Problem Set II Problem P9 17: Jack Hammer FV (Table 1) at 11% discount rate 2.00 x .901 = $1.80 2.20 x .802 = $1.79 2.40 x .731 = $1.75 33.00 x .731 = $24.12 -------- $29.46 Problem P9 - 22: Alternative Present Values: Your rich godfather has offered you a choice of one of the three following alternatives: $10‚000 now; $2‚000 a year for eight years; or $24‚000 at the end of eight years. Solution: (first alternative)
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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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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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BE 13.8 Vertical analysis (common-size) percentages for Vallejo Company’s sales‚ cost of goods sold‚ and expenses are listed below: VERTICAL ANALYSIS 2012 2011 2010 Sales 100.0% 100.0% 100.0% Cost of goods sold 60.5 62.9 64.8 Expenses 26.0 26.6 27.5 Net Income 13.5 10.5 7.7 Did Vallejo’s net income as a percent of sales increase‚ decrease‚ or remain unchanged over the 3 year period. Provide numerical support for your answer. Sales – Cost of Goods Sold – Expenses = Net Income 100 – 64.8
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Simulation ECO/365 Simulation The supply and demand factors are essential to the work of economics. The use of these demand curves help businesses to maximize profits and the supply curve depicts the best price for the most product. These statistics are shown on a graph‚ which changes according to the supply and demand in a particular market (Colander‚ 2010). This simulation is an example of Good life property apartment rental supply and demand. This paper will discuss two microeconomics
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Name: _______________________ Team: _______________________ AP Macro Problem Set #2 Unit 2: Measurement of Economic Performance 1. (_____/15) Article Analysis Read each of these current articles and identify three different concepts we learned that are mentioned. Define and summarize what is being said for each concept that you identify. a. GDP Article (_____/5) b. Unemployment Article (_____/5) c. Inflation Article (_____/5) 2. ( ____/15 Points) Gross Domestic Product a. Define GDP‚ identify what is not included
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ECONOMETRICS: PS5 PROBLEM SET 5: ESTIMATION PROBLEMS 1 We have the following variables: Y: Food expenditure in USA. X: Family income. P: Price index. Two different regressions are estimated with the following estimation results (standard errors are in brackets): Coefficient for Regression X Y/P Y / X; P 0.112 (0.003) Coefficient for P 2.462 (0.407) -0.739 (0.114) Determination coefficient 0.614 0.978 Assuming that the true equation for Y includes both X and
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Marked Problem Set 2 - Solution Notes 1. First‚ compute the correlation coefficient between assets A and B ρ(RA ‚ RB ) = Cov (RA ‚ RB ) −0.0322 = = −1. σ (RA )σ (RB ) 0.14 × 0.23 The assets are perfectly negatively correlated. Consider portfolio P formed from assets A and B such that you invest α fraction of your wealth into A and (1 − α) fraction into B. The variance of such portfolio is σ (RP )2 = = = = α2 σ (RA )2 + (1 − α)2 σ (RB )2 + 2α(1 − α)Cov (RA ‚ RB ) α2 σ (RA )2 + (1
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ECSE 443- introduction to Numerical Methods in EE Practice Problem Set – Chapter 4 (Note: This problem set is for extra practice. It is not for credit‚ and not to be handed in) Question 1: Suppose that in a study‚ several measurements were made to determine a particular quantity for different values of . The collected data are summarized in the following table: 1.0000 5.8823 1.5000 2.0000 2.5000 3.0000 3.5000 4.0000 4.5000 5.0000 5.5000 6.0000 8.8823 17.8821 11.8822 14.8826 26.8825 24.8822
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PROBLEM SET 3 Name: ________________________________________ Problem Set 3 is to be completed by 11:59 p.m. (ET) on Monday of Module/Week 6. 1. Data for the market for graham crackers is shown below. Calculate the elasticity of demand between the following prices. Price of crackers Quantity Demanded (per month) $3 80 $2.5 120 $2 160 $1.5 200 $1 240 $1.00 - $1.50: ___________________________________ $1.50 - $2.00: ___________________________________ $2.00 - $2.50: ___________________________________
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