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Calculate the minimum premium an insurance company should charge for a $5 million three year trm life insurance contract issued to a man aged 60.

Calculate the minimum premium an insurance company should charge for a $5 million three year trm life insurance contract issued to a man aged 60. Assume that the premium is paid at the beginning of each year and death always takes place halfway through a year. the risk-free interest rate is 6% per annum (whith semiannual compounding).

Age Prob of death within year 1 Survival Prob
60 .011046 .85673
61 .011835 .84726
62 .012728 .83724
63 .013743 .82658

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