Last year, Avalanche Auto Sales issued $20-$year bonds with an $4\%$ coupon and semiannual interest payments. What is the market price of a $$1,000$ bond if the yield to maturity is $3\mathrm{.}8\%?$

Multiple Choice:

$$1,028\mathrm{.}05$

$$972\mathrm{.}64$

$$1,027\mathrm{.}84$

$$1,027\mathrm{.}67$

$$1,584\mathrm{.}67$