Using Excel=s Solver Tool in Portfolio Theory Excel contains a tool called the Asolver@ that lets you maximize or minimize functions subject to general constraints. We will use this tool to compute the global minimum variance portfolio and the tangency portfolio for the three-firm example (see the spreadsheet 3firm.xls). The spreadsheet for this tutorial is called solverex.xls. The data for this example are given in the following table Stock 1 2 3 E[R] 0.229 0.138 0.052 VAR(R) 0.924 0.862 0.528
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SEMESTER 3 INDIAN INSTITUTE OF MANAGEMENTAND ENGINEERING CORPORATE LAWS $ SECRETARIAL PRACTICE PART 1 MARKS 80 Attempt any Four Q1 (A) How are the first directors of the company appointed? (B) What is the notice period required for a board meeting? Q2 (A) Can a company appoint managing director and manager simultaneously? (B) Is company allowed to appoint a part-time secretary instead of a Whole-time Secretary? Q3 (A) Who can fix the remuneration of auditors under
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Running the business from the Palm of your hand 1. Case describe applications which help to work on-line not only through our computers but also through mobile devices. I the modern world almost whole production is made by machines and controlled by computers‚ some people must to control production necessary in a plant‚ others could control it from the computer by choosing optimal operating conditionals. There are also a lot of applications which make informational system of the companies‚ which
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= w1 n1 [1 + r] + w2 n2 Dividing each side by [1+r] for convenience gives c1 + c2 w 2 n2 = w 1 n1 + 1+r 1+r We can solve for consumption and labor supply in each period (c1 ‚ c2 ‚ n1 ‚ n2 ) by first setting up the Lagrangian for a constrained optimization problem as L = ln[c1 ] + ln[1 − n1 ] + βln[c2 ] + βln[1 − n2 ] − λ[n1 + Taking FOC’s with respect to c1 ‚ c2 ‚ n1 ‚ n2 ‚ λ) gives dL dc1 dL dn1 dL dc2 dL dn2 dL dλ = = = = = 1 +λ=0 c1 1 − − λw1 = 0 1 − n1 β λ =0 + c2 1+r β λw2 =0 − − 1 − n2 1+r
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programming focuses on obtaining the best possible output (or a set of outputs) from a given set of limited resources. The LPP is a class of mathematical programming where the functions representing the objectives and the constraints are linear. Optimization refers to the maximization or minimization of the objective functions. You can define the general linear programming model as follows: Maximize or Minimize Z = c1 x1 + c2 x2 +………….. +cn xn subject to the constraints‚ a11 x1 + a12 x2 + ……………
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TORA Temporary-Ordered Routing Algorithm (TORA) – An Operations Research Software TORA is an algorithm i.e. a mathematical set of instructions or programs (mathematical-software). It is an optimization system in the area of operations research which is very easy to use. Further‚ TORA is menu-driven and Windows-based which makes it very user friendly. The software can be executed in automated or tutorial mode. The automated mode reports the final solution of the problem‚ usually in the standard
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Introduction Markowitz (1952‚ 1956) pioneered the development of a quantitative method that takes the diversification benefits of portfolio allocation into account. Modern portfolio theory is the result of his work on portfolio optimization. Ideally‚ in a mean-variance optimization model‚ the complete investment opportunity set‚ i.e. all assets‚ should be considered simultaneously. However‚ in practice‚ most investors distinguish between different asset classes within their portfolio-allocation frameworks
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www.jntuworld.com www.jwjobs.net 1 Code: 9A05603 III B. Tech II Semester (R09) Regular Examinations‚ April/May 2012 OPTIMIZING TECHNIQUES (Common to Computer Science & Engineering & Computer Science & Systems Engineering) Time: 3 hours Max Marks: 70 1 (a) (b) 2 Answer any FIVE questions All questions carry equal marks ***** State the necessary and sufficiency conditions for the minimum of the single variable function f ( x ) . Find the minimum of the function: f
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Q.1. What is a linear programming problem ? Discuss the steps and role of linear programming is solving management problems. Discuss and describe the role of liner programming in managerial decision-making bringing out limitations‚ if any. Ans : Linear Programming is a mathematical technique useful for allocation of scarce or limited resources to several competing activities on the basis of given criterion of optimality. The usefulness of linear programming as a tool for optimal decision-making
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Sub: Quantitative Techniques in Management 1) Answer any Sixteen 1. What is a linear programming problem? Discuss the scope and role of linear programming in solving management problems. Discuss and describe the role of linear programming in managerial decision-making bringing out limitations‚ if any. 2. Explain the concept and computational steps of the simplex method for solving linear programming problems. How would you identify whether an optimal solution to a problem obtained using simplex
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