A $10\%$ coupon $$1,000$ par value bond with four years to maturity is currently selling for $$900.$ The bond pays coupon payments on a semiannual basis. If interest rates move in the corporation's favor, the bond will be called for $$1,050.$

What is the price of the bond if interest rates fall by $0\mathrm{.}5\%$ semiannually?

$$1,050\mathrm{.}00$

$$929\mathrm{.}10$

$$872\mathrm{.}24$

$$803\mathrm{.}65$