1. If the opportunity cost of capital is 14 percent, what is the net present value of the factory?


 Blake Washington
 3 years ago
 Views:
Transcription
1 MØA Fall 2011 PROBLEM SET: Hand in 1 Exercise 1. An investor buys a share for $100 and sells it five years later, at the end of the year, at the price of $ Each year the stock pays dividends of $12 per share. The annual average rate of inflation is 2%. What is the average effective real return on the investment? % % % % 5. I choose not to answer. Exercise 2. NPV (BM 3.4) [2] A factory costs $800,000. You reckon that it will produce an inflow after operating costs of $170,000 a year for 10 years. 1. If the opportunity cost of capital is 14 percent, what is the net present value of the factory? 2. What will the factory be worth at the end of 5 years? Exercise 3. House Sale (RWJ 4.7) [3] You are selling your house. The Smiths have offered you $115,000. They will pay you immediately. The Joneses have offered you $150,000, but they cannot pay you until three years from today. The prevailing interest rate is 10%. 1. Which offer should you choose? Exercise 4. Projects [3] A project costs 100 today. The project has positive cash flows of 100 in years one and two. At the end of the life of the project there are large environmental costs resulting in a negative cash flow in year 3 of 95. Determine the internal rate(s) of return for the project. Exercise 5. Machine [4] A company is considering its options for a machine to use in production. At a cost of 47 they can make some small repairs on their current machine which will make it last for 2 more years. At a higher cost of 90 they can make some more extensive repairs on their current machine which will make it last for 4 more years. A new machine costs 300 and will last for 8 years. The company is facing an interest rate of 10%. Determine the best action. Exercise 6. Q [2] Equity in the company Q has an expected return of 12%, a beta of 1.4 and a standard deviation of 20%. The current risk free interest is 10%. 1. What is the current expected market return? Exercise 7. You are considering paying 2 million NOK to buy a new house. You expect to sell your old house for 800 thousand, and need to finance the remainder by borrowing. The bank quotes you a 30 year loan with an 1
2 interest rate of 6% to be paid as a monthly annuity, i.e. in monthly installments of equal size. The first amount is due at the end of the first month. Interest is calculated using monthly compounding. What is the amount you will be paying each month? (a) NOK 6,982 (b) NOK 7,159 (c) NOK 7,195 (d) NOK 11,990 (e) I choose not to answer. Exercise 8. A corporation s Annual Report contains the following information: Sales: 2,000,000 kr. Variable costs: 850,000 kr. Overhead costs: 395,000 kr. Depreciation: 248,000 kr. Corporate tax rate: 34% Calculate the corporation s aftertax cash flows ,620 kr ,620 kr ,000 kr ,620 kr. 5. I choose not to answer. Exercise 9. Lucky Pierre [5] HiTech industries is involved in genetic research. It has enjoyed the astounding dividend growth rate of 25% recently. Next period s dividend is expected to be $20 and the current share price is $ Your stockbroker, Lucky Pierre, believes that the stock is underpriced. He tells you that it has an expected return of 35% per year, but once Wall Street sees its mistake, the stock price will shoot up. What assumptions did Pierre make to reach his conclusion? 2. If Pierre is correct (and the expected return is 35%), what is the expected stock price next period? 3. You, having taken a course in Finance, do not really trust Pierre s work (remember, he gets paid on a commission basis.) You feel that the dividend growth will slow down after 1 more year of 25% to a modest 10% per year. What are the expected dividend payments for the firm for the next three years? 4. Suppose you expect the stock return to be 20% once the growth rate slows down to 10% (after next year). What will the expected stock price be in year 1? What is the current expected return on the stock this year? Exercise 10. [3] A bond promises the following sequence of payments: t = Cashflow X t =
3 The interest rates r t and prices d t of future risk free cash flows are as follows Interest rates are compounded annually. 1. Calculate the bond s price Exercise 11. Bond [4] t = r t = 5.3% 5.4% 5.6% 5.7% d t = The appropriate discount rate for cash flows received one year from now is 7.5%. The appropriate discount rate for cash flows received two years from now is 11%. The appropriate discount rate for cash flows received three years from now is 14%. Interest rates are compounded annually. 1. What is the price of a two year bond with a 6% (annual) coupon and a face value of 1000? 2. What is the yield to maturity of this bond? Exercise 12. [4] A 3 year bond with a face value of $100 makes annual coupon payments of 10%. The current interest rate (with annual compounding) is 9%. 1. Find the bond s current price. 