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2,000 pairs of independent lives each purchase 5-year term assurance contracts paying 15 immediately on death of the lives. The insurer charges the same single

2,000 pairs of independent lives each purchase 5-year term assurance contracts paying 15 immediately on death of the lives. The insurer charges the same single premium for each contract. Use a normal approximation to calculate the single premium required such that the probability that the insurer makes a loss on the entire portfolio of 2,000 contracts is 5%. The interest rate is 6% and the death probability is 0.06 for all ages.

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