Question 2 You are given an excerpt of a 1-year select and ultimate mortality model: [x] lx+1 x +1 49 89,938 50 50 88,948 51 51 88,426 87,957 52 52 87,435 86,965 53 53 86,441 85,970 54 54 85,444 84,971 55 55 84 ,443 83,967 56 56 83 ,435 82,956 57 57 82,419 81,937 58 58 81,394 80,906 59 59 80,357 79,864 60 The select mortality is defined as follows: q[x] = 0.95(1 - (Px)0.5) Find lives at select age [50] [50] (2 pts): Using an interest rate of 5%, select mortality defined above and A51 = 0.28713. Using recursion, find the actuarial value of a whole-life insurance for [50] and for (50) A[50] (2 pts): A5o (2 pts): Using the above actuarial values and A60 = 0.35702, find the savings associated with a $100,000 10-year term life insurance on [50] instead of (50). Savings (4 pts): Please show your work below