; cents per Ib.
March 115.60
116.80 113.00 113.20
22.40 14,247
May 116.55
117.40
114.30 114.30
22.20 4,127
Interest Rate Futures
Treasury Bonds
(CBT)-$100,000; pts 32nds of 100%
March 146-050
146-150 145-090 145-270
24.0 548,615
June 144-170
144-300 143-300 144-120
24.0 747
Treasury Notes
(CBT)-$100,000; pts 32nds of 100%
March 132-120
132-175 131-315 132-075
22.0 1,865,707
June 131-125
131-130 131-000 131-060
22.0 24,269
5 Yr. Treasury Notes
(CBT)-$100,000; pts 32nds of 100%
March 124-082
124-102 124-020 124-060
21.0 1,527,948
June 123-255
123-267 123-207 123-245
21.0 3,958
2 Yr. Treasury Notes
(CBT)-$200,000; pts 32nds of 100%
March 110-077
110-080 110-070 110-075 ...
1,007,447
June 110-070
110-075 110-065 110-067 ... 1,956
30 Day Federal Funds
(CBT)-$5,00,000; 100-daily avg.
Jan 99.858
99.858
99.855
99.858 ...
57,169
March ...
99.875
99.865
99,870 ...
36,813
10 Yr. Int. Rate Swaps
(CBT)-$100,000; pts 32nds of 100%
March 118.922
118.922 118.422 118.609
2.078 9,349
1 Month Libor
(CME)
-$3,000,000
; pts of 100%
Feb ...
...
...
99.7975 ... 3,622
Eurodollar
(CME)-$1,000,000; pts of 100%
Feb 99.7025
99.7050
99.7000
99.7025 .0025 53,143
March 99.7000
99.7050 99.7000 99.7000 ...
835,707
June 99.6850
99.6850 99.6800 99.6800 ...
706,194
Dec 99.6400
99.6400
99.6250
99.6300
2.0050 728,161
Currency Futures
Japanese Yen
(CME)-¥12,500,000; $ per 100¥
March 1.1296
1.1313 1.1045 1.1119
2.0163 204,630
June 1.1310
1.1310 1.1056 1.1127
2.0164 991
Canadian Dollar
(CME)-CAD 100,000; $ per CAD
March .9992
.9997 .9952 .9958
2.0036 139,041
June .9970
.9978 .9934 .9938
2.0036 2,204
British Pound
(CME)-£62,500; $ per £
March 1.5828
1.5848 1.5752 1.5787
2.0049 158,952
June 1.5830
1.5837 1.5750 1.5781
2.0049 236
Swiss Franc
(CME)-CHF 125,000; $ per CHF
March 1.0758
1.0782 1.0730 1.0779 .0016 40,548
Australian Dollar
(CME)-AUD 100,000; $ per AUD
March 1.0495
1.0509 1.0405 1.0433
2.0074 204,989
June 1.0405
1.0441 1.0355 1.0366
2.0073 331
Sept 1.0320
1.0320
1.0310 1.0303
2.0073 1
Mexican Peso
(CME)-MXN 500,000; $ per 10MXN
March .07830
.07893 .07820 .07865 .00015 187,352
June .07758
.07783 .07758 .07798 .00015
122
Euro
(CME)-
€125,000; $ per €
March 1.3317
1.3398 1.3291 1.3378 .0053 216,667
June 1.3329
1.3400 1.3300 1.3385 .0052 1,777
Euro/Japanese Yen
(ICE-US)-
€125,000; ¥ per €
March 117.675
11.6750 11.6750 120.3200 2.2100
4,186
Euro/British Pound
(ICE-US)-
€125,000; £ per €
March ...
... ...
0.8474 .0060 2,992
Euro/Swiss France
(ICE-US)-
€125,000; CHF per €
March 1.2376
1.2445 1.2360 1.2411 .0031 8,588
Index Futures
DJ Industrial Average
(CBT)-$10
3 index
March 13706
13815 13703 13781 62
10,749
Mini DJ Industrial Average
(CBT)-$5
3 index
March 13702
13818 13701 13781 62
112,004
S&P 500 Index
(CME)-$250
3 index
March 1483.80
1497.50 1483.30 1491.80 1.50 194,350
June 1482.90
1491.60 1480.60 1485.10 1.50 4,188
Mini S&P 500
(CME)-$50
3 index
March 1483.25
1497.75 1482.75 1491.75 1.50
2,972,476
June 1477.25
1491.25 1476.25 1485.00 1.50 18,475
Mini S&P Midcap 400
(CME)-$100
3 index
March 1077.50
1089.20 1075.70 1086.30 4.70 116,953
Nasdaq 100
(CME)-$100
3 index
March 2716.75
2743.50 2709.75 2718.25
240.75 10,891
Open
Settle
Chg
Open
interest
High hi lo low
Contract
Open
Settle
Chg
Open
interest
High hi lo low
Contract
Metal & Petroleum Futures
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