Numerade

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The Federal Reserve sets the nation's monetary policy. enforces the nation's antitrust laws. analyzes data on workers. designs tax policy.

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Your margin account requires an initial margin of 50%, and a maintenance margin of 30%. You deposit $78,000 cash in a brokerage account and purchase stocks using all available margin and borrowing the rest from your broker. Later, the value of your stock holdings goes to $112,000. What is your dollar return?

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5. $f(x) = \frac{4}{3}sin(\frac{3x}{2} + \frac{\pi}{2}) + 2$ 6. $f(x) = \frac{3}{2}cos2(\frac{x}{3} - \frac{\pi}{4})$ 7. $f(x) = 3 \cdot tan(\frac{1}{3}(x + \pi)) + 1$ 8. $f(x) = -2 \cdot cos2(x + \frac{5\pi}{4}) + 3$ 9. $f(x) = 4 \cdot tan(\frac{2}{3}(x - \frac{\pi}{2})) - 1$

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What is a functional GI disorder with chronic intestinal symptoms that cannot be explained by structural or biochemical abnormalities.

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Verify that each x-value is a solution of $2 \cos^2(4x) - 1 = 0$ (a) $x = \frac{\pi}{16}$ $2 \cos^2 \left[4\left(\frac{\pi}{16}\right)\right] - 1 = 2 \cos^2$

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Replace the polar equation with an equivalent Cartesian equation. r cos \theta = 8 8y = 1 y = 8 8x = 1 x = 8

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Find a function $f$ for which the limit below represents the area under $f$ on the interval $[0, a]$. Here we assume the rectangles used have equal widths and right endpoints as sample points.\\ $\lim_{n \to \infty} \sum_{j=1}^{n} \frac{4n}{n^2 + j^2} = 1$

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12. If $z = r(\cos \theta - i \sin \theta)$, find $z^n$ for any integer $n$.

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I. Consider the following option strategy. Note: All options are European option. Long one put option with X-price $1.12/£ at a premium of $0.04 Short another put option with X-price $1.09/£ at a premium of $0.01 1. Plot the payoff chart of the option strategy above (35 points). 2. Mark all break-even points (lower break-even point and upper break-even point) (5 points). 3. Write up the maximum net profit and loss on the grid paper (5 points). 4. Name the above option strategy (5 points). II. Consider the following option strategy. Note: All options are European option. Short one call with X-price $1.06/£ at a premium of $0.05 Long two calls with X-price $1.09/£ at a premium of $0.02 each Short one call with X-price $1.12/£ at a premium of $0.01 1. Plot the payoff chart of the option strategy above (35 points). 2. Mark all break-even points (lower break-even point and upper break-even point) (5 points). 3. Write up the maximum net profit and loss on the grid paper (5 points). 4. Name the above option strategy (5 points).

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Consider an undirected graph of 10 nodes named 0 through 9, arranged in a line, as 0-1-2-3-4-5-6-7-8-9. That is, there is an edge i, i+1 for i=0,1,...,8, and no other edges. Apply the Girvan-Newman algorithm to answer the following questions. 1. (3 points) What is the maximum betweenness of any edge? 2. (1 point) Which edge(s) has/have this betweenness? 3. (3 points) What is the minimum betweenness of any edge? 4. (1 point) Which edge(s) has/have this betweenness? 5. (2 points) Now, consider another graph with 10 nodes O,1,...,9. This graph is a complete graph, i.e., there is an edge between every pair of nodes. What is the betweenness of the edge 3,7?

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eric b.