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Question: A five-year annuity of 10 $5,


A five-year annuity of 10 $5,500 semiannual payments will begin 9 years from now, with the first payment coming 9.5 years from now. If the discount rate is 8 percent compounded monthly, what is the value of this annuity five years from now? What is the value three years from now? What is the current value of the annuity?



> Some recent financial statements for Smolira Golf Corp. follow. Use this information to work. Smolira Golf Corp. has 15,000 shares of common stock outstanding, and the market price for a share of stock at the end of 2021 was $79. What is the price-ear

> Some recent financial statements for Smolira Golf Corp. follow. Use this information to work. Prepare the 2021 statement of cash flows for Smolira Golf Corp.

> Some recent financial statements for Smolira Golf Corp. follow. Use this information to work. Construct the DuPont identity for Smolira Golf Corp.

> Some recent financial statements for Smolira Golf Corp. follow. Use this information to work. Find the following financial ratios for Smolira Golf Corp. (use year-end figures rather than average values where appropriate): Short-term solvency ratios: a

> Prince Albert Canning PLC had a net loss of £26,382 on sales of £315,650. What was the company’s profit margin? Does the fact that these figures are quoted in a foreign currency make any difference? Why? In dollars, sales were $385,815. What was the net

> Wallace Driving School’s 2020 balance sheet showed net fixed assets of $2.3 million, and the 2021 balance sheet showed net fixed assets of $3.1 million. The company’s 2021 income statement showed a depreciation expense of $327,000. What was net capital s

> Use the following information for Taco Swell, Inc., (assume the tax rate is 21 percent): For 2021, calculate the cash flow from assets, cash flow to creditors, and cash flow to stockholders.

> Use the following information for Taco Swell, Inc., (assume the tax rate is 21 percent): Draw up an income statement and balance sheet for this company for 2020 and 2021.

> What do you think about the state lottery discussed in the chapter advertising a $500,000 prize when the lump sum option is $250,000? Is it deceptive advertising?

> Suppose the firm in Problem 2 paid out $125,000 in cash dividends. What is the addition to retained earnings? Problem 2: Nataro, Inc., has sales of $742,000, costs of $316,000, depreciation expense of $39,000, interest expense of $34,000, and a tax rat

> As you increase the length of time involved, what happens to the present value of an annuity? What happens to the future value?

> There are four pieces to an annuity present value. What are they?

> Suppose the firm in Problem 3 had 75,000 shares of common stock outstanding. What is the earnings per share, or EPS, figure? What is the dividends per share figure? Problem 3: Suppose the firm in Problem 2 paid out $125,000 in cash dividends. What is th

> Nataro, Inc., has sales of $742,000, costs of $316,000, depreciation expense of $39,000, interest expense of $34,000, and a tax rate of 21 percent. What is the net income for this firm?

> Firm A and Firm B have debt-total asset ratios of 60 percent and 35 percent, respectively, and returns on total assets of 4.5 percent and 8 percent, respectively. Which firm has a greater return on equity?

> Bing, Inc., has current assets of $5,400, net fixed assets of $28,100, current liabilities of $4,100, and long-term debt of $10,600. What is the value of the shareholders’ equity account for this firm? How much is net working capital?

> Given the information for Osaka’s Tennis Shop, Inc., in Problems 9 and 10, suppose you also know that the firm’s net capital spending for 2021 was $1.5 million and that the firm reduced its net working capital investment by $55,000. What was the firm’s 2

> The 2020 balance sheet of Dugan, Inc., showed current assets of $5,320 and current liabilities of $2,510. The 2021 balance sheet showed current assets of $5,970 and current liabilities of $3,240. What was the company’s 2021 change in net working capital,

> Timmy Tappan is single and had $189,000 in taxable income. Using the rates from Table 2.3 in the chapter, calculate his income taxes. What is the average tax rate? What is the marginal tax rate?

> Pursell Bank offers you a five-year loan for $100,000 at an annual interest rate of 6.8 percent. What will your annual loan payment be?

