Bond $x$ is a $20-$year bond with annual coupons and the following characteristics:

i$)$ Par value is $1000.$

ii$)$ The annual coupon rate is $10\%.$

iii$)$ Bond $x$ is callable at par on any of the last five coupon dates.

Calculate the maximum purchase price for Bond $x$ that will guarantee an annual effective yield rate of at least $5\%.$

$($A$)1519$

$($B$)1542$

$($C$)1570$

$($D$)1596$

$($E$)1623$