An insurer has a portfolio of 1000 one-year term life insurance policies just issued to 1000...
An insurer has a portfolio of 1000 one-year term life insurance policies just issued to 1000 different (independent) individuals. Each policy will pay $1000 in the event that the policy holder dies within the year. For 500 of the policies, the probability of death is 0.01 per policyholder, and for the other 500 policies the probability of death is 0.02 per policyholder. Find the expected value and the standard deviation of the aggregate claim that the insurer will pay.
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An insurer has a portfolio of 1000 one-year term life insurance
policies just issued to 1000...
An insurer has 5 independent one-year term life insurance policies. The face amount on each policy...
An insurer has 5 independent one-year term life insurance policies. The face amount on each policy is 100,000. The probability of a claim occurring in the year for any given policy is 0.2. Find the probability the insurer will have to pay more than the total expected claim for the year.
An insurance company has issued 100 policies. The number of claims filed under each policy follows a Poisson distribution with a mean 2. Assuming that the claims filed by each policyholder are in...
An insurance company has issued 100 policies. The number of claims filed under each policy follows a Poisson distribution with a mean 2. Assuming that the claims filed by each policyholder are independent of each other, what is the approximate probability that more than 220 claims will be filed by the group of policyholders? B) 0.159 A) 0.079 C) 0.444 D) 0.556 E) 0.921 Question 2-20 An actuary is studying claim patterns in an insurer's book of business. He compiles...
Understanding universal life insurance Universal life insurance combines elements from term and whole life insurance. Term...
Understanding universal life insurance Universal life insurance combines elements from term and whole life insurance. Term policies provide a death benefit _______ savings component, whole life policies provide a death benefit _______ savings component, and universal policies provide a death benefit _______ savings component. To understand how universal premiums are allocated, consider the following example. Kathy is a 37-year-old lawyer who has taken out a universal life insurance policy to protect her two children (ages 8 and 6) in the...
Question 8 (10 points) A term life insurance policy will pay a beneficiary a certain sum...
Question 8 (10 points) A term life insurance policy will pay a beneficiary a certain sum of money upon the death of the policy holder. These policies have premiums that must be paid annually. Suppose a life insurance company sells a $230,000 one year term life insurance policy to a 49-year-old female for $527. According to the National Vital Statistics Report, Vol. 47, No. 28, the probability the female will survive the year is 0.99791. Compute the expected value of...
A portfolio of car insurance claims has claim amounts following the distribution 7 x 3307 f(x)(33...
A portfolio of car insurance claims has claim amounts following the distribution 7 x 3307 f(x)(330+x The number of claims from this portfolio has a Poisson distribution with a mean of 500 per year. The premium income from this portfolio is a total of £30 000 per year. The insurer has an initial surplus of £2000. (a) Find the security loading factor for this example. (b) By assuming that the aggregate claims distribution is approximately nomal what is the probability...
A life insurer has created a special one-year term policy for a couple that travels to...
A life insurer has created a special one-year term policy for a couple that travels to high-risk locations. The policy pays nothing if neither die during the year, 100000 if exactly one dies, and k if both die. You are told that the standard deviation for the payout is 74000. Find the expected value of the payout is 74000. Find the expected value of the payout for the year on this policy. (I dont know where to start, should I...
Life Insurance: Your company sells life insurance. You charge a 55 year old man $70 for...
Life Insurance: Your company sells life insurance. You charge a 55 year old man $70 for a one year, $100,000 policy. If he dies over the course of the next year you pay out $100,000. If he lives, you keep the $70. Based on historical data (relative frequency approximation) the average 55 year old man has a 0.9998 probability of living another year. (a) What is your expected profit on this policy? $ (b) What is an accurate interpretation of...
Susan is a 42-year-old lawyer who has taken out a universal life insurance policy to protect...
Susan is a 42-year-old lawyer who has taken out a universal life insurance policy to protect her two children (ages 13 and 10) in the event of her death. Each year, Susan chooses how much she would like to contribute to the policy, as shown by the first row of the table below. The insurance company subtracts from this an administrative fee along with the cost of the death benefit (the into the cash value (or pure insurance portion of...
Every year, an insurance company sells a $500 policy to 100,000customers. In case of death, the...
Every year, an insurance company sells a $500 policy to 100,000customers. In case of death, the company must pay $200,000 to a relative. Assumingthat the each person dies every year with probabilityp= 0.001 independently of othersanswer the following questions: a. What is the probability that the company makes a profit on any givenyear? Use the relevant approximation. b. The company goes bankrupt if the first year with losses or no profit isfollowed by another year of losses or no profit....
104 Life Insurance-Term and Other The main purpose of life insurance is to provide financial protection...
104 Life Insurance-Term and Other The main purpose of life insurance is to provide financial protection for your dependents in case of your death. You may purchase term life insurance, whole life insurance, limited payment life insurance, of endowment life insurance. ANNUAL PREMIUM - NUMBER OF UNITS PURCHASED X PREMIUM PER $1000 Use the tables below to answer the problems. ANNUAL PREMIUM PER $1000 OF LIFE INSURANCE: 5-YR TERM Age 18 20 25 30 35 45 55 65 Male $...
An insurance company has issued 100 policies. The number of claims filed under each policy follows a Poisson distribution with a mean 2. Assuming that the claims filed by each policyholder are independent of each other, what is the approximate probability that more than 220 claims will be filed by the group of policyholders? B) 0.159 A) 0.079 C) 0.444 D) 0.556 E) 0.921 Question 2-20 An actuary is studying claim patterns in an insurer's book of business. He compiles...
Understanding universal life insurance Universal life insurance combines elements from term and whole life insurance. Term policies provide a death benefit _______ savings component, whole life policies provide a death benefit _______ savings component, and universal policies provide a death benefit _______ savings component. To understand how universal premiums are allocated, consider the following example. Kathy is a 37-year-old lawyer who has taken out a universal life insurance policy to protect her two children (ages 8 and 6) in the...
Question 8 (10 points) A term life insurance policy will pay a beneficiary a certain sum of money upon the death of the policy holder. These policies have premiums that must be paid annually. Suppose a life insurance company sells a $230,000 one year term life insurance policy to a 49-year-old female for $527. According to the National Vital Statistics Report, Vol. 47, No. 28, the probability the female will survive the year is 0.99791. Compute the expected value of...
A portfolio of car insurance claims has claim amounts following the distribution 7 x 3307 f(x)(330+x The number of claims from this portfolio has a Poisson distribution with a mean of 500 per year. The premium income from this portfolio is a total of £30 000 per year. The insurer has an initial surplus of £2000. (a) Find the security loading factor for this example. (b) By assuming that the aggregate claims distribution is approximately nomal what is the probability...
Susan is a 42-year-old lawyer who has taken out a universal life insurance policy to protect her two children (ages 13 and 10) in the event of her death. Each year, Susan chooses how much she would like to contribute to the policy, as shown by the first row of the table below. The insurance company subtracts from this an administrative fee along with the cost of the death benefit (the into the cash value (or pure insurance portion of...
104 Life Insurance-Term and Other The main purpose of life insurance is to provide financial protection for your dependents in case of your death. You may purchase term life insurance, whole life insurance, limited payment life insurance, of endowment life insurance. ANNUAL PREMIUM - NUMBER OF UNITS PURCHASED X PREMIUM PER $1000 Use the tables below to answer the problems. ANNUAL PREMIUM PER $1000 OF LIFE INSURANCE: 5-YR TERM Age 18 20 25 30 35 45 55 65 Male $...
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