Consider $2$ securities with face value equal to $100.$

$$ One year pure discount bond selling at $$94\mathrm{.}20.$

$$ One two year $7\mathrm{.}34\%$ coupon bond selling at $$97\mathrm{.}27.$

What is the two year zero coupon rate R$(0,2)?$

Answer in percentage with $3$ decimal digits accuracy. Example: $8\mathrm{.}573.$

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