> You want to have $75,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. If the account pays 6.4 percent interest, what amount must you deposit each year?

> A check-cashing store is in the business of making personal loans to walk-up customers. The store makes only one-week loans at 6.3 percent interest per week. a. What APR must the store report to its customers? What EAR are customers actually paying? b. N

> You have 40 years left until retirement and want to retire with $4.5 million. Your salary is paid annually, and you will receive $60,000 at the end of the current year. Your salary will increase at 3 percent per year, and you can earn an annual return of

> What is the value of an investment that pays $75,000 every other year forever, if the first payment occurs one year from today and the discount rate is 7 percent compounded daily? What is the value today if the first payment occurs four years from today?

> You have just arranged for a $2.55 million mortgage to finance the purchase of a large tract of land. The mortgage has an APR of 5.3 percent, and it calls for monthly payments over the next 30 years. However, the loan has an eight-year balloon payment, m

> Graffiti Advertising, Inc., reported the following financial statements for the last two years. Construct the cash flow identity for the company. Explain what each number means.

> An insurance company is offering a new policy to its customers. Typically, the policy is bought by a parent or grandparent for a child at the child’s birth. The purchaser (say, the parent) makes the following six payments to the insurance company: First

> If you deposit $4,900 at the end of each of the next 20 years into an account paying 10.3 percent interest, how much money will you have in the account in 20 years? How much will you have if you make deposits for 40 years?

> Your Christmas ski vacation was great, but it unfortunately ran a bit over budget. All is not lost: You just received an offer in the mail to transfer your $15,000 balance from your current credit card, which charges an annual rate of 18.6 percent, to a

> You have successfully started and operated a company for the past 10 years. You have decided that it is time to sell your company and spend time on the beaches of Hawaii. A potential buyer is interested in your company, but he does not have the necessary

> This problem illustrates a deceptive way of quoting interest rates called add-on interest. Imagine that you see an advertisement for Crazy Judy’s Stereo City that reads something like this: “$1,500 Instant Credit! 18.4% Simple Interest! Three Years to Pa

> Two banks in the area offer 30-year, $320,000 mortgages at 4.9 percent and charge a $5,500 loan application fee. However, the application fee charged by Insecurity Bank and Trust is refundable if the loan application is denied, whereas that charged by I.

> In the previous problem, suppose that you believe that you will only live in the house for eight years before selling the house and buying another house. This means that in eight years, you will pay off the remaining balance of the original mortgage. Wha

> You are buying a house and will borrow $265,000 on a 30-year fixed-rate mortgage with monthly payments to finance the purchase. Your loan officer has offered you a mortgage with an APR of 4.6 percent. Alternatively, she tells you that you can “buy down”

> The interest rate on a one-year loan is quoted as 13 percent plus 3 points (see the previous problem). What is the EAR? Is your answer affected by the loan amount? Problem 62: You are looking at a one-year loan of $10,000. The interest rate is quoted as

> You are looking at a one-year loan of $10,000. The interest rate is quoted as 9.7 percent plus 2 points. A point on a loan is 1 percent (one percentage point) of the loan amount. Quotes similar to this one are common with home mortgages. The interest rat

> Consider the following abbreviated financial statements for Parrothead Enterprises: a. What is owners’ equity for 2020 and 2021? b. What is the change in net working capital for 2021? c. In 2021, Parrothead Enterprises purchased $2,7

> You are serving on a jury. A plaintiff is suing the city for injuries sustained after a freak street sweeper accident. In the trial, doctors testified that it will be five years before the plaintiff is able to return to work. The jury has already decided

> This question illustrates what is known as discount interest. Imagine you are discussing a loan with a somewhat unscrupulous lender. You want to borrow $20,000 for one year. The interest rate is 14.6 percent. You and the lender agree that the interest on

> Your company will generate $55,000 in annual revenue each year for the next seven years from a new information database. If the appropriate discount rate is 8.2 percent, what is the present value of the savings?

