Consider the following information regarding three bonds:

$--$ A $T-$year zero coupon bond with par value of $1000$ has a price of $480.$

$--$ A $T-$year, $1000-$par bond with semiannual coupons of $K$ has a price of $640.$

$--$ A $3$T$-$year, $1000-$par bond with semiannual coupons of $K$ has a price of $P.$

All three bonds have the same yield rate. Calculate $P.$

$407$

$384$

$396$

$402$

$390$