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Hedging Strategies Using Futures Chapter 3 (All Pages) Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Long & Short Hedges ,[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Arguments in Favor of Hedging ,[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Arguments against Hedging ,[object Object],[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Convergence of Futures to Spot (Hedge initiated at time  t 1  and closed out at time  t 2 ) Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010 Time Spot  Price Futures Price t 1 t 2
Basis Risk ,[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Long Hedge  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Short Hedge ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Choice of Contract ,[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Optimal Hedge Ratio ,[object Object],[object Object],[object Object],[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Tailing the Hedge ,[object Object],[object Object],[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Hedging Using Index Futures (Page 63) ,[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Reasons for Hedging an Equity Portfolio ,[object Object],[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Example – Page 64 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Changing Beta ,[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Stock Picking ,[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Rolling The Hedge Forward ,[object Object],[object Object],Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
Practice Problems: ,[object Object],[object Object],[object Object],[object Object],Fundamentals of Futures and Options Markets , 6 th  Edition, Copyright  © John  C. Hull 2007

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Ch03 hullfundamentals7thed

  • 1. Hedging Strategies Using Futures Chapter 3 (All Pages) Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010
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  • 5. Convergence of Futures to Spot (Hedge initiated at time t 1 and closed out at time t 2 ) Fundamentals of Futures and Options Markets, 7th Ed, Ch3, Copyright © John C. Hull 2010 Time Spot Price Futures Price t 1 t 2
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Editor's Notes

  1. Small businesses or corporations with little knowledge or exposure to factors affecting underlying asset prices. Example: Starbucks hedging its energy exposure.
  2. Airline Example – Jet Fuel Hedging when competitors don’t… Discuss example of power utility or Oil producer. The decision to hedge and if so how much (%) and how far forward (Yrs) Are there any natural hedges for these examples? Exelon & Sunoco for example.
  3. Discuss Contango vs. Backwardation nearby vs. forward futures In graph above, futures may actually fall below spot between t1 & t2 – basis can be volatile What factors could affect this? 1) Shortage of physical commodity (inverts) 2) interest rates rising (widens)
  4. Note: Storage may not be available – what typically happens to basis then? – basis increases – futures move higher than spot Other reason for basis – expected quality difference of product likely to be delivered to exchange – Oil with sulfur content
  5. Can there be basis at futures expiration? Discuss how – Quality difference at settlement – delivery costs – because contracts typically require seller to have product delivered to exchange approved location.
  6. This also works for hedging individual stock positions, but the hedges performance is considerably worse because overall market risk is a much smaller proportional factor influencing the individual stock’s price. =B*Va/Vf, where Va = Market value of portfolio
  7. N = B*Va/Vf = 1.5*$5.05mm/($250*1010) = 30 contracts (pg. 64) Therefore the gain on futures only is: 30 x (1010-902) x 250 = $810,000 (Pg. 64)
  8. (B-B*) Va/Vf = (1.5-.75) 5.05M/252,500 = sell 15 contracts (B*-B) Va/Vf = (2.0 – 1.5) 5.05M/252500 = buy 10 contracts Formulas on Page 66
  9. Example top page 68 – Table 3.5