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Question: You want to buy a house that


You want to buy a house that costs $100,000. You have $10,000 for a down payment, but your credit is such that mortgage companies will not lend you the required $90,000. However, the realtor persuades the seller to take a $90,000 mortgage (called a seller take-back mortgage) at a rate of 7%, provided the loan is paid off in full in 3 years. You expect to inherit $100,000 in 3 years; but right now all you have is $10,000, and you can afford to make payments of no more than $7,500 per year given your salary. (The loan would call for monthly payments, but assume end-of-year annual payments to simplify things.)
a. If the loan was amortized over 3 years, how large would each annual payment be?
Could you afford those payments?
b. If the loan was amortized over 30 years, what would each payment be? Could you afford those payments?
c. To satisfy the seller, the 30-year mortgage loan would be written as a balloon note, which means that at the end of the third year, you would have to make the regular payment plus the remaining balance on the loan. What would the loan balance be at the end of Year 3, and what would the balloon payment be?



> What is a mutually exclusive project? How should managers rank mutually exclusive projects?

> What are three potential flaws with the regular payback method? Does the discounted payback method correct all three flaws? Explain.

> A 5-year Treasury bond has a 5.2% yield. A 10-year Treasury bond yields 6.4%, and a 10-year corporate bond yields 8.4%. The market expects that inflation will average 2.5% over the next 10 years (IP10 ¼ 2.5%). Assume that there is no maturity risk premiu

> How are project classifications used in the capital budgeting process?

> A firm has a $100 million capital budget. It is considering two projects, each costing $100 million. Project A has an IRR of 20%; has an NPV of $9 million; and will be terminated after 1 year at a profit of $20 million, resulting in an immediate increase

> What reinvestment rate assumptions are built into the NPV, IRR, and MIRR methods? Give an explanation (other than “because the text says so”) for your answer.

> Project X is very risky and has an NPV of $3 million. Project Y is very safe and has an NPV of $2.5 million. They are mutually exclusive, and project risk has been properly considered in the NPV analyses. Which project should be chosen? Explain.

> Why might it be rational for a small firm that does not have access to the capital markets to use the payback method rather than the NPV method?

> Discuss the following statement: If a firm has only independent projects, a constant WACC, and projects with normal cash flows, the NPV and IRR methods will always lead to identical capital budgeting decisions. What does this imply about the choice betwe

> If two mutually exclusive projects were being compared, would a high cost of capital favor the longer-term or the shorter-term project? Why? If the cost of capital declined, would that lead firms to invest more in longer-term projects or shorter-term pro

> An electric utility is considering a new power plant in northern Arizona. Power from the plant would be sold in the Phoenix area, where it is badly needed. Because the firm has received a permit, the plant would be legal; but it would cause some air poll

> A mining company is considering a new project. Because the mine has received a permit, the project would be legal; but it would cause significant harm to a nearby river. The firm could spend an additional $10 million at Year 0 to mitigate the environment

> A firm with a 14% WACC is evaluating two projects for this year’s capital budget. After-tax cash flows, including depreciation, are as follows: a. Calculate NPV, IRR, MIRR, payback, and discounted payback for each project. b. Assuming

> Which fluctuate more—long-term or short-term interest rates? Why?

> Your division is considering two projects with the following net cash flows (in millions): a. What are the projects’ NPVs assuming the WACC is 5%? 10%? 15%? b. What are the projects’ IRRs at each of these WACCs? c. If

> Refer to Problem 11-1. What is the project’s discounted payback? Problem 11-1 Project K costs $52,125, its expected net cash inflows are $12,000 per year for 8 years, and its WACC is 12%.

> MIRR Refer to Problem 11-1. What is the project’s MIRR? Problem 11-1 Project K costs $52,125, its expected net cash inflows are $12,000 per year for 8 years, and its WACC is 12%.

