Assume that an investor wishes to purchase a $20-$year bond with a maturity value of $$1,000$ and the coupon payments is $7\%$ of maturity value. The interest is paid semiannually. If the investor requires a $9$ percent simple yield to maturity on this investment, what is the maximum price she should be willing to pay for the bond? $($Round the answer to the nearest whole number.$)$

$$816$

$$674$

$$619$

$$743$

$$902$