Suppose that the risk-free interest rate is 6% per annum with continuous compounding and the dividend yield on a stock index is 4% per annum. The index is standing at 400 and the futures price for a contract (on that index) deliverable in 9 months is 405. What arbitrage opportunity does this create?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter20: Financing With Derivatives
Section20.A: The Black-scholes Option Pricing Model
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Suppose that the risk-free interest rate is 6% per annum with continuous compounding and the dividend yield on a stock index is 4% per annum. The index is standing at 400 and the futures price for a contract (on that index) deliverable in 9 months is 405. What arbitrage opportunity does this create?
• Borrow to buy shares underlying the index and enter a short position in index futures contracts
• Enter a long position in index futures contracts, short sell shares underlying the index and invest excess funds
• Borrow to buy shares underlying the index and enter a long position in index futures contracts
• Enter a short position in index futures contracts, short sell shares underlying the index and invest excess funds
• No arbitrage opportunity 
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