2. Suppose the interest rate changes to 10%, determine the new price of the bond by direct calculation. 3. Instead of direct calculation, use duration to estimate the new price and compare it to the correct price. 4. Use convexity to improve on your estimation using duration. Exercise 13. Compounding [2] A bank quotes an interest rate of 10% with quarterly compounding. 1. What is the equivalent interest rate with continous compounding? Exercise 14. Doubling [2] How long does it take to double a $100 initial investment when investing at a 5% continously compounded interest rate? Exercise 15. Hilda Hornbill (BM 8.7) Hilda Hornbill has invested 60% of her money in share A and the remainder in share B. She assesses the prospects as follows. A B Expected return 15% 20% Standard deviation 20% 22% Correlation between returns What is the expected return and standard deviation of returns on her portfolio? 2. How would your answer be changed if the correlation coefficient were 0 or 0.5? 3. Is Ms. Hornbill s portfolio better or worse than one invested entirely in share A or is it not possible to say? 3
4 Empirical Solutions MØA Fall 2011 PROBLEM SET: Hand in 1 Exercise 1. The return r n on the five year investment in nominal terms: The IRR is: r n = 15%. 0 = In real terms, the exact calculation is It is an approximation only to estimate The correct answer is 3, 12.75% Exercise 2. NPV (BM 3.4) [2] 1. All numbers are in thousands: 12 (1 + r n ) + 12 (1 + r n ) (1 + r n ) (1 + r n ) 4 (1 + r n ) 2 r = 1 + r n 1 + i 1 = = = 12.75% 1.02 r r n i = = 0.13 PV of annuity = = NP V = = After 5 years, the value of is equal the PV of getting $170 per year for 5 years: Exercise 3. House Sale (RWJ 4.7) [3] = You need to compare the present values of the two offers. The PV of the Smiths offer is $115,000. The PV of the Joneses is: P V = = 112, 697 (1 + r) 3 Thus, the Smiths offer the best terms (highest PV), accept their offer. Exercise 4. Projects [3] The following picture shows the NPV as a function of the interest rate, and illustrates the fact that there are two solutions y to the problem of solving 0 = y (1 + y) (1 + y) 3 4
5 NPV Exercise 5. Machine [4] interest One way to go about this is to find the net present value of each alternative by repeating each to make it last 8 years. Small repairs Larger repairs NP V = 47 + The cheapest is the small repairs. Exercise 6. Q [2] Exercise 7. t = C t = ( ) ( ) ( ) 6 = t = C t = NP V = 90 + E[r m ] = E[r] r f β Annuity factor(r=0.005 n=360) = Amount = 1.2 mill / = (c) is correct Exercise ( ) 4 = E[r] = r f + (E[r m ] r f )β + r f = = 11.4% ( )(1 0.34) =
6 (Numbers in thousands) 1. is the correct answer Exercise 9. Lucky Pierre [5] 1. He has used the constant dividend growth assumption. P 0 = D 1 r g = 20 r 0.25 = 200 r 0.25 = = 0.10 r = P 0 = D 1 + P r P 1 = P 0 (1 + r) D 1 = = 250 D 1 = 20 (given) D 2 = = 22 D 3 = 20 (1.1) 2 = 24.2 D t = 20 (1.1) t 1 P 1 = D 2 r g = = 200 P 0 = P 1 + D = = r r 1 200(1 + r) = 240 r 1 = 40 = 0.20 = 20% 200 Exercise 10. [3] 1. 4 Bond Price = P t X t = = 115 t=1 Exercise 11. Bond [4] 1. Price P 0 = (1.11) 2 = Yield to maturity is found by calculating the IRR of the following cashflows The YTM is 10.89%. t = C t = IRR =
7 Exercise 12. [4] 1. The bond price: NP V = 0 + t = C t = ( ) ( ) ( ) 3 = If the interest rate increases to 10%, the bond will be selling at par, equal to 100, which can be confirmed with direct computation: NP V = Calculate the bond s duration: 10 ( ) ( ) ( ) 3 = 100 t C t P V (C t ) tp V (C t ) Sum Bondprice Duration 2.74 Modified duration: D = D 1 + r = = 2.51 Let us now calculate the change in the bond price P P = D y = = Which means theat the bond price changes to: ( ) P P + δp = P = = P 4. Calculate the bond s convexity t C t P V (C t ) P V (C t )(t 2 + t) Sum Bondprice Convexity 8.93 Recalculating the change in the bond price using convexity: P P = D y (Convexity) = (0.01)2 = = Use this to reestimate the bond price: ( ( P P + δp = P ) ) P = ( ) =
8 Exercise 13. Compounding [2] 1. Equivalent annual rate Continous rate ( )4 1 = % ln(1 + r) = % Exercise 14. Doubling [2] It takes years Exercise 15. Hilda Hornbill (BM 8.7) e 0.05t = 2 t = ln 2.05 = A B ω E[ r] σ ρ AB E[ r p ] = ω A E[ r A ] + ω B E[ r B ] = 17% σ 2 ( r p ) = ωaσ 2 A 2 + ωbσ 2 B 2 +2ω A ω B σ A σ B ρ AB = ρ AB = ρ AB = σ p = = 18.08% 2. If ρ AB = 0, then σ 2 ( r p ) = ωaσ 2 A 2 + ωbσ 2 B 2 +2ω A ω B σ A σ B 0 = = σ( r p ) = 14.88%. If ρ AB = 1 2, then σ 2 ( r p ) = = σ( r p ) = 10.76% 8
9 3. The portfolio is better, since it has higher expected return and lower variance. 9
Final Exam MØA 155 Financial Economics Fall 2009 Permitted Material: Calculator
University of Stavanger (UiS) Stavanger Masters Program Final Exam MØA 155 Financial Economics Fall 2009 Permitted Material: Calculator The number in brackets is the weight for each problem. The weights
More informationYou just paid $350,000 for a policy that will pay you and your heirs $12,000 a year forever. What rate of return are you earning on this policy?