> An All-Pro defensive lineman is in contract negotiations. The team has offered the following salary structure: Time ……………………………………………… Salary 0 ………………………………………….. $7,900,000 1 ………………………………………….. $4,500,000 2 ………………………………………….. $5,300,000 3 …………………………………

> After deciding to acquire a new car, you can either lease the car or purchase it on a three-year loan. The car you wish to buy costs $49,000. The dealer has a special leasing arrangement where you pay $5,100 today and $545 per month for the next three ye

> Bilbo Baggins wants to save money to meet three objectives. First, he would like to be able to retire 30 years from now with retirement income of $16,000 per month for 25 years, with the first payment received 30 years and 1 month from now. Second, he wo

> Rework Problem 55 assuming that the loan agreement calls for a principal reduction of $11,700 every year instead of equal annual payments. Problem 55: Prepare an amortization schedule for a five-year loan of $58,500. The interest rate is 6 percent per y

> Prepare an amortization schedule for a five-year loan of $58,500. The interest rate is 6 percent per year, and the loan calls for equal annual payments. How much interest is paid in the third year? How much total interest is paid over the life of the loa

> You want to buy a new sports car from Muscle Motors for $64,500. The contract is in the form of a 60-month annuity due at an APR of 5.4 percent. What will your monthly payment be?

> Suppose you are going to receive $14,500 per year for five years. The appropriate interest rate is 7.1 percent. a. What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an

> Martinez Industries had the following operating results for 2021: Sales = $38,072; Cost of goods sold = $27,168; Depreciation expense = $6,759; Interest expense = $3,050; Dividends paid = $2,170. At the beginning of the year, net fixed assets were $22,79

> A local finance company quotes an interest rate of 18.4 percent on one-year loans. So, if you borrow $20,000, the interest for the year will be $3,680. Because you must repay a total of $23,680 in one year, the finance company requires you to pay $23,680

> Given a discount rate of 4.6 percent per year, what is the value at Date t = 7 of a perpetual stream of $7,300 payments with the first payment at Date t = 15?

> If you put up $45,000 today in exchange for a 6.4 percent, 15-year annuity, what will the annual cash flow be?

> You have your choice of two investment accounts. Investment A is a 13-year annuity that features end-of-month $1,600 payments and has an APR of 7.8 percent compounded monthly. Investment B is a 7 percent continuously compounded lump sum investment, also

> A 15-year annuity pays $1,750 per month, and payments are made at the end of each month. If the APR is 9 percent compounded monthly for the first seven years, and APR of 6 percent compounded monthly thereafter, what is the value of the annuity today?

> What is the value today of $5,100 per year, at a discount rate of 7.9 percent, if the first payment is received 6 years from today and the last payment is received 20 years from today?

> Consider a firm with a contract to sell an asset for $175,000 four years from now. The asset costs $104,600 to produce today. Given a relevant discount rate of 11 percent per year, will the firm make a profit on this asset? At what rate does the firm jus

> You have just purchased a new warehouse. To finance the purchase, you’ve arranged for a 30-year mortgage loan for 80 percent of the $2.6 million purchase price. The monthly payment on this loan will be $14,200. What is the APR on this loan? The EAR?

> You just won the TVM Lottery. You will receive $1 million today plus another 10 annual payments that increase by $450,000 per year. Thus, in one year, you receive $1.45 million. In two years, you get $1.9 million, and so on. If the appropriate interest r

> In Problem 17, suppose Raines Umbrella Corp. paid out $128,000 in cash dividends. Is this possible? If net capital spending and net working capital were both zero, and if no new stock was issued during the year, what do you know about the firm’s long-ter

> The present value of the following cash flow stream is $8,200 when discounted at 9 percent annually. What is the value of the missing cash flow? Year ………………………….. Cash Flow 1 …………………………………... $2,100 2 …………………………………….…….. ? 3 …………………………………….. 2,740 4 ……

> You need a 30-year, fixed-rate mortgage to buy a new home for $245,000. Your mortgage bank will lend you the money at an APR of 4.8 percent for this 360-month loan. However, you can afford monthly payments of only $900, so you offer to pay off any remain

> You want to borrow $95,000 from your local bank to buy a new sailboat. You can afford to make monthly payments of $1,850, but no more. Assuming monthly compounding, what is the highest rate you can afford on a 60-month APR loan?

