An investor is concerned with the market return for the coming year, where the marketreturn is defined as the percentage gain (or loss, if negative) over the year. The investor believesthere are five possible scenarios for the national economy in the coming year: rapid expansion,moderate expansion, no growth, moderate contraction, and serious contraction. Furthermore, shehas used all of the information available to her to estimate that the market returns for thesescenarios are, respectively, 23%, 18%, 15%, 9%, and 3%. That is, the possible returns vary froma high of 23% to a low of 3%. Also, she has assessed that the probabilities of these outcomes are0.12, 0.40, 0.25, 0.15, and 0.08. Use this information to describe the probability distribution of themarket return.Compute the following for the probability distribution of the market return for the comingyear.:1. Mean,2. Variance,3. Standard deviationShow your solutions.

Answered: An investor is concerned with the…

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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The following data were taken from the annual reports of Big Bang Inc., a manufacturer of fireworks, and Orange Inc., a manufacturer of computers. Big Bang, Inc. Orange, Inc. Cost of goods sold $830,000 $11,540,000 Inventory, end of year 190,000 320,000 Inventory, beginning of year 240,000 290,000 What is the inventory turnover for Big Bang and Orange. a. Big Bang, Inc.: 3.86Orange, Inc.: 37.84 b. Big Bang, Inc.: 3.86Orange, Inc.: 9.65 c. Big Bang, Inc.: 94.55Orange, Inc.: 37.84 d. Big Bang, Inc.: 94.55Orange, Inc.: 9.65
Profitability remains a challenge for banks and thrifts with less than $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on assets (ROA), an indicator of how profitable a company is relative to its total assets. Data collected from a sample of 20 community banks include the ROA (%), the efficiency ratio (%), as a measure of bank productivity (the lower the efficiency ratio, the better), and total risk-based capital (%), as a measure of capital adequacy. Complete parts (a) through (g) below. Click the icon to view the data table. a. State the multiple regression equation. Let X₁, represent the efficiency ratio (%) and let X₂; represent the total risk-based capital (%). Ý TO DX DX = + + (Round the constant to two decimal places as needed. Round the coefficients to four decimal places as needed.) Distribution Costs ROA (%) 1.13 1.22 0.82 1.15 0.81 1.23 0.67 1.35 0.95 0.71 0.69 1.10 0.87 1.02 0.86 1.74 1.02 1.76 0.90 0.68 Efficiency…
Financial analysts commonly use an approach called value at reisk to compare the risk of stocks or portfolios. The analyst tries to estimate a low percentile (such as the 5th or 10th percentile) of the forecasted range of possible returns for a given stock or portfolio and that percentile is used as a rough measure of the worst-case senario for that investment. Suppose an analyst is trying to compare two investments: Investment A has a forecasted average return of $10 million with a standard deviation of $3 million, and Investment B has a forecasted average return of $12 million with a standard deviation of $5 million. The analyst wants to avoid risk and invest in the one that has a larger 5 percentile for the return distribution. Which investment should he/she make?
An insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and three different levels-low, medium, and high-for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.05 (5% of all such individuals). Homeowner's N L M н Auto L 0.04 0.05 0.05 0.02 M 0.07 0.11 0.20 0.11 0.02 0.03 0.15 0.15 Suppose an individual having both types of policies is randomly selected. (a) What is the probability that the individual has a medium auto deductible and a high homeowner's deductible? (b) What is the probability that the individual has a low auto deductible? A low homeowner's deductible? auto deductible homeowner's deductible (c) What is the probability that the individual is in the same category for both auto and homeowner's deductibles?…
An insurance company offers four different deductible levels-none, low, medium, and high-for its homeowner's policyholders and three different levels-low, medium, and high-for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Auto L M H Homeowner's NLMH Suppose an individual having both types of policies is randomly selected. (a) What is the probability that the individual has a medium auto deductible and a high homeowner's deductible? 0.04 0.07 0.05 0.02 0.07 0.09 0.20 0.11 0.02 0.03 0.15 0.15 (b) What is the probability that the individual has a low auto deductible? A low homeowner's deductible? auto deductible homeowner's deductible (c) What is the probability that the individual is in the same category for both auto and homeowner's deductibles?…
