Title: Lecture 19: Forwards & Futures
1Lecture 19 Forwards Futures
2First Futures Market Osaka
- Begun at Dojima, Osaka, Japan, in 1670s. Worlds
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
3Function 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.
4Issues 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
5Forward 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?
6Problem 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.
7FX 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
8Forward Rate Agreements
- Promises interest rate on future loan.
- Lactual interest rate on contract date
- Rcontract rate
- Ddays in contract period
- Acontract amount
- B360 or 365 days
9Futures 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.
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11Buying 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.
12Daily 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 buyers 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
13Example 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
2.33550000 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.
14Basis 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 dont have to
ship to Chicago.
15Fair Value in Futures Contract
- r interest rate
- s storage cost
- rscost of carry
- (See http//www.indexarb.com)
16Arbitrage 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
17Holbrook 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
18Example 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
19Workings Example of Wheat in Storage, Typical
Year
- July 2
- Spot 229 ¼
- Sept future 232 ¼
- Spot premium 3
- Basis 3
- September 4
- Spot 232 ½
- Sept future 233 ½
- Spot premium 1
- Basis 1
- Gain of 2 (reflects gain in premium)
20Continuing Workings Example
- Sept 4
- Spot No. 2 232 ½
- Dec. Future 238 ¼
- Spot Premium 5 3/4
- December 1
- 252
- 252
- 0
- Gain of 5 3/4
21Just Before May Harvest
- May 1
- Spot No. 2 247 ¼
- July future 229 ¼
- Spot premium 18
- July 1
- Spot No. 2 218 1/2
- July future 225
- Spot premium 6 ½
- Loss of 24 1/2
22Iowa Electronic Markets
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24From 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.