Brandenburg Technical University Cottbus Department 1, Institute of Mathematics Chair for Numerical Mathematics an Scientific Computing Prof. Dr. G. Bader, Dr. A. Pawell Problem Session to the Course: Mathematics I Environmental and Resource Management WS 2002/03 Solutions to Sheet No. 13 (Deadline: January, 27/28 2002) Homework H 13.1: Eigenvalues of A: λ1 = −1, λ2/3 = 1 Eigenvectors: λ1 = −1: 2 0 0 0 1 1 0 1 x = 0, 1 x = (0, 1, −1)T , 1 c1 = √ (0, 1, −1)T
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made up a fake injury and used fake recources to demonstrate APA. Abstract Explosive tendonitis is an injury that occurs when a bone is fractured and heals over a tendon, pinching the tendon causing an explosive pain every time the tendon is used. This research was aimed at identifying the prevention and treatment of the injury. Two periodical articles, one book, one encyclopedia, and one internet site were used to research this topic. The injury is rare, but may occur in any athlete where
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This agreement is BETWEEN _______________(bodyguard’s name) hereinafter referred to as Bodyguard and Individual and/or Company:________________________________________Client’s name on above line. Represented by: _____________________________________ Address:_________________________________________City:_________________________State:________Zip:_______ Hereinafter referred to as Client. A usable copy of this contract follows this explanation. All the first part, above, is doing is
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The global economy is an intertwined economy, meaning for every action in one part of the economy, there is a reaction in another facet of the economy. How does the housing market financial crisis of 2008 have an impact on natural resources such as oil? Discussions You are required to participate in the following discussion(s) for this learning plan. Directions for participating in discussions are located in the Technical Instructions section of the Help Desk area located on the course home
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Volatility Forecasting Candidate number: Abstract This paper constructs a hedged portfolio with a long positon in S&P 500 index and a short position in FTSE 100 index. To calculate the time-varying hedge ratio, we use four methods, rolling window, EWMA, GARCH model and B-S model. Firstly, we explain the methods we used, including the assumptions, formulas and implications. Also, we implement the methods in the Excel to get the value of hedge ratios. Finally, we show the advantages and
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type of business your MNC is and the products and services it provides. 2. Create a matrix that compares three (3) emerging market countries across the following seven (7) elements: 1. economic system 2. political environment 3. legal and regulatory environment 4. technological environment 5. ethical system 6. social responsibility indicators 7. cultural dimensions 3. Evaluate each country in the matrix as to its suitability for your MNC. More Details hidden... Activity mode aims to provide
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the estimated, and thus forecasted, co-variance matrix. The paper examined four types of most widely adopted variations of GARCH model and exhibited how they could obtain very different results based on the same observations. This fact exhibited the substantial model risk when applying these GARCH models and it is naturally going to impact whatever application of the GARCH models, such as portfolio optimization where the forecasted co-variance matrix plays a very important role. Based on the finding
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focus on documenting the requirements of this project. As well as developing the scope statement for this project. By document the requirements based on the information provided and assumptions that we have made, including a requirements traceability matrix. Secondly, we will a list of questions to ask the company’s CIO, Ben, who is the project sponsor. Lastly, we will describe the potential deliverables and product characteristics through research. Requirements Project requirements provide an obvious
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Portfolio S.D 9.46% Calculation of Covariance (Do Not Alter Formula) Correlation Matrix US Equity Foreign Equity Bonds REITs Commodities US Equity 1 0.62 0.25 0.56 -0.02 Foreign Equity 0.62 1 0.06 0.4 0.01 Bonds 0.25 0.06 1 0.16 -0.07 REITs 0.56 0.4 0.16 1 -0.01 Commodities -0.02 0.01 -0.07 -0.01 1 Covariance Matrix US Equity Foreign Equity Bonds REITs Commodities US Equity 0.0231 0.0136 0.0042 0.0115 -0.0006 Foreign Equity
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f〖:R〗^n→R^1 is denoted by ∇f or ∇ ⃗f where ∇ denotes the vector of the differential operator. Hessian matrix was developed in the 19th century by the German mathematician Ludwig Otto Hesse and this matrix is later named after him. Hessian matrix is the matrix of second derivatives of a multivariate function. In mathematics it means the gradient of the gradient of a function. Hessian matrix is relevant in many places such as in economy too. Let a real-valued function f〖:R〗^n→R^1 be given and
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