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A fund manager has a portfolio worth $50 million with a beta of 1.35. The manage

ID: 2696975 • Letter: A

Question

A fund manager has a portfolio worth $50 million with a beta of 1.35. The manager is concerned about the performance of the market over the next three months and plans to use four-month Mini S&P 500 futures contract to hedge the risk. The current level of the index is 1,560, the risk-free rate is 0.60% per annum, and the dividend yield on the index is 1.7% per annum. The current four-month futures price is 1,555. One futures contract covers $50 times the index.

Solution:

Number of contracts to hedge = 1.35*$50000000/1560/250=173.07

Thus, rounding to the nearest whole number, the investor should short 173 contracts to eliminate exposure to the market.

Explanation / Answer

Expected return = risk free rate - beta (Market rate - riskfree rate)
good luck!

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