Problem 3 (Required, 20 marks) The money grows at the annual effective interest rate is i (i > 0) and compound interest is assumed. It is given that The present value (at time 0) of n-year annuity-due that pays 3X at the beginning of every year for n years is $1314. The first payment is made today. The present value (at time 0) of 3n-year annuity-due that pays X at the beginning of every year for 3n years is $923.06. The first payment is made today (a) Find the value of (1 + i)-". (b) Hence, find the present value of annuity-due that pays 2x at the beginning of every year for 2n years and the first payment is made at the beginning of (n + 1)th year. (Hint: Focus on your target and use the given condition wisely. There is no need to find the values of all unknowns.)