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5.12. Suppose that the risk-free interest rate is 10% per annum with continuous compounding and that the dividend yield on a stock index is 4%

5.12. Suppose that the risk-free interest rate is 10% per annum with continuous compounding and that the dividend yield on a stock index is 4% per annum. The index is standing at 400, and the futures price for a contract deliverable in four months is 405. What arbitrage opportunities does this create?

  • Actual Price = 405
  • Arbitrage Strategy: Long future contract and short shares underlying the index

Action

Cash Flow t

Cash Flow T

Short 1 Share of the Stock

Long forward contract to buy one share in 6 months for $408.08

Invest $405 at 10% rate for 4 months

Total

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