What is the yield to maturity on a $12-$year, zero coupon bond selling for $47\mathrm{.}5\%$ of face?

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a $5\mathrm{.}60\%$

b $6\mathrm{.}40\%$

c $6\mathrm{.}76\%$

d $12\mathrm{.}0\%$

e $,47\mathrm{.}5\%$