Question

Jim is a 60-year-old Anglo male in reasonably good health. He wants to take out a $50,000 term (i.e., straight death benefit) life insurance policy until he is 65. The policy will expire on his 65th birthday. The probability of death in a given year is provided. x = age 60 61 62 63 64 P(death at this age) 0.01180 0.01438 0.01780 0.01909 0.02209 Jim is applying to Big Rock Insurance Company for his term insurance policy. (a) What is the probability that Jim will die in his 60th year? (Enter a number. Enter your answer to five decimal places.) 0.1191 x Using this probability and the $50,000 death benefit, what is the expected cost to Big Rock Insurance (in dollars)? (Enter a number. Round your answer to two decimal places.) $ 595.50 x (b) What is the expected cost to Big Rock Insurance for years 61, 62, 63, and 64 (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.) year 61 $ 646 X year 62 $ 698 X year 63 $ 751.50 X year 64 $ 806.50 X What would be the total expected cost to Big Rock Insurance over the years 60 through 64 (in dollars)? (Enter a number. Round your answer to two decimal places.) $ 3497.50 X (c) If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Jim's death, how much should it charge for the policy (in dollars)? (Enter a number. Round your answer to two decimal places.) $ 4197.50 X (d) If Big Rock Insurance Company charges $5000 for the policy, how much profit does the company expect to make (in dollars)? (Enter a number. Round your answer to two decimal places.) $ 1502.50 x

Answer 1

The proabilities are already mentioned in the table provided. So we multiply 50000 with the probability value for the particular year and get the expected cost to big rock insurance for that year.

60 61 62 63 64 x=age 0 -0908 0 1 0. b)4 380.0 + go P (death at 0.01909 0.02209 this age) that Jim will die in his 60th year (a) probability = 0.01180 (from the table given) Expected cost to Big Rock Insurance for 60th year. 0.01)80 50,9 000 $ 590.00 Expected for Year Gl cost to Big Rock Insurance 0.01438 X 50000 $ 719.00 = $ 890.00 for Year 62 s 0.01780 X50000 for Year 63 90.01909 x 50000 = for Year 64 -0.02209 x 50000 $ 954.50 $ 1104.50 Total Expected cost to Big Rock Insurance over years 64 = 590+719+890 + 954.5+ 1104.5 $4258.00 Go through 4258.00 + 700 $ 4958.00 (d) 5ovo 4258.00 $742.00