Consider the following information on a portfolio of three stocks: |
State of Economy |
Probability
of State of Economy |
Stock A Rate of Return |
Stock B Rate of Return |
Stock C Rate of Return |
Boom | .15 | .04 | .33 | .55 |
Normal | .60 | .09 | .13 | .19 |
Bust | .25 | .15 | –.14 | –.28 |
a. |
If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio’s expected return? The variance? The standard deviation? (Do not round intermediate calculations. Round your variance answer to 5 decimal places, e.g., .16161. Enter your other answers as a percent rounded to 2 decimal places, e.g., 32.16.) |
b. | If the expected T-bill rate is 3.75 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
In: Finance
Crete Logistics is thinking of opening a new warehouse, and the key data are shown below. The company will be leasing the building at a cost of $2,000 per month. The equipment for the project would be depreciated by the straight-line method over the project's 4-year life to a salvage value of zero, but you estimate the equipment's true salvage value is $10,000. New working capital of $15,000 would be required, and revenues and other operating costs would be constant over the project's 4-year life.
WACC |
10.0% |
Equipment Cost |
$65,000 |
Sales revenues, each year |
$123,000 |
Annual Operating Cost (including lease payment and excluding depreciation) |
$49,000 |
Tax rate |
35% |
What is the project's NPV?
In: Finance
Equation 1.4 Future Value of a Lump Sum | |||
Present Value | $1,000.00 | ||
i = Interest Rate | 8.00% | ||
n = Number of Periods | 4 | ||
Future Value | $1,360.49 | ||
*For monthly compounding; n = number of months, i = the annual interest rate divided by 12 | |||
In: Finance
Happy Times, Inc., wants to expand its party stores into the Southeast. In order to establish an immediate presence in the area, the company is considering the purchase of the privately held Joe’s Party Supply. Happy Times currently has debt outstanding with a market value of $110 million and a YTM of 5 percent. The company’s market capitalization is $330 million and the required return on equity is 10 percent. Joe’s currently has debt outstanding with a market value of $29 million. The EBIT for Joe’s next year is projected to be $12 million. EBIT is expected to grow at 9 percent per year for the next five years before slowing to 2 percent in perpetuity. Net working capital, capital spending, and depreciation as a percentage of EBIT are expected to be 8 percent, 14 percent, and 7 percent, respectively. Joe’s has 1.85 million shares outstanding and the tax rate for both companies is 30 percent. |
a. |
What is the maximum share price that Happy Times should be willing to pay for Joe’s? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
b. | After examining your analysis, the CFO of Happy Times is uncomfortable using the perpetual growth rate in cash flows. Instead, she feels that the terminal value should be estimated using the EV/EBITDA multiple. The appropriate EV/EBITDA multiple is 9. What is your new estimate of the maximum share price for the purchase? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
In: Finance
Suppose you have been hired as a financial consultant to Defense Electronics, Inc. (DEI), a large, publicly traded firm that is the market share leader in radar detection systems (RDSs). The company is looking at setting up a manufacturing plant overseas to produce a new line of RDSs. This will be a five-year project. The company bought some land three years ago for $4.2 million in anticipation of using it as a toxic dump site for waste chemicals, but it built a piping system to safely discard the chemicals instead. The land was appraised last week for $5 million. In five years, the aftertax value of the land will be $5.4 million, but the company expects to keep the land for a future project. The company wants to build its new manufacturing plant on this land; the plant and equipment will cost $31.76 million to build. The following market data on DEI’s securities is current: |
Debt: |
113,000 7.4 percent coupon bonds outstanding, 22 years to maturity, selling for 109 percent of par; the bonds have a par value of $2,000 and make semiannual payments. |
Common stock: |
8,500,000 shares outstanding, selling for $70.70 per share; the beta is 1.2. |
Preferred stock: |
447,000 shares of 5.5 percent preferred stock outstanding, selling for $80.70 per share and having a par value of $100. |
Market: |