1 You estimate that you will have $24,500 in student loans by the time you graduate. The interest rate is 6.5%. If you want to have this debt paid in full within five years, how much must you pay each
More informationPractice Questions for Midterm II
Finance 333 Investments Practice Questions for Midterm II Winter 2004 Professor Yan 1. The market portfolio has a beta of a. 0. *b. 1. c. 1. d. 0.5. By definition, the beta of the market portfolio is
More informationMODULE: PRINCIPLES OF FINANCE
Programme: BSc (Hons) Financial Services with Law BSc (Hons) Accounting with Finance BSc (Hons) Banking and International Finance BSc (Hons) Management Cohort: BFSL/13/FT Aug BACF/13/PT Aug BACF/13/FT
More informationPrepared by: Dalia A. Marafi Version 2.0
Kuwait University College of Business Administration Department of Finance and Financial Institutions Using )Casio FC200V( for Fundamentals of Financial Management (220) Prepared by: Dalia A. Marafi Version
More informationHigher National Diploma in Business Administration Second Year, First Semester Examination 2014 BA 2113  Business Finance
[All Rights Reserved] SLIATE SRI LANKA INSTITUTE OF ADVANCED TECHNOLOGICAL EDUCATION (Established in the Ministry of Higher Education, vide in Act No. 29 of 1995) Higher National Diploma in Business Administration
More informationM.I.T. Spring 1999 Sloan School of Management 15.415. First Half Summary
M.I.T. Spring 1999 Sloan School of Management 15.415 First Half Summary Present Values Basic Idea: We should discount future cash flows. The appropriate discount rate is the opportunity cost of capital.
More informationFinding the Payment $20,000 = C[1 1 / 1.0066667 48 ] /.0066667 C = $488.26
Quick Quiz: Part 2 You know the payment amount for a loan and you want to know how much was borrowed. Do you compute a present value or a future value? You want to receive $5,000 per month in retirement.
More informationt = 1 2 3 1. Calculate the implied interest rates and graph the term structure of interest rates. t = 1 2 3 X t = 100 100 100 t = 1 2 3
MØA 155 PROBLEM SET: Summarizing Exercise 1. Present Value [3] You are given the following prices P t today for receiving risk free payments t periods from now. t = 1 2 3 P t = 0.95 0.9 0.85 1. Calculate
More informationFixed Income: Practice Problems with Solutions
Fixed Income: Practice Problems with Solutions Directions: Unless otherwise stated, assume semiannual payment on bonds.. A 6.0 percent bond matures in exactly 8 years and has a par value of 000 dollars.
More information( ) ( )( ) ( ) 2 ( ) 3. n n = 100 000 1+ 0.10 = 100 000 1.331 = 133100
Mariusz Próchniak Chair of Economics II Warsaw School of Economics CAPITAL BUDGETING Managerial Economics 1 2 1 Future value (FV) r annual interest rate B the amount of money held today Interest is compounded
More informationClick Here to Buy the Tutorial
FIN 534 Week 4 Quiz 3 (Str) Click Here to Buy the Tutorial http://www.tutorialoutlet.com/fin534/fin534week4quiz3 str/ For more course tutorials visit www.tutorialoutlet.com Which of the following
More informationSAMPLE FACT EXAM (You must score 70% to successfully clear FACT)
SAMPLE FACT EXAM (You must score 70% to successfully clear FACT) 1. What is the present value (PV) of $100,000 received five years from now, assuming the interest rate is 8% per year? a. $600,000.00 b.
More informationQ3: What is the quarterly equivalent of a continuous rate of 3%?
SESSION 1: Prerequisites: a reminder Time value of money, annuities Q1: You wish to buy a new house but would need to borrow part of the required amount. In view of your revenues you have been able to
More informationFinance 3130 Corporate Finiance Sample Final Exam Spring 2012
Finance 3130 Corporate Finiance Sample Final Exam Spring 2012 True/False Indicate whether the statement is true or falsewith A for true and B for false. 1. Interest paid by a corporation is a tax deduction
More informationChapter 6. Discounted Cash Flow Valuation. Key Concepts and Skills. Multiple Cash Flows Future Value Example 6.1. Answer 6.1
Chapter 6 Key Concepts and Skills Be able to compute: the future value of multiple cash flows the present value of multiple cash flows the future and present value of annuities Discounted Cash Flow Valuation
More informationBond Valuation. What is a bond?
