A $$1000$ face value, $10\%$ bond $($interest payable semiannually$)$ has $20$ years remaining until maturity $($at which time it will be redeemed at face value$).$ The rate of return required by the market on this type of bond is $8\%$ compounded semiannually.

What would be the new price of the bond if the required return abruptly rises to $10\%?$

Multiple Choice

$$1000\mathrm{.}00$

$$828\mathrm{.}41$

$$1197\mathrm{.}93$Incorrect

$$923\mathrm{.}60$

$$1135\mathrm{.}90$