An investment of $1,000,000 yields $1,100,000 in exactly one year. Calculate the annual rate of return on this investment with:
annual compounding
semiannual compounding
Monthly compounding
Continuous compounding.
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Consider a 30-year, $155,000 mortgage with a rate of 6.05 percent. Ten years into the mortgage, rates have fallen to 5 percent. What would be the monthly saving to a homeowner from refinancing the outstanding mortgage balance at the lower rate? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
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Calligraphy Pens is deciding when to replace its old machine. The machine's current salvage value is $2,900,000. Its current book value is $1,725,000. If not sold, the old machine will require maintenance costs of $695,000 at the end of the year for the next five years. Depreciation on the old machine is $345,000 per year. At the end of five years, it will have a salvage value of $140,000 and a book value of $0. A replacement machine costs $4,500,000 now and requires maintenance costs of $365,000 at the end of each year during its economic life of five years. At the end of the five years, the new machine will have a salvage value of $730,000. It will be fully depreciated by the straight-line method. In five years, a replacement machine will cost $3,500,000. The company will need to purchase this machine regardless of what choice it makes today. The corporate tax rate is 22 percent and the appropriate discount rate is 8 percent. The company is assumed to earn sufficient revenues to generate tax shields from depreciation.
Calculate the NPV for the new and old machines. (Do not round intermediate calculations and enter your answers in dollars, not millions, rounded to 2 decimal places, e.g., 1,234,567.89.)
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BUSI 320 Comprehensive Problem 3 FALL 2019
Use what you have learned about the time value of money to analyze each of the following decisions:
Decision #1: Which set of Cash Flows is worth more now? Assume that your grandmother wants to give you generous gift. She wants you to choose which one of the following sets of cash flows you would like to receive:
Option A: Receive a one-time gift of $ 10,000 today.
Option B: Receive a $1500 gift each year for the next 10 years. The first $1400 would be received 1 year from today.
Option C: Receive a one-time gift of $18,000 10 years from today.
Compute the Present Value of each of these options if you expect the interest rate to be 3% annually for the next 10 years. Which of these options does financial theory suggest you should choose?
Option A would be worth $___ today.
Option B would be worth $___ today.
Option C would be worth $___ today.
Financial theory supports choosing Option ____ .
Compute the Present Value of each of these options if you expect the interest rate to be 6% annually for the next 10 years. Which of these options does financial theory suggest you should choose?
Option A would be worth $__________ today.
Option B would be worth $__________ today.
Option C would be worth $__________ today.
Financial theory supports choosing Option _______
Compute the Present Value of each of these options if you expect to be able to earn 9% annually for the next 10 years. Which of these options does financial theory suggest you should choose?
Option A would be worth $__________ today.
Option B would be worth $__________ today.
Option C would be worth $__________ today.
Financial theory supports choosing Option _______
Decision #2 begins at the top of page 2! Decision #2: Planning for Retirement Erich and Mallory are 22, newly married, and ready to embark on the journey of life. They both plan to retire 45 years from today. Because their budget seems tight right now, they had been thinking that they would wait at least 10 years and then start investing $3000 per year to prepare for retirement. Mallory just told Erich, though, that she had heard that they would actually have more money the day they retire if they put $3000 per year away for the next 10 years - and then simply let that money sit for the next 35 years without any additional payments – then they would have MORE when they retired than if they waited 10 years to start investing for retirement and then made yearly payments for 35 years (as they originally planned to do). Please help Erich and Mallory make an informed decision: Assume that all payments are made at the END a year (or month), and that the rate of return on all yearly investments will be 7.2% annually. (Please do NOT ROUND when entering “Rates” for any of the questions below)
a) How much money will Erich and Mallory have in 45 years if they do nothing for the next 10 years, then put $3000 per year away for the remaining 35 years?
b) How much money will Erich and Mallory have in 10 years if they put $3000 per year away for the next 10 years?
b2) How much will the amount you just computed grow to if it remains invested for the remaining 35 years, but without any additional yearly deposits being made?
c) How much money will Erich and Mallory have in 45 years if they put $3000 per year away for each of the next 45 years? How much money will Erich and Mallory have in 45 years if they put away $250 d) per MONTH at the end of each month for the next 45 years? (Remember to adjust 7.2% annual rate to a Rate per month!)
e) If Erich and Mallory wait 25 years (after the kids are raised!) before they put anything away for retirement, how much will they have to put away at the end of each year for 20 years in order to have $1,000,000 saved up on the first day of their retirement 45 years from today?
