$1)$Bond A and Bond B are each five$-$year $1000$ face amount bonds. In addition:

i$)$ Bond A has an annual coupon rate of $5\%$ paid semiannually.

ii$)$ Bond B has an annual coupon rate of $3\%$ paid annually.

iii$)$ The price of Bond B is $100$ less than the price of Bond A$.$

iv$)$ The annual effective yield rate for Bond A is $4\%.$

Calculate the annual effective yield rate for Bond B$.$