has the mean vector and variancecovariance matrix given below: Asset Mean VarianceCovariance Matrix 1 2 3 0.06 0.12 0.03 1 0.3 0.3 0.3 1 0.3 0.3 0.3 1 Weights Ones Mean Portfolio Return 1 1 1 0.176666122 Portfolio Portfolio Portfolio Variance STD Constraint 2.42961 1.558721 1 0.079372 1.603166 -0.68254 To model the portfolio choice problem‚ I begin by highlighting the mean vector and giving it a name. To do this‚ left-click on cell c9 and drag down until cell c11 and then release
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)2 / N ] * Population variance = σ2 = Σ ( Xi - μ )2 / N * Variance of population proportion = σP2 = PQ / n * Standardized score = Z = (X - μ) / σ * Population correlation coefficient = ρ = [ 1 / N ] * Σ { [ (Xi - μX) / σx ] * [ (Yi - μY) / σy ] } Statistics Unless otherwise noted‚ these formulas assume simple random sampling. * Sample mean = x = ( Σ xi ) / n * Sample standard deviation = s = sqrt [ Σ ( xi - x )2 / ( n - 1 ) ] * Sample variance = s2 = Σ ( xi - x )2 / (
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Source: Frerichs‚ R.R. Rapid Surveys (unpublished)‚ © 2008. NOT FOR COMMERCIAL DISTRIBUTION 3 Simple Random Sampling 3.1 INTRODUCTION Everyone mentions simple random sampling‚ but few use this method for population-based surveys. Rapid surveys are no exception‚ since they too use a more complex sampling scheme. So why should we be concerned with simple random sampling? The main reason is to learn the theory of sampling. Simple random sampling is the basic selection process of sampling and is
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0.30 E(R) 8.5% Covariance 0.014177 15.68% 11.91% 0.0153 Corr. 0.0246 9.76% S.D. 10.25% 0.009525 Variance 12% 0.99 EQ 7.2 Expected Return: E(RA) = (0.3) (‐0.05) + (0.4) (0.10) + (0.3) (0.20) = 0.085 = 8.5% E(RB) = (0.3) (‐0.10) + (0.4) (0.15) + (0.3) (0.30) = 0.12 = 12% EQ 7.3 Variance of Return: Var(RA) = (0.3) (‐0.05 – 0.085)2 + (0.4) (0.10 – 0.085)2 + (0.3)(0.20 – 0.085)2 = 0.009525 SD(RA) = Var(RA) ½ = (0.009525) ½ = 0
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Final Draft Field Evaluation of Center Pivot Sprinkler Irrigation Systems In Michigan Report Prepared by: Sabah Almasraf‚ Jennifer Jury and Steve Miller Department of Biosystems and Agricultural Engineering Michigan State University March 2011 1 Table of Contents Introduction ..................................................................................................................................... 5 Background and Recent Research .......................................
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sample mean and variance of monthly 2 returns of a risky asset. Denote µa and σa the annualized sample mean and variance of returns of the risky asset. Then 2 (a). µa = 0.01 and σa = 0.024; 2 (b). µa = 0.12 and σa = 0.024; 2 (c). µa = 0.12 and σa = 0.288; (d). µa = 0.12 and σa = 0.024; (e). None of the above. 2. Which of the following statements is correct? (a). Expected utility of wealth is constant on the MVS. (b). In the standard deviation and expected return space‚ the mean-variance combination
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understand the concept of return‚ and be able to distinguish between realised returns and expected returns ● understand the relationship between expected return and risk ● understand the basic notion of uncertainty and be able to calculate sample variance ● understand the role and importance of the normal distribution. Key points 1 Investing involves allocating wealth to yield future returns. 2 Investments are typically measured according to risk and return. 3 The investment process can be broadly
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generally present few difficulties for event studies. Standard procedures are typically well-specified even when special daily data characteristics are ignored. However‚ recognition of autocorrelation in daily excess returns and changes in their variance conditional on an event can sometimes be advantageous. In addition‚ tests ignoring cross-sectional dependence can be well-specified and have higher power than tests which account for potential dependence. 1. Introduction This paper examines properties
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and alternative hypotheses. 4. A random sample is obtained from a population with variance ‚ and the sample mean is computed. Test the null hypothesis versus the alternative hypothesis with . compute the critical value ̅ and state your decision rule for the following options: a) Sample size b) Sample size c) Sample size d) Sample size 5. A random sample of is obtained from a population with variance ‚ and the sample mean is computed. Test the null hypothesis versus the People who
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Non Performing Assets (npa) in sbi Getting current updates and regulations for the non performing assets (npa) in sbi With a steep rise in the ratio of the nonperforming assets all over the country‚ it has been really tough for the RBI to control and manage in the given time frame. No doubt‚ public sector banks including SBI have been in the list of banks that have been implementing the procedures to control the default line of the borrowers. On the other hand‚ it should also be noted that nonperforming
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