ECON0301/ECON2252 Theory of International Trade Problem Set 1 Due time: 5pm September 26‚ 2014 (Friday) Answer all of the following questions. While I encourage you to discuss with your classmates‚ you have to write up your own script. Please hand it in to your TA (Miss Jiuqi Zhao) by the due time via her pageon box on the 9th ‡oor of K.K. Leung Building. 1. Suppose that Home and Foreign have the marginal product of labor shown below. Home Foreign Baseball bats 1/6 1 tennis rackets 1/2 1/4 (a) What is
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Problem Set 1 Problem 1 Which project should the firm select? Why? Project B: Managers should try to maximize their stock’s intrinsic value while also bringing in revenue. The P/E ratio shows the dollar amount investors will pay for $1 of current earnings. Problem 2 If most investors expect the same cash flows from Companies A and B but are more confident that A’s cash flows will be closer to their expected value‚ which company should have the higher stock price? Explain. The primary
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A-3 (Coverage ratio) The firm in the two preceding problems also had $6 million of principal repayments during the latest 12 months. Its marginal tax rate is 40%. Calculate the debt service coverage ratio. Debt-Service Coverage Ratio = (EBIT + 1/3 Rentals) / (Interest Expense + 1/3 Rentals + Principal Repayments / (1 - T)) = ($30 + $15 / 3) / ($10 + $15 / 3 + $6 / (1 - 0.40)) = 1.40 A-4 (WACC with rebalancing) Nathan’s Catering is a gourmet catering service located in Southampton‚ New York
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1Problem Set 5 Complete all questions listed below. Clearly label your answers. 1. What impact will an unanticipated increase in the money supply have on the real interest rate‚ real output‚ and employment in the short run? How will expansionary monetary policy affect these factors in the long run? Explain. “In the short run‚ shifts in monetary policy exert an impact on real output and employment. A shift to a more restrictive policy will tend to reduce real output and employment‚ while
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Problem Set 3 1. Louise McIntyre’s monthly gross income is $2‚000. Her employer withholds $400 in federal‚ state‚ and local income taxes and $160 in Social Security taxes per month. Louise contributes $80 per month for her IRA. Her monthly credit payments for VISA‚ MasterCard‚ and Discover card are $35‚ $30‚ and $20‚ respectively. Her monthly payment on an automobile loan is $285. What is Louise’s debt payments-to-income ratio? Is Louise living within her means? Louise’s Gross Income | =
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Problem Set 2 Complete all questions listed below. Clearly label your answers 1. What impact would a change that shifts an economy’s production possibilities curve outward have on the long run aggregate supply curve? How have improvements in computer technology affected production possibilities and the long run aggregate supply curve? Explain Answer: Growth of population and the labor-force participation rate Capital accumulation Improvements in technology 2
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Calculate the budgeted cost of trophies and plaques if Tarquin allocated overhead costs in each department using activity-based costing. 4. Explain how the disaggregation of information could improve or reduce decision quality. Problem E 1 Overhead rate = Total overhead 56‚346 0.712113744 71.211% Total Direct costs $79‚125 Tarquin’s Trophies Budgeted Information For the Year Ended November 30‚ 2011 Forming Department Trophies Plaques Total Direct materials
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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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Exercises and Problems - Week 6 XACC/291 12/21/2014 Exercises and Problems - Week 6 Before After After Action Dividend Stock Split Stock holders’ equity Paid in capital Common stock‚ $10 par $ 600‚000 $630‚000 $600‚000 Paid in capital in excess par value $0. $12‚000 0 Total paid in capital $600‚000 $642‚000 $600‚000 Return earnings $900‚000 $858‚000 $900‚000 Total stock holders’ equity
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