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Jill is interested in a $7-$year bond which pays a coupon of $9\mathrm{.}4$ percent annually and trades at a yield of $6\mathrm{.}4\%$ per annum. The face value is $$1,000.$ What is the current price of this bond? $($to the nearest cent$)$

a$.$ $$647\mathrm{.}75$

b$.$ $$1167\mathrm{.}15$

c$.$ $$1165\mathrm{.}12$

d$.$ $$851\mathrm{.}02$