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Topic 4 Introduction to forwards and futures 1. Forward contracts & uses 2. Futures contracts, markets & uses 11/11/2013 Pr. Didier Folus 1

1. Forward contracts and uses 1.1. Definition & example Agreement to buy or sell an underlying asset at a fixed price F t and on a fixed date T in the future, for defined grade, quantity & place of delivery. Example of a forward contract on t = March 1, 2013 : Asset Nominal amount 1 Yellow grain field corn 50,000 bushels (bu) Negotiated price between 2 counterparts Forward price F t 4.00 USD/bu Buyer United Grain Brokers Corp. Seller Corn Grower ltd. Maturity date May 31, 2013 Place of delivery Saint-Louis City, MO Commitment to pay USD 200 000 Commitment to deliver 50 000 bu 11/11/2013 Pr. Didier Folus 2

Example of cash bids : S t price F t price 11/11/2013 Pr. Didier Folus 3

1.2. Basis evolution Basis on t = F t S t Considering maturity T = Jan 31, 2013 : Forward price Spot price prime contango Nov. 7 : basis t=0 = 7.62 7.29 = + 0.33 USD Nov. 8 : basis t=1 = 7.51 7.40 = + 0.11 USD Nov. 9 : basis t=2 = 7.55 7.58 = 0.03 USD Jan. 31 : basis t=86 = 0.00 USD discount backwardation 11/11/2013 Pr. Didier Folus 4

1.3. Using forwards for hedging 1.3.1. Commodity consumer case On t, the Kellog s Co. needs 50,000 bushels of corn, deliverable on T = t + 3 months : spot price S t = 3.60 USD/bu 3 month-forward price... F t = 4.00 USD/bu Solution 1 : buying spot on t storage Solution 2 : buying spot on T Not risky / carrying cost Not costly / risky 11/11/2013 Pr. Didier Folus 5

«loss» «profit» Solution 3 : buying forward on t for delivery on T : deposit 3 % on t. USD 6 000 settling on T USD 200 000 deposit receiving on T 50,000 bu of corn Forward long position at maturity : F t = 4.00 USD/bu Effective hedging price decrease price increase S T Cost of hedging 11/11/2013 Pr. Didier Folus 6

1.3.2. Commodity producer case On t, a farmer expects a 50,000 bushels corn-crop, deliverable on T = t + 3 months : spot price S t = 3.60 USD/bu 3 month-forward price F t = 4.00 USD/bu Solution 1 : selling spot on T Solution 2 : selling forward on t for delivery on T deposit 5 % on t. USD 10 000 delivering on T.. 50,000 bu of corn receiving on T USD 200 000 + deposit 11/11/2013 Pr. Didier Folus 7

1.4. Using forwards for speculation Speculator, owning USD 200 000, expecting a future corn price increase Decision on t : buying forward 50,000 bu of corn at a price of F t = 4.00 USD/bu, settling on T : deposit on t... USD 10 000 settling on T. USD 200 000 deposit receiving + selling corn on T.. USD S T 50,000 result on T (in USD) USD (S T F t ) 50,000 return on T (in %)... (S T F t ) 50,000 /deposit gearing 11/11/2013 Pr. Didier Folus 8

1.5. Using forwards for arbitrage On t, an arbitrageur, having a limit of USD 304 000 : borrows cash USD 300 000 at 5⅓ % for 90 days buys corn spot. 75,000 bu of corn, paying 270 000 USD stores corn... 75,000 bu of corn, paying 20 000 USD sells corn forward 75,000 bu of corn On T, the arbitrageur : delivers corn 75,000 bu receives cash USD 300 000 reimburses USD 300 000 + 4 000 USD interests «Riskfree» profit on T (locked on t) : USD 6 000 Numerous arbitrageurs make disappear the profit quickly 11/11/2013 Pr. Didier Folus 9

1.6. Forwards features About forward contracts : high nominal effective delivery non-tradable on a secundary market counterparty risk customized instruments About forward markets : major underlying assets : currencies, interest rates, commodities... participants : corporations & banks trading the physical asset brokers quotes & market reports 11/11/2013 Pr. Didier Folus 10

Market quotes : USD in London Source : Financial Times, March, 2013. Bid, offer, mid spot rates & forward rates are derivate from Reuters S t F t,1 month F t,3 months F t,1 year 11/11/2013 Pr. Didier Folus 11

2. Futures contracts and markets 2.1. Definition and example Futures contract : exchange traded commitment to pay/deliver an asset for a specific time, place, grade and quantity. Futures price appears through trades, for each maturity. Each buyer/seller faces a margin 11/11/2013 Pr. Didier Folus 12

USD 6.5825 Corn futures quotes USD 6.4050 11/11/2013 Pr. Didier Folus USD 5.8975 13

Dec 2012 corn futures chart Futures use forwards 11/11/2013 Pr. Didier Folus 14

2.3. The operation of margins CME corn futures (up to Sep 2013) : initial margin = USD 2,700 per contract maintenance margin = USD 2,000 per contract Margin is a SPAN parameter Standard Portfolio Analysis of Risk performance On t = Nov 7, 2012, an operator buys 10 CME SEP13-corn futures contracts, at USD 6.60 : commitment to pay 6.60 5 000 10 = USD 330,000 maturity. # 11 months deposit 2,700 10 = USD 27,000 The broker/bank opens a margin account The CME Clearing operates margins 11/11/2013 Pr. Didier Folus 15

Margin account running : Date Settle Quote cents/bu Daily result USD Margin account balance USD Margin call USD Cumulative result USD Nov. 7 660.00 27 000 Nov. 8 662.00 + 1 000 28 000 + 1 000 Nov. 9 639.00 11 500 16 500 3 500 10 500 Nov. 11 636.00 1 500 18 500 1 500 12 000 Nov. 12 661.00 + 12 500 32 500 + 500 Maintenance margin : USD 2,000 per contract Futures contracts are daily marked to market 11/11/2013 Pr. Didier Folus 16

2.4. The clearing house 2.4.1. Functions of the clearing house Authorizing members Being the counterpart of each transaction (registration) Guaranteeing full termination of operations Fixing the deposit Calculating and calling margins, every day Organizing delivery and settlement 11/11/2013 Pr. Didier Folus 17

2.4.2. Rising demand for OTC clearing Increasing demand for clearing operations outside the Exchange traded universe : forwards, IRS, CDS Ex. : freight derivatives strong increase in the business of shipping goods to China shipping rate volatility : hurricanes, oil prices freight forwards : OTC traded, cash-settled OTC clearing facilities : clearing houses exchanges banks Baltic Dry Index Source : Bloomberg, March 3, 2013 11/11/2013 Pr. Didier Folus 18

2.5. Market data from Futures Industry Assoc. 11/11/2013 Pr. Didier Folus 19

Source : FIA Mag, March 2013. 11/11/2013 Pr. Didier Folus 20

Source : FIA Mag, March 2013. 11/11/2013 Pr. Didier Folus 21