You are an options portfolio manager for AUD/USD. You have just traded a 37 delta risk-reversal with an fellow institutional portfolio manager whereby you are the seller of AUD puts. The face value is A$10 million Determine the amount of the delta-hedge that will be required with this counterparty. (Please round your response to the nearest whole A$ - 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 37 delta risk-reversal with an fellow institutional portfolio manager whereby you are the seller of AUD puts.
The face value is A$10 million
Determine the amount of the delta-hedge that will be required with this counterparty.
(Please round your response to the nearest whole A$ - being a positive number if you buy AUD from the counterparty, and a negative number if you sell to the counterparty)
Solution
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$10 million and the delta is 0.37 (or 37%).
So, the calculation would be:
10,000,000 AUD * 0.37 = 3,700,000 AUD
Since you are the seller of AUD puts, you are obligated to buy AUD if the option is exercised. Therefore, you would need to buy AUD to delta-hedge the position.
So, the amount of the delta-hedge required with this counterparty is A$3,700,000.
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