Q3. Suppose an insurance company oers a standard insurance contract to all customers with a premium r = $200 and payout q = $1000. Then consider the following situations: i. Individual A has healthy state income IH = $1000 and sick state income IS = $0. His probability of illness p Does he face a fair and/or full contract? ii. 0.1. Individual B has healthy state income IH = $1000 and sick state income IS = $0. His probability of illness p = 0.2. Does he face a fair and/or full contract? %| %3D
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- N owns a Disability Income policy that will cover him to age 65, allhough the insurance company has the right to change the premium rate for the overall risk class to which N is assigned Which of he following types of renewability best describes this situation? A. Noncancellable B. Cancellable C. Guaranteed Renewable D. Optionally Renewable2. The following situation arises in various situations such as when you are a homeowner. Suppose you face a random loss L in the coming year. You can purchase insurance against the loss L; the premium is double what the insurance company expects to pay out. (This price is in the ballpark of what reputable insurance companies charge. When you're offered an extended warranty or similar product, e.g., when purchasing an electronic device, the premium can be worse; e.g., 15 or 20 times your expected loss.) Let's assume that your loss L will be $1000 with probability 1/10, $100,000 with probability one in ten thousand, and $1,000,000 with probability one in a million; otherwise, your loss is 0. (a) If you purchase full coverage against the loss L, what is your premium? (b) Usually, the expensive part of insurance is insuring against small losses, and I've selected the p.m.f. of L to reflect this behavior. Assume that a loss of $5,000 would be painful to you and much more than $5,000 would…Rainie owns a $200,000 house and has a 5% chance of experiencing a fire in any given year. Assume that only one fire per year can occur and that if a fire occurs, the house is completely destroyed. 1. Suppose that Rainie purchases a full insurance contract from Lemonade Insurance Company for an actuarially fair premium. This contract would pay all losses due to the fire. Assume that Rainie's contract is the only insurance contract Lemonade Insurance Company sold. What is the probability distribution of total losses for Lemonade Insurance Company if they sell a contract to Rainie? a. b. What is the actuarially fair premium [AFP] Lemonade Insurance Company will charge Rainie in the coming year? Show your work What is the amount of risk Lemonade Insurance Company faces if they have Rainie as their only customer? Show your work с.
- 3. What would be the yearly premium for a $50,000 insurance policy against accidental household flood if the likelihood of an accidental household flood is estimated to be 0.005 and the company wishes to have a yearly expected gain of $2000? a. $2, 250. b. $2,550. c. $2,500. d. $2,520. 4. A manufacturer of electronic equipment buys spare parts for replacement and repairs in lots of one-thousand from the supplier. The manufacturer uses these spare parts to fix items under warrantee. Past historical records show that the probability of any one spare part being defective is unlikely and assumed to be one in one-thousand. In a shipment of one-thousand spare parts the probability of two defectives is a. 0.148. b. 0.184. c. 0.366. d. 0.386. 5. What is the probability of getting exactly three heads in five flips of a balance coin? a. 5/16 b. 3/16 c. 7/16 d. 9/16A $150 eReader comes with a warranty from an electronics business that covers theft (T) and accidental damage (AD) . Due to the high expense of repairing an eReader, it is more cost-effective for the business to provide the customer a complete refund to go toward another one. There is a 5.1% possibility that an AD (Accidenal Claim) claim will be made in any given year. Assume there can only be one claim made (not one of each type).Customers who report an eReader as stolen will get a reimbursement for 80% of the item's full price. A Theft (T) claim is likely to be submitted 3.5% of the time in any given year.What is the anticipated financial benefit or loss for the firm on each contract if the warrantee costs $15.95 for a year?(NOTE: Keep in mind that regardless of whether a claim is made, the consumer will pay for the warranty upfront.)Copy of Lessor nihq.com/web/viewer.html?state=D%7B"ids"%3A%5B"15kf39g-5S7VTg6CmniFQyXQIq2v_07kL"%5D%2C"action"%3 Equilibrium quiz 3 E You've already resp..E Tylon Clark- Algebr.E Copy of Tylon Clark... M escribing Tylon Clark - Copy of Lesson 4 - Problem Set.docx Which statement best describes the effects on the graph of f(x) = 2 when f(x) is replaced by -2f(x +3)-5? A The graph is reflected over the y-axis, vertically compressed by a scale factor of horizontally translated 3 units to the left, and vertically translated 5 units down. The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the left, and vertically translated 5 units down. The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the right, and vertically translated 5 units down. D The graph is reflected over they-axis, vertically compressed by a scale factor of 5, horizontally translated 3 units…
