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Jet Black is an international conglomerate with a petroleum division and is currently competing in an auction to win the right to drill for crude oil on a large piece of land in one year. The current market price of crude oil is $100 per barrel and the land is believed to contain 528,000 barrels of oil. If found, the oil would cost $107 million to extract. Treasury bills that mature in one year yield a continuously compounded interest rate of 5 percent and the standard deviation of the returns on the price of crude oil is 55 percent. |
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Use the Black-Scholes model to calculate the maximum bid that the company should be willing to make at the auction. (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.) |
In: Finance
Capital Budgeting
Social Circle Publications Inc. is considering two new magazine products. The estimated net cash flows from each product are as follow:
|
Year |
Sound Cellar |
Pro Gamer |
|
1 |
65,000 |
70,000 |
|
2 |
60,000 |
55,000 |
|
3 |
25,000 |
35,000 |
|
4 |
25,000 |
30,000 |
|
5 |
45,000 |
30,000 |
|
Total |
220,000 |
220,000 |
Each product requires an investment of $125,000. A rate of 10% has been selected for the net present value analysis.
In: Finance
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A company has a single zero coupon bond outstanding that matures in five years with a face value of $28 million. The current value of the company’s assets is $21 million and the standard deviation of the return on the firm’s assets is 44 percent per year. The risk-free rate is 3 percent per year, compounded continuously. |
| a. |
What is the current market value of the company’s equity? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.) |
| b. | What is the current market value of the company’s debt? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.) |
| c. | What is the company’s continuously compounded cost of debt? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
| d. | The company has a new project available. The project has an NPV of $1,700,000. If the company undertakes the project, what will be the new market value of equity? Assume volatility is unchanged. (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.) |
| e. | Assuming the company undertakes the new project and does not borrow any additional funds, what is the new continuously compounded cost of debt? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) |
In: Finance
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Jared Lazarus has just been named the new chief executive officer of BluBell Fitness Centers, Inc. In addition to an annual salary of $415,000, his three-year contract states that his compensation will include 18,750 at-the-money European call options on the company’s stock that expire in three years. The current stock price is $49 per share and the standard deviation of the returns on the firm’s stock is 60 percent. The company does not pay a dividend. Treasury bills that mature in three years yield a continuously compounded interest rate of 4 percent. Assume that the annual salary payments occur at the end of the year and that these cash flows should be discounted at a rate of 12 percent. |
| 1)Use the Black-Scholes model to calculate the value of the stock options. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
| 2)Determine the total value of the compensation package on the date the contract is signed. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
In: Finance
Explain in 2 to 3 lines.
1.When we open a position, the costs are different between an options contract and a futures contract. Explain the difference between a premium and a margin account. Be sure to explain the various types of margins that are required and what costs each type of contract has.
2.Explain the idea of the "cost of carry" as it applies to futures contracts. Specifically, what factors can influence the difference between a spot and futures/forward price in the cost of carry? Now explain "convergence" as it relates to spot and futures prices as well as the cost of carry.
In: Finance
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FINANCIAL LEVERAGE EFFECTS Firms HL and LL are identical except for their financial leverage ratios and the interest rates they pay on debt. Each has $15 million in invested capital, has $3.75 million of EBIT, and is in the 40% federal-plus-state tax bracket. Firm HL, however, has a debt-to-capital ratio of 55% and pays 12% interest on its debt, whereas LL has a 30% debt-to-capital ratio and pays only 10% interest on its debt. Neither firm uses preferred stock in its capital structure.
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In: Finance
Calculate the present value of the following annuity
streams:
a. $5,000 received each year for 7 years on the
last day of each year if your investments pay 7 percent compounded
annually.
b. $5,000 received each quarter for 7 years on the
last day of each quarter if your investments pay 7 percent
compounded quarterly.
c. $5,000 received each year for 7 years on the
first day of each year if your investments pay 7 percent compounded
annually.
d. $5,000 received each quarter for 7 years on the
first day of each quarter if your investments pay 7 percent
compounded quarterly.
