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Tony Stark manages an equity portfolio valued at 250,000,000 USD which has a beta of -0.4. Given his forecast for the overall market, Tony seeks

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Tony Stark manages an equity portfolio valued at 250,000,000 USD which has a beta of -0.4. Given his forecast for the overall market, Tony seeks to change its beta to -0.6 from September 25th, 2021 to November 25th, 2021. Tony is going to use December S&P500 index futures contracts maturing on December 25th, 2021 to achieve this objective. As the analyst assisting the fund manager, you are given the following information: S&P500 spot index as on September 25, 2021 = 4,520 The dividend yield on the S&P500 index = 1.05% per annum (continuously compounded) The US risk-free rate = 2.35% per annum (continuously compounded) Each futures contract is on $250 times the index Correlation between the S&P500 spot returns and S&P500 futures returns = 1 S&P500 futures return standard deviation = 1.00 S&P500 spot return standard deviation = 1.00 . What should you recommend Tony Stark to do in order to achieve his objective stated above (round number of contracts to the nearest integer)? Tony should short 44 December contracts. Tony should short 88 December contracts. Tony should long 88 December contracts. Tony should long 44 December contracts. None of the other strategies is appropriate

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