A government creates a fund to pay this year's lottery winners. You are given: i. There are 100 winners each age 40 . ii. Each winner receives payments of 10 per year for life, payable annually, beginning immediately. iii. Mortality follows the Standard Ultimate Life Table. iv. The lifetimes are independent. v. i=0.05 vi. The amount of the fund is determined, using the normal approximation, such that the probability that the fund is sufficient to make all payments is 95%. Calculate the initial amount of the fund. 18,460 18,540 18,620 18,700 18,780