> A project has the following cash flows: This project requires two outflows at Years 0 and 2, but the remaining cash flows are positive. Its WACC is 10%, and its MIRR is 14.14%. What is the Year 2 cash outflow? 1 2 4 + $196 + -$500 $202 -$X $350 $451

> Project X costs $1,000, and its cash flows are the same in Years 1 through 10. Its IRR is 12%, and its WACC is 10%. What is the project’s MIRR?

> A project has annual cash flows of $7,500 for the next 10 years and then $10,000 each year for the following 10 years. The IRR of this 20-year project is 10.98%. If the firm’s WACC is 9%, what is the project’s NPV?

> A mining company is deciding whether to open a strip mine, which costs $2 million. Net cash inflows of $13 million would occur at the end of Year 1. The land must be returned to its natural state at a cost of $12 million, payable at the end of Year 2. a.

> A store has 5 years remaining on its lease in a mall. Rent is $2,000 per month, 60 payments remain, and the next payment is due in 1 month. The mall’s owner plans to sell the property in a year and wants rent at that time to be high so that the property

> A company has a 12% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following net cash flows: a. What is each project’s NPV? b. What is each project’s IRR? c. What is each

> A company is considering two mutually exclusive expansion plans. Plan A requires a $40 million expenditure on a large-scale integrated plant that would provide expected cash flows of $6.4 million per year for 20 years. Plan B requires a $12 million expen

> Assume that the real risk-free rate is 2% and that the maturity risk premium is zero. If the 1-year bond yield is 5% and a 2-year bond (of similar risk) yields 7%, what is the 1-year interest rate that is expected for Year 2? What inflation rate is expec

> An oil drilling company must choose between two mutually exclusive extraction projects, and each costs $12 million. Under Plan A, all the oil would be extracted in 1 year, producing a cash flow at t = 1 of $14.4 million. Under Plan B, cash flows would be

> K. Kim Inc. must install a new air conditioning unit in its main plant. Kim must install one or the other of the units; otherwise, the highly profitable plant would have to shut down. Two units are available, HCC and LCC (for high and low capital costs,

> A company is analyzing two mutually exclusive projects, S and L, with the following cash flows: The company’s WACC is 10%. What is the IRR of the better project? (Hint: The better project may or may not be the one with the higher IRR.)

> Project S costs $15,000, and its expected cash flows would be $4,500 per year for 5 years. Mutually exclusive Project L costs $37,500, and its expected cash flows would be $11,100 per year for 5 years. If both projects have a WACC of 14%, which project w

> You recently went to work for Allied Components Company, a supplier of auto repair parts used in the after-market with products from Daimler, Chrysler, Ford, and other automakers. Your boss, the chief financial officer (CFO), has just handed you the esti

> Your division is considering two projects. Its WACC is 10%, and the projects’ after-tax cash flows (in millions of dollars) would be as follows: a. Calculate the projects’ NPVs, IRRs, MIRRs, regular paybacks, and disc

> The WACC is a weighted average of the costs of debt, preferred stock, and common equity. Would the WACC be different if the equity for the coming year came solely in the form of retained earnings versus some equity from the sale of new common stock? Wou

> Suppose a firm estimates its WACC to be 10%. Should the WACC be used to evaluate all of its potential projects, even if they vary in risk? If not, what might be “reasonable” costs of capital for average-, high-, and low-risk projects?

> How should the capital structure weights used to calculate the WACC be determined?

> Suppose 2-year Treasury bonds yield 4.5%, while 1-year bonds yield 3%. r* is 1%, and the maturity risk premium is zero. a. Using the expectations theory, what is the yield on a 1-year bond 1 year from now? b. What is the expected inflation rate in Year 1

> Suppose a new and more liberal Congress and administration are elected. Their first order of business is to take away the independence of the Federal Reserve System and to force the Fed to greatly expand the money supply. What effect will this have: a. O

> Donna Jamison, a 2003 graduate of the University of Florida with 4 years of banking experience, was recently brought in as assistant to the chairperson of the board of D’Leon Inc., a small food producer that operates in north Florida an

> An investment will pay $100 at the end of each of the next 3 years, $200 at the end of Year 4, $300 at the end of Year 5, and $500 at the end of Year 6. If other investments of equal risk earn 8% annually, what is its present value? Its future value?

