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The current value of the index is 585. Three-month futures on the index are trading at 600. The continuous dividend yield on the index is

The current value of the index is 585. Three-month futures on the index are trading at 600. The continuous dividend yield on the index is d= 3% and the continuously compounded riskless rate is also 3%.

  1. What is the fair futures price?
  2. Construct an arbitrage free strategy that exploits the situation.

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