Math Problem Statement
The bond indenture for the 10-year, 8% debenture bonds, dated January 2, 20Y8, required working capital of $200,000, a current ratio of 2.0, and a quick ratio of 1.0 at the end of each calendar year until the bonds mature. At December 31, 20Y9, the three measures were computed as follows:
Current assets: Cash
$120,000 Temporary investments
150,000 Accounts receivable (net)
240,000 Inventories
190,000 Prepaid expenses
50,000 Intangible assets
30,000 Property, plant, and equipment
540,000 Total current assets (net) $1,320,000 Current liabilities: Accounts and short-term notes payable
$440,000 Accrued liabilities
160,000 Total current liabilities (600,000) Working capital $ 720,000 2.
Current ratio
2.2 $1,320,000 ÷ $600,000
Quick ratio
1.5 $660,000 ÷ $440,000
a. There are errors in the calculation of the three measures of current position analysis. Determine the correct amounts. Round ratios to two decimal places.
Working capital
$fill in the blank 1
Current ratio fill in the blank 2
Quick ratio fill in the blank 3
Solution
To correct the errors in the calculations for working capital, current ratio, and quick ratio, we need to accurately follow the formulas and use the appropriate values from the financial data provided.
1. Working Capital
Working capital is calculated as follows:
From the dataTo correct the errors in the calculations for working capital, current ratio, and quick ratio, we need to accurately follow the formulas and use the appropriate values from the financial data provided.
1. Working Capital
Working capital is calculated as follows:
From the
- Total Current Assets = $120,000 (Cash) + $150,000 (Temporary Investments) + $240,000 (Accounts Receivable) + $190,000 (Inventories) + $50,000 (Prepaid Expenses) = $750,000
- Total Current Liabilities = $440,000 (Accounts and Short-term Notes Payable) + $160,000 (Accrued Liabilities) = $600,000
Thus, \text{Working Capital} = $750,000 - $600,000 = $150,000
2. Current Ratio
The current ratio is calculated as follows:
Using the values calculated: \text{Current Ratio} = \frac{$750,000}{$600,000} = 1.25
3. Quick Ratio
The quick ratio is calculated by excluding inventories and prepaid expenses from current assets: = $120,000 + $150,000 + $240,000 = $510,000
= \frac{$510,000}{$600,000} = 0.85
Summary of Correct Calculations
- Working Capital: $150,000
- Current Ratio: 1.25
- Quick Ratio: 0.85
Questions for Further Understanding:
- What are the implications of a lower than required quick ratio for the company?
- How can the company improve its working capital position?
- Why is it important to meet the current ratio and quick ratio requirements stipulated in the bond indenture?
- What impact could failing to meet these financial covenants have on the company's bonds?
- How do changes in current liabilities affect the working capital?
- How does the composition of current assets (cash vs. receivables vs. inventories) impact liquidity ratios?
- What strategies can a company use to maintain its current and quick ratios within the required limits?
- How do seasonal variations in sales and expenses impact the calculation of these ratios?
Tip:
Regularly monitoring and managing accounts receivable and inventory levels can significantly impact a company's liquidity ratios and overall financial health.
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Math Problem Analysis
Mathematical Concepts
Financial Analysis
Working Capital Management
Liquidity Ratios
Formulas
Working Capital = Total Current Assets - Total Current Liabilities
Current Ratio = Total Current Assets / Total Current Liabilities
Quick Ratio = Quick Assets / Total Current Liabilities
Theorems
-
Suitable Grade Level
Professional
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