Question 1 So (t) = 1 - +2 7,744 fort = 0 to 88 Show that the above function satisfies the necessary and sufficient conditions of a survival model (5 pts): 1. S.(0 = 190 2744=1 True. 2. lim( 1- #)= 0 for too to 88 2. Soft) is non-increasing function of t. & IF So CH - =+ co for oct 2 8 % 3872 What is the limiting age, w, of this survival model? w (1 pt) : Using the survival function above, find the probability that (65) survives 10 years. 10P65 (2 pts): Using the survival function above, an interest rate of 5% and a75 of 5.9521; find the value of a 10-year deferred whole life annuity-due paying 50,000 per year for (65). 50,000 10| 265 (2 pts): Please show your work below, 20 fo So(0)= 1 50(0)= 1- 7,744 = 1 True 3872 ( im SxCt)= 0 lim + 2 = 0for += 0to 88 7,744