Consider the following information regarding the performance of a money manager in a recent month. The table represents the actual return of each sector of the manager’s portfolio in column 1, the fraction of the portfolio allocated to each sector in column 2, the benchmark or neutral sector allocations in column 3, and the returns of sector indices in column 4.
| Actual Return | Actual Weight | Benchmark Weight | Index Return | |||||||||
| Equity | 2.6 | % | 0.5 | 0.4 | 3.1% (S&P 500) | |||||||
| Bonds | 1.6 | 0.2 | 0.2 | 1.8 (Barclay’s Aggregate) | ||||||||
| Cash | 0.6 | 0.3 | 0.4 | 0.7 | ||||||||
a-1. What was the manager’s return in the month? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)
a-2. What was her overperformance or underperformance? (Do not round intermediate calculations. Input all amounts as positive values. Round your answer to 2 decimal places.)
b. What was the contribution of security selection to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)
c. What was the contribution of asset allocation to relative performance? (Do not round intermediate calculations. Round your answer to 2 decimal places. Negative amount should be indicated by a minus sign.)
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In: Finance
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Problem Set 2: Linear Regression Analysis Research Scenario: A social psychologist is interested in whether the number of days spent in a refugee camp predicts trauma levels in recently resettled refugees. He interviews 17 refugees to determine how many days they spent in a refugee camp before being resettled, then administers the Harvard Trauma Questionnaire Part IV (HTQ Part 4), where a higher score indicates higher levels of trauma (Mollica et al., 1992). He compiles the information in the table below. Using this table, enter the data into a new SPSS data file and run a linear regression analysis to test whether days in a refugee camp predict HTQ-4 scores. Create a scatterplot with a regression line to show the relationship between the variables. |
|
Days Spent in Refugee Camp |
HTQ Part 4 Score |
|
12 |
0.4 |
|
73 |
1.1 |
|
60 |
0.9 |
|
105 |
2.3 |
|
98 |
1.7 |
|
76 |
0.3 |
|
89 |
0.7 |
|
173 |
2.6 |
|
189 |
3.1 |
|
203 |
3.0 |
|
138 |
1.9 |
|
215 |
2.5 |
|
71 |
0.7 |
|
67 |
1.2 |
|
63 |
1.8 |
|
184 |
2.9 |
|
63 |
0.6 |
In: Math
Hula Enterprises is considering a new project to produce solar water heaters. The finance manager wishes to find an appropriate risk adjusted discount rate for the project. The (equity) beta of Hot Water, a firm currently producing solar water heaters, is 1.4. Hot Water has a debt to total value ratio of 0.3. The expected return on the market is 0.08, and the riskfree rate is 0.07. Suppose the corporate tax rate is 30 percent. Assume that debt is riskless throughout this problem. (Round your answers to 2 decimal places. (e.g., 0.16)) a. The expected return on the unlevered equity (return on asset, R0) for the solar water heater project is %. b. If Hula is an equity financed firm, the weighted average cost of capital for the project is %. c. If Hula has a debt to equity ratio of 0.8, the weighted average cost of capital for the project is %. d. The finance manager believes that the solar water heater project can support 40 cents of debt for every dollar of asset value, i.e., the debt capacity is 40 cents for every dollar of asset value. Hence she is not sure that the debt to equity ratio of 0.8 used in the weighted average cost of capital calculation is valid. Based on her belief, the appropriate debt ratio to use is %. The weighted average cost of capital that you will arrive at with this capital structure is
In: Finance
Better Mousetraps has developed a new trap. It can go into production for an initial investment in equipment of $5.7 million. The equipment will be depreciated straight line over 6 years to a value of zero, but in fact it can be sold after 6 years for $671,000. The firm believes that working capital at each date must be maintained at a level of 10% of next year’s forecast sales. The firm estimates production costs equal to $1.80 per trap and believes that the traps can be sold for $7 each. Sales forecasts are given in the following table. The project will come to an end in 6 years, when the trap becomes technologically obsolete. The firm’s tax bracket is 35%, and the required rate of return on the project is 8%. Use the MACRS depreciation schedule. Year: 0 1 2 3 4 5 6 Thereafter Sales (millions of traps) 0 0.4 0.6 0.7 0.7 0.5 0.3 0 a. What is project NPV? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer in millions rounded to 4 decimal places.) b. By how much would NPV increase if the firm depreciated its investment using the 5-year MACRS schedule? (Do not round intermediate calculations. Enter your answer in whole dollars not in millions
In: Finance
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In: Math
3.Consider the market for gasoline in the U.S. Suppose that the price elasticity of demand has been estimated to be 0.3,while the priceelasticity of supply is estimated to be 0.6. Answer the following questions.
a)Construct a supply-and-demand diagram that illustrates the free-market equilibrium. How much do buyers pay? How much do sellers receive? Is there a difference between the price paid by buyers and the price received by sellers?