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Sheffield Manufactures Ltd, operate in the printing and packaging industry. They feel that some of their older printing and labelling machines need to be replaced. They seek help in order to calculate their cost of capital. Their present capital structure is as follows: • 800 000 R2 ordinary shares now trading at R2.50 per share. • 250 000 preference shares trading at R2 per share (issued at R3 per share), at 10% fixed rate of interest. • A bank loan of R1 500 000 at 13% p.a. (payable in 5 years’ time) Additional data a. The company’s beta is 1.3. the return on the market is 14% and the risk free rate is 7% b. Its current tax rate is 28% c. Its current dividend is 40c per share and it expects its dividends to grow by 8% p.a. Required 1.1 Assuming that the company uses the Dividend Growth Model to calculate its cost of equity. Calculate its weighed average cost of capital. (17) 1.1.1 If a further R500 000 is needed to finance the expansion, which option should they use from ordinary shares, preference shares or loan financing and why? (3)
In: Finance
You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97.
Year | Fund | Market | Risk-Free | |||
2011 | –15.20 | % | –30.50 | % | 3 | % |
2012 | 25.10 | 20.10 | 4 | |||
2013 | 13.00 | 11.20 | 2 | |||
2014 | 7.40 | 8.00 | 5 | |||
2015 | –1.56 | –3.20 | 2 | |||
Calculate Jensen’s alpha for the fund, as well as its information ratio. (Do not round intermediate calculations. Enter the alpha as a percent rounded to 2 decimal places. Round the ratio to 4 decimal places.)
You have been given the following return information for a mutual fund, the market index, and the risk-free rate. You also know that the return correlation between the fund and the market is 0.97.
Year | Fund | Market | Risk-Free | |||
2011 | –20.6 | % | –39.5 | % | 1 | % |
2012 | 25.1 | 21.0 | 3 | |||
2013 | 13.9 | 13.9 | 2 | |||
2014 | 7.6 | 8.8 | 4 | |||
2015 | –2.1 | –5.2 | 2 | |||
What are the Sharpe and Treynor ratios for the fund? (Do not round intermediate calculations. Round your answers to 4 decimal places.)
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You are given the following information for Smashville, Inc.
Cost of goods sold: | $ | 184,000 | |
Investment income: | $ | 1,600 | |
Net sales: | $ | 387,000 | |
Operating expense: | $ | 88,000 | |
Interest expense: | $ | 7,400 | |
Dividends: | $ | 6,000 | |
Tax rate: | 30 | % | |
Current liabilities: | $ | 12,000 |
Cash: | $ | 21,000 |
Long-term debt: | $ | 32,000 |
Other assets: | $ | 40,000 |
Fixed assets: | $ | 125,000 |
Other liabilities: | $ | 5,000 |
Investments: | $ | 36,000 |
Operating assets: | $ | 64,000 |
During the year, Smashville, Inc., had 25,000 shares of stock outstanding and depreciation expense of $15,000. Calculate the book value per share, earnings per share, and cash flow per share. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
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Mr. James, an ardent photographer has decided to take his for steps on realizing his entrepreneurial dream. He has been mulling over various options and has narrowed them down to 2 options. Mr. James asks for your assistance in resolving the dilemma that he faces. Option 1 Rent an office at La Lucia Mall and purchase photo developing equipment and other devices necessary for this venture. This will involve the actual printing/development of photos, “burning” of CDs/DVD’s, etc. Option 2 Purchase a state of the art Nikon Camera Kit and take photos/record videos of special events (weddings, birthdays, anniversaries, etc.). This will entail spending on an advertising campaign in order to aggressively seek market share. Project cost and other data Option 1 Option 2 Cost of investments (Total) 400 000 90 000 Expected useful life 5 years 5 years Salvage value 50 000 10 000 Cost of capital (After tax) 9% Project Revenues Year 1 150 000 20 000 Year 2 130 000 30 000 Year 3 80 000 50 000 Year 4 60 000 30 000 Year 5 40 000 15 000 Required: 2.1 If James requires a payback period of no more than 3 1/2 years which project should he choose? Show calculations. (8) 2.2 Suggest flaws in the valutitaion method (payback period).(2) 2.3 Use the NPV method to test which project is more viable. (10)
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List five goals of a firm and Select which goals you will set for your organization as a manager and give the reason why you have selected those goals. (260 words
Use this textbook as a guide -Principles of Managerial Finance (14th ed.) by Gitman, Lawrence & Zutter, Chand
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16. Lowell Corp. is an all-equity firm with $820,000. It now wants to issue debt and raise the debt ratio to 0.40 from 0.0 without changing total assets. It plans to use the proceeds of the debt issue to retire some equity using a share repurchase. How much cash should Lowell borrow?
