A bank’s position in OTC options on the dollar-euro exchange rate with a current Delta of -400 and a current Vega of 771. The exchange rate (dollars per euro) is 1.16 and the volatility of the exchange rate is 23.8% per annum. If the volatility of the exchange rate was to suddenly change to 27.4% per annum, what would be your best estimate of the change in the value of the bank’s position in OTC options? Your answer should be a number without any currency sign and if the change is a decrease then there should be negative sign at the front (i.e., if the value goes up by $100 you should write 100, but if it goes down by $100 you should write -100).

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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A bank’s position in OTC options on the dollar-euro exchange rate with a current Delta of -400 and a current Vega of 771. The exchange rate (dollars per euro) is 1.16 and the volatility of the exchange rate is 23.8% per annum. If the volatility of the exchange rate was to suddenly change to 27.4% per annum, what would be your best estimate of the change in the value of the bank’s position in OTC options? Your answer should be a number without any currency sign and if the change is a decrease then there should be negative sign at the front (i.e., if the value goes up by $100 you should write 100, but if it goes down by $100 you should write -100).

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