Problem 4-23
Determinants of Interest Rates
Suppose you and most other investors expect the inflation rate to be 8% next year, to fall to 5% during the following year, and then to remain at a rate of 3% thereafter. Assume that the real risk-free rate, r*, will remain at 2% and that maturity risk premiums on Treasury securities rise from zero on very short-term securities (those that mature in a few days) to a level of 0.2 percentage points for 1-year securities. Furthermore, maturity risk premiums increase 0.2 percentage points for each year to maturity, up to a limit of 1.0 percentage point on 5-year or longer-term T-notes and T-bonds.
Calculate the interest rate on 1-year Treasury securities.
Round your answer to two decimal places.
%
Calculate the interest rate on 2-year Treasury securities. Round
your answer to two decimal places.
%
Calculate the interest rate on 3-year Treasury securities. Round
your answer to two decimal places.
%
Calculate the interest rate on 4-year Treasury securities. Round
your answer to two decimal places.
%
Calculate the interest rate on 5-year Treasury securities. Round
your answer to two decimal places.
%
Calculate the interest rate on 10-year Treasury securities. Round
your answer to two decimal places.
%
Calculate the interest rate on 20-year Treasury securities. Round
your answer to two decimal places.
%
In: Finance
Beckman Engineering and Associates (BEA) is considering a change in its capital structure. BEA currently has $20 million in debt carrying a rate of 7%, and its stock price is $40 per share with 2 million shares outstanding. BEA is a zero-growth firm and pays out all of its earnings as dividends. The firm's EBIT is $14 million, and it faces a 25% federal-plus-state tax rate. The market risk premium is 6%, and the risk-free rate is 7%. BEA is considering increasing its debt level to a capital structure with 45% debt, based on market values, and repurchasing shares with the extra money that it borrows. BEA will have to retire the old debt in order to issue new debt, and the rate on the new debt will be 13%. BEA has a beta of 1.0.
What is BEA's unlevered beta? Use market value D/S (which is the same as wd/ws) when unlevering. Do not round intermediate calculations. Round your answer to two decimal places.
What are BEA's new beta and cost of equity if it has 45% debt? Do not round intermediate calculations. Round your answers to two decimal places.
Beta:
Cost of equity: %
What is BEA's WACC with 45% debt? Do not round intermediate calculations. Round your answer to two decimal places.
%
What is the total value of the firm with 45% debt? Do not round intermediate calculations. Enter your answer in millions. For example, an answer of $1.234 million should be entered as 1.234, not 1,234,000. Round your answer to three decimal places.
$ million
In: Finance
Identify whether each statement below is TRUE or FALSE. (20 pts)
a)In a world with no taxes, a firm’s capital structure is irrelevent meaning that WACC is constant for all levels of D/E. True False
b)WACC always reflects the fair value return on a firm’s assets regardless of whether or not interest expense is tax deductible
True False
c)If interest expense is tax deductible, issuing debt creates a new asset whose value equals the present value of the avoided tax due to the interest expense. True False
d)In a world where interest expense is tax deductibile and bank-ruptcy costs are significant, there is an optimal capital structure is when the marginal increase in the tax shield is offset by marginal bankprutcy costs. True False
e)A firm’s cost of equity (re) increases with increasing D/E due to greater business risk. True False
f)Firms having the same business risk must also have the same beta (e.g. systematic risk). True False
g)In a world with no taxes, the firm’s cost of equity is constant across all D/E ratios less than 1.0. True False
h)A firm should use its WACC to evaluate all capital projects regardless of their nature and how they are financed. True False
i) The greater a stock’s total risk as measured by its standard deviation, the higher its expected return. True False
j)A project’s IRR is the rate which makes the NPV = 0. True False
In: Finance
You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks:
| Stock | Investment | Stock's Beta Coefficient |
| A | $160 million | 0.4 |
| B | 120 million | 1.1 |
| C | 80 million | 2.2 |
| D | 80 million | 1.0 |
| E | 60 million | 1.5 |
Kish's beta coefficient can be found as a weighted average of its stocks' betas. The risk-free rate is 3%, and you believe the following probability distribution for future market returns is realistic:
| Probability | Market Return |
| 0.1 | -27% |
| 0.2 | 0 |
| 0.4 | 12 |
| 0.2 | 32 |
| 0.1 | 45 |
In: Finance
1. A long cable has current I. If the magnitude of the magnetic field at a distance d is B, determine the magnitude of the magnetic field at a distance 2d from the cable.
a. 2B
b. 8B
c. 4B
d. B / 2
e. B / 4
QUESTION 2
1. A circular cable consists of 5 loops with a diameter of 1.0 m each. The cable is placed in an external magnetic field of 0.5 T. When the cable has a current of 4.0 A, it experiences a torque of 4.0 A. Determine the angle between the plane of the cable and the direction of the magnetic field.
a. 0 degrees
b. 30 degrees
c. 90 degrees
d. 45 degrees
e. 60 degree
QUESTION 3
1. I suppose a certain electric cable can carry a maximum current of 125 A. Determine the magnitude of the magnetic field at a point 4.5 m away from the cable.
a. 5.56 x 10 ^ -6 T
b. 3.49 x 10 ^ -5 T
c. 4.69 x 10 ^ -4 T
d. 7.95 x 10 ^ -3 T
e. 1.75 x 10 ^ -5 T
QUESTION 4
1. A 0.150 m long cable is horizontally oriented and has a current of 12.5 A and is in a magnetic field region of 0.625 T. The angle between the direction of the current and the magnetic field is 25 degrees. Determine the magnitude of the magnetic force on the cable.
a. 0.495 N
b. 0.792 N
c. 1.44 N
d. 3.30 N
e. 1.17 N
In: Physics
Year 0: -240,000
Year 1: + 10,000
Year 2: + 55,000
Year 3: +100,000
Year 4: +380,000
What is the NPV for this project, using a 15% discount rate?
