In: Finance
The Arkham Company has a ratio of long-term debt to long-term
debt plus equity of .43 and a current ratio of 1.5. Current
liabilities are $990, sales are $6,410, profit margin is 9.3
percent, and ROE is 20.4 percent. What is the amount of the firm’s
net fixed assets? (Do not round intermediate calculations
and round your answer to 2 decimal places, e.g.,
32.16.)
Net fixed assets =
neither of these are the answer 5362.74, 3,683.75, 5378.53
Fixed Assets $ 4,631.68
Working:
Calculation of fixed assets with given details is series of calculation which are linked with each other. | |||||||||
So, fixed assets is calculated as under: | |||||||||
Current Assets | = | Current Liabilities x Current ratio | |||||||
= | $ 990 | x | 1.5 | ||||||
= | $ 1,485 | ||||||||
Net Income | = | Sales x Profit Margin | |||||||
= | $ 6,410 | x | 9.3% | ||||||
= | $ 596.13 | ||||||||
Equity | = | Net Income / ROE | |||||||
= | $ 596.13 | / | 20.40% | ||||||
= | $ 2,922.21 | ||||||||
Suppose long term debt is "x" | |||||||||
and, | |||||||||
D | Long term debt | ||||||||
E | Equity | ||||||||
Now, | |||||||||
D/(D+E) | = | 0.43 | |||||||
D/(D+2922.21) | = | 0.43 | |||||||
D | = | 0.43D+1256.55 | |||||||
0.57D | = | 1256.55 | |||||||
D | = | 2,204.47 | |||||||
So, | |||||||||
Current Laibilities | 990 | ||||||||
Long term liabilities | 2,204.47 | ||||||||
Total Debt | 3,194.47 | ||||||||
As per balance sheet equiation, | |||||||||
Total Assets | = | Total Debt + Total Equity | |||||||
= | 3,194.47 | + | 2,922.21 | ||||||
= | 6,116.68 | ||||||||
Fixed Assets | = | Total Assets | - | Current Assets | |||||
= | 6,116.68 | - | $ 1,485 | ||||||
= | 4,631.68 | ||||||||