Berkshire Hathaway Inc. offers a bond with a coupon of $16$ percent with semiannual payments and a yield to maturity of $12\mathrm{.}78$ percent. The bonds mature in $14$ years. What is the market price of a $$1,000$ face value bond?

$$1,146\mathrm{.}10$

$$638\mathrm{.}87$

$$1,207\mathrm{.}48$

$$823\mathrm{.}95$

$$1,205\mathrm{.}17$