A company has a $36 million portfolio with a beta of 1.2. The futures price for a contract on an index is 900. Futures contracts on $250 times the index can be traded. What trade is necessary to reduce beta to 0.9? A. Short 48 contracts B. Long 192 contracts C. Long 48 contracts D. Short 192 contracts
Question
A company has a 250 times the index can be traded. What trade is necessary to reduce beta to 0.9?
A. Short 48 contracts
B. Long 192 contracts
C. Long 48 contracts
D. Short 192 contracts
Solution
The correct answer is:
A. Short 48 contracts
Here's the reasoning behind this choice:
The company wants to reduce the beta of its portfolio from 1.2 to 0.9. The change in beta required is 1.2 - 0.9 = 0.3.
The value of the portfolio is 36 million = $10.8 million.
Each futures contract is on 250 = $225,000.
The number of contracts required to achieve the change in value is 225,000 = 48 contracts.
Since the company wants to reduce its beta, it needs to short the contracts. Therefore, the company needs to short 48 contracts.
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