A three-year, 4 percent government bond is trading at $1,001. The spot yield curve indicates that the

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A three-year, 4 percent government bond is trading at $1,001. The spot yield curve indicates that the 1-year spot rate is 2 percent, the 2-year spot rate is 3 percent, and the 3-year spot rate is 4 percent. Is there an arbitrage opportunity, that is, is it possible to earn a riskless profit by constructing a portfolio with no net investment (assume all transaction costs are zero)? Describe this portfolio.

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