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Managing Strategic Foreign Exchange Risk September 23 rd , 2005 Campus Blairon, Turnhout
Strategic FX management: introduction ,[object Object],[object Object],[object Object]
Definition  Strategic FX Risk ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Behavior of  strategic exposure (I) Strategic Exposure Profit Loss FX Rate Spot Is this really the pay-out when the cash flows materialize? In practice this might be totally different…..
Behavior of  strategic exposure (II) Volumes might decrease if the FX rate increases, due to a decrease of the sales price in foreign currency…. Strategic Exposure Profit Loss FX Rate Spot
Behavior of  strategic exposure (III) Strategic Exposure Profit Loss FX Rate Spot Loss might increase if the FX rate decreases, when you cannot increase the pricing of your product; loss of market share….
The strategic exposure Strategic Exposure Profit Loss FX Rate Spot
Use the characteristics of the exposure to create a hedge Strategic Exposure Profit Loss FX Rate Spot The hedge should have the opposite sensitivities…… Strategic Hedge
Use the characteristics of the exposure to create a hedge Strategic Exposure Profit Loss FX Rate Spot In order to create a no loss no profit situation Strategic Hedge
The strategic hedge and  it’s risk behavior (I) ,[object Object],[object Object]
The strategic hedge and  it’s risk behavior (II) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
A side step: The “Greeks” ,[object Object],[object Object],[object Object],[object Object]
Some terminology first ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Delta: the change of the option premium if spot changes ,[object Object],[object Object],[object Object]
Delta sensitivity ,[object Object],[object Object],[object Object],[object Object]
An Example  explaining delta ,[object Object],[object Object],[object Object],[object Object],[object Object]
An Example explaining delta ,[object Object],[object Object],[object Object],[object Object],[object Object]
An Example explaining delta ,[object Object],[object Object],[object Object],[object Object]
Delta-neutral positions ,[object Object],[object Object],[object Object]
Conclusion ,[object Object],[object Object],[object Object],[object Object]
Gamma: the change of delta  as spot changes  ,[object Object],[object Object],[object Object]
An Example explaining gamma ,[object Object],[object Object],[object Object]
An Example explaining gamma ,[object Object],[object Object],[object Object]
An Example explaining gamma ,[object Object],[object Object]
An Example explaining gamma ,[object Object],[object Object],[object Object],[object Object],[object Object]
Conclusions of the gamma example ,[object Object],[object Object]
Conclusions of the  gamma example ,[object Object],[object Object],[object Object]
Preliminary conclusions for the Strategic Hedge ,[object Object],[object Object]
Vega: sensitivity of premium  to a change in volatility ,[object Object],[object Object],[object Object]
Vega: sensitivity of premium  to a change in volatility ,[object Object],[object Object],[object Object]
Example of  Vega sensitivity USD Call / EUR Put option, strike At-the-money (Premiums in % of USD face amount) 0.275 1.655 1.380 6 – months 0.195 1.185 0.990 3 – months 0.055 0.330 0.275 1 – week Premium change  (Vega) Premium  at 6% Vol Premium  at 5% Vol Maturity
Conclusions on Vega ,[object Object],[object Object]
Preliminary conclusions  for the Strategic Hedge ,[object Object],[object Object],[object Object]
Theta: the loss of  option premium over time ,[object Object],[object Object],[object Object]
Conclusions on the Greeks for the Strategic Hedge ,[object Object],[object Object],[object Object],[object Object]
The Strategic hedge ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Create the initial Hedge ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Create the initial Hedge ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Characteristics  initial hedge Long Foreign Currency in FCF Short Foreign Currency in FCF ,[object Object],[object Object],[object Object],[object Object],NO PROBLEM NO PROBLEM ,[object Object],[object Object],[object Object],[object Object],Foreign Currency Depreciates Foreign Currency Appreciates
Characteristics hedge Profit Loss FX Rate Long Exposure Strategic Hedge Net Result Result if no negative elasticity’s influence the anticipated exposure
Characteristics hedge Long Exposure Profit Loss FX Rate Result if elasticity’s turn against you Worse or worst case net Result Strategic Hedge
Example ,[object Object],[object Object],[object Object],[object Object],[object Object]
Goals and Objectives ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Greeks at inception of the initial hedge Note: the Delta moves in favor if spot moves! -17,523,245 -16,029,401 -14,933,202 -14,497,786 -14,102,205 -13,309,031 -12,356,940 2%   -16,906,977 -15,248,301 -14,091,828 -13,660,090 -13,279,583 -12,509,752 -11,532,711 1%   -16,219,525 -14,345,281 -13,113,971 -12,693,428 -12,340,333 -11,612,577 -10,610,240 0% Volatility -15,446,876 -13,286,574 -11,959,801 -11,563,662 -11,258,786 -10,602,985 -9,577,412 -1%   -14,569,867 -12,026,747 -10,574,267 -10,226,176 -10,005,623 -9,469,636 -8,428,696 -2%   5% 3% 1% 0% -1% -3% -5% CC2           Spot       Delta  
What does this mean? ,[object Object],[object Object],[object Object]
Result of exposure year 1 + long term hedge
The hedge has to be  managed continuously ,[object Object],[object Object],[object Object],[object Object]
In 2 months time  the Greeks look like If spot does not move there is no time decay: Theta is positive!  As a result the option value is increasing if spot does not move. -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
In 2 months time  the Greeks look like If spot does not move there is no time decay: Theta is positive!  As a result the option value is increasing if spot does not move. Having a positive theta implies by definition that gamma is negative. -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
In 2 months time  the Greeks look like A negative gamma means that for these spot movements delta is moving against you. This is the reason why the initial hedge has a delta > USD 10mln -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
In 2 months time  the Greeks look like For bigger movements in spot gamma becomes positive, hedging your elasticity’s -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
In 2 months time  the Greeks look like When gamma is positive delta will move in your favor. If EUR/USD spot moves up with more than 1%, delta is increasing up to USD 50mln. So your hedged amount is increasing when spot moves against you. -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
In 2 months time  the Greeks look like When gamma is positive delta will move in your favor. If EUR/USD spot moves down with more than 1%, delta is decreasing, reducing your hedged amount. So your business profits from the increasing USD rate. -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
Result of exposure  year 1 + long term hedge
Managing the  Strategic hedge ,[object Object],[object Object],[object Object],[object Object]
If USD moves up  (= EUR/USD down) Profit Loss EUR/FC Initial hedge After Adjustment
If USD moves down (= EUR/USD up) Profit Loss EUR/FC Initial hedge After Adjustment
Managing the  Strategic hedge ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Strategic Fx Risk Management

  • 1. Managing Strategic Foreign Exchange Risk September 23 rd , 2005 Campus Blairon, Turnhout
  • 2.
