Answer:
The strategy the investor should follow is to short 26 contracts of September Mini S&P 500 futures.
Explanation:
Provided information;
Amount of shares of a certain stock =50,000
The market value per share = $30
Portfolio value= P = 50,000 × 30 = $1,500,000
Beta of stock β = 1.3
current Index futures price = 1,500
Multiplier = $50
Futures Value A = 1,500 × 50 = $75,000
The formula used in calculating the number of contracts =
Number of contracts N = (β × P) ÷ Future values
N = (1.3 × $1500000) ÷ $75000
N = $1950000 ÷ $75000
Number of contracts N = 26
The strategy the investor should follow is to short 26 contracts of September Mini S&P 500 futures.
