Fill in the blank.The yearly rate of return on the Standard & Poor's 500 (an index of 500 large-cap corporations) is approximately normal. From January 1, 1960 through December 31, 2009, the S&P 500 had a mean yearly return of10.98 percent, with a standard deviation of about 17.46 percent. Take this normal distribution to be the distribution of yearly returns over a long period.The interval in which the middle 95 percent of all yearly returns lie is 10.98 ±(Give your answer to two decimal places.)

Answered: Fill in the blank. The yearly rate of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a table of “Sales as a % of Moving Average” over a 5-year period the adjusted average of the four entries for Quarter I is 160 (the seasonal index for Quarter 1). Actual sales in Quarter 1 were 4000 dollars. What is the de-seasonalized value of sales in Quarter 1? _____
An investor recorded the following annual returns of one of his investments. You are required to calculate and comment on; Mean return. Variance and standard deviation of the return. Geometric return. Year 2016 2017 2018 2019 2020 Return 15% 17% 19% 10% -5%
2021 2020 2019 2018 2017 Sales $ 497,289 $ 327, 164 $ 267,073 $ 197, 102 $ 141,800 Cost of goods sold 251,145 165, 182 137, 037 99,651 70,900 Accounts receivable 23,969 19, 172 18,214 11,511 9,699 Compute trend percents for the above accounts, using 2017 as the base year.
STATE: Andrew plans to retire in 4040 years. He plans to invest part of his retirement funds in stocks, so he seeks out information on past returns. He learns that from 1966 to 2015, the annual returns on S&P 500500 had mean 11.0%11.0% and standard deviation 17.0%17.0% . PLAN: The distribution of annual returns on common stocks is roughly symmetric, so the mean return over even a moderate number of years is close to Normal. We can use the Central Limit Theorem to make an inference. SOLVE: What is the probability, ?1p1 , assuming that the past pattern of variation continues, that the mean annual return on common stocks over the next 4040 years will exceed 10%10% ? (Enter your answer rounded to two decimal places.) What is the probability, ?2p2 , that the mean return will be less than 5%5% ? (Enter your answer rounded to two decimal places.)
Observe the mean, the standard deviation, and the CV of the annual rate of return of the portfolio. Apple Historical Annual Stock Price Data Year Average Stock Price Year Open Year High Year Low Year Close Annual % Change 2021 135.6974 129.4100 156.6900 116.3600 148.7600 12.11% 2020 95.3468 75.0875 136.6900 56.0925 132.6900 80.75% 2019 52.0640 39.4800 73.4125 35.5475 73.4125 86.16% 2018 47.2634 43.0650 58.0175 36.7075 39.4350 -6.79% 2017 37.6378 29.0375 44.1050 29.0050 42.3075 46.11% 2016 26.1510 26.3375 29.5625 22.5850 28.9550 10.03% 2015 30.0096 27.3325 33.2500 25.7800 26.3150 -4.64% 2014 23.0661 19.7546 29.7500 17.8494 27.5950 37.72% 2013 16.8798 19.6082 20.3604 13.9475 20.0364 5.42% 2012 20.5732 14.6868 25.0750 14.6868 19.0062 31.40% 2011 13.0002 11.7704 15.0800 11.2614…
53. Calculate seasonal index numbers from the following data : RATIO OF OBSERVED TO TREND VALUES (%). Year II IV 2012 108 130 107 93 2013 86 120 110 91 2014 92 118 104 88 2015 78 100 94 78 2016 82 110 98 00 86 2017 X3 If the sales of goods X by a firm in the first quarter of 2018 are worth Rs. 2,00,000, determine how much worth of the goods should be kept in stock by the firm to meet the demand in each of the remaining three quarters of 2018 by using the seasonal index numbers calcuiated above. 106 118 105 98
Monthly Sales 6267.19 7058.06 7119.5 7147.18 7198.52 7298.09 7325.7 7335.68 7355.97 7481.05 7490.23 7530.08 7616.09 7682.69 7684.14 7704.12 7704.98 7779.28 7798.23 7815.15 7844.16 7890.21 7977.6 7993.16 8021.03 8028.37 8068.86 8082.42 8096.17 8119.25 8129.21 8190.68 8255.28 8282.44 8376.31 8392.4 8400.95 8451.16 8456.66 8505.35 8539.25 8543.65 8573.05 8641.78 8667.48 8751.08 8777.97 8800.08 8888.65 8907.03 9096.87 9241.74 9411.68 9450.73 9484.62 9514.57 9521.4 9524.91 9733.44 10123.24 Given the company’s performance record and based on the empirical rule of normal distribution (also known as the 68%-95%-99.7% rule), what would be the lower bound of the range of sales values that contains 68% of the monthly sales? What would be the upper bound of the range of sales values that contains 68% of the monthly sales?
Which one of the following components represents the basic tendency of the series? a. Secular Trend b. Seasonal Variations c. Cyclic Variations d. Irregular Variations
The table below shows the year open and year closing price of the S&P 500 Stock Index from 2005 to 2020: Year Year Open Year Close Annual Percent Change 2005 $ 1,202.08 $ 1,248.29 2006 $ 1,268.08 $ 1,418.30 2007 $ 1,416.60 $ 1,468.36 2008 $ 1,447.16 $ 903.25 2009 $ 931.80 $ 1,115.10 2010 $ 1,132.99 $ 1,257.64 2011 $ 1,271.87 $ 1,257.60 2012 $ 1,277.06 $ 1,426.19 2013 $ 1,462.42 $ 1,848.36 2014 $ 1,831.98 $ 2,058.90 2015 $ 2,058.20 $ 2,043.94 2016 $ 2,012.66 $ 2,238.83 2017 $ 2,257.83 $ 2,673.61 2018 $ 2,695.81 $ 2,506.85 2019 $ 2,510.03 $ 3,230.78 2020 $ 3,257.85 $ 3,756.07 Find the annual percent change for the S&P 500 from 2005 to 2020; (Put those values in the table above) Compute the mean,…
Below are the CPIS for three different European countries from 2016 to 2019: Country CPI in 2016 CPI in 2017 CPI in 2018 CPI in 2019 United Kingdom 99.4 101.5 104.2 106.3 France 99 100.6 101.7 103.1 Germany 99.1 100.8 102 103.3 (a) Which country / countries experienced inflation from 2016 to 2019? (b) Calculate the percentage changes in CPIS from 2018 to 2019 for each country. (c) If the prices of a country, it was the cheapest in 2019? roduct wer the same in these three countries in 2018, in which
Data for a particular country on consumer debt (as a percentage of personal income) and mortgage debt (also as a percentage of personal income) for the 10 years from 2006 to 2015 are shown in the following table. Consumer Debt r = 6.72 7.07 6.97 6.69 6.19 5.58 5.15 4.95 4.74 4.59 Mortgage Debt 5.96 5.97 5.88 5.60 5.17 5.06 4.96 5.22 5.30 5.45 (a) What is the value of the correlation coefficient for this data set? (Round your answer to four decimal places.)
4a.) Draw the graphs. Round your final answers up to 6 decimal places, if applicable. Give the correct units.

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