> You’re prepared to make monthly payments of $225, beginning at the end of this month, into an account that pays an APR of 6.5 percent compounded monthly. How many payments will you have made when your account balance reaches $15,000?

> An investment offers $3,850 per year for 15 years, with the first payment occurring one year from now. If the required return is 6 percent, what is the value of the investment? What would the value be if the payments occurred for 40 years? For 75 years?

> What is the relationship between the value of an annuity and the level of interest rates? Suppose you just bought an annuity with 13 annual payments of $10,000 per year at a discount rate of 10 percent per year. What happens to the value of your investme

> Your job pays you only once a year for all the work you did over the previous 12 months. Today, December 31, you just received your salary of $48,000 and you plan to spend all of it. However, you want to start saving for retirement beginning next year. Y

> You have just won the lottery and will receive $1.8 million in one year. You will receive payments for 30 years, and the payments will increase by 2.7 percent per year. If the appropriate discount rate is 5.4 percent, what is the present value of your wi

> You’ve just joined the investment banking firm of Dewey, Cheatum, and Howe. They’ve offered you two different salary arrangements. You can have $90,000 per year for the next two years, or you can have $77,000 per year for the next two years, along with a

> You want to be a millionaire when you retire in 40 years. How much do you have to save each month if you can earn an APR of 10.2 percent? How much do you have to save each month if you wait 10 years before you begin your deposits? 20 years?

> During 2021, Raines Umbrella Corp. had sales of $865,000. Cost of goods sold, administrative and selling expenses, and depreciation expenses were $535,000, $125,000, and $170,000, respectively. In addition, the company had an interest expense of $90,000

> You have an investment that will pay you .83 percent per month. How much will you have per dollar invested in one year? In two years?

> You are planning to save for retirement over the next 30 years. To do this, you will invest $850 per month in a stock account and $250 per month in a bond account. The return of the stock account is expected to be 11 percent, and the bond account will re

> You receive a credit card application from Shady Banks Savings and Loan offering an introductory rate of 1.25 percent per year, compounded monthly for the first six months, increasing thereafter to 17.8 percent compounded monthly. Assuming you transfer t

> You are looking at an investment that has an effective annual rate of 14.3 percent. What is the effective semiannual return? The effective quarterly return? The effective monthly return?

> Christie, Inc., has identified an investment project with the following cash flows. If the discount rate is 6 percent, what is the future value of these cash flows in Year 4? What is the future value at a discount rate of 13 percent? At 27 percent? Year

> If the appropriate discount rate for the following cash flows is 9.32 percent per year, what is the present value of the cash flows? Year ……………………………………. Cash Flow 1 …………………………………………….. $2,480 2 ……………………………………………………… 0 3 ……………………………………………….. 3,920 4 ……

> If the appropriate discount rate for the following cash flows is 8.5 percent compounded quarterly, what is the present value of the cash flows? Year ……………………………………… Cash Flow 1 ………………………………………………….. $ 815 2 ……………………………………………………. 990 3 ………………………………………………

> Beginning three months from now, you want to be able to withdraw $3,000 each quarter from your bank account to cover college expenses over the next four years. If the account pays .57 percent interest per quarter, how much do you need to have in your ban

> In the previous problem, suppose you make $5,700 annual deposits into the same retirement account. How large will your account balance be in 40 years?

> You are planning to make monthly deposits of $475 into a retirement account that pays 10 percent interest compounded monthly. If your first deposit will be made one month from now, how large will your retirement account be in 40 years?

> Polska, Inc., is obligated to pay its creditors $10,300 during the year. a. What is the market value of the shareholders’ equity if assets have a market value of $11,600? b. What if assets equal $9,400?