Lecture: III 1 What is a bond? Bond Valuation When a corporation wishes to borrow money from the public on a longterm basis, it usually does so by issuing or selling debt securities called bonds. A bond
More informationCHAPTER 8 INTEREST RATES AND BOND VALUATION
CHAPTER 8 INTEREST RATES AND BOND VALUATION Solutions to Questions and Problems 1. The price of a pure discount (zero coupon) bond is the present value of the par value. Remember, even though there are
More informationSAMPLE MIDTERM QUESTIONS
SAMPLE MIDTERM QUESTIONS William L. Silber HOW TO PREPARE FOR THE MID TERM: 1. Study in a group 2. Review the concept questions in the Before and After book 3. When you review the questions listed below,
More informationInvestments Analysis
Investments Analysis Last 2 Lectures: Fixed Income Securities Bond Prices and Yields Term Structure of Interest Rates This Lecture (#7): Fixed Income Securities Term Structure of Interest Rates Interest
More informationMakeup Exam MØA 155 Financial Economics February 2010 Permitted Material: Calculator, Norwegian/English Dictionary
University of Stavanger (UiS) Stavanger Masters Program Makeup Exam MØA 155 Financial Economics February 2010 Permitted Material: Calculator, Norwegian/English Dictionary The number in brackets is the
More information] (3.3) ] (1 + r)t (3.4)
Present value = future value after t periods (3.1) (1 + r) t PV of perpetuity = C = cash payment (3.2) r interest rate Present value of tyear annuity = C [ 1 1 ] (3.3) r r(1 + r) t Future value of annuity
More informationCHAPTER 14 COST OF CAPITAL
CHAPTER 14 COST OF CAPITAL Answers to Concepts Review and Critical Thinking Questions 1. It is the minimum rate of return the firm must earn overall on its existing assets. If it earns more than this,
More informationCHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES
CHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES 1. Expectations hypothesis. The yields on longterm bonds are geometric averages of present and expected future short rates. An upward sloping curve is
More informationFinal Examination, BUS312, D1+ E1. SFU Student number:
Final Examination, BUS312, D1+ E1 NAME: SFU Student number: Instructions: For qualitative questions, point form is not an acceptable answer. For quantitative questions, an indication of how you arrived
More informationAmerican Options and Callable Bonds
American Options and Callable Bonds American Options Valuing an American Call on a Coupon Bond Valuing a Callable Bond Concepts and Buzzwords Interest Rate Sensitivity of a Callable Bond exercise policy
More informationCALCULATOR TUTORIAL. Because most students that use Understanding Healthcare Financial Management will be conducting time
CALCULATOR TUTORIAL INTRODUCTION Because most students that use Understanding Healthcare Financial Management will be conducting time value analyses on spreadsheets, most of the text discussion focuses
More informationSolutions to Practice Questions (Bonds)
Fuqua Business School Duke University FIN 350 Global Financial Management Solutions to Practice Questions (Bonds). These practice questions are a suplement to the problem sets, and are intended for those
More informationProblem Set: Annuities and Perpetuities (Solutions Below)
Problem Set: Annuities and Perpetuities (Solutions Below) 1. If you plan to save $300 annually for 10 years and the discount rate is 15%, what is the future value? 2. If you want to buy a boat in 6 years
More information1. What are the three types of business organizations? Define them
Written Exam Ticket 1 1. What is Finance? What do financial managers try to maximize, and what is their second objective? 2. How do you compare cash flows at different points in time? 3. Write the formulas
More informationMBA 8130 FOUNDATIONS OF CORPORATION FINANCE FINAL EXAM VERSION A
MBA 8130 FOUNDATIONS OF CORPORATION FINANCE FINAL EXAM VERSION A Fall Semester 2004 Name: Class: Day/Time/Instructor:. Read the following directions very carefully. Failure to follow these directions will
More informationHOW TO USE YOUR HP 12 C CALCULATOR
HOW TO USE YOUR HP 12 C CALCULATOR This document is designed to provide you with (1) the basics of how your HP 12C financial calculator operates, and (2) the typical keystrokes that will be required on
More informationINSTITUTE OF ACTUARIES OF INDIA
INSTITUTE OF ACTUARIES OF INDIA EXAMINATIONS 15 th November 2010 Subject CT1 Financial Mathematics Time allowed: Three Hours (15.00 18.00 Hrs) Total Marks: 100 INSTRUCTIONS TO THE CANDIDATES 1. Please
