A company must pay liabilities of $1,000$ at the end of $1$ year and $3,500$ at the end of $2$ years. The only investments available are $1-$year Zero$-$caupon bond and $2-$year annual coupon bonds with Coupon rate $4\%$ matuling at Par. How much of $1-$year zero coupon bond $($in terms of redemption value$)$ should the company buy in order to exactly match the assets and liabilities?