A patient believes that they face two possible states of health in the coming year, poor health with a probability of 20%, in which the anticipated yearly costs will be $10,000. There’s the state of good health, with a probability of 80% which will cost them $5,000. Let’s say the insurance policy offered to this patient costs $7,500 for the year. Is this policy actuarially fair? Why or why not? What is the policy’s loading factor?
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A patient believes that they face two possible states of health in the coming year, poor health with a probability of 20%, in which the anticipated yearly costs will be $10,000. There’s the state of good health, with a probability of 80% which will cost them $5,000. Let’s say the insurance policy offered to this patient costs $7,500 for the year. Is this policy actuarially fair? Why or why not? What is the policy’s loading factor?
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- Consider the following scenario: Bill has an income of $50,000 and has a probability of remaining healthy of 70%. If he is not healthy, Bill has the following projected medical costs that would be paid 100% by insurance: Medications = $400 Medical Office Visits = $1,600 What is the actuarially fair premium Bill should pay?Suppose in a given state's new insurance marketplace, with community rating and no restrictions on who can buy at the community rate, the risk pool (distribution of expected health costs) is as follows: 20% of eligible enrollees' expected health costs = $1,000 (per year) 50% of eligible enrollees' expected health costs = $2,000 10% of eligible enrollees' expected health costs = $3,000 20% of eligible enrollees' expected health costs = $6,000 What would the community premium rate for this risk pool be if we also assume 10% loading costs for the insurer to cover its admin costs.Suppose a company offers a standard insurance contract with a premium (r) of $1,000 and a payout (q) of $10,000. Suppose that Eleanor earns a healthy state income of $30,000, a sick state income of $20,000, and has a 5% chance of becoming ill. From this information, you can determine that the expected profit for the insurance company is likely: O positive O equal to zero O negative
- A 40 year old man in the United States has a 0.199% risk of dying during the next year. An insurance company charges a premium of $429 pays a $166,010 death benefit. What is the expected gain or loss to the man when for a life-insurance policy that purchasing the insurance policy? Hint: Calculate the expected loss of the premium if the man survives (always a negative value), then subtract the premium from the death benefit and calculate the expected gain to the beneficiarles if the man dies (always a positive value), and then add these two numbers to find the net result. A negative net result should be entered as a negative value In the box below. Note: Please avold rounding numbers in the middle of your calculations. However, round your final answer to two decimal places, before entering it in the box below. A negative final answer indicates an expected loss for purchasing the policy.Find the expected net profit of an insurance company on a life-insurance policy whose death benefit is $1,000,000 if the annual premium for the policy is $2000 and the chance of the customer dying within the next year is 0.002. Interpret. (show work)How much money will a patient using this insurance plan have to pay for a $4200 medical bill?
- You decide to go into the earthquake insurance business. You offer to pay $250,000 to any insured person who experiences a "substantial" loss. If the probability anyone suffers "substantial" loss from a quake in any year is 0.4%, what annual premium should you charge so that your expected annual profit is $500 per policy?If you were to create your own health insurance, what would you include to help your customers but will not bankrupt you? Explain. Write 200 words or more.When you retire, a key goal is to be able replace about 80% of your pre-retirement income level. Social Security will cover a higher percentage of low earners’ needed replacement income than high earners’ replacement income. True or False
- Cindy Schultz was recently hired at Bradonly Health Care. Cindy is in her 30s and in great health. She wants a flexible insurance plan and a tax-free savings plan. Which of the following would be the best option for Cindy? a. HDHP b. PPO c. Medicaid d. HMOImagine that you can divide 50-year-old men into two groups: those who have a family history of cancer and those who do not. For the purposes of this example, say that 20% of a group of 1,000 men have a family history of cancer, and these men have one chance in 50 of dying in the next year, while the other 80% of men have one chance in 200 of dying in the next year. The insurance company is selling a policy that will pay $100,000 to the estate of anyone who dies in the next year. a. If the insurance company were selling life insurance separately to each group, what would be the actuarially fair premium for each group? b. If an insurance company were offering life insurance to the entire group, but could not find out about family cancer histories, what would be the actuarially fair premium for the group as a whole? c. What will happen to the insurance company if it tries to charge the actuarially fair premium to the group as a whole rather than to each group separately?Break-A-Leg Insurance Company sells a $500,000 insurance policy to thespians for self-inflicted lower-body extremity injury. The premium for the policy is $150 per year. If the probability that an actor actually breaks their leg and is paid $500,000 is 0.0001, compute the expected value the insurance company should expect to receive per policy sold. The insurance company should expect to receive how much money?