FIN532M: Financial Derivatives Problem Set 2 DUE DATE: Feb. 12‚ 2015 1. How can you differentiate the forward price from the value of a forward contract? (2 points) 2. Explain why an FRA can be viewed as an exchange of a floating rate of interest for a fixed rate of interest payments and how you can use FRA in mitigating risks. (4 points) 3. The standard deviation of monthly changes in the spot price of live cattle is 1.2 cents per pound. The standard deviation of monthly changes in the futures
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Biology 180 Problem Set 2 1. A population of marine gastropods has shell lengths that are normally distributed with a mean μ = 8 mm and variance σ2 = 2.15 mm2. a. what proportion of the population will have shell lengths between 6.5 mm and 8.5 mm? (3 points) b. what is the probability of finding a gastropod that has a shell length of exactly 7.5 mm? (1 point) c. if there are 1‚000 gastropods in an area‚ how many will have shell lengths greater than 5 mm? (3 points) 2. Childhood lead poisoning
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U(x‚y) = x11/2x21/2 L (x1‚x2‚λ) = x11/2x21/2 + λ (I – px1x1 – px2x2) ɗL/ɗx1 = (1/2)x1-1/2 x21/2 – λpx1 = 0 ɗL/ɗx2 = (1/2)x11/2 x2-1/2 –λpx2 = 0 ɗL/ɗλ = I – px1x1 – px2x2= 0 => px1/px2 = x2/x1 => x1 = (px2x2) / px1. Put this in the budget constraint: I = px1(px2x2) / px1 + px2x2 => x2* = I / 2px2 Using the same way to find the demand function of good 1‚ we obtain: x1* = I / 2px1 b) x1* = 24 / (2∙1) = 12 x2* = 24 / (2∙2) = 6 c) x1* = 24 / (2∙1) = 12 x2* = 24 / (2∙3) = 4 d) Substitution
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Me1 Problem Set #2 The US College Enrollment and the “Third Law of Demand” A theorem proposed by Professors Alchian and Allen in their text‚ University Economics (1964) has had several rebirths of interest in the literature. The so-called “third law of demand‚” or “relative price theorem‚” holds that a fixed cost added to a good of varying quality causes the consumer to prefer the category considered of higher quality to the lower. Recently a number of studies‚ keeping this theorem in mind have
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Math – 213 Problem Set Solve each of the following problems. 1. A coin is tossed four times. What is the probability that at least 2 heads will occur? 2. A pair of dice is rolled. What is the probability that the sum is equal to the following? a. 5 b. 10 c. at most 9 d. at least 8 3. A chip is drawn at random from a jar containing 8 red‚ 2 blue‚ 3 green‚ 4 yellow‚ and 3 white chips. Determine the probability that it is: a. Red b. Yellow or red c. Not orange 4. In a graduating class of 300 students
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potential energy. What is the mass of the man? Given: Formula: h = 5 m m = PE/gh PE = 2200 J Solution: m = 2200 J / (9.8 m/s2 x 5 m) m = 49 kg 2. Calculate the kinetic energy of a 500 kg car travelling at 50 m/s. Given: Formula: m = 500 kg KE = mv2/2 v = 50 m/s Solution: KE = 500 kg x (50 m/s)2 / 2 KE = 625 000 J Power 3. Riley climbs a flight of stairs in 3 minutes. If he weighs 700 N and the stairs is 20 m from the ground‚ how much power will she develop
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ECE 302 Problem Set 9 Fall 2013 The following problems have been selected from the course text. 4.78 In a large collection of wires‚ the length of a wire is X‚ an exponential random variable with mean 5π cm. Each wire is cut to make rings of diameter 1 cm. Find the probability mass function for the number of complete rings produced by each length of wire. 4.85 The exam grades in a certain class have a Gaussian pdf with mean m and standard deviation σ. Find the constants a and b so that
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GENERAL BIOCHEMISTRY Problem Set No. 1 Answered by: Andrea Rose A. Fajardo of BSFT 2-1N 1. Calculate the pH of a dilute solution that contains a molar ratio of potassium acetate to acetic acid (pKa=4.76) of: a. 2:1 pH = 4.76 + log[2]/[1] = 4.76 + 0.3010 = 5.06 b. 1:4 pH = 4.76 + log[1]/[4] = 4.76 + (-0.6021) = 4.16 c. 6:5 pH = 4.76 + log[6]/[5] = 4.76 + 0.0792
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32.00 Net income $ 48.00 a. $81.23 b. $85.50 c. $90.00 EBIT $150.00 d. $94.50 Tax Rate 40% e. $99.23 NOPAT=$90.0 2. Tibbs Inc. had the following data for the year ending 12/31/07: Net income = $300; Net operating profit after taxes (NOPAT) = $400; Total assets = $2‚500; Short-term investments = $200; Stockholders’ equity = $1‚800; Total debt = $700; and Total operating
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Problem Set II Problem P9 17: Jack Hammer FV (Table 1) at 11% discount rate 2.00 x .901 = $1.80 2.20 x .802 = $1.79 2.40 x .731 = $1.75 33.00 x .731 = $24.12 -------- $29.46 Problem P9 - 22: Alternative Present Values: Your rich godfather has offered you a choice of one of the three following alternatives: $10‚000 now; $2‚000 a year for eight years; or $24‚000 at the end of eight years. Solution: (first alternative)
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