FIN 350 Prof. Porter Problem Set 4 1. Describe what happens to the total risk of a portfolio as the number of securities is increased. Differentiate between systematic risk and unsystematic risk and explain how total risk and systematic risk are measured. As the number of securities increases‚ the total risk of the portfolio decreases. This decrease occurs due to the benefits of diversification which is the process of acquiring a portfolio of securities that have dissimilar risk-return characteristics
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In mathematics‚ the Pythagorean theorem — or Pythagoras’ theorem — is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas‚ it states: In any right-angled triangle‚ the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). The theorem can be written as an equation relating the lengths
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Bernoulli’s Principle states that for an ideal fluid (low speed air is a good approximation)‚ with no work being performed on the fluid‚ an increase in velocity occurs simultaneously with decrease in pressure or a change in the fluid’s gravitational potential energy. This principle is a simplification of Bernoulli’s equation‚ which states that the sum of all forms of energy in a fluid flowing along an enclosed path (a streamline) is the same at any two points in that path. It is named after the
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SOLUTIONS Financial Management Seminar + Homework‚ Week 5 1. Starware Software was founded last year to develop software for gaming applications. Initially‚ the founder invested $800‚000 and received 8 million shares of stock. Starware now needs to raise a second round of capital‚ and it has identified an interested venture capitalist. This venture capitalist will invest $1 million and wants to own 20% of the company after the investment is completed. a. How many shares must the venture capitalist
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BIOAP 458‚ 2012 Name: _______________________ Raw Score: ________/ 102‚ ________% PROBLEM SET 7 Cardiac Electrophysiology 1) (8 pts.) Match the most appropriate pairs _F__ AV node (atrioventricular node) _E__ gap junctions _G__ action potential generated by ventricular myocytes _H__ functions as the pacemaker of the whole heart _D__ calcium _C__ Bachmann’s bundle _A__ Bundle of His _B__ action potential generated by pacemakers Prof. Beyenbach VRT 8014 A. ventricular conduction system that distributes
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Experiment No. 1: Bernoulli’s Theorem Object: To verify Bernoulli’s theorem for a viscous and incompressible fluid. Theory: In our daily lives we consume a lot of fluid for various reasons. This fluid is delivered through a network of pipes and fittings of different sizes from an overhead tank. The estimation of losses in these networks can be done with the help of this equation which is essentially principle of conservation of mechanical energy. Formal Statement: Bernoulli’s Principle is
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Exercise 6-1 Part A (1) Sales 2‚700‚000 Purchases (Cost of Goods Sold) 2‚700‚000 To eliminate intercompany sales of 2011 (2) 12/31 Inventory-Income Statement (Cost of Goods Sold) 487‚500 12/31 Inventory (Balance Sheet) 487‚500 To eliminate unrealized intercompany profit in inventory Exercise 6-2 Reported Net Income- S Company $ 525‚000 Noncontrolling Interest Percentage 0
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4a) His income is €300‚ so his budget constraint is the line between y=30 and x=75. The optimal choice (utility-maximizing) is shown by the point of tangency with his utility function. This is point E (and x =30). b) The budget constraint shifts to x = 120. The new optimal choice is point C (and x = 35). c) ΔY∙py = (30-22‚5)∙10 = €75 d) The total effect: Point E C e) Income effect: F C Substitution effect: E F f) Income effect < 0‚ so X is an inferior good. 5a) U(x‚y) = x1x2
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Thomas Theorem A teacher believing a student is more intelligent than they really are could change the interaction between this student and the teacher in many ways. This student could see the teacher having faith in them and perhaps seeing something in them that they don’t see in themselves. It could cause the student to have higher self esteem by this teacher thinking positively about them. This could be detrimental to the student because other students could consider the extra attention
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LAST THEOREM I am going to do my project in the field of number theory. Number theory‚ a subject with a long and rich history‚ has become increasingly important because of its application to computer science and cryptography. The core topics of number theory are such as divisibility‚ highest common factor‚ primes‚ factorization‚ Diophantine equations and so on‚ among which I chose Diophantine equations as the specific topic I would like to go deep into. Fermat ’s Last Theorem states
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