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You are an options portfolio manager for AUD/USD. You have just traded a 44 delta risk-reversal with an fellow institutional portfolio manager whereby you are the seller of AUD calls. The face value is A$5 million Determine the amount of the delta-hedge that will be required with this counterparty. (Please round your response to the nearest whole A$ - being a positive number if you buy AUD from the counterparty, and a negative number if you sell to the counterparty)

Question

You are an options portfolio manager for AUD/USD. You have just traded a 44 delta risk-reversal with an fellow institutional portfolio manager whereby you are the seller of AUD calls. The face value is A5millionDeterminetheamountofthedeltahedgethatwillberequiredwiththiscounterparty.(PleaseroundyourresponsetothenearestwholeA5 million Determine the amount of the delta-hedge that will be required with this counterparty. (Please round your response to the nearest whole A - being a positive number if you buy AUD from the counterparty, and a negative number if you sell to the counterparty)

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Solution 1

To calculate the amount of the delta-hedge, you need to multiply the face value of the option by the delta.

In this case, the face value is A$5 million and the delta is 0.44 (44 delta means the option's price will move by 44% of the underlying asset's price movement).

So, the calculation is as follows:

5,000,000 AUD * 0.44 = 2,200,000 AUD

Since you are the seller of AUD calls, you are obligated to sell AUD if the option is exercised. Therefore, to delta-hedge, you need to buy AUD now to cover this potential obligation.

So, you will need to buy A$2,200,000 from the counterparty.

This problem has been solved

Solution 2

To calculate the amount of the delta-hedge, you need to multiply the face value of the option by the delta.

In this case, the face value is A5millionandthedeltais0.44(44deltameanstheoptionspricemoves5 million and the delta is 0.44 (44 delta means the option's price moves 0.44 for each dollar movement in the underlying asset).

So, the calculation is as follows:

5,000,000 AUD * 0.44 = 2,200,000 AUD

Since you are the seller of AUD calls, you would need to buy AUD to hedge your position. Therefore, you would need to buy A$2,200,000 from the counterparty.

This problem has been solved

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