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19) Determine the optimal hedge ratio for Treasury bonds worth $3,000,000 with a modified duration of 12.45, yielding 11.9 percent if the futures has a

19) Determine the optimal hedge ratio for Treasury bonds worth $3,000,000 with a modified duration of 12.45, yielding 11.9 percent if the futures has a price of $90,000, and modified duration of 8.5 years ?

a.

SELL 49 CONTRACTS

b.

BUY 48 CONTRACTS

c.

BUY 49 CONTRACTS

d.

SELL 46 CONTRACTS

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