A $10-$year bond has a face value of $$1,000$ with a $5\%$ per annum coupon rate. The bond pays coupons semi$-$annually. The current yield to maturity of the bond is $4\%$ per annum. After $5$ years, the yield to maturity of the bond is predicted to increase to $6\%$ per annum, what would be the value of the bond in Year $5?$