More informationFundamentals Level Skills Module, Paper F9. Section A. Monetary value of return = $3 10 x 1 197 = $3 71 Current share price = $3 71 $0 21 = $3 50
Answers Fundamentals Level Skills Module, Paper F9 Financial Management December 2014 Answers Section A 1 A Monetary value of return = $3 10 x 1 197 = $3 71 Current share price = $3 71 $0 21 = $3 50 2
More informationSolutions to Lectures on Corporate Finance, Second Edition. Peter Bossaerts and Bernt Arne Ødegaard
Solutions to Lectures on Corporate Finance, Second Edition Peter Bossaerts and Bernt Arne Ødegaard 2006 Contents 1 Finance 1 2 Axioms of modern corporate finance 2 3 On Value Additivity 3 4 On the Efficient
More informationExcel Financial Functions
Excel Financial Functions PV() Effect() Nominal() FV() PMT() Payment Amortization Table Payment Array Table NPer() Rate() NPV() IRR() MIRR() Yield() Price() Accrint() Future Value How much will your money
More informationBonds, Preferred Stock, and Common Stock
Bonds, Preferred Stock, and Common Stock I. Bonds 1. An investor has a required rate of return of 4% on a 1year discount bond with a $100 face value. What is the most the investor would pay for 2. An
More informationCHAPTER 8 INTEREST RATES AND BOND VALUATION
CHAPTER 8 INTEREST RATES AND BOND VALUATION Answers to Concept Questions 1. No. As interest rates fluctuate, the value of a Treasury security will fluctuate. Longterm Treasury securities have substantial
More information9. Time Value of Money 1: Present and Future Value
9. Time Value of Money 1: Present and Future Value Introduction The language of finance has unique terms and concepts that are based on mathematics. It is critical that you understand this language, because
More informationHP 12C Calculations. 2. If you are given the following set of cash flows and discount rates, can you calculate the PV? (pg.
HP 12C Calculations This handout has examples for calculations on the HP12C: 1. Present Value (PV) 2. Present Value with cash flows and discount rate constant over time 3. Present Value with uneven cash
More informationHANDBOOK: HOW TO USE YOUR TI BA II PLUS CALCULATOR
HANDBOOK: HOW TO USE YOUR TI BA II PLUS CALCULATOR This document is designed to provide you with (1) the basics of how your TI BA II Plus financial calculator operates, and (2) the typical keystrokes that
More informationMBA Finance PartTime Present Value
MBA Finance PartTime Present Value Professor Hugues Pirotte Spéder Solvay Business School Université Libre de Bruxelles Fall 2002 1 1 Present Value Objectives for this session : 1. Introduce present value
More informationFI 302, Business Finance Exam 2, Fall 2000 versions 1 & 8 KEYKEYKEYKEYKEYKEYKEYKEYKEYKEYKEYKEYKEY
FI 302, Business Finance Exam 2, Fall 2000 versions 1 & 8 KEYKEYKEYKEYKEYKEYKEYKEYKEYKEYKEYKEYKEY 1. (3 points) BS16 What is a 401k plan Most U.S. households single largest lifetime source of savings is
More informationMultiple Choice Questions (45%)
Multiple Choice Questions (45%) Choose the Correct Answer 1. The following information was taken from XYZ Company s accounting records for the year ended December 31, 2014: Increase in raw materials inventory
More informationCHAPTER 11 INTRODUCTION TO SECURITY VALUATION TRUE/FALSE QUESTIONS
1 CHAPTER 11 INTRODUCTION TO SECURITY VALUATION TRUE/FALSE QUESTIONS (f) 1 The three step valuation process consists of 1) analysis of alternative economies and markets, 2) analysis of alternative industries
More information3. If an individual investor buys or sells a currently owned stock through a broker, this is a primary market transaction.
Spring 2012 Finance 3130 Sample Exam 1A Questions for Review 1. The form of organization for a business is an important issue, as this decision has very significant effect on the income and wealth of the
More informationI. Readings and Suggested Practice Problems. II. Risks Associated with DefaultFree Bonds
Prof. Alex Shapiro Lecture Notes 13 Bond Portfolio Management I. Readings and Suggested Practice Problems II. Risks Associated with DefaultFree Bonds III. Duration: Details and Examples IV. Immunization
More informationBF 6701 : Financial Management Comprehensive Examination Guideline
BF 6701 : Financial Management Comprehensive Examination Guideline 1) There will be 5 essay questions and 5 calculation questions to be completed in 1hour exam. 2) The topics included in those essay and
More information1. The Purdue Life Insurance Company has two assets and two liabilities.
