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)
Premium Net present value Stock market Investment
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 =
Premium Interest Variance Standard deviation
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
Premium Net present value Investment Stock market
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
Premium Revenue Generally Accepted Accounting Principles
MAT 540 Quiz 4 1.___________is maximized in the objective function by subtracting cost from revenue Profit Revenue Cost Productivity 2. In a media selection problem‚ instead of having an objective of maximizing profit or minimizing cost‚ generally the objective is to maximize the audience exposure True False 3. Media selection is an important decision that advertisers have to make. In most media selection decisions‚ the objective of the decision maker is to minimize cost. True False 4. The
Free Linear programming Operations research Optimization
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
Premium Inflation Unemployment
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
Premium Regression analysis Linear regression Statistics
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
Premium Variance Standard deviation Investment
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
Premium Interpolation Polynomial Regression analysis
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: ___________________________________
Premium Economics