Question $5(8$ points$)$

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Calculate answers to $6$ decimal places before converting to a percentage.

While reviewing your retirement fund portfolio, you note that the price for the US Treasury $5-$year notes, with a coupon rate of $61/2\%,$ has risen to $$96\mathrm{.}00$ per $$100$ face value. Based on this change in price, the yield to maturity is closest to:

A$)7\mathrm{.}4734\%.$

B$)3\mathrm{.}7442\%.$

C$)3\mathrm{.}7367\%.$