(For all requirements, do not round intermediate
calculations. Round your answers to 2 decimal places. (e.g.,
32.16))
In: Finance
The Martinezes are planning to refinance their home (assuming that there are no additional finance charges). The outstanding balance on their original loan is $175,000. Their finance company has offered them two options:
Option A: A fixed-rate mortgage at an interest rate of
6.5% per year compounded monthly, payable over a 30-year period in
360 equal monthly installments.
Option B: A fixed-rate mortgage at an interest rate of
6.25% per year compounded monthly, payable over a 12-year period in
144 equal monthly installments.
(a) Find the monthly payment required to amortize each of these
loans over the life of the loan. (Round your answers to the nearest
cent.)
Option A: $
Option B: $
(b) How much interest would the Martinezes save if they chose the
12-year mortgage instead of the 30-year mortgage?
Use the rounded monthly payment values from part (a). (Round your
answer to the nearest cent.)
$
In: Finance
Sarah secured a bank loan of $165,000 for the purchase of a
house. The mortgage is to be amortized through monthly payments for
a term of 15 years, with an interest rate of 3%/year compounded
monthly on the unpaid balance. She plans to sell her house in 10
years. How much will Sarah still owe on her house at that time?
(Round your answer to the nearest cent.)
$
In: Finance
The Turners have purchased a house for $140,000. They made an initial down payment of $40,000 and secured a mortgage with interest charged at the rate of 8%/year compounded monthly on the unpaid balance. The loan is to be amortized over 30 yr. (Round your answers to the nearest cent.)
(a) What monthly payment will the Turners be required to
make?
$
(b) How much total interest will they pay on the loan?
$
(c) What will be their equity after 10 years?
$
(d) What will be their equity after 22 years?
$
In: Finance
Suppose an individual makes an initial investment of $1,800 in an account that earns 6.6%, compounded monthly, and makes additional contributions of $100 at the end of each month for a period of 12 years. After these 12 years, this individual wants to make withdrawals at the end of each month for the next 5 years (so that the account balance will be reduced to $0). (Round your answers to the nearest cent.)
(a) How much is in the account after the last deposit is
made?
$
(b) How much was deposited?
$
(c) What is the amount of each withdrawal?
$
(d) What is the total amount withdrawn?
$
In: Finance
In: Finance
1) You are an investor evaluating a project which is going to take 8 years. The project will pay $500,000 at the beginning of each year starting a year from now. These payments will grow at 2% for the first two years, then 3.5% for the following two years and then stay consistent at 4% until the end of the project. In the last year of the project you will receive a lump sum of $1 million while also paying a lump sum of $200,000. If your expected return on this project is 12.5%, what is the PV of the project?
2) You are 20 years old and anitcipate you will have your first child when you are 25 years old. At 25 years old, you want to save at the end of each month for the next 18 years. You anticipate that when your child goes to college, tuition room and board to be paid at the beginning of each year will cost $20,000. Education inflation is expected to be at 4% each year. If you can earn 8.5% on investments from when you are 25 years until your child completes college and you put $2,000 down at 25 years old as you start investing, how much money in real dollars do you have to save to achieve this goal accounting for education inflation?
In: Finance
Suppose an individual makes an initial investment of $1,800 in
an account that earns 6.6%, compounded monthly, and makes
additional contributions of $100 at the end of each month for a
period of 12 years. After these 12 years, this individual wants to
make withdrawals at the end of each month for the next 5 years (so
that the account balance will be reduced to $0). (Round your
answers to the nearest cent.)
In: Finance
Project A will cost $10 million dollars and generate after tax cash flow of $5 million dollars per year for the next three years. Shareholders need to earn 30%. The risk free rate is 3%. The firm's cost of funds is 18%. What is the NPV?
In: Finance