Question

In: Finance

The Arkham Company has a ratio of long-term debt to long-term debt plus equity of .43...

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

Solutions

Expert Solution

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

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