6. Suppose the S\&P 500 Index portfolio pays a dividend yield of $2 \%$ annually. The index currently is 2,000 . The T-bill rate is $3 \%$, and the S\&P futures price for delivery in one year is $\$ 2,030$. Construct an arbitrage strategy to exploit the mispricing and show that your profits one year hence will equal the mispricing in the futures market.

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