A study shows the following one-generation transition probabilities among four major income groups. Eldest Son's Income Father's Income Bottom 10% 10%-50% 50%-90% Top 10% Bottom 10% 0.45 0.32 0.21 0.02 10%-50% 0.07 0.49 0.4 0.04 50%-90% 0.04 0.3 0.48 0.18 Top 10% 0.01 0.1 0.3 0.59 In the long term, what percentage of male earners would you expect to find in each category? (Round your answers to two decimal places.) bottom 10% 10%-50% 50%-90% % top 10% %
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- 2. Statistical measures of stand-alone risk Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during a possible circumstances. To compute an asset's expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case: Ethan owns a two-stock portfolio that invests in Happy Dog Soap Company (HDS) and Black Sheep Broadcasting (BSB). Three- quarters of Ethan's portfolio value consists of HDS's shares, and the balance consists of BSB's shares. Each stock's expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table: Market Condition Probability of Occurrence Happy Dog Soap Black Sheep Broadcasting Strong 0.50 50% 70% Normal 0.25 30% 40% Weak…Asian economies impact some of the world's largest populations. The growth of an economy has a big influence on the everyday lives of ordinary people. Are Asian economies changing? A random sample of 15 Asian economies gave the following information about annual percentage growth rate. Region 1 2 3 4 5 6 7 8 Modern Growth Rate % 4.4 2.9 7.6 2.6 0.9 5.3 2.3 4.8 Historic Growth Rate 3.1 1.7 7.1 5.9 3.1 6.2 3.4 8.6 Region 9 10 11 12 13 14 15 Modern Growth Rate % 4.5 5.2 6.6 3.8 3.8 0.2 7.7 Historic Growth Rate 6.6 7.8 6.2 1.3 1.4 2.7 5.9 Does this information indicate a change (either way) in the growth rate of Asian economies? Use a 10% level of significance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: Distributions are the same. H1: Distributions are different.Ho: Distributions are different. H1: Distributions are the same. Ho: Distributions are the same. H1: Distributions are the same.Ho: Distributions are different.…8. Using the data in the following table, estimate (a) the average return and volatility for each stock, (b) the covariance between the stocks, and (c) the correlation between these two stocks. Year Stock A Stock B 2004 -10% 21% 2005 20% 7% 2006 5% 30% 2007 -5% -3% 2008 2% -8% 2009 9% 25%
- Stock prices: Following are closing prices for a certain stock during June and July of a certain year. June July 474.02 487.01 488.50 483.19 497.99 456.56 467.49 475.83 489.20 491.34 488.56 486.25 482.05 472.68 472.08 494.02 459.61 466.18 481.59 477,50 454.26 444.95 482.37 493.37 498.72 484.81 490.06 488.97 492.63 484.35 Send data to Excel Part 1 of 2 (e) Find the population standard deviation and variance for the prices in June. Round the answers to at least three decimal places The population standard deviation for the prices in June is The population variance for the prices in June is Part 2 of 2 (b) Find the population standard deviation and variance for the prices in July. Round the answers to at least three decimal places The population standard deviation for the prices in July is12. Calculate the expected life of refrigerators at the age of 7 using the following data. Age: up 2 2-4 4-6 6–8 8-10 10-12 16 13 7 5 4 Girls:The following maintenance alternatives are considered for a new assembly line that has an acquisition cost of $250,000. Each has distinct service life expectancies and corresponding probabilities. Determine the maintenance regime most likely to yield an annualized overall cost less than $32k, given an annual rate of 7%. Maintenance regime $0 throughout life $25000 (in year 4) $35,000 (years 3 and 6) $75,000 (year 6) 7 (0.2) 8 (0.15) 10 (0.25) 12 (0.3) Service life years (probability) 8 (0.6) 10 (0.5) 12 (0.5) 13 (0.33) 15 (0.37) 9 (0.2) 12 (0.35) 14 (0.25)
- Q3If the famous insurance company, Lloyd’s of London, insures a $3 million Monet painting for $5000 per year. And, in each year, the painting has a .00021 chance of being stolen according to the Lloyd’s research team? From Lloyd’s perspective, find the expectation for insuring this painting for one yearStock prices: Following are closing prices for a certain stock during June and July of a certain year. June July 472.68 472.08 454.26 444.95 482.37 491.34 494.02 459.61 466.18 481.59 493.37 498.72 485.52 484.78 474.02 477.50 484.81 490.06 488.97 492.63 487.01 488.50 483.19 497.99 488.56 484.35 484.99 484.85 439.49 436.55 Send data to Excel Part 1 of 2 (a) Find the population standard deviation and variance for the prices in June. RoUnd the answers to at least three deci places. The population standard deviation for the prices in June is The population variance for the prices in June is
- Project A has the following probability distribution of expected future returns: Probabality Net Future Worth0.1 -$16,0000.2 4,0000.4 16,0000.2 25,0000.1 35,000What is the expected future worth for Project A?(a) $9,450 (b) $10,800 (c) $14,100 (d) $12,300consultant has been hired to redesign a company's production facility. The consultant estimates the probabilities of her potential profit as shown in the table below. What is her profit expectation?$ Profit/Loss Probability $40,000 0.05 $30,000 0.30 $20,000 0.38 $10,000 0.20 $5,000 0.07Q3. 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.