a. $228,000
b. $288,000
c. $328,000
d. $388,000
e. $492,000
17. Nashua Inc.'s debt ratio is .25. That is, for every $100 of total assets, it has borrowed $25. What would be the value of its equity multiplier to use in a DuPont equation? Hint: You might need to work out the equation for equity multiplier from the debt ratio equation!
a. 0.25
b. 1.00
c. 1.25
d. 1.33
e. 4.00
18. XYZ Corp.'s sales last year were $300,000, and its net income was $20,000. What was its profit margin?
a. 6.67%
b. 7.66%
c. 8.21%
d. 8.63%
e. 9.06%
19. ABC Corp. is an all equity firm with total assets of $400,000, with sales of$600,000 and net income of $25,000. Management wants to lower costs to increase ROE to around 15%. They do not plan on changing sales or issuing debt. What profit margin would be needed to achieve this higher ROE? Hint: DuPont Equation - What is equity multiplier here?
a. 9.45%
b. 9.85%
c. 10.00%
d. 10.45%
e. 10.85%
20. Weston Industries had soles of $300,000, assets of $175,000, a profit margin of 5.2%, and an equity multiplier of 1.2. The CFO believes that the company could reduce its assets by $50,000 without affecting either sales or costs. Had it reduced its assets by this amount, and had the debt/assets ratio, sales, and costs remained constant, how much would the ROE have changed? Hint: First Calculate ROE for the present amount of assets – Does the profit margin change after the reduction in assets?
a. 4.28%
b. 4.56%
c. 5.01%
d. 5.52%
e. 6.07%
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In a financial plan, how is the amount of borrowing determined?
A.In direct proportion to sales growth
B.By the needed increase in fixed assets
C.By the increase in total assets minus the increase in cash
D.By management's D/E decision
PLEASE explain what is D/E decision
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Are there any significant difference between working capital management and working capital investment?
In: Finance
Consider a company that is financing an expansion, with the
expansion financed by
the owners. Projected free cash flows are -$25 million in year 1,
+$10 million in year 2, +30 million
in year 3, and +$50 million in year 4. After year 4, the cash flows
are expected to grow at a constant
rate of 6%. For the company, the weighted average cost of capital
is 14%, short-term investments
for the company are $80 million, company debt is at $150 million,
the amount of preferred stock
is at $30 million, and there are 5 million shares outstanding. A.)
Using a free cash flow valuation
approach, what is the value from operations for the company? B.)
What is the total intrinsic value
of the company? C.) What is the estimated intrinsic value of the
equity? D.) What is the estimated
intrinsic stock price per share?
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In a slow year, Deutsche Burgers will produce 2.400 million hamburgers at a total cost of $3.900 million. In a good year, it can produce 4.200 million hamburgers at a total cost of $4.800 million. a. What are the fixed costs of hamburger production? (Do not round intermediate calculations. Enter your answer in millions rounded to 1 decimal place.) b. What is the variable cost per hamburger? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. What is the average cost per burger when the firm produces 1 million hamburgers? (Do not round intermediate calculations. Round your answer to 2 decimal places.) d. What is the average cost per burger when the firm produces 2 million hamburgers? (Do not round intermediate calculations. Round your answer to 2 decimal places.) e. Why is the average cost lower when more burgers are produced? The fixed costs are spread across more burgers. Variable costs are lower per burger. Fixed costs are constant per burger.
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Aday Acoustics, Inc., projects unit sales for a new 7-octave voice emulation implant as follows: |
Year | Unit Sales | |||
1 | 72,600 | |||
2 | 78,000 | |||
3 | 83,000 | |||
4 | 80,900 | |||
5 | 67,100 | |||
Production of the implants will require $1,420,000 in net working capital to start and additional net working capital investments each year equal to 15 percent of the projected sales increase for the following year. Total fixed costs are $3,500,000 per year, variable production costs are $137 per unit, and the units are priced at $319 each. The equipment needed to begin production has an installed cost of $17,900,000. Because the implants are intended for professional singers, this equipment is considered industrial machinery and thus qualifies as 7-year MACRS property. In five years, this equipment can be sold for about 20 percent of its acquisition cost. The company is in the 22 percent marginal tax bracket and has a required return on all its projects of 16 percent. MACRS schedule. |
What is the NPV of the project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
What is the IRR of the project? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
In: Finance