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If 3-year spot rate is 4%, 5-year spot rate is 5%, the four-year rate, 3 years forward is 6%, and the 3-year rate, 7 years

If 3-year spot rate is 4%, 5-year spot rate is 5%, the four-year rate, 3 years forward is 6%, and the 3-year rate, 7 years forward is 7%. What is the implied 2-year rate, 5 years forward? Assume that the market is arbitrage-free.

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