Spot Market
For immediate delivery
Forward Contract
Is a bilateral contract that obligates one party to buy and one party to sell a specific quantity of an asset, at a set price, on specific date in the future.
Futures Contract
Is a forward contract that is standardized and exchange-traded.
**Main difference between the two is that futures are traded in an active secondary market, are regulated, backed by a clearinghouse, and require daily settlement of gains and losses.
Regulated by CFTC
CFTC
Commodity Futures Trading Commission
Open Interest in Futures Market
- A long position and a short position on the same contracts are counted as one contract towards open interest.
Commodity Swaps
Custom, privately negotiated packages of forward contracts that have a pre-specified prices (which may vary) and different expiration dates.
- OTC instruments with limited liquidity
Marking-to-market
Change in contact value is transferred in cash from the margin account of the counterparty with a loss in value to the margin account of the counterparty with a gain in value.
Initial Margin
Maintenance Margin
Amount of margin that must be maintained in a futures account and is usually set at 75-80% of the initial margin.
Nearby Contract
Futures contract with the shortest time to expiration
Deferred Contract
Longer maturity futures contracts.
Term Structure of Forward Prices
Simple Forward Pricing Model
F(T) = S for all maturities, T
where,
F(T)= current forward price of a contract expiring at time T
S = spot price
For the above to hold true, following assumptions:
- no transaction costs
- risk free rate zero
- underlying assets can be borrowed at zero
- no div yield, convenience yield, storage costs
- underlying asset can be easily obtained
Contango
A price pattern where forward prices are above the spot price and converge to the spot price from above over time.
- Upward sloping forward curve
Backwardation
Instances in which forward prices are less than the current spot price
Cost of Carry
Measure of financial difference between holding a position in a spot market and hooding a position in a forward market.
Cash and Carry Arbitrage Strategy
At initiation of strategy:
- sell forward contract at F(T)
- borrow cash at risk free, for term of contract, T
- use borrowed funds to buy underlying asset
At contract expiration:
- deliver underlying asset, receive forward price F(T)
- repay interest and principal on the loan
Price of Future Contract > Price Implied
cash and carry arbitrage strategy
Reverse Cash and Carry Arbitrage Strategy
At initiation of strategy:
- buy forward contract at F(T)
- sell underlying asset short at current spot, S
- lend cash received from short at risk free, r
At contract expiration:
- collect loan proceeds, plus interest
- use collect loan proceeds to take delivery of asset at the forward price and cover the short- sale commitment
Forward Pricing Arbitrage Equation
F(T) = S x e^(rxT)
where:
F(T) = price of forward contract
S = spot price of the underlying asset
e = transcendental number used to calculate, ~2.718
r = risk free rate
T = time to maturity of the forward contract
Financial forward equation
F(T) = S x e^[(r-d)xT)]
where:
d= continuously compounded dividend or coupon rate
Financial Forward Pricing Relationships
Explanation of Why Forward Prices are Reduced when
r < d
Convenience Yield
Reflects the return form holding the physical asset