A bond pays a semi$-$annual coupon. The coupon rate is $13\mathrm{.}5\%.$ The $PE{R}_2$ is $12\mathrm{.}5\%.$ The bond matures in three years. The face value is $$100,000.$ What is the bond price?

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$$173,690\mathrm{.}43$

$$73,690\mathrm{.}43$

$$76,690\mathrm{.}43$

$$75,690\mathrm{.}43$