Chapter 9, Section 1 1. The Purdue Life Insurance Company has two assets and two liabilities. The assets are: a. A 5 year par value bond with a maturity value of 100,000. The bond pays annual coupons at
More informationHow to Calculate Present Values
How to Calculate Present Values Michael Frantz, 20100922 Present Value What is the Present Value The Present Value is the value today of tomorrow s cash flows. It is based on the fact that a Euro tomorrow
More informationDiscounted Cash Flow Valuation
6 Formulas Discounted Cash Flow Valuation McGrawHill/Irwin Copyright 2008 by The McGrawHill Companies, Inc. All rights reserved. Chapter Outline Future and Present Values of Multiple Cash Flows Valuing
More informationChapter 11. Bond Pricing  1. Bond Valuation: Part I. Several Assumptions: To simplify the analysis, we make the following assumptions.
Bond Pricing  1 Chapter 11 Several Assumptions: To simplify the analysis, we make the following assumptions. 1. The coupon payments are made every six months. 2. The next coupon payment for the bond is
More informationCHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES
Chapter  The Term Structure of Interest Rates CHAPTER : THE TERM STRUCTURE OF INTEREST RATES PROBLEM SETS.. In general, the forward rate can be viewed as the sum of the market s expectation of the future
More informationCHAPTER 15: THE TERM STRUCTURE OF INTEREST RATES
CHAPTER : THE TERM STRUCTURE OF INTEREST RATES CHAPTER : THE TERM STRUCTURE OF INTEREST RATES PROBLEM SETS.. In general, the forward rate can be viewed as the sum of the market s expectation of the future
More informationMathematics. Rosella Castellano. Rome, University of Tor Vergata
and Loans Mathematics Rome, University of Tor Vergata and Loans Future Value for Simple Interest Present Value for Simple Interest You deposit E. 1,000, called the principal or present value, into a savings
More informationCHAPTER 5 HOW TO VALUE STOCKS AND BONDS
CHAPTER 5 HOW TO VALUE STOCKS AND BONDS Answers to Concepts Review and Critical Thinking Questions 1. Bond issuers look at outstanding bonds of similar maturity and risk. The yields on such bonds are used
More informationAlliance Consulting BOND YIELDS & DURATION ANALYSIS. Bond Yields & Duration Analysis Page 1
BOND YIELDS & DURATION ANALYSIS Bond Yields & Duration Analysis Page 1 COMPUTING BOND YIELDS Sources of returns on bond investments The returns from investment in bonds come from the following: 1. Periodic
More informationA) 1.8% B) 1.9% C) 2.0% D) 2.1% E) 2.2%
1 Exam FM Questions Practice Exam 1 1. Consider the following yield curve: Year Spot Rate 1 5.5% 2 5.0% 3 5.0% 4 4.5% 5 4.0% Find the four year forward rate. A) 1.8% B) 1.9% C) 2.0% D) 2.1% E) 2.2% 2.
More informationCHAPTER 7: NPV AND CAPITAL BUDGETING
CHAPTER 7: NPV AND CAPITAL BUDGETING I. Introduction Assigned problems are 3, 7, 34, 36, and 41. Read Appendix A. The key to analyzing a new project is to think incrementally. We calculate the incremental
More information5. Time value of money
1 Simple interest 2 5. Time value of money With simple interest, the amount earned each period is always the same: i = rp o We will review some tools for discounting cash flows. where i = interest earned
More informationVALUATION OF FIXED INCOME SECURITIES. Presented By Sade Odunaiya Partner, Risk Management Alliance Consulting
VALUATION OF FIXED INCOME SECURITIES Presented By Sade Odunaiya Partner, Risk Management Alliance Consulting OUTLINE Introduction Valuation Principles Day Count Conventions Duration Covexity Exercises
More informationEXAM 1 REVIEW QUESTIONS
EXAM 1 REVIEW QUESTIONS 1) Free cash flow. Consider the following financial statements for United Technologies Corp. What is UT's free cash flow (total cash flow from assets) for 2001? UNITED TECHNOLOGIES:
More informationIntroduction. Turning the Calculator On and Off
Texas Instruments BAII PLUS Calculator Tutorial to accompany Cyr, et. al. Contemporary Financial Management, 1 st Canadian Edition, 2004 Version #6, May 5, 2004 By William F. Rentz and Alfred L. Kahl Introduction
More informationThe Time Value of Money
The Time Value of Money Time Value Terminology 0 1 2 3 4 PV FV Future value (FV) is the amount an investment is worth after one or more periods. Present value (PV) is the current value of one or more future
More informationIntroduction to Discounted Cash Flow and Project Appraisal. Charles Ward
