Bond A and Bond B both have a par value of $1000$ and are both redeemable at par. Both bonds pay

semiannual coupons with a coupon rate of $10\%$ and are priced to yield $4\%$ convertible semiannually.

Bond A matures in $N$ years and Bond B matures in $2N$ years. The price of Bond B is $85$ greater than

the price of Bond A$.$ Determine the price of Bond A to the nearest dollar.