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)	0.01066	0.01402	0.01663	0.01978	0.02377

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.)


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.)
$  

(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 $  
year 62 $  
year 63 $  
year 64 $  

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.)
$  

(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.)
$  

(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.)
$

Answer 1

(a)

What is the probability that Jim will die in his 60th year? (Enter a number. Enter your answer to five decimal places.)

0.01066

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.)

$50,000*0.01066 = 533

(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 $ 701
year 62 $ 831.5
year 63 $ 989
year 64 $ 1188.5

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.)
$ 4243

(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.)
$ 700+ 4243 = 4943

(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.)
$ 5000 - 4243 = 757