For this problem at age (x): The force of interest is constant at δ = 0.05. The force of mortality μx+t = 0.02 for 0 ≤ t ≤ 10. On January 1, 2012, you (exact age x = 40) enter into a 10-year endowment of $100,000 with an insurance company. The death benefit is paid immediate upon death. a. Find the survival function tp40 for 0 ≤ t ≤ 10. b. Calculate the probability that a life aged 40 survives to age 50. c. Calculate ̊e40:10 , the 10-year temporary expectation of life of (40). d. Calculate the net single premium for this contract.

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