Prof. Gustavo Indart Department of Economics University of Toronto ECO 100Y INTRODUCTION TO ECONOMICS Problem Set 1 1. Labour is the only resource in an economy with the following maximum production possibilities. (The graph is drawn as a curve rather than points under the assumption that opportunity cost is constant between options.) Option 1 2 3 4 a) b) c) d) e) f) Clothes (Tons) 50 40 20 0 Food (Tons) 0 30 70 100 What is the opportunity cost of increasing Clothes production from 20 to 40
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MIT Sloan Finance Problems and Solutions Collection Finance Theory I Part 1 Andrew W. Lo and Jiang Wang Fall 2008 (For Course Use Only. All Rights Reserved.) Acknowledgements The problems in this collection are drawn from problem sets and exams used in Finance Theory I at Sloan over the years. They are created by many instructors of the course‚ including (but not limited to) Utpal Bhattacharya‚ Leonid Kogan‚ Gustavo Manso‚ Stew Myers‚ Anna Pavlova‚ Dimitri Vayanos and Jiang Wang. Contents 1
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Chapter 9‚ Problem 17 Jack Hammer invests in a stock that will pay dividends of $2.00 at the end of the first year; $2.20 at the end of the second year; and $2.40 at the end of the third year. Also‚ he believes that at the end of the third year he will be able to sell the stock for $33. What is the present value of all future benefits if a discount rate of 11 percent is applied? (Round all values to two places to the right of the decimal point.) Present value of a single amount PV = FV x PVIF
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UNIVERSITY OF TORONTO Joseph L. Rotman School of Management RSM332 PROBLEM SET #2 SOLUTIONS 1. (a) Expected returns are: E[RA ] = 0.3 × 0.07 + 0.4 × 0.06 + 0.3 × (−0.08) = 0.021 = 2.1%‚ E[RB ] = 0.3 × 0.14 + 0.4 × (−0.04) + 0.3 × 0.08 = 0.05 = 5%. Variances are: 2 σA = 0.3 × (0.07)2 + 0.4 × (0.06)2 + 0.3 × (0.08)2 − (0.021)2 = 0.004389‚ 2 σB = 0.3 × (0.14)2 + 0.4 × (0.04)2 + 0.3 × (0.08)2 − (0.05)2 = 0.00594. Standard deviations are: √ 0.004389 = 6.625%‚ σA = √ 0.00594 =
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1. a. Power– kilowatt‚ b. Area – acres‚ c. Application Rate – in/hr‚ d. Pressure – head‚ e. Depth – inches‚ f. Length – miles‚ g. Velocity – ft/sec‚ h. Volume – ac-in‚ i. Flow Rate – cu-ft/sec 2. Statements (1) and (2) refer to water volumes. Are these Net or Gross volumes? (1) Crop water use (cu-ft) = Seasonal ET (ft) x Crop area (acres) x 43‚560 sq-ft/acre (2) Volume applied by system (ac-in) = Application rate (in/hr) x Irrigation time (hr) x Area (acres)
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Test Version A SEMESTER I EXAMINATIONS Mid-Term Assessment ECON 30110 Microeconomics II Time Allowed: 50 minutes Instructions for Candidates This exam counts for 30% of the Module Grade. All questions carry equal marks. Note there is NO negative marking Correct answer is worth 1 mark. No answer or more than one answer‚ will both receive a 0 mark. Incorrect answer will receive a 0 mark. Attempt all 20 questions. Shade in the box in the appropriate space with
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1 1 2 3 C Motion I 7 (a) From 1 January 2009 to 10 January 2009‚ the watch runs slower than the actual time by 9 minutes. Therefore‚ when the actual time is 2:00 pm on 10 January 2009‚ the time shown on the watch should be 1:51 pm on 10 January 2009. Practice 1.1 (p. 6) D (a) Possible percentage error 10 −6 = × 100% 24 × 3600 = 1.16 × 10 % 1 (b) = 1 000 000 days 10 −6 –9 It would take 1 000 000 days to be in error by 1 s. (b) Percentage error 9 = × 100% 9 × 24 × 60 = 6.94 × 10–2%
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Microeconomics Homework Problem 1: C(Q) = 100 + 20Q + 15Q^2 + 10Q^3 a) Fixed Cost (doesn’t change depending on output produced) = 100 b) Variable Cost of producing Q = 10 units: 20*10 + 15*10^2 + 10*10^3 = 200 + 1‚500 + 10‚000 = 11‚700 c) Total Cost of producing Q = 10 units: C(10) = 100 + 20*10 + 15*10^2 + 10*10^3 = 11‚800 Alternatively‚ we have Total Costs of Producing Q=10 units = Fixed Costs + Variable Costs of producing Q = 10 units = 100 + 11‚700 = 11‚800 d)
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[pic] Contents |PART I PLANET EARTH | |Chapter 1 Fundamentals of chemistry | | |The scientific method |1 | |Kinetic theory of matter
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Seminar 2 Topics Covered: Heckscher-Ohlin Model Part I and II 1. This exercise uses the Heckscher-Ohlin model to predict the direction of trade. Consider the production of hand-made rugs and assembly line robots in Canada and India. Problem 1 Answer a) Which country would you expect to be relatively labor-abundant? Capital-abundant? Why? Labor-abundant: India. Capital-abundant: Canada b) Which industry would you expect to be relatively labor-intensive? Capital-intensive? Why? Handmade
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