Introduction to Discounted Cash Flow and Project Appraisal Charles Ward Company investment decisions How firms makes investment decisions about real projects (not necessarily property) How to decide which
More informationTime Value of Money. Work book Section I True, False type questions. State whether the following statements are true (T) or False (F)
Time Value of Money Work book Section I True, False type questions State whether the following statements are true (T) or False (F) 1.1 Money has time value because you forgo something certain today for
More informationOklahoma State University Spears School of Business. Time Value of Money
Oklahoma State University Spears School of Business Time Value of Money Slide 2 Time Value of Money Which would you rather receive as a signin bonus for your new job? 1. $15,000 cash upon signing the
More information15.401. Lecture Notes
15.401 15.401 Finance Theory I Haoxiang Zhu MIT Sloan School of Management Lecture 2: Present Value Lecture Notes Key concept of Lecture 1 Opportunity cost of capital True or False? A company s 10year
More informationChapter 9. Year Revenue COGS Depreciation S&A Taxable Income Aftertax Operating Income 1 $20.60 $12.36 $1.00 $2.06 $5.18 $3.11
Chapter 9 91 We assume that revenues and selling & administrative expenses will increase at the rate of inflation. Year Revenue COGS Depreciation S&A Taxable Income Aftertax Operating Income 1 $20.60
More informationExecutive Summary of Finance 430 Professor VissingJørgensen Finance 43062/63/64, Winter 2011
Executive Summary of Finance 430 Professor VissingJørgensen Finance 43062/63/64, Winter 2011 Weekly Topics: 1. Present and Future Values, Annuities and Perpetuities 2. More on NPV 3. Capital Budgeting
More informationManagement Accounting Financial Strategy
PAPER P9 Management Accounting Financial Strategy The Examiner provides a short study guide, for all candidates revising for this paper, to some first principles of finance and financial management Based
More informationFinal Exam Practice Set and Solutions
FIN469 Investments Analysis Professor Michel A. Robe Final Exam Practice Set and Solutions What to do with this practice set? To help students prepare for the final exam, three practice sets with solutions
More information1. CFI Holdings is a conglomerate listed on the Zimbabwe Stock Exchange (ZSE) and has three operating divisions as follows:
NATIONAL UNIVERSITY OF SCIENCE AND TECHNOLOGY FACULTY OF COMMERCE DEPARTMENT OF FINANCE BACHELOR OF COMMERCE HONOURS DEGREE IN FINANCE PART II 2 ND SEMESTER FINAL EXAMINATION MAY 2005 CORPORATE FINANCE
More informationChapter 6 Interest Rates and Bond Valuation
Chapter 6 Interest Rates and Bond Valuation Solutions to Problems P61. P62. LG 1: Interest Rate Fundamentals: The Real Rate of Return Basic Real rate of return = 5.5% 2.0% = 3.5% LG 1: Real Rate of Interest
More informationREVIEW MATERIALS FOR REAL ESTATE ANALYSIS
REVIEW MATERIALS FOR REAL ESTATE ANALYSIS 1997, Roy T. Black REAE 5311, Fall 2005 University of Texas at Arlington J. Andrew Hansz, Ph.D., CFA CONTENTS ITEM ANNUAL COMPOUND INTEREST TABLES AT 10% MATERIALS
More information1 Interest rates, and riskfree investments
Interest rates, and riskfree investments Copyright c 2005 by Karl Sigman. Interest and compounded interest Suppose that you place x 0 ($) in an account that offers a fixed (never to change over time)
More informationInvestments. 1.1 Future value and present value. What you must be able to explain:
Investments What you must be able to explain: Future value Present value Annual effective interest rate Net present value (NPV ) and opportunity cost of capital Internal rate of return (IRR) Payback rule
More informationDiscounted Cash Flow Valuation
Discounted Cash Flow Valuation Chapter 5 Key Concepts and Skills Be able to compute the future value of multiple cash flows Be able to compute the present value of multiple cash flows Be able to compute
More informationStock valuation. Price of a First period's dividends Second period's dividends Third period's dividends = + + +... share of stock
Stock valuation A reading prepared by Pamela Peterson Drake O U T L I N E. Valuation of common stock. Returns on stock. Summary. Valuation of common stock "[A] stock is worth the present value of all the
More informationSTUDENT CAN HAVE ONE LETTER SIZE FORMULA SHEET PREPARED BY STUDENT HIM/HERSELF. FINANCIAL CALCULATOR/TI83 OR THEIR EQUIVALENCES ARE ALLOWED.
