A liability consists of a series of 10 annual payments of 50,000 with the first payment to be made one year from now. The liability has the same present value and Macaulay duration as an asset portfolio consisting of a mixture of two-year and ten-year zero-coupon bonds. The annual effective interest rate used to value the assets and the liability.is 5.8%. Calculate the present value and the Macaulay duration of the liability, and also determine the amount invested in the two year zero-coupon bonds in the asset portfolio