2. An investor has liabilities of $3m and $4m due at times t4 and 5, respectively. He currently holds assets X and Y. If each unit of X produces an income of $Im att = 4 and each unit of Y produces $1m att 8, construct a portfolio consisting of the liabilities and amounts of X and Y that is immune to small changes in interest rate at i 4% per annum. 2. An investor has liabilities of $3m and $4m due at times t4 and 5, respectively. He currently holds assets X and Y. If each unit of X produces an income of $Im att = 4 and each unit of Y produces $1m att 8, construct a portfolio consisting of the liabilities and amounts of X and Y that is immune to small changes in interest rate at i 4% per annum