Test IIIFINN3120090 Fall 2009 (2.5 PTS PER QUESTION. MAX 100 PTS) Type A Name ID PRINT YOUR NAME AND ID ON THE TEST, ANSWER SHEET AND FORMULA SHEET. TURN IN THE TEST, OPSCAN ANSWER SHEET AND FORMULA
More informationTakeHome Problem Set
Georgia State University Department of Finance MBA 8622 Fall 2001 MBA 8622: Corporation Finance TakeHome Problem Set Instructors: Lalitha Naveen, N. Daniel, C.Hodges, A. Mettler, R. Morin, M. Shrikhande,
More informationTYLER JUNIOR COLLEGE School of Continuing Studies 1530 SSW Loop 323 Tyler, TX 75701 1.800.298.5226 www.tjc.edu/continuingstudies/mycaa
TYLER JUNIOR COLLEGE School of Continuing Studies 1530 SSW Loop 323 Tyler, TX 75701 1.800.298.5226 www.tjc.edu/continuingstudies/mycaa Education & Training Plan Finance Professional Program Student Full
More informationExercise 1 for Time Value of Money
Exercise 1 for Time Value of Money MULTIPLE CHOICE 1. Which of the following statements is CORRECT? a. A time line is not meaningful unless all cash flows occur annually. b. Time lines are useful for visualizing
More informationAnalysis of Deterministic Cash Flows and the Term Structure of Interest Rates
Analysis of Deterministic Cash Flows and the Term Structure of Interest Rates Cash Flow Financial transactions and investment opportunities are described by cash flows they generate. Cash flow: payment
More informationKey Concepts and Skills. Multiple Cash Flows Future Value Example 6.1. Chapter Outline. Multiple Cash Flows Example 2 Continued
6 Calculators Discounted Cash Flow Valuation Key Concepts and Skills Be able to compute the future value of multiple cash flows Be able to compute the present value of multiple cash flows Be able to compute
More informationGordon Guides For the MT Exam. Financial Math
Financial Math For the IMT Exam, candidates are expected to have a high degree of understanding of time value of money principles, security valuation and basic statistics. Formulas are provided on at the
More informationFinQuiz Notes 2 0 1 4
Reading 5 The Time Value of Money Money has a time value because a unit of money received today is worth more than a unit of money to be received tomorrow. Interest rates can be interpreted in three ways.
More informationNumbers 101: Cost and Value Over Time
The Anderson School at UCLA POL 200009 Numbers 101: Cost and Value Over Time Copyright 2000 by Richard P. Rumelt. We use the tool called discounting to compare money amounts received or paid at different
More informationSample Problems Chapter 10
Sample Problems Chapter 10 Title: Cost of Debt 1. Costly Corporation plans a new issue of bonds with a par value of $1,000, a maturity of 28 years, and an annual coupon rate of 16.0%. Flotation costs associated
More informationMBA (3rd Sem) 201314 MBA/29/FM302/T/ODD/1314
Full Marks : 70 MBA/29/FM302/T/ODD/1314 201314 MBA (3rd Sem) Paper Name : Corporate Finance Paper Code : FM302 Time : 3 Hours The figures in the righthand margin indicate marks. Candidates are required
More information1. What is the difference between nominal returns and real returns?
End of Chapter 11 Questions and Answers 1. What is the difference between nominal returns and real returns? Answer: Nominal returns include inflation while real returns have inflation netted out. For example,
More informationQuestion 2 [Part I and IIare separate  20 marks]: Part II
Question 1 [20 marks, maximum one page single space] : a. Explain the di erence between a marketvalue balance sheet and a bookvalue balance sheet. b. What is meant by overthecounter trading? c. Distinguish
More informationCHAPTER 4 DISCOUNTED CASH FLOW VALUATION
CHAPTER 4 DISCOUNTED CASH FLOW VALUATION Solutions to Questions and Problems NOTE: Allendof chapter problems were solved using a spreadsheet. Many problems require multiple steps. Due to space and readability
More informationBOND  Security that obligates the issuer to make specified payments to the bondholder.
Bond Valuation BOND  Security that obligates the issuer to make specified payments to the bondholder. COUPON  The interest payments paid to the bondholder. FACE VALUE  Payment at the maturity of the
More informationFinance 350: Problem Set 6 Alternative Solutions
Finance 350: Problem Set 6 Alternative Solutions Note: Where appropriate, the final answer for each problem is given in bold italics for those not interested in the discussion of the solution. I. Formulas
More informationBond valuation and bond yields
RELEVANT TO ACCA QUALIFICATION PAPER P4 AND PERFORMANCE OBJECTIVES 15 AND 16 Bond valuation and bond yields Bonds and their variants such as loan notes, debentures and loan stock, are IOUs issued by governments
More informationNPV calculation. Academic Resource Center
NPV calculation Academic Resource Center 1 NPV calculation PV calculation a. Constant Annuity b. Growth Annuity c. Constant Perpetuity d. Growth Perpetuity NPV calculation a. Cash flow happens at year
More informationVilnius University. Faculty of Mathematics and Informatics. Gintautas Bareikis
Vilnius University Faculty of Mathematics and Informatics Gintautas Bareikis CONTENT Chapter 1. SIMPLE AND COMPOUND INTEREST 1.1 Simple interest......................................................................
More informationANALYSIS OF FIXED INCOME SECURITIES
ANALYSIS OF FIXED INCOME SECURITIES Valuation of Fixed Income Securities Page 1 VALUATION Valuation is the process of determining the fair value of a financial asset. The fair value of an asset is its
More information