PROBLEM SET # 1 Instructions: 1) Open book‚ open notes limited to only class materials. 2) Unlimited time. 3) This must be reflective of your individual effort. GMU Honor Code applies. 4) The Problem Set #1 (only the question solutions portion) is due at the end of the day on September 24th. 5) Show all work‚ as partial credit will be given for each question’s answer. Organize your work so it is easy to follow. You can use word‚ power point‚ excel or combinations
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Problem Set 1 1. (Star Wars) Real GDP = 461.0(214.5/60.6) = 1‚631.76 (E.T.) Real GDP = 399.9(214.5/96.5) = 888.90 (Titanic) Real GDP = 600.8(214.5/160.5) = 802.94 (Shrek 2) Real GDP = 437.2(214.5/188.9) = 496.45 (Avatar) Real GDP = 760.5(214.5/214.5) = 760.5 Real GDP in Order of Largest to Smallest Movies Nominal Box Office Receipts (millions) CPI in Year Released Real Box Office Receipts (millions) Star Wars (1977) 461.0 60.6 1‚631.76 E.T. The Extra-Terrestrial (1982) 399.9 96.5 888.90 Titanic
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ZPH 123 Problem set Forces 1. Two 25.0-N weights are suspended at opposite ends of a rope that passes over a light‚ frictionless pulley. The pulley is attached to a chain that goes to the ceiling. a. What is the tension in the rope? b. What is the tension in the chain? 2. A stockroom worker pushes a box with mass 11.2 kg on a horizontal surface with constant speed of 3.50 m/s. The coefficient of kinetic friction between the box and the surface is 0.20. a. What horizontal force must be applied by
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Problem Set 4 1. What determines whether a financial asset is included in the M1 money supply? Why are interest-earning checkable deposits included in M1‚ whereas interest-earning savings accounts and Treasury bills are not? a. Any financial asset that can be easily changed into physical money is included in the M1 money supply. b. Because checkable deposits are easily changed into physical money‚ they are included in M1; however‚ savings accounts and Treasury bills cannot be‚ due to the fact that
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Problem Set 3 for Group 3 ZHAO XUAN 13103465D CHAN YUET CHING 13087084D ZHOU YONG MEI 13102452D Question 1 Exporting used batteries to Mexico Lead US High standard Mexico Weak law and control $0.05 per pound $0.42 per pound Business ethics the accepted principles of right or wrong gov erning the conduct of individuals engaged in business activities 1 (a) Are US companies that export used batteries to Mexico and follow local regulations in their acting in a socially and ethically
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the reasons for sampling. Give an example of each reason for sampling. 1. Contacting whole population is time consuming. If the population is California residents‚ it will take a long time to send everyone a survey and then process the results. 2. Contacting whole population is costly. Same example of California residents‚ it will be very costly to send by mail a survey to all residents and then process millions of responses. 3. Checking all population is physically impossible. If the population
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Problem Set 1 Name: Christen Brown Problem Set 1 is to be completed by 11:59 p.m. (ET) on Monday of Module/Week 2. 1. Based on the information provided for the market for video games‚ answer the following questions. PRICE Q DEMANDED Q SUPPLIED $50 5 9 $45 7 7 $40 9 5 $35 11 3 $30 13 1 a.) Draw and properly label the demand and supply graphs (this means you must label the axes and any lines you include on the graph). b.) What is the equilibrium price and quantity? a.) b.) PRICE: $45.00
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Text Problem Sets A1. (Bond valuation) A $1‚000 face value bond has a remaining maturity of 10 years and a required return of 9%. The bond’s coupon rate is 7.4%. What is the fair value of this bond? Number of years (N) = 10‚ future value (FV) = 1000‚ interest rate (I/YR) = 9 0.074 * 1000 = 74 = PMT or annual payment‚ I then pressed CPT on my financial calculator to compute the price of the bond and then pressed PV or present value. The fair value of the bond is $897.32. Using Cash Flow of
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CS578/STAT590: Introduction to Machine Learning Fall 2014 Problem Set 1 Joon Hee Choi Handed In: 09/14/2014 Review Questions 1. 2. 3. • ∂f ∂x = 6x − y − 11‚ ∂f ∂y • ∂f ∂x = 6x − y − 11 = 0‚ = 2y − x ∂f ∂y = 2y − x = 0 ⇒ x = 2‚ y = 1 ⇒ (x‚ y) = (2‚ 1) • (a) n = 2 w1 x1 and x = . Then‚ w2 x2 wT x + b = w1 x1 + w2 x2 + b = 0 ⇒ −x1b + Let w = w1 x2 − wb =1 2 (b) n = 3 w1 x1 Let w = w2 and x = x2 . Then‚ w3 x3 T w x + b = w1 x1 + w2 x2 + w3 x3 + b = 0 ⇒ −x1b + −x2b
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PROBLEM SET 4 1) Consider the following utility functions‚ where W is wealth: (a) U (W ) = W 2 1 (b) U (W ) = W (c) U (W ) = −W (d) U (W ) = W (e) U (W ) = ln(W ) (f) U (W ) = W 1−γ ‚ with γ = 2 1−γ How likely are each of these functions to represent actual investor preferences? Why? 2) Suppose investors have preference described by the following utility function with A > 0: U = E(r) − 1 Aσ 2 2 Each investor has to choose between three portfolios with the following characteristics:
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