8 percent expected market risk premium; 4.4 percent risk-free rate. |
DEI uses G.M. Wharton as its lead underwriter. Wharton charges DEI spreads of 6 percent on new common stock issues, 5 percent on new preferred stock issues, and 4 percent on new debt issues. Wharton has included all direct and indirect issuance costs (along with its profit) in setting these spreads. Wharton has recommended to DEI that it raise the funds needed to build the plant by issuing new shares of common stock. DEI’s tax rate is 23 percent. The project requires $1,225,000 in initial net working capital investment to get operational. Assume Wharton raises all equity for new projects externally. |
a. |
Calculate the project’s initial Year 0 cash flow, taking into account all side effects. Assume that the net working capital will not require flotation costs. (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole dollar amount, e.g., 1,234,567.) |
b. | The new RDS project is somewhat riskier than a typical project for DEI, primarily because the plant is being located overseas. Management has told you to use an adjustment factor of 3 percent to account for this increased riskiness. Calculate the appropriate discount rate to use when evaluating DEI’s project. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
c. | The manufacturing plant has an eight-year tax life, and DEI uses straight-line depreciation. At the end of the project (that is, the end of Year 5), the plant and equipment can be scrapped for $4.2 million. What is the aftertax salvage value of this plant and equipment? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole dollar amount, e.g., 1,234,567.) |
d. | The company will incur $6,500,000 in annual fixed costs. The plan is to manufacture 18,000 RDSs per year and sell them at $10,650 per machine; the variable production costs are $9,250 per RDS. What is the annual operating cash flow (OCF) from this project? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to the nearest whole dollar amount, e.g., 1,234,567.) |
e. | DEI’s comptroller is primarily interested in the impact of DEI’s investments on the bottom line of reported accounting statements. What will you tell her is the accounting break-even quantity of RDSs sold for this project? (Do not round intermediate calculations and round your answer to the nearest whole number, e.g., 32.) |
f. | Finally, DEI’s president wants you to throw all your calculations, assumptions, and everything else into the report for the chief financial officer; all he wants to know is what the RDS project’s internal rate of return (IRR) and net present value (NPV) are. (Do not round intermediate calculations. Enter your NPV answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89. Enter your IRR answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
In: Finance
Kruger, Inc. has a $10,000 pure discount bond that comes due in one year. The risk-free rate of return is 3 percent. The firm's assets are expected to be worth either $9,900 or $12,100 in one year. Currently, these assets are worth $11,000. What is the current value of the firm's debt?
$9,947.23 |
||
$9,150.08 |
||
$9,674.76 |
||
$8,752.10 |
||
$8,428.33 |
In: Finance
You own a lot in Lowell, Massachusetts that is currently unused. Similar lots have recently sold for $0.7 million. Over the past five years, the price of land in the area has increased 8 percent per year, with an annual standard deviation of 12 percent. A buyer has recently approached you and wants an option to buy the land in the next 12 months for $0.77 million. The risk-free rate of interest is 3 percent per year, compounded continuously. How much should you charge for the option?
$16,877.44 |
||
$15,996.12 |
||
$14,762.58 |
||
$13,267.79 |
||
$12,196.55 |
In: Finance
Stocks A and B have the following probability distributions of expected future returns:
Probability | A | B | ||
0.1 | (12 | %) | (25 | %) |
0.2 | 4 | 0 | ||
0.5 | 13 | 19 | ||
0.1 | 19 | 29 | ||
0.1 | 38 | 49 |
%
%
Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places.
________
Is it possible that most investors might regard Stock B as being less risky than Stock A?
-Select-IIIIIIIVVItem 4
Assume the risk-free rate is 4.5%. What are the Sharpe ratios for Stocks A and B? Do not round intermediate calculations. Round your answers to four decimal places.
Stock A:
Stock B:
Are these calculations consistent with the information obtained from the coefficient of variation calculations in Part b?
