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How many 90-day Eurodollar futures contracts should a bank purchase to hedge the roll-over of year, $5 million loan if loan rates and Eurodollar rates have the same volatility

Respuesta :

The number of 90-day Eurodollar Futures Contracts that the bank should purchase to roll-over if the rates have the same volatility is 20 contracts.

How many Eurodollar futures contracts should the bank purchase?

This can be found by the formula:

= (Loan amount x Period per year of loan ) / (Face value of futures contract x Period per year of futures contracts) x 1 because volatility is same

Solving gives:

= (5 million x 1) / (1 million x 3 / 12 months) x 1

= 5 million / 250,000 x 1

= 20 contracts

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