Alice deposits 20 into a fund and 40 fifteen years later. Interest is credited at an annual effective rate of discount, d, for the first 10 years, and at an annual rate of interest of 6%, thereafter. The accumulated balance in the fund at the end of 30 years is 200. Calculate d. 100,000 is invested in fund A at an annual effective rate of interest, i. After eight years, it accumulates to 214,358.88. 100,000 is invested in fund B at annual effective rate of discount, d. After eight years, it accumu- lates to 232,305.738. 100,000 is invested in fund C at an annual effective rate of interest equal to in year one and an annual effective rate of discount equal to in year two. Calculate the value in fund C at the end of two years. An investment of Z is made into fund X which pays an effective rate of discount of 9% for 15 years. At the same time, an investment of 2Z is made into fund Y which pays an effective rate of interest of i for 15 years. The amount of interest earned over the 15 years are equal for both funds. Calculate i. You are given: (a) The sum of the present values of a payment of A at the end of 15 years and a payment of B at the end of 25 years is equal to the present value of a payment of A+B at the end of 20 years. (b) A + B = 150 (c) i = 6% Calculate B