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Suppose that the risk free interest rate is 12% per annum with continuous compounding and a stock that pavs 1 dollar dividend in 3, 6

Suppose that the risk free interest rate is 12% per annum with continuous compounding and a stock that pavs 1 dollar dividend in 3, 6 and 9 months time. The current stock price is $40, and the futures price for a contract deliverable in 11 months is $45.

  1. What is the theoretical futures price?
  2. What arbitrage opportunities does this create (show arbitrage strategies with cash flows)

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