Below are percentages for annual sales growth and net sales attributed to loyalty card usage at 74 Noodles & Company restaurants. Annual Sales Growth (%) and Loyalty Card Usage (% of Net Sales)(n = 74 restaurants) Store Growth% Loyalty% Store Growth% Loyalty% 1 -8.3 2.1 38 7.1 1.6 2 -4.0 2.5 39 7.4 1.8 3 -3.9 1.7 40 7.7 2.2 4 -3.4 2.1 41 7.9 2.2 5 -3.3 2.5 42 8.1 2.8 6 -1.9 3.0 43 8.3 2.4 7 -0.8 2.3 44 8.5 3.1 8 -0.4 2.3 45 8.6 2.2 9 -0.2 2.2 46 8.7 1.3 10 -0.2 2.3 47 8.8 1.8 11 0.5 2.1 48 8.8 2.5 12 0.6 2.5 49 8.9 1.9 13 0.8 2.0 50 9.1 2.0 14 1.9 2.0 51 9.5 2.4 15 2.0 2.0 52 10.2 2.2 16…
Profitability remains a challenge for banks and thrifts with less than $2 billion of assets. The business problem facing a bank analyst relates to the factors that affect return on assets (ROA), an indicator of how profitable a company is relative to its total assets. Data collected from a sample of 20 community banks include the ROA (%), the efficiency ratio (%), as a measure of bank productivity (the lower the efficiency ratio, the better), and total risk-based capital (%), as a measure of capital adequacy. Complete parts (a) through (g) below. Click the icon to view the data table. a. State the multiple regression equation. Let X₁¡ represent the efficiency ratio (%) and let X₂¡ represent the total risk-based capital (%). Ŷ₁=+X₁₁+Xzi (Round the constant to two decimal places as needed. Round the coefficients to four decimal places as needed.) Distribution Costs ROA (%) 1.04 0.77 0.14 1.44 0.90 1.16 1.07 1.58 1.45 1.15 1.17 3.40 0.86 0.66 0.81 1.14 0.83 0.86 1.14 1.04 TOlal Efficiency…
Returns earned over a given time period are called realized returns. Historical data on realized returns is often used to estimate future results. Analysts across companies use realized stock returns to estimate the risk of a stock. Consider the case of Celestial Crane Cosmetics Inc. (CCC): Five years of realized returns for CCC are given in the following table. Remember: 1. While CCC was started 40 years ago, its common stock has been publicly traded for the past 25 years. 2. The returns on its equity are calculated as arithmetic returns. 3. The historical returns for CCC for 2014 to 2018 are: 2014 2015 2016 2017 2018 Stock return 18.75% 12.75% 22.50% 31.50% 9.75% Given the preceding data, the average realized return on CCC’s stock is . The preceding data series represents of CCC’s historical returns. Based on this conclusion, the standard deviation of CCC’s historical returns is . If investors expect the…
Corn crop yields vary by state. In 2008, IOWA averaged 172 bushels/acre. On September 3, 2009, the published market price per bushel was 319.25 cents/bushel. Jimmy Harold is analying a heavily leveraged purchase of some additional acreage, and his decision to purchase is based on the expected yield during his first crop year. After analyzing historical rainfall and long range weather forecasts, Jimmy compiled the following table of crop yields. rainfail yield(bu/acre) probability below average 154 0.15 average 172 0.4 above average 177 0.45 What is the expected corn crop yield, E[Y] based on the data in Jimmy's? E[Y] = (to 2 decimal places).
Suppose that you are a researcher and wish to construct a linear mathematical (statistical) model that relates the number of years and the corresponding exports (million U.S.$) of a country. The constructed model may use to forecasts the future values. You have obtained the relevant data for the during of 1990 to 1995 and you have listed the data in Table 5. Table 5. Shows the list of the amount that have earned on exports Year No. 1 2 3 4 5 6 Exports 4954 6131 6904 6813 6803 8137 (a) Construct a suitable graph that explains the relationship between the number of years and the corresponding exports. (b) Construct a mathematical (Statistical) model by using least square method between number of years and the corresponding sales. (c) Interpret the slope of the estimated linear model (d) Forecast the value of exports by using the estimated linear model for the year of 2000
If a manager adopted both project A and project B simultaneously, the variance in returns associated with this joint project would be: Project Boom (25%) A B 18.75. 75. 30. 500. $30 -$15 Recession (75%) -$15 $20
The ABC Company is involved in the production and selling of consumer goods, particularly beauty products such as bath soap and shampoo and had registered a positive profit growth for the last 10 years. However, the current year seems to be different from those years as the company is expecting a decline in profit; which is estimated to be about 70% below the target. The manager now is in a dilemma … asking himself/herself “What happened, why this decline in profit?” The Manager then asked the company Accountant to give him/her the data on sales and advertising cost for the last 10 years – he/she wants these data to determine whether the company can live without advertising, as advertising cost happens to be substantial. Justify your answer by doing as step-by-step procedure in Correlation Analysis using a 0.05 level of significance. The data are as follows –

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