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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INTERCOASTAL ELECTRONICS BUDGETING PROCESS 1. Sales budget: 2011 December $400‚000 100‚000 300‚000 January $440‚000 110‚000 330‚000 February $484‚000 121‚000 363‚000 2012 March $532‚400 133‚100 399‚300 First Quarter $1‚456‚400 364‚100 1‚092‚300 Total sales........................ Cash sales* ...................... Sales on account† ........... *25% of total sales. †75% of total sales. 2. Cash receipts budget: 2012 January $110‚000 33‚000 270‚000 $413‚000 February $121‚000 36‚300 297‚000 $454
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Lillian Flloyd Economics 214-D16 March 27‚ 2013 Liberty University Bulls‚ Bear‚ and Golden Calves Chapter Two: Me‚ Myself‚ and Why 1. What is the difference between self-interest and selfishness? Why is this distinction important when considering the competitive market economy as appropriate for society? Self-interest is looking out for your best interest and finding the best possible alternatives that will benefit yourself in the business world. Selfishness is putting
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Chapter 17‚ Problem B1 A. To remain comfortably within the ‘A’ range‚ the firm should avoid the lower of each scale. Fixed Charge Coverage = 3.40 – 4.30 (Scale 3.00 – 4.30) Total Debt = 55 – 65 (45 - 65) Long-Term Debt = 25 – 32 (22 – 32) B. Other factors to consider include net present value (NPV)‚ foreign tax credits‚ and the price of stock. C. Bixton must resolve the research and development‚ and foreign tax credits. The target ranges listed are suitable only for a debt shield. Lenders
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Do Socs and greasers both have similar problems or struggles? Socs are rich kids who can do whatever they want like drink and get in fights. Greasers are poor kids who get in fights‚ steal things‚ are in gangs‚ and smoke sometimes drink. Both have their ups and downs and do have struggles even when they don’t they do. In the following‚ you will read about the struggles and problems Socs and greasers have and how they suffer or will suffer from the problems or struggles they had or will have.
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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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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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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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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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the value of the population mean? What is the best estimate of this value? The value of population mean is unknown. The best estimate of this value is the sample mean of 60 pounds. b. Explain why we need to use the t distribution. What assumption do you need to make? According to Lind‚ et al. (2005)‚ when population standard deviation is unknown‚ and the sample is smaller than 30‚ a t distribution should be used. We need to assume that the sample is from a normal population (pp. 291-293). c
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