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In country Macroland, the government borrows at 5% for 1-year maturity. However, the Central Bank has announced interest rate hikes for the following years,

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In country Macroland, the government borrows at 5% for 1-year maturity. However, the Central Bank has announced interest rate hikes for the following years, so people expect that the next year the same 1-year bond will pay 7% and that the interest will rise again to 8% in the year after. Compute and draw the yields curve (for 1, 2 and 3 years bonds) of the government of wwwwwwwwwwwwww Macroland, assuming that there is no risk of default and no inflation and the Central Bank announcements are credible.

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