golden ratio

Algebra

(noun)

The irrational number (approximately 1.618), usually denoted by the Greek letter φ (phi), which is equal to the sum of its own reciprocal and one, or, equivalently, is such that the ratio of one to the number is equal to the ratio of its reciprocal to one.

Related Terms

  • equiprobable
  • probability
Art History

(noun)

The irrational number (approximately 1·618), usually denoted by the Greek letter φ (phi), which is equal to the sum of its own reciprocal and 1, or, equivalently, is such that the ratio of 1 to the number is equal to the ratio of its reciprocal to 1. Some twentieth-century artists and architects have proportioned their works to approximate this—especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter equals this number—believing this proportion to be aesthetically pleasing.

Related Terms

  • Fenestrations

Examples of golden ratio in the following topics:

  • 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.
  • Theoretical Probability

    • where $\phi =\frac{1+\sqrt { 5 } }{ 2 }$ is the golden ratio.
  • 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.
  • 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
  • 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":
  • 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.
  • 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.
  • 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
  • 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.
  • 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.
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