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6. A life aged 50 purchases a 20-year term insurance with $100,000 sum insured. Premiums are payable annually in advance and death benefits are payable at the end of the year of death. Assume that (i) commission is 12% of the first premium and 4% of each subsequent premium, (ii) other expenses are $100 at issue, $10 at each subsequent premium date, and $200 when the sum insured is paid, (iii) mortality follows the Standard Ultimate Life Table, and {iv} interest is 5% per year. Calculate the annual premium