Lecture 19: Forwards & Futures. First Futures Market: Osaka Begun at Dojima, Osaka, Japan, in 1670s. Worlds only futures market until 1860s. Dojima was.

Lecture 19: Forwards & Futures

First Futures Market: Osaka

• Begun at Dojima, Osaka, Japan, in 1670s. World’s only futures market until 1860s.

• Dojima was center for rice trade, with 91 rice warehouses in 1673.

• Dojima futures exchange had precise definitions of quality, delivery date and place, experts who evaluated rice quality, and clearinghouses for contracts.

• Trading floor, daily resettlement, burning fuse, and watermen

Function of Osaka Futures Market

• Japan had sophisticated financial contracts before the futures market, partly under influence of Dutch.

• Rice bills and silver bills were kinds of forward contracts.

• Osaka market provided liquidity and price discovery for rice, allows merchants to hedge.

Issues for Rice Warehouser

• Warehousing itself is a stable business, little risk

• Great risk in fluctuation in rice price

• Warehouser may seek to sell the rice forward and lock in initial price. But, a forward contract is illiquid, difficult

Forward Contract

• Forward is just a contract to deliver at a future date (exercise date or maturity date) at a specified exercise price.

• Example: Rice farmer sells rice to warehouser.• Example: Foreign Exchange (FX) forward.

Contract to sell £ for ¥.• Both sides are locked into the contract, no

liquidity.• What will warehouse think if rice farmer tries to

get out of the contract?

Problem with Forwards: Default

• Farmer and warehouser must check each others’ creditworthiness

• Forward contracts are inherently credit instruments.

• Only people with good credit can use them.

FX Forwards and Forward Interest Parity

• FX Forward is like a pair of zero coupon bonds.

• Therefore, forward rate reflects interest rates in the two currencies

• Forward Interest Parity:

$1

1(Y/$) rate exchangespot

(Y/$) rate exchange forward

r

rY

Forward Rate Agreements

• Promises interest rate on future loan.

• L=actual interest rate on contract date

• R=contract rate

• D=days in contract period

• A=contract amount

• B=360 or 365 days

DLB

ADRL

)100(

)(Settlement

Futures Contracts

• Futures contracts differ from forward contracts in that contractors deal with an exchange rather than each other, and thus do not need to assess each others’ credit.

• Futures contracts are standardized retail products, rather than custom products.

• Futures contracts rely on margin calls to guarantee performance.

Buying or Selling Futures

• When one “buys” a futures contract, one agrees with the exchange to a daily settlement procedure that is only loosely analogous to buying the commodity. One must post initial margin with the futures commission merchant.

• Usually, one has no intention of taking delivery of the commodity

• Same as when one “sells” a futures contract, no intention of selling the commodity. Again, post margin.

Daily Settlement

• Every day, the exchange defines a price called the “settle” price, which is essentially the last trade on that day.

• Every day until expiration a buyer’s margin account is credited (or debited if negative) with the amount: change in settle price contract amount

• If contract is cash settled, on the last day the margin account is credited with (cash settle price-last settle price)contract amount.

• If contract is physical delivery, on last day buyer must receive commodity

Example: Farmer in Iowa

• Farmer in March is planting crop expected to yield 50,000 bushels of corn. By this business, farmer is “long” 50,000 bushels. Farmer “sells” ten Chicaco September corn contracts for $2.335*$50000 =$116,750. Posts margin.

• Corn products manufacturer plans to buy corn at harvest time, “buys” the ten contracts, posts margin.

• Come September, both buyer and seller close out position.

• Changes in margin account mean that price was effectively locked in at $2.335/bushel for both.

Basis Risk

• Basis risk = risk that Iowa corn prices will not match Chicago settle prices

• Option of physical delivery in the corn contract means that arbitrageurs will keep basis risk down.

• Arbitrageurs may load corn in Iowa and ship to Chicago if Iowa price is below Chicago price. Arbitrageurs activity means farmers don’t have to ship to Chicago.

Fair Value in Futures Contract

• r = interest rate

• s = storage cost

• r+s=cost of carry

(See http://www.indexarb.com)

)1( srPP spotfuture

Arbitrage Enforcing Fair Value

• If commodity is in storage, there is a profit opportunity that will tend to drive to zero any difference from fair value.

• If commodity is not in storage, then it is possible that:

)1( srPP spotfuture

Holbrook Working on Futures

• “Futures” term is misleading, “cash” or “spot transactions sometimes involve deliveries that are further in the future

• Only a few percent of farmers use futures• Grain elevators often serve as risk-managing

intermediaries for farmers• But open interest tends to follow inventories in

commercial storage, not crop growing in the fields.• Essence of futures market is standardization, price

discovery, and liquidity

Example of Hard Winter Wheat (Holbrook Working)

• No. 2 Hard Winter Wheat Kansas City Wheat Futures

• Plant winter wheat in Fall, harvest in May

• ¾ of US wheat crop is hard.

• Hard wheat is used for bread, soft wheat for pie crusts, breakfast foods and biscuits

Working’s Example of Wheat in Storage, Typical Year

• July 2Spot 229 ¼

Sept future 232 ¼

Spot premium –3

Basis 3

• September 4Spot 232 ½

Sept future 233 ½

Spot premium –1

Basis 1

Gain of 2 (reflects gain in premium)

Continuing Working’s Example

• Sept 4Spot No. 2 232 ½

Dec. Future 238 ¼

Spot Premium –5 3/4

• December 1252

252

0

Gain of 5 3/4

Just Before May Harvest

• May 1Spot No. 2 247 ¼

July future 229 ¼

Spot premium +18

• July 1Spot No. 2 218 1/2

July future 225

Spot premium –6 ½

Loss of 24 1/2

Iowa Electronic Markets

From Agricultural Futures to Financial Futures

• Financial futures markets began in US in 1970s.

• Same concepts of fair value, hedging, gain and loss due to change in basis.