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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Comprehensive Problem 67 (Ch. 5) Ken is 63 years old and unmarried. He retired at age 55 when he sold his business‚ Understock.com. Though Ken is retired‚ he is still very active. Ken reported the following financial information this year. Assume Ken’s modified adjusted gross income for purposes of the bond interest exclusion and for determining the taxability of his Social Security benefits is $70‚000 and that Ken files as a single taxpayer. Determine Ken’s 2009 gross income. a. Ken won $1
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Problem Set – June 11th 1. How does our spatial representation of time constitute an element of consciousness? Jaynes outlines six essential features to consciousness in modern humans. The first is spatialization. This describes the ability to metaphorically construct abstract concepts in a spatial map. For example‚ think about human history from about 1000 AD to today. How did you conceive of this concept? Did you see a timeline running left to right‚ with bullet points for the Norman Conquest
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Case Problem 3: Hart Venture Capital 1. Let S = fraction of the Security Systems project funded by HVC M = fraction of the Market Analysis project funded by HVC Max 1‚800‚000S + 1‚600‚000M s.t. 600‚000S + 500‚000M ≤ 800‚000 Year 1 600‚000S + 350‚000M ≤ 700‚000 Year 2 250‚000S + 400‚000M ≤ 500‚000 Year 3 S
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Homework Problem Set 4 1. Because Q=12-2P inverse demand P = -0.5 Q+6 For “half price” case‚ P = 2.5‚ Q=7 consumer surplus = 7*(6-2.5)/2 = 12.25 For “buy one‚ get one free” case‚ when original P = 5‚ Q = 4 instead of 2‚ total benefit TB = (4+6)*4/2 = 20 On the other hand‚ payment is 2*5=10 dollars‚ so consumer surplus will be = 10 Thus “half price” gives more surplus. 2. cost minimizing manner‚ marginal product of typewriter/marginal product of word processor=rent of typewriter/rent
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credit sales made during preceding month† ............................................... Total cash receipts ............................... *10% of current month’s credit sales. †90% of previous month’s credit sales. INTERCOASTAL ELECTRONICS 3. Purchases budget: 2011 December Budgeted cost of goods sold.................. Add: Desired ending inventory ........ Total goods needed ........................ Less: Expected beginning inventory..................... Purchases ..................
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Principles of MacroEconomics: 101 Problem Set #3: Answer Key 1. Explain each of the following: (a) the wealth effect‚ (b) interest rate effect‚ and (c) international trade effect. The real balance effect states that the inverse relationship is established through changes in the value of monetary wealth. As the price level changes‚ the purchasing power of monetary wealth changes‚ causing the quantity demanded of Real GDP to change. The interest rate effect states
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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 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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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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