1-year Treasury-bill rates are expected to steadily increase by 1.5 percentage per year over the next 6 years. Determine the required interest rate on a 3-year Treasury -bond and a 6-year Treasury-bond if the current 1-year interest rate is 7.5%. Assume that the Pure Expectations Hypothesis for interest rates holds.

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Treasury Market

On-the-run securities are the most recently issued securities in the market depth and are therefore traded at some premium. The off-the-run securities are the ones issued just before the most recent ones. The on-the-run securities have a lower yield to the investor than the off-the-run securities.