> Live Forever Life Insurance Co. is selling a perpetuity contract that pays $1,500 monthly. The contract currently sells for $260,000. What is the monthly return on this investment vehicle? What is the APR? The effective annual return?

> One of your customers is delinquent on his accounts payable balance. You’ve mutually agreed to a repayment schedule of $500 per month. You will charge 1.8 percent per month interest on the overdue balance. If the current balance is $18,000, how long will

> You want to buy a new sports coupe for $84,500, and the finance office at the dealership has quoted you an APR of 4.7 percent for a 60-month loan to buy the car. What will your monthly payments be? What is the effective annual rate on this loan?

> Investment X offers to pay you $5,300 per year for eight years, whereas Investment Y offers to pay you $7,300 per year for five years. Which of these cash flow streams has the higher present value if the discount rate is 5 percent? If the discount rate i

> Big Dom’s Pawn Shop charges an interest rate of 25.5 percent per month on loans to its customers. Like all lenders, Big Dom must report an APR to consumers. What rate should the shop report? What is the effective annual rate?

> An investment will pay you $95,000 in 10 years. If the appropriate discount rate is 9 percent compounded daily, what is the present value?

> Spartan Credit Bank is offering 8.3 percent compounded daily on its savings accounts. If you deposit $7,500 today, how much will you have in the account in 5 years? In 10 years? In 20 years?

> What is the future value of $5,500 in 17 years at an APR of 8.4 percent compounded semiannually?

> Evergreen Credit Corp. wants to earn an effective annual return on its consumer loans of 18.2 percent per year. The bank uses daily compounding on its loans. What interest rate is the bank required by law to report to potential borrowers? Explain why thi

> First National Bank charges 13.8 percent compounded monthly on its business loans. First United Bank charges 14.1 percent compounded semiannually. As a potential borrower, which bank would you go to for a new loan?

> Prepare a 2021 balance sheet for Willis Corp. based on the following information: Cash = $165,000; Patents and copyrights = $858,000; Accounts payable = $273,000; Accounts receivable = $149,000; Tangible net fixed assets = $2,093,000; Inventory = $372,00

> Graff, Inc., has sales of $49,800, costs of $23,700, depreciation expense of $2,300, and interest expense of $1,800. If the tax rate is 22 percent, what is the operating cash flow, or OCF?

> Four individuals are evaluating the tax cost of operating their business as an S corporation. They assume that the corporation will pay no tax on its annual business income. They plan to incorporate the business in a state with a 7 percent corporate inco

> The 18 partners in KT Limited Partnership unanimously voted to convert their partnership to an LLC. To make the conversion, each partner will exchange his interest in KT for a membership interest in the newly formed LLC.

> Nine years ago, Fred paid $20,000 cash for a 2 percent limited interest in a very profitable partnership. Every year Fred has properly included his distributive share of partnership income in taxable income. This year, Fred sold his interest to an unrela

> Lola owns a 15 percent limited interest in AF Partnership, which uses a calendar year for tax purposes. On April 12, Lola sold her entire interest to the R Corporation; consequently, she was a partner for only 102 days during the year. AF generated $845,

> Travis is a professional writer who maintains his business office in one room of his personal residence. The office contains Travis’s desk, filing cabinets, personal computer and printer, copying machine, phone system, and fax machine. It also contains h

> Mr. and Mrs. Chou file a joint income tax return. Mr. Chou reports the income from his full-time landscaping business on a Schedule C, which lists him as the sole proprietor. He also reports 100 percent of the net profit as his self-employment income and

> Javier is a full-time employee of B Inc. and operates a sole proprietorship. This year, his salary was $70,000, and his net earnings from self-employment were $60,000.

> FG Inc. owned a 3 percent limited interest in a partnership that has been unprofitable for several years. The partnership recently informed its partners that they must contribute additional capital if the partnership is to survive. FG decided not to cont

2.99

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