A bond that is priced at $$1,037\mathrm{.}50$ has an annual modified duration of $6\mathrm{.}834$ and annual convexity of $178\mathrm{.}349.$ If the bond's yield to maturity decreases by $50$ basis points, the bond's new price is expected to be:

$$1,075$

$$1,071$

$$1,067$

$$1,079$

$$1,060$