CHAPTER 2 How to Calculate Present Values Answers to Problem Sets 1. If the discount factor is .507‚ then .507*1.126 = $1 2. 125/139 = .899 3. PV = 374/(1.09)9 = 172.20 4. PV = 432/1.15 + 137/(1.152) + 797/(1.153) = 376 + 104 + 524 = $1‚003 5. FV = 100*1.158 = $305.90 6. NPV = -1‚548 + 138/.09 = -14.67 (cost today plus the present value of the perpetuity) 7. PV = 4/(.14-.04) = $40 8. a. PV = 1/.10 = $10 b. Since the perpetuity
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Solutions to Textbook Answers Chapter 1 Introduction Solutions to questions 1. Finance involves three main areas—corporate finance‚ financial institutions and markets‚ and investments—that are closely related and complementary. For example‚ in corporate finance the central issues are how to acquire and employ or invest funds. To acquire funds a financial manager must deal with financial institutions‚ so some knowledge of the operations of financial institutions and markets is essential. Similarly
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THE PRINCIPLES OF CORPORATE FINANCE CHAPTER 1: The time value of money We are going to link the present and the future by using the notion of interest rate that could be called discount rate‚ required rate of return or cost of capital. Finance is all about cash flows but more precisely about the exact date of the realization of the cash flow. I) PRESENT VALUE Example 1: What is the value today of $110 to be received in one year? - suppose the interest rate ‚ r =10%
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Chapter 4 1. If you invest $1000 today at an interest rate of 10% per year‚ how much will you have 20 years from now‚ assuming no withdrawals in the interim? SOLUTION: n PV FV PMT Result 20 2. i 10 1000 ? 0 FV =6‚727.50 a. If you invest $100 every year for the next 20 years‚ starting one year from today and you earn interest of 10% per year‚ how much will you have at the end of the 20 years? b. How much must you invest each year if you want to have
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CHAPTER 3 Arbitrage and Financial Decision Making Chapter Synopsis 3.1 Valuing Decisions When considering an investment opportunity‚ a financial manager must systematically compare the costs and benefits associated with the project in order to determine whether it is worthwhile. Determining the cash value today of the costs and benefits is one way to make such a comparison. In a competitive market‚ a good can be bought and sold at the same price‚ so the market price can be used to determine
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This document includes the solutions for questions related to the material covered in class for Chapters 11‚ 12 and 13. Thus‚ you are not required to return this last problem set. Your work on the problem sets is over!!!! During last week of classes we will go over questions on the final exam. Please‚ do not forget to complete the teaching evaluations on-line at https://sete.unt.edu/ Corporate Finance: The Core (Berk/DeMarzo) Chapter 11 - Optimal Portfolio Choice Use the information for the question(s) below
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Solutions Manual Fundamentals of Corporate Finance 9th edition Ross‚ Westerfield‚ and Jordan Updated 09-29-2010 CHAPTER 1 INTRODUCTION TO CORPORATE FINANCE Answers to Concepts Review and Critical Thinking Questions 1. Capital budgeting (deciding whether to expand a manufacturing plant)‚ capital structure (deciding whether to issue new equity and use the proceeds to retire outstanding debt)‚ and working capital management (modifying the firm’s credit collection policy with its customers)
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(10-2) IRR A project has an initial cost of $52‚125‚ expected net cash inflows of $12‚000 per year for 8 years‚ and a cost of capital of 12%. What is the project’s NPV? (Hint: Begin by constructing a time line.) What’s the project’s IRR? NPV = Cash Flow in Period n/ (1 + Discount Rate)n NPV = $52‚125 + 12‚000/(1 +.12)8 = 4‚846.60 12‚000/(1 +.12)7 = 5‚428.19 12‚000/(1 +.12)6 = 6‚079.58 12‚000/(1 +.12)5 = 6‚809.13 12‚000/(1 +.12)4 = 7‚626.21 12‚000/(1 +.12)3 = 8‚541.35 12‚000/(1 +.12)2 = 9‚566.33
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CHAPTER 3 How to Calculate Present Values Answers to Practice Questions 1. a. PV = $100 0.905 = $90.50 b. PV = $100 0.295 = $29.50 c. PV = $100 0.035 = $ 3.50 d. PV = $100 0.893 = $89.30 PV = $100 0.797 = $79.70 PV = $100 0.712 = $71.20 PV = $89.30 + $79.70 + $71.20 = $240.20 2. a. PV = $100 4.279 = $427.90 b. PV = $100 4.580 = $458.00 c. We can think of cash flows in this problem as being the difference between two separate streams
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CHAPTER 8 MAKING CAPITAL INVESTMENT DECISIONS Answers to Concept Questions 1. In this context‚ an opportunity cost refers to the value of an asset or other input that will be used in a project. The relevant cost is what the asset or input is actually worth today‚ not‚ for example‚ what it cost to acquire. 2. a. Yes‚ the reduction in the sales of the company’s other products‚ referred to as erosion‚ should be treated as an incremental cash flow. These lost sales are included because
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