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The probabilities of a man aged 60, 61, and 62 dying in the next year are 0.011447, 0.012352, and 0.013248, respectively. Calculate the minimum premium

The probabilities of a man aged 60, 61, and 62 dying in the next year are 0.011447, 0.012352, and 0.013248, respectively. Calculate the minimum premium an insurance company should charge for a $5 million 3-year term life insurance contract issued to a man aged 60. Assume that the premium is paid at the beginning of the year and that death always takes place half way through a year. The risk-free interest rate is 6% per year (with semi-annual compounding).

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