Multiple Choice
The Project has an NPV of $69,281
The Project has an NPV of $58,445
The Project has an NPV of $70,617
The Project has an NPV of $93,301
What is the IRR for this project?
Multiple Choice
The Project has an IRR of 26.51%
The Project has an IRR of 28.13%
The Project has an IRR of 22.93%
The Project has an IRR of 19.32%
What is the Payback for this project:
Multiple Choice
The Project has a payback of 3.20 years
The Project has a payback of 3.88 years
The Project has a payback of 3.05 years
The Project has a payback of 3.28 years
What is the Profitability Index for this Project
Multiple Choice
The Project has a P.I. of 1.65
The Project has a P.I. of 2.33
The Project has a P.I. of 1.39
The Project has a P.I. of 1.44
Based on your analysis and given what you know about capital budgeting, which one of the following statements is correct regarding the Project just analyzed in the previous 5 questions (#14-#18)?
Multiple Choice
You should accept the Project since its IRR is lower than the hurdle rate of 15%
You should reject the Project
You should accept the Project, since its Profitability Index is less than 1.0
You should accept the Project, since its NPV is positive
In: Finance
You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks:
| Stock | Investment | Stock's Beta Coefficient |
| A | $160 million | 0.7 |
| B | 120 million | 1.5 |
| C | 80 million | 2.3 |
| D | 80 million | 1.0 |
| E | 60 million | 1.4 |
Kish's beta coefficient can be found as a weighted average of its stocks' betas. The risk-free rate is 3%, and you believe the following probability distribution for future market returns is realistic:
| Probability | Market Return | |
| 0.1 | -29 | % |
| 0.2 | 0 | |
| 0.4 | 14 | |
| 0.2 | 31 | |
| 0.1 | 47 | |
-Select-IIIIIIIVVItem 1
%
The new stock -Select-should notshouldItem 3 be purchased.
At what expected rate of return should Kish be indifferent to purchasing the stock? Round your answer to two decimal places.
%
In: Finance
You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks:
| Stock | Investment | Stock's Beta Coefficient |
| A | $160 million | 0.7 |
| B | 120 million | 1.3 |
| C | 80 million | 2.1 |
| D | 80 million | 1.0 |
| E | 60 million | 1.7 |
Kish's beta coefficient can be found as a weighted average of its stocks' betas. The risk-free rate is 3%, and you believe the following probability distribution for future market returns is realistic:
| Probability | Market Return | |
| 0.1 | -29 | % |
| 0.2 | 0 | |
| 0.4 | 14 | |
| 0.2 | 30 | |
| 0.1 | 49 | |
-Select-IIIIIIIVVItem 1
%
The new stock -Select-should notshouldItem 3 be purchased.
At what expected rate of return should Kish be indifferent to purchasing the stock? Round your answer to two decimal places.
%
In: Finance
Iconic memory is a type of memory that holds visual information for about half a second (0.5 seconds). To demonstrate this type of memory, participants were shown three rows of four letters for 50 milliseconds. They were then asked to recall as many letters as possible, with a 0-, 0.5-, or 1.0-second delay before responding. Researchers hypothesized that longer delays would result in poorer recall. The number of letters correctly recalled is given in the table.
| Delay Before Recall | ||
|---|---|---|
| 0 | 0.5 | 1 |
| 9 | 4 | 5 |
| 5 | 9 | 1 |
| 7 | 9 | 4 |
| 6 | 6 | 5 |
| 10 | 5 | 2 |
| 11 | 3 | 7 |
(a) Complete the F-table. (Round your values for MS and F to two decimal places.)
| Source of Variation | SS | df | MS | F |
|---|---|---|---|---|
| Between groups | ||||
| Within groups (error) | ||||
| Total |
(b) Compute Tukey's HSD post hoc test and interpret the results.
(Assume alpha equal to 0.05. Round your answer to two decimal
places.)
The critical value is for each pairwise comparison.
Which of the comparisons had significant differences? (Select all
that apply.)
The null hypothesis of no difference should be retained because none of the pairwise comparisons demonstrate a significant difference.Recall following no delay was significantly different from recall following a one second delay.Recall following a half second delay was significantly different from recall following a one second delay.Recall following no delay was significantly different from recall following a half second delay.
In: Statistics and Probability
You plan to invest in the Kish Hedge Fund, which has total capital of $500 million invested in five stocks:
| Stock | Investment | Stock's Beta Coefficient |
| A | $160 million | 0.6 |
| B | 120 million | 1.2 |
| C | 80 million | 2.1 |
| D | 80 million | 1.0 |
| E | 60 million | 1.9 |
Kish's beta coefficient can be found as a weighted average of its stocks' betas. The risk-free rate is 4%, and you believe the following probability distribution for future market returns is realistic:
| Probability | Market Return | |
| 0.1 | -30 | % |
| 0.2 | 0 | |
| 0.4 | 11 | |
| 0.2 | 32 | |
| 0.1 | 54 | |
-Select-IIIIIIIVVItem 1
%
The new stock should or should not be purchased.?
At what expected rate of return should Kish be indifferent to purchasing the stock? Round your answer to two decimal places.
%
In: Finance