-Select-IIIIIIIVV
In: Finance
Stock X has a 9.0% expected return, a beta coefficient of 0.7, and a 40% standard deviation of expected returns. Stock Y has a 13.0% expected return, a beta coefficient of 1.3, and a 20% standard deviation. The risk-free rate is 6%, and the market risk premium is 5%.
Calculate each stock's coefficient of variation. Do not round intermediate calculations. Round your answers to two decimal places.
CVx =
CVy =
Calculate each stock's required rate of return. Round your answers to one decimal place.
rx = %
ry = %
Stock X or Stock Y?
rp = %
Stock X or Stock Y?
In: Finance
GoodLife stock is currently selling for $25.00 a share but is expected to either decrease to $22.50 or increase to $27.50 a share over the next year. The risk-free rate is 3 percent. What is the current value of a 1-year call option with an exercise price of $25?
$1.35 |
||
$1.58 |
||
$1.77 |
||
$1.94 |
||
$2.03 |
In: Finance
A stock's returns have the following distribution:
Demand for the Company's Products |
Probability of This Demand Occurring |
Rate of Return If This Demand Occurs |
Weak | 0.1 | (34%) |
Below average | 0.2 | (14) |
Average | 0.3 | 14 |
Above average | 0.3 | 40 |
Strong | 0.1 | 64 |
1.0 |
Assume the risk-free rate is 4%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places.
Stock's expected return: %
Standard deviation: %
Coefficient of variation:
Sharpe ratio:
In: Finance
Ten capital spending proposals have been made to the budget committee as the members prepare the annual budget for their firm. Each independent project has a 5-year life and no salvage value.
Project | Initial cost (thousands) | Uniform Annual Benefit (thousands) | Rate of return |
A | $10 | $2.98 | 15% |
B | $15 | $5.58 | 25% |
C | $5 | $1.53 | 16% |
D | $20 | $5.55 | 12% |
E | $15 | $4.37 | 14% |
F | $30 | $9.81 | 19% |
G | $25 | $7.81 | 17% |
H | $10 | $3.49 | 22% |
I | $5 | $1.67 | 20% |
J | $10 | $3.20 | 18% |
(a) Based on a MARR of 14%, which projects should be approved?
(b) Rank-order all the projects according to desirability.
(c) If only $70,000 is available, which projects should be approved?
(d) Are the results the same if the projects are ranked on IRR? What is the opportunity cost of capital?
Please provide step by step solutions. Good solution = automatic thumbs up!
In: Finance
Determine which of the ratios provide the most key insights into the Starbucks current level of performance. How can you assess whether the results of your calculations are positive or negative? Explain which of the ratios give you reason to be concerned with the organization's current strategy and why.
The ratios are:
Profitability Ratios
Liquidity Ratios
Leverage Ratios
Activity Ratios
Shareholders' Return Ratios
In: Finance
On February 2, 2016, an investor held some Province of Ontario stripped coupons in a self-administered RRSP at ScotiaMcLeod, an investment dealer. Each coupon represented a promise to pay $100 at the maturity date on February 2, 2022, but the investor would receive nothing until then. The value of the coupon showed as $89.11 on the investor’s screen. This means that the investor was giving up $89.11 on February 2, 2016, in exchange for $100 to be received just less than six years later.
a. Based upon the $89.11 price, what rate was the yield on the Province of Ontario bond? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
Rate of return %
b. Suppose that on February 2, 2017, the security’s price was $91.00. If an investor had purchased it for $89.11 a year earlier and sold it on this day, what annual rate of return would she have earned? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
Annual rate of return %
c. If an investor had purchased the security at the market price of $91.00 on February 2, 2017, and held it until it matured, what annual rate of return would she have earned? (Do not round intermediate calculations and round your final answer to 2 decimal places.)
Annual rate of return %
In: Finance
You had a bad accident 5 years ago and got settlement for $500,000 a year for 25 years. Circumstances has caused you to need .. You call J G Wentworth and you need cash now! JG Wentworth puts its financial wizards to work and in order to do this JG Wentworth needs to get a return of 10.5%. How much will JG Wentworth offer you for a lump sum payment?
In: Finance