The pure rate of return is $1\mathrm{.}5\%.$ Inflation is expected to be $2\%$ this year and $3\%$ during the next two years. Assume that the maturity risk premium for $2$ and $3$ years security are $1\mathrm{.}2\%$ and $1\mathrm{.}3\%$ respectively. What is the yield on $2$ year Treasury Securities?

Group of answer choices

$5\mathrm{.}47\%$

$5\mathrm{.}20\%$

$5\mathrm{.}37\%$

$5\mathrm{.}30\%$

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