- 1. Suppose an electronics store offers an extended warranty on a cell phone that covers screenrepair and camera repair and will cost $9.99 per month. Suppose there is a 14% chance ofneeding a screen repair in the next year and an 11% chance of needing a camera repair.Suppose a screen repair will cost the store $155 and a camera repair will cost the store $79.How much annual profit does the store expect for each warranty purchased? 2. Suppose there is a probability of 4/5 that you will get an A on any given exam. Create atable giving the probability distribution for the number of A’s that you could get if you taketwo exams.Suppose that Albert and Leo are in a contract dispute. Leo has breached their contract and this has resulted in damages of amount x to Albert. They can negotiate a settlement before they go to trial. If they settle, they divide the gain in total surplus from settling equally. Going to court costs each 1000 (and they are in the "American" system). Suppose that Albert anticipates that the court will find x to be 0 with probability and 20,000 with probability 4. Further, suppose that Leo anticipates that the court will find x to be O with probability ½ and 20,000 with probability %. Assume both Albert and Leo are risk neutral and motivated by their expected payoffs. Part A: Will Albert and Leo settle? If so, what is the outcome? If not, explain why. Part B: Suppose now that Albert believes the court will find x to be 0 with probability 1. Leo anticipates that the court will find x to be 0 with probability % and 20,000 with probability %. If Albert anticipates there is scope for settlement…1. Diversty or be Sued! An investor with a stock portfolio worth several hundred thousand dollars sued his broker because lack of diversification in his portfolio led to poor performance (low returns) The table below gives the rates in percentages for the 39 months that the account was managed by the broker. An arbitration panel composed these returns with average of the Standard and Poor's stock index for the same period. Consider the 39 SRS monthly returns the broker would generate if he managed the account forever. Are these returns compatible with a population mean of .95%, the S&P 500 averaged over 35 years? The numbers are already in percentages. -2.93 -15.25 1.28 -1.01 -8.36 1.62 -2.27 -2.7 -2.93 -9.14 -2.64 6.82 -2.35 -3.58 -5.11 5.04 -9.16 12.22 -2.56 -1.25 -7.21 4.33 6.13 7.00 -1.44 -2.14 -8.66 -65 -1.41 -1.03 4.34 -1.22 -.09 2.35 -10.27 7.34 -7.24 12.03 Test the investors' claim at the alpha level .05 significance level. (name the hypotheses, parameter, type of test and make…
- An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments.1. Suppose that two students, A and B, are both 29 years old but A is a female whereas B is a male, A is single while B is married. Both had an income of 4500 cedis when in the university and both have health inventory score of 21. Student A had two kids while in the university whereas student B had 4 kids. Both scored 16 on life satisfaction inventories as well as 23 on socioeconomic status of parents. Student A was a smoker but B was not. A scored 7 while B scored 12 on spirituality inventory. Both finished the university program but whiles a was earning 9000 Ghana cedis seven years after university, B was earning 6800. What is the predicted difference in the life satisfaction score of these two student seven years after university? 2. How much higher is the life satisfaction score predicted to be if the score on spirituality inventory rises by 25? 3. Which one of the pairs of variables selected to be multicollinear may be deleted from the regression and why? 4. Interpret the…1. Suppose that two students, A and B, are both 29 years old but A is a female whereas B is a male, A is single while B is married. Both had an income of 4500 cedis when in the university and both have health inventory score of 21. Student A had two kids while in the university whereas student B had 4 kids. Both scored 16 on life satisfaction inventories as well as 23 on socioeconomic status of parents. Student A was a smoker but B was not. A scored 7 while B scored 12 on spirituality inventory. Both finished the university program but whiles a was earning 9000 Ghana cedis seven years after university, B was earning 6800. What is the predicted difference in the life satisfaction score of these two student seven years after university? 2. How much higher is the life satisfaction score predicted to be if the score on spirituality inventory rises by 25? 3. Which one of the pairs of variables selected to be multicollinear may be deleted from the regression and why? 4. Interpret the…