Can you show your work? Thank you.

2. Suppose there are two bonds, a 30-year zero coupon bond and a 2-year zero coupon bond. Currently, the discount rate, y, is 4%. Suppose we are short $1000 in par value of the 30-year zero coupon bond. How much of the 2-year zero coupon bond do we need to buy to be approximately immunized from changes in interest rates