  • 3.
  • 4. Behavior of strategic exposure (I) Strategic Exposure Profit Loss FX Rate Spot Is this really the pay-out when the cash flows materialize? In practice this might be totally different…..
  • 5. Behavior of strategic exposure (II) Volumes might decrease if the FX rate increases, due to a decrease of the sales price in foreign currency…. Strategic Exposure Profit Loss FX Rate Spot
  • 6. Behavior of strategic exposure (III) Strategic Exposure Profit Loss FX Rate Spot Loss might increase if the FX rate decreases, when you cannot increase the pricing of your product; loss of market share….
  • 7. The strategic exposure Strategic Exposure Profit Loss FX Rate Spot
  • 8. Use the characteristics of the exposure to create a hedge Strategic Exposure Profit Loss FX Rate Spot The hedge should have the opposite sensitivities…… Strategic Hedge
  • 9. Use the characteristics of the exposure to create a hedge Strategic Exposure Profit Loss FX Rate Spot In order to create a no loss no profit situation Strategic Hedge
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31. Example of Vega sensitivity USD Call / EUR Put option, strike At-the-money (Premiums in % of USD face amount) 0.275 1.655 1.380 6 – months 0.195 1.185 0.990 3 – months 0.055 0.330 0.275 1 – week Premium change (Vega) Premium at 6% Vol Premium at 5% Vol Maturity
  • 32.
  • 33.
  • 34.
  • 35.
  • 36.
  • 37.
  • 38.
  • 39.
  • 40. Characteristics hedge Profit Loss FX Rate Long Exposure Strategic Hedge Net Result Result if no negative elasticity’s influence the anticipated exposure
  • 41. Characteristics hedge Long Exposure Profit Loss FX Rate Result if elasticity’s turn against you Worse or worst case net Result Strategic Hedge
  • 42.
  • 43.
  • 44. The Greeks at inception of the initial hedge Note: the Delta moves in favor if spot moves! -17,523,245 -16,029,401 -14,933,202 -14,497,786 -14,102,205 -13,309,031 -12,356,940 2%   -16,906,977 -15,248,301 -14,091,828 -13,660,090 -13,279,583 -12,509,752 -11,532,711 1%   -16,219,525 -14,345,281 -13,113,971 -12,693,428 -12,340,333 -11,612,577 -10,610,240 0% Volatility -15,446,876 -13,286,574 -11,959,801 -11,563,662 -11,258,786 -10,602,985 -9,577,412 -1%   -14,569,867 -12,026,747 -10,574,267 -10,226,176 -10,005,623 -9,469,636 -8,428,696 -2%   5% 3% 1% 0% -1% -3% -5% CC2           Spot       Delta  
  • 45.
  • 46. Result of exposure year 1 + long term hedge
  • 47.
  • 48. In 2 months time the Greeks look like If spot does not move there is no time decay: Theta is positive! As a result the option value is increasing if spot does not move. -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
  • 49. In 2 months time the Greeks look like If spot does not move there is no time decay: Theta is positive! As a result the option value is increasing if spot does not move. Having a positive theta implies by definition that gamma is negative. -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
  • 50. In 2 months time the Greeks look like A negative gamma means that for these spot movements delta is moving against you. This is the reason why the initial hedge has a delta > USD 10mln -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
  • 51. In 2 months time the Greeks look like For bigger movements in spot gamma becomes positive, hedging your elasticity’s -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
  • 52. In 2 months time the Greeks look like When gamma is positive delta will move in your favor. If EUR/USD spot moves up with more than 1%, delta is increasing up to USD 50mln. So your hedged amount is increasing when spot moves against you. -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
  • 53. In 2 months time the Greeks look like When gamma is positive delta will move in your favor. If EUR/USD spot moves down with more than 1%, delta is decreasing, reducing your hedged amount. So your business profits from the increasing USD rate. -5,650 -5,306 -2,761 15,861 -2,890 -4,027 -2,710 Theta (€) 176,070 175,872 159,006 151,570 145,761 113,121 69,461 Vega (€) 1,005,888 1,004,753 444,606 -4,432,586 274,374 646,257 396,829 Gamma ($) -22,602,886 -15,121,156 -9,741,674 -12,211,357 -14,980,178 -10,722,447 -6,874,768 Delta ($) 1,663,058 1,101,426 781,117 709,560 605,850 203,879 -183,532 Premium (€) 10% 5% 1% 0% -1% -5% -10% spot move
  • 54. Result of exposure year 1 + long term hedge
  • 55.
  • 56. If USD moves up (= EUR/USD down) Profit Loss EUR/FC Initial hedge After Adjustment
  • 57. If USD moves down (= EUR/USD up) Profit Loss EUR/FC Initial hedge After Adjustment
  • 58.
  • 59.