What is the companys beta assume that the risk-free rate is


Assignment: Mastery Finance Calculations

Problem 1

Hologram Corporation is a holding company with four main subsidiaries. The percentage of its business coming from each of the subsidiaries, and their respective betas, are as follows:

Subsidiary

Percentage of Business

Beta

Water Company

60%

.70

Cable Company

25%

.90

Real estate

10%

1.30

Technology companies

5%

1.50

1. What is the company's beta?

2. Assume that the risk-free rate is 6% and that the market risk premium is 5%. What is the holding company's required rate of return?

Problem 2

Surf Bicycles Inc. Will manufacture and sell 200,000 units next year. Fixed costs will total $500,000, and variable costs will be 60% of sales. The bicycles will sell for $200 each.

The firm wants to achieve a level of earnings before interest and taxes of $250,000. How many units must they sell to achieve that result?

Problem 3

Alpha Electronics has the following income statement:

Sales

400,000

Total variable costs

240,000

Contribution margin

160,000

Fixed costs

140,000

EBIT

20,000

Calculate the new EBIT and percent change, assuming:

1. Sales increase by 20%
2. Sales decrease by 20%

Problem 4

Given the following information:

Total asset turnover

2.0 times

Accounts receivable turnover

25 times

Fixed asset turnover

5 times

Inventory turnover (based on cost of goods sold)

5 times

Current ratio

2

Sales (all on credit)

$5,000,000

Cost of goods sold

70% of sales

Debt ratio

60%

Calculate:

Cash
Accounts receivable
Inventories
Net fixed assets
Total assets
Current liabilities
Long-term debt
Total liabilities
Common equity
Total liabilities and common equity

Problem 5

Given the following information:

Total asset turnover

2.0 times

Accounts receivable turnover

25 times

Fixed asset turnover

5 times

Inventory turnover (based on cost of goods sold)

5 times

Current ratio

2

Sales (all on credit)

$5,000,000

Cost of goods sold

70% of sales

Debt ratio

60%

Calculate the following information for 20X1:

Income Statement (000)




20X0

20X1

Sales

1500


Cost of goods sold

975


Gross profit

525


Operating costs

300


Depreciation expense

40


Net Operating Profit

185


Interest Expense

10


Earnings Before Taxes

175


Taxes

70


Net Income

105


Dividends

$20


Addition to Retained Earnings

$85


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Corporate Finance: What is the companys beta assume that the risk-free rate is
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