I need both exercises, please

1. At an annual effective interest rate of i > 0%, the present value of a perpetuity that pays 10 at the end of each 3-year period, with the first payment at the end of year 3, is 32. At the same rate Annual effective i, the present value of a perpetuity that pays 1 at the end of each 4-month period, with the first payment at the end of the 4 months, is X Calculate X. 2. Alberto must pay liabilities of 1,000 within one year and others of 2,000 payable within three years. There are two investments available: Bond I: a one-year zero coupon bond maturing 1,000. The rate of return is 6% per annum. Bond II: A two-year zero coupon bond with a face amount of 1,000. The rate of return is 7% per annum. Currently, the one-year forward rate for an investment two years from today is 6.5%. Alberto plans to buy amounts of each bond. He plans to reinvest the proceeds from Bond II in a one-year zero coupon bond. Assuming that the reinvestment accrues the forward rate, calculate the total purchase price of Bond I and Bond II where the amounts are selected to exactly match the liabilities