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Explanation:
The portfolio manager wants to increase exposure to systematic risk, so he will want to buy S&P index futures. Buying futures will increase the current beta to his target of 1.25.
number of contracts = (target beta − current beta) × (portfolio value / futures value)
number of contracts = [1.25 − (−0.30)] × [$225 million / (5,400 × 250)]
number of contracts = (1.55) × (166.67)
number of contracts = 258
(Book 3, Module 34.2, LO 34.g)
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Question 13
A portfolio manager for the Matrix Tactical Growth Fund, a mutual fund with total assets of $225 million. The mandate of the mutual fund is to make active tactical shifts in long and short exposure based on current views of stock market action. Recently, the manager has been cautious on stocks and has positioned the fund with a beta of –0.30; however, the most recent jobless claims were more positive than he expected, and he expects the stock market to rally strongly when the monthly non-farm payroll data is released. The manager would like to take advantage of this market rally using S&P 500 index futures and increase the fund's beta to 1.25. Currently, S&P 500 futures are trading at 5,400 and the multiplier is 250. How can the portfolio manager achieve his objective for his fund?
A
Sell 135 contracts.
B
Buy 155 contracts.
C
Buy 188 contracts.
D
Buy 258 contracts.