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.
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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