30. You plan to purchase a home in x years. The goal is to have $50,000 as a down payment. In order to meet that goal, you invest in two zero coupon bonds. One zero coupon bond for face amount A matures in x-t years. A second zero coupon bond for face amount B matures in x+t years. You choose amount A and B such that the ability to make the $50,000 down payment in xi years is immunized from changes in interest rates. Assume the force of interest is 6. Which of the following is a correct definition for A that meets the requirements for full immunization? A A = 25,000e -18 B A = 25,000e18 A = 25,000 D A is a function of B E None of the above are correct definitions for A Question 31 During the first four years, interest is credited using a simple interest rate of 5 per year. After four years, interest is credited at a force of interest 6 12024 The following are numerically equal: 7; and 1. the current value at time? 4 of payments of 1,000 at time=2 and 400 at time! 2. the present value at time I = 0 of a payment of Xat time I = 10 Calculate X