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Assume today is 12/31/2022 and you observe this yield curve. Maturity Spot 1 3.75% 2 3.88% 3 3.95% 4 4.00% 5 4.13% 6 4.50% Replicate

Assume today is 12/31/2022 and you observe this yield curve.

Maturity Spot
1 3.75%
2 3.88%
3 3.95%
4 4.00%
5 4.13%
6 4.50%

Replicate the 6-year bond with 2 3-year bonds. In other words, instead of buying the 6-year bond earning 4.5% interest, I want to buy one 3-year bond paying 3.95% interest and another 3-year bond. What would be the rate for that 3-year bond starting 3 years from now? You need to calculate the Forward rate F3x6

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