> What’s the future value of a 7%, 5-year ordinary annuity that pays $300 each year? If this was an annuity due, what would its future value be?

> Should stockholder wealth maximization be thought of as a long-term or a short-term goal? For example, if one action increases a firm’s stock price from a current level of $20 to $25 in 6 months and then to $30 in 5 years but another action keeps the sto

> You have $42,180.53 in a brokerage account, and you plan to deposit an additional $5,000 at the end of every future year until your account totals $250,000. You expect to earn 12% annually on the account. How many years will it take to reach your goal?

> If you deposit $10,000 in a bank account that pays 10% interest annually, how much will be in your account after 5 years?

> A father is now planning a savings program to put his daughter through college. She is 13, she plans to enroll at the university in 5 years, and she should graduate in 4 years. Currently, the annual cost (for everything—food, clothing, tuition, books, tr

> Your father is 50 years old and will retire in 10 years. He expects to live for 25 years after he retires, until he is 85. He wants a fixed retirement income that has the same purchasing power at the time he retires as $40,000 has today. (The real value

> It is now December 31, 2008 (t = 0), and a jury just found in favor of a woman who sued the city for injuries sustained in a January 2007 accident. She requested recovery of lost wages plus $100,000 for pain and suffering plus $20,000 for legal expenses.

> Simon recently received a credit card with an 18% nominal interest rate. With the card, he purchased a new stereo for $350. The minimum payment on the card is only $10 per month. a. If Simon makes the minimum monthly payment and makes no other charges, h

> a. You plan to make five deposits of $1,000 each, one every 6 months, with the first payment being made in 6 months. You will then make no more deposits. If the bank pays 4% nominal interest, compounded semiannually, how much will be in your account afte

> Laiho Industries’ 2007 and 2008 balance sheets (in thousands of dollars) are shown. a. Sales for 2008 were $455,150,000, and EBITDA was 15% of sales. Furthermore, depreciation and amortization were 11% of net fixed assets, interest was

> What is a loan amortization schedule, and what are some ways these schedules are used?

> a. Set up an amortization schedule for a $25,000 loan to be repaid in equal installments at the end of each of the next 3 years. The interest rate is 10% compounded annually. b. What percentage of the payment represents interest and what percentage repre

> You want to buy a house within 3 years, and you are currently saving for the down payment. You plan to save $5,000 at the end of the first year, and you anticipate that your annual savings will increase by 10% annually thereafter. Your expected annual re

> What are the four forms of business organization? What are the advantages and disadvantages of each?

> Six years from today you need $10,000. You plan to deposit $1,500 annually, with the first payment to be made a year from today, in an account that pays an 8% effective annual rate. Your last deposit, which will occur at the end of Year 6, will be for le

> Starting next year, you will need $10,000 annually for 4 years to complete your education. (One year from today you will withdraw the first $10,000.) Your uncle deposits an amount today in a bank paying 5% annual interest, which will provide the needed $

> Erika and Kitty, who are twins, just received $30,000 each for their 25th birthday. They both have aspirations to become millionaires. Each plans to make a $5,000 annual contribution to her “early retirement fund” on her birthday, beginning a year from t

> Your firm sells for cash only; but it is thinking of offering credit, allowing customers 90 days to pay. Customers understand the time value of money, so they would all wait and pay on the 90th day. To carry these receivables, you would have to borrow fu

> As a jewelry store manager, you want to offer credit, with interest on outstanding balances paid monthly. To carry receivables, you must borrow funds from your bank at a nominal 6%, monthly compounding. To offset your overhead, you want to charge your cu

> Indicate whether the following instruments are examples of money market or capital market securities. a. U.S. Treasury bills b. Long-term corporate bonds c. Common stocks d. Preferred stocks e. Dealer commercial paper

> Bank A pays 4% interest compounded annually on deposits, while Bank B pays 3.5% compounded daily. a. Based on the EAR (or EFF%), which bank should you use? b. Could your choice of banks be influenced by the fact that you might want to with draw your fund

