You gather the following information.

Real risk free rate is $-2\mathrm{.}3\%.$

Expected inflation over the next $5$ years is $7\%,6\mathrm{.}5\%,5\mathrm{.}5\%,4\%,2\mathrm{.}5\%.$

The default risk premium for risky bonds is $0\mathrm{.}70\%.$

The liquidity risk premium is $0\mathrm{.}35\%.$

The maturity risk premium is equal to: ${0\mathrm{.}125}^{**}(t-1)\%$

What is the nominal yield for a $5yr$ Treasury bond?