b)Suppose the federal government imposes a gasoline tax of $0.50 per gallon. Construct a supply-and-demand diagram that illustrates the effect of the tax on the market for gasoline. How does the tax impactthe price buyers pay? How about the effective price received by sellers? Is there a difference between the price paid by buyers and the price received by sellers? What happens to the number of transactions between buyers and sellers?
c)How is the gasoline tax distributed between buyers and sellers? That is, do buyers pay more or less of the $0.50 per-unit tax than sellers? Prove your answer with the pre-tax and post-tax equilibrium prices paid by buyers and received by sellers from (b) part.
d)Identify the areas of the graph that represent tax revenue and deadweight loss? Describe the intuition behind the concept of deadweight loss.
e)If the government repealed the gasoline tax, how would this change affect the price paid by buyers and the price received by sellers? What would happen to the deadweight loss?
In: Economics
In: Civil Engineering
Assume that there are two countries in the world: Home and Foreign. Home’s demand curve for wheat is D = 125 - 25P and supply curve is S = 20 + 40P. Suppose that Foreign is a much larger country, with domestic demand D* = 1100 - 300P and supply S* = 650 + 200P.
a) What would the price of wheat be in case of no trade in Home? b) What would the price of wheat be in case of no trade in Foreign?
Now assume that Home and Foreign can trade with each other (no barriers, i.e. free trade).
c) Derive the Home import demand curve equation (no graph
required) d) Derive the Foreign export supply curve equation (no
graph required) e) Calculate the free trade equilibrium world price
of wheat
f) Calculate the free trade equilibrium world trade volume
(quantity)
Now assume that Home imposes a specific tariff of 0.3 on wheat imports.
g) Calculate the price of wheat in Foreign in case of the
tariff
h) Calculate the price of wheat in Home in case of the tariff
i) Calculate the volume of trade (quantity) in case of the
tariff
j) Explain why the volume of trade decreases with imposing the
tariff
k) Explain (no graph or calculations required) who gains and who
loses from imposing the tariff in case of each of the following
groups: Home import-competing producers, Home consumers, Home
government.
Answer to E-K)
In: Economics
Problem 4
Consider the following economy:
|
Consumption Expenditure |
446,832 million |
|
Planned Investment Expenditure |
346,877 million |
|
Government Expenditure |
446,832 million |
|
Exports |
402,443 million |
|
Imports |
388,374 million |
|
Marginal Propensity to Save |
0.3 |
|
Marginal Tax Rate |
0.32 |
|
Autonomous Taxes |
301,240 million |
|
Marginal Propensity to Import (nx) |
0.04 |
(e) Calculate the marginal leakage rate. (0.5 mark)
(f) Assume that the natural rate of output for this economy is estimated as $1,200,000 million.
(i) Is this economy facing a recessionary or inflationary gap? (0.5 mark)
(ii) Illustrate the gap you identified in part (i) above using both the AS-AD Model and the Aggregate Expenditure Model. (1 mark)
(iii) Calculate the output ratio for this economy (0.5 mark)
(iv) If the government wishes to move the economy to its natural rate, will it need to increase or decrease spending? Calculate by how much it will need to change its spending. (1 mark)
(v) Consider the policy action undertaken in part (iv) above and illustrate the impact on the money market. (1 mark)
(vi) Given the impact on the money market determined in part (v) above, explain how this could affect the exchange rate market. (1.5 marks)
(vii) Explain the policy action the government could undertake if it decides that it wants to move the economy to its natural rate but doesn’t want the action to affect its budget position.
In: Economics
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Hula Enterprises is considering a new project to produce solar water heaters. The finance manager wishes to find an appropriate risk adjusted discount rate for the project. The (equity) beta of Hot Water, a firm currently producing solar water heaters, is 1.1. Hot Water has a debt to total value ratio of 0.3. The expected return on the market is 0.13, and the riskfree rate is 0.03. Suppose the corporate tax rate is 33 percent. Assume that debt is riskless throughout this problem. (Round your answers to 2 decimal places. (e.g., 0.16)) |
| a. | The expected return on the unlevered equity (return on asset, R0) for the solar water heater project is %. |
| b. | If Hula is an equity financed firm, the weighted average cost of capital for the project is %. |
| c. | If Hula has a debt to equity ratio of 1, the weighted average cost of capital for the project is %. |
| d. | The finance manager believes that the solar water heater project can support 15 cents of debt for every dollar of asset value, i.e., the debt capacity is 15 cents for every dollar of asset value. Hence she is not sure that the debt to equity ratio of 1 used in the weighted average cost of capital calculation is valid. Based on her belief, the appropriate debt ratio to use is %. The weighted average cost of capital that you will arrive at with this capital structure is %. |
In: Finance