> Banks and other lenders are required to disclose a rate called the APR. What is this rate? Why did Congress require that it be disclosed? Is it the same as the effective annual rate? If you were comparing the costs of loans from different lenders, could

> You have saved $4,000 for a down payment on a new car. The largest monthly payment you can afford is $350. The loan will have a 12% APR based on end-of-month payments. What is the most expensive car you can afford if you finance it for 48 months? for 60

> Find the future values of the following ordinary annuities: a. FV of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually b. FV of $200 paid each 3 months for 5 years at a nominal rate of 12%compounded quarterly c. These a

> Find the present value of $500 due in the future under each of these conditions: a. 12% nominal rate, semiannual compounding, discounted back 5 years b. 12% nominal rate, quarterly compounding, discounted back 5 years c. 12% nominal rate, monthly compoun

> Find the amount to which $500 will grow under each of these conditions: a. 12% compounded annually for 5 years b. 12% compounded semiannually for 5 years c. 12% compounded quarterly for 5 years d. 12% compounded monthly for 5 years e. 12% compounded dail

> If a company’s board of directors wants management to maximize shareholder wealth, should the CEO’s compensation be set as a fixed dollar amount, or should the compensation depend on how well the firm performs? If it is to be based on performance, how sh

> Jan sold her house on December 31 and took a $10,000 mortgage as part of the payment. The 10-year mortgage has a 10% nominal interest rate, but it calls for semiannual payments beginning next June 30. Next year Jan must report on Schedule B of her IRS Fo

> You have applied for a job with a local bank. As part of its evaluation process, you must take an examination on time value of money analysis covering the following questions: a. Draw time lines for (1) A $100 lump sum cash flow at the end of Year 2; (

> Answer the following questions: a. Assuming a rate of 10% annually, find the FV of $1,000 after 5 years. b. What is the investment’s FV at rates of 0%, 5%, and 20% after 0, 1, 2, 3, 4, and 5 years? c. Find the PV of $1,000 due in 5 year

> Describe the different ways in which capital can be transferred from suppliers of capital to those who are demanding capital.

> Over the past year, M. D. Ryngaert & Co. had an increase in its current ratio and a decline in its total assets turnover ratio. However, the company’s sales, cash and equivalents, DSO, and fixed assets turnover ratio remained constant. What balance sheet

> Why would the inventory turnover ratio be more important for someone analyzing a grocery store chain than an insurance company?

> If a firm’s earnings per share grew from $1 to $2 over a 10-year period, the total growth would be 100%, but the annual growth rate would be less than 10%. True or false? Explain.

> Financial ratio analysis is conducted by three main groups of analysts: credit analysts, stock analysts, and managers. What is the primary emphasis of each group, and how would that emphasis affect the ratios they focus on?

> Indicate the effects of the transactions listed in the following table on total current assets, current ratio, and net income. Use (+) to indicate an increase, (−) to indicate a decrease, and (0) to indicate either no effect or an indet

> Suppose you were comparing a discount merchandiser with a high-end merchandiser. Suppose further that both companies had identical ROEs. If you applied the DuPont equation to both firms, would you expect the three components to be the same for each compa

> Why is it sometimes misleading to compare a company’s financial ratios with those of other firms that operate in the same industry?

> Give some examples that illustrate how (a) Seasonal factors and (b) Different growth rates might distort a comparative ratio analysis. How might these problems be alleviated?

> Is it better for a firm’s actual stock price in the market to be under, over, or equal to its intrinsic value? Would your answer be the same from the standpoints of stockholders in general and a CEO who is about to exercise a million dollars in options a

> If a firm’s ROE is low and management wants to improve it, explain how using more debt might help.

> How does a cost-efficient capital market help reduce the prices of goods and services?

> How does inflation distort ratio analysis comparisons for one company over time (trend analysis) and for different companies that are being compared? Are only balance sheet items or both balance sheet and income statement items affected?

