To From Special B MDA Special B MDA 0.90 0.05 0.10 0.95 a. Compute the steady-state probabilities. RSITY
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Q: From Special B MDA Special B MDA 0.90 0.10 0.95 0.05
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Q: The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the…
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Q: The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the…
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A: Given information: From Special B MDA Special B 0.90 0.10 MDA 0.05 0.95
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The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the following transition
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- Q3. Suppose that the market default rate for bonds is given by 0.01, i.e., the probability the market believes that the company may not be able to pay the owner of the bonds is 0.01. Now a credit default swap (CDS) is sold at fair price $ 0.01 per unit. Ackman expects that the true default rate is 0.05, not 0.01. Ackman bought 67 billion units of CDS at the price $ 0.01 per unit. a. Suppose that Ackeman's expectation about the default rate is not correct. I.e., the true default rate for bonds is given by 0.01. Find the cost of the purchase. Find the expected payoff. Find the profit. b. Suppose that Ackeman's expectation is correct. Find the cost of the purchase. Find the expected payoff. Find the profit.Insurance A 65-year-old woman takes out a $100,000 term life insurance policy. The company charges an an-nual premium of $520. Estimate the company’s expected profit on such policies if mortality tables indicate thatonly 2.6% of women age 65 die within a year.Arbor Systems and Gencore stocks both have a volatility of 44%. Compute the volatility of a portfolio with 50% invested in each stock if the correlation between the stocks is 0.00. If the correlation is 0.00, the volatility of the portfolio is%. (Round to one decimal place.)
- You own a fruit garden. Choose one of the followings by showing clear calculation. Yearly inflation rate is 5%. Option A: Invest 3 lac BDT to buy cultivation tools/factory. At end of every year you may gain high (8 lac BDT), medium (3 lac BDT) or low (1 lac BDT) with respective probability 0.3, 0.4 and 0.3 for the next 5 years. Option B: Lease the garden. The lessee pays 3.5 lac BDT at the beginning of each year for the next 5 years. There is risk of plant mortality due to hyper production. Loss may be high: 9 lac BDT (probability 0.1) or low: 1 lac BDT. This loss is realized at the end of 5th year only.In a certain city, projections for the next year indicate there is a 20% chance that electronics jobs will increase by 1300, a 50% chance that they will increase by 400, and a 30% chance they will decrease by 900. Find the expected change in the number of electronics jobs in that city in the next year. The expected change is an increase of __________ jobs.A stock has monthly returns of 9%, 22%, 15%, and 28%. What is the stock's geometric average return?
- The graph of the discrete probability to the right represents the number of live births by a mother 41 to 45 years old who had a live birth in 2015. Complete parts (a) through (d) below. Probability → 0.30- 0.25- 0.20- 0.15- 0.10- 0.05- 0.00- 0 0.234 1 0.281 2 0.165 0.114 0.107 0.021 0.025 3 4 5 6 Number of Live Births 7 0.053 8 (a) What is the probability that a randomly selected 41- to 45-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? 0.114 (Type an integer or a decimal.) (b) What is the probability that a randomly selected 41- to 45-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year? 0.221 (Type an integer or a decimal.) (c) What is the probability that a randomly selected 41- to 45-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year? 0.099 (Type an integer or a decimal.) (d) If a 41- to 45-year-old mother who had a live birth in 2015 is randomly…ony runs a cell phone kiosk in the mall and has 244 potential customers each day. He has a 7 % chance to make a sale to each customer. Use continuity correction to normally approximate the following probabilities.Round to 4 decimal places.a. The probability that he makes AT LEAST 18 sales b. The probability that he makes AT MOST 16 salesThe graph of the discrete probability to the right represents the number of live births by a mother 46 to 50 years old who had a live birth in 2015. Complete parts (a) through (d) below. 0.30- 0.25- 0.20- 0.15- 0.10- 0.05- 0.00- 0.272 0.232 0.163 0.111 0.105 0.055 0.033 0.029 1 3 4 8 Number of Live Births (a) What is the probability that a randomly selected 46- to 50-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? (Type an integer or a decimal.) (b) What is the probability that a randomly selected 46- to 50-year-old mother who had a live birth in 2015 has had her fourth or fifth live birth in that year? (Type an integer or a decimal.) (c) What is the probability that a randomly selected 46- to 50-year-old mother who had a live birth in 2015 has had her sixth or more live birth in that year? (Type an integer or a decimal.) (d) If a 46- to 50-year-old mother who had a live birth in 2015 is randomly selected, how many live births would you expect…
- The graph of the discrete probability to the right represents the number of live births by a mother 51 to 56 years old who had a live birth in 2015. Complete parts (a) through (d) below. Probability 0.30- 0.25- 0.20 0.15- 0.10- 0.05- 0.00 0 0.233 1 0.288 2 0.169 0.113 0.097 0.026 0.029 0.045 3 5 6 Number of Live Births (a) What is the probability that a randomly selected 51- to 56-year-old mother who had a live birth in 2015 has had her fourth live birth in that year? (Type an integer or a decimal.) 8 QThe lifetime of a printer costing $200 is exponentially distributed with mean 2 years. The manufacturer agrees to pay a full refund to a buyer if the printer fails during the first year following its purchase, and a one-half refund if it fails during the second year. If the manufacturer sells 100 printers, how much should it expect to pay in refunds? Choose one of the following. Source: Society of Actuaries.(a) 6321 (b) 7358 (c) 7869 (d) 10,256 (e) 12,642Suppose a weather report indicates that the probability of rain this week is 0.20. This week Next week According to the report, if it rains this week, then the probability of rain next Rain week is 0.33. If it does not rain this week, then the probability of rain next week is 0.17. The tree diagram models this weather report. 0.33 Rain 0.20 Determine the probability that it will not rain for the next two weeks. Express 0.67 No rain your answer as a decimal precise to two decimal places. Rain 0.17 probability = 0.80 No rain 0.83 No rain