golden ratio
Algebra
Art History
Examples of golden ratio in the following topics:
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Proportion and Scale
- These systems of proportion are often quite simple: whole number ratios or incommensurable ratios (such as the golden ratio) were determined using geometrical methods.
- Among the various ancient artistic traditions, the harmonic proportions, human proportions, cosmic orientations, various aspects of sacred geometry, and small whole-number ratios were all applied as part of the practice of architectural design.
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Theoretical Probability
- where $\phi =\frac{1+\sqrt { 5 } }{ 2 }$ is the golden ratio.
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Total Debt to Total Assets
- The debt ratio is expressed as Total debt / Total assets.
- Financial ratios are categorized according to the financial aspect of the business which the ratio measures.
- Debt ratios measure the firm's ability to repay long-term debt.
- The higher the ratio, the greater risk will be associated with the firm's operation.
- Like all financial ratios, a company's debt ratio should be compared with their industry average or other competing firms.
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Ratio Analysis and EPS
- Financial ratios are categorized according to the financial aspect of the business which the ratio measures .
- Acid-test ratio (Quick ratio): (Current assets - Inventory - Prepayments) / Current liabilities
- Times interest earned ratio (Interest Coverage Ratio): EBIT / Annual interest expense
- Return on assets (ROA ratio or Du Pont Ratio): Net income / Average total assets
- Ratio analysis includes profitability ratios, activity (efficiency) ratios, debt ratios, liquidity ratios and market (value) ratios
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Using the Receivables Turnover Ratio
- The receivables turnover ratio measures how efficiently a firm uses its assets.
- The receivables turnover ratio, also called the debtor's turnover ratio, is an accounting measure used to measure how effective a company is in extending credit as well as collecting debts.
- The receivables turnover ratio is an activity ratio, measuring how efficiently a firm uses its assets.
- A high ratio implies either that a company operates on a cash basis or that its extension of credit and collection of accounts receivable is efficient; in contrast, a low ratio implies the company is not making the timely collection of credit.
- Sometimes the receivables turnover ratio is expressed as the "days' sales in receivables":
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Acid Test Ratio
- The acid-test ratio, also known as the quick ratio, measures the ability of a company to use its near cash or quick assets to immediately extinguish or retire its current liabilities.
- The acid-test ratio, like other financial ratios, is a test of viability for business entities but does not give a complete picture of a company's health.
- Generally, the acid test ratio should be 1:1 or higher; however, this varies widely by industry.
- A low acid-test ratio may be a sign of poor use of cash by a business.
- The acid-test ratio is similar to the current ratio except the value of inventory is omitted from the calculation.
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Current Ratio
- The current ratio is a financial ratio that measures whether or not a firm has enough resources to pay its debts over the next 12 months.
- The current ratio is a financial ratio that measures whether or not a firm has enough resources to pay its debts over the next 12 months.
- Along with other financial ratios, the current ratio is used to try to evaluate the overall financial condition of a corporation or other organization.
- This can allow a firm to operate with a low current ratio.
- The current ratio can be use to evaluate a company's liquidity.
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Classification
- Ratio analysis consists of calculating financial performance using five basic types of ratios: profitability, liquidity, activity, debt, and market.
- Most analysts think of financial ratios as consisting of five basic types:
- Activity ratios, also called efficiency ratios, measure the effectiveness of a firm's use of resources, or assets.
- Market ratios are concerned with shareholder audiences.
- Classify a financial ratio based on what it measures in a company
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Current Ratio
- Current ratio is a financial ratio that measures whether or not a firm has enough resources to pay its debts over the next 12 months.
- Acid Test - a ratio used to determine the liquidity of a business entity.
- The current ratio is a financial ratio that measures whether or not a firm has enough resources to pay its debts over the next 12 months.
- This can allow a firm to operate with a low current ratio.
- If all other things were equal, a creditor, who is expecting to be paid in the next 12 months, would consider a high current ratio to be better than a low current ratio.
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Performance per Share
- Valuation ratios describe the value of shares to shareholders, and include the EPS ratio, the P/E ratio, and the dividend yield ratio.
- Price to Earnings (P/E) ratio relates market price to earnings per share.
- A higher P/E ratio means that investors are paying more for each unit of net income; therefore, the stock is more expensive compared to one with a lower P/E ratio.
- P/E Ratio = Market Price Per Share / Annual Earnings Per Share .
- Dividend payout ratio is the fraction of net income a firm pays to its stockholders in dividends: Dividend Payout Ratio = Dividends / Net Income for the Same Period.