> Profit margins and turnover ratios vary from one industry to another. What differences would you expect to find between the turnover ratios, profit margins, and DuPont equations for a grocery chain and a steel company?

> Assume the following relationships for the Brauer Corp.: Sales total assets………………………..1.5× Return on assets (ROA) ………………3% Return on equity (ROE) ………………..5% Calculate Brauer’s profit margin and debt ratio.

> Explain whether the following statement is true or false: $100 a year for 10 years is an annuity; but $100 in Year 1, $200 in Year 2, and $400 in Years 3 through 10 does not constitute an annuity. However, the second series contains an annuity.

> You are given the following information: Stockholders’ equity = $3.75 billion, price/earnings ratio = 3.5, common shares outstanding = 50 million, and market/book ratio = 1.9. Calculate the price of a share of the company’s common stock.

> Duval Manufacturing recently reported the following information: Net income……………………….$600,000 ROA…………………………………..8% Interest expense………………..$225,000 Duval’s tax rate is 35%. What is its basic earning power (BEP)?

> Ebersoll Mining has $6 million in sales, its ROE is 12%, and its total assets turnover is 3.2×. The company is 50% equity financed. What is its net income?

> Doublewide Dealers has an ROA of 10%, a 2% profit margin, and an ROE of 15%. What is its total assets turnover? What is its equity multiplier?

> A firm has been experiencing low profitability in recent years. Perform an analysis of the firm’s financial position using the DuPont equation. The firm has no lease payments but has a $2 million sinking fund payment on its debt. The mo

> Data for Barry Computer Co. and its industry averages follow. a. Calculate the indicated ratios for Barry. b. Construct the DuPont equation for both Barry and the industry. c. Outline Barry’s strengths and weaknesses as revealed by your

> Explain whether the following statements are true or false. a. Derivative transactions are designed to increase risk and are used almost exclusively by speculators who are looking to capture high returns. b. Hedge funds typically have large minimum inves

> Suppose three honest individuals gave you their estimates of Stock X’s intrinsic value. One person is your current roommate, the second person is a professional security analyst with an excellent reputation on Wall Street, and the third person is Company

> Complete the balance sheet and sales information using the following financial data: Debt ratio: 50% Current ratio: 1.8x Total assets tumover: 1.5x Days sales outstanding: 365 days Gross profit margin on sales: (Sales – Cost of goods sold)/Sales = 25

> Fontaine Inc. recently reported net income of $2 million. It has 500,000 shares of common stock, which currently trades at $40 a share. Fontaine continues to expand and anticipates that 1 year from now, its net income will be $3.25 million. Over the next

> Harrelson Inc. currently has $750,000 in accounts receivable, and its day’s sales outstanding (DSO) is 55 days. It wants to reduce its DSO to 35 days by pressuring more of its customers to pay their bills on time. If this policy is adopted, the company’s

> Crissie just won the lottery, and she must choose between three award options. She can elect to receive a lump sum today of $61 million, to receive 10 end-of-year payments of $9.5 million, or to receive 30 end-of-year payments of $5.5 million. a. If she

> The Petry Company has $1,312,500 in current assets and $525,000 in current liabilities. Its initial inventory level is $375,000, and it will raise funds as additional notes payable and use them to increase inventory. How much can its short-term debt (not

> TIE RATIO AEI Incorporated has $5 billion in assets, and its tax rate is 40%. Its basic earning power (BEP) ratio is 10%, and its return on assets (ROA) is 5%. What is AEI’s times interest- earned (TIE) ratio? Answer TA = $5,000,000,000; T = 40%; EBIT

> Which of the following statements is most correct? a. If a firm’s expected basic earning power (BEP) is constant for all of its assets and exceeds the interest rate on its debt, adding assets and financing them with debt will raise the firm’s expected re

> Central City Construction (CCC) needs $1 million of assets to get started, and it expects to have a basic earning power ratio of 20%. CCC will own no securities, so all of its income will be operating income. If it so chooses, CCC can finance up to 50% o

2.99

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