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Topic: Ratio


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  The Sharpe Ratio
The historic Sharpe Ratio is closely related to the t-statistic for measuring the statistical significance of the mean differential return.
According to the ratio of expected return to standard deviation, X (5/10, or 0.50) is superior to Y (8/20, or 0.40).
In the original applications of the ratio, where the benchmark is taken to be a one- period riskless asset, the differential return represents the payoff from a unit investment in the fund, financed by borrowing.
www.stanford.edu /~wfsharpe/art/sr/sr.htm   (5543 words)

  
  Ratios
Generally, though, ratio problems will just be a matter of stating ratios or simplifying them.
Depending on the text (or instructor), you may be supposed to keep the units on a ratio.
Ratios are the comparing of one thing to another (miles to gallons, feet to yards, ducks to geese, et cetera).
www.purplemath.com /modules/ratio.htm   (490 words)

  
  Ratio Summary
Ratios are generally used to relate the magnitude of two like parameters of an object (or two or more similar objects) relative to one another.
The ratio of the mass of Jupiter to the mass of the Earth is approximately 317.8:1.
The ratio of hydrogen atoms to oxygen in water is 2:1, or two parts to one.
www.bookrags.com /Ratio   (1508 words)

  
 Ratio and Proportion
Expressed as a fraction, with the numerator equal to the first quantity and the denominator equal to the second, the answer would be 7/4.
Are the ratios 3 to 4 and 6:8 equal?
A ratio of 1:7 is not the same as a ratio of 7:1.
www.mathleague.com /help/ratio/ratio.htm   (919 words)

  
 Golden ratio
This idea that Plato began the study of [the golden ratio] as a subject in itself is not in the least inconsistent with the supposition that the problem of Euclid II, 11 was solved by the Pythagoreans.
Heron certainly begins to compute approximate ratios, and in his work he gives approximate values for the ratio of the area of the pentagon to the area of the square of one side.
The first known calculation of the golden ratio as a decimal was given in a letter written in 1597 by Michael Maestlin, at the University of Tübingen, to his former student Kepler.
www-groups.dcs.st-and.ac.uk /~history/HistTopics/Golden_ratio.html   (1650 words)

  
 [No title]   (Site not responding. Last check: 2007-11-07)
This ratio (the result of dividing operating profit by net sales and multiplying by 100) is moat often used to determine the profit position relative to sales.
Since the information used to derive ratios is itself based on accounting rules and personal judgments, as well as facts, the ratios cannot be considered absolute indicators of a firm's financial position.
Ratios are only one means of assessing the performance of the firm and must be considered in perspective with many other measures.
www.sba.gov /gopher/Business-Development/Success-Series/Vol1/Prof/prof3.txt   (764 words)

  
 Golden Ratio
Other ratios were of interest as well and the third ratio to be considered was the ratio of every third term, or F(n + 3)/ F(n).
The values for the computed ratios for n = 1 to 40 are found in column D. As n increased, it could be seen that there was again a limiting value of approximately 4.23607.
The values for the computed ratios for n = 1 to 40 are found in column E of the spreadsheet.
jwilson.coe.uga.edu /emt669/Student.Folders/Frietag.Mark/Homepage/Goldenratio/goldenratio.html   (2304 words)

  
 Ratio - Graphing Ratios
When expressing ratios, we generally treat them like fractions and "reduce" or simplify them to the smallest numbers possible (fraction and colon forms use two numbers, as a 3:1 ratio, whereas the decimal fraction form uses a single number—for example, 3.0—that is implicitly compared to the whole number 1).
Then, plot the ratios as points on the graph by using the first number of each ratio for the distance along one axis and the second number of each ratio for the second axis.
Ratios might be stated as "55 to 1" and written 55:1 or 55/1.
www.indiana.edu /~atmat/units/ratio/ratio_t3.htm   (944 words)

  
 Michael E. Mills reviews Digit Ratio: A Pointer to Fertility, Behavior and Health by John T. Manning
Manning reviews evidence to suggest that the ratio of the length between the ring and index finger is somewhat sexually dimorphic, that this ratio is determined during early fetal development, and that it is influenced by sex hormones, particularly testosterone.
Specifically, it is the ratio of the length of the index finger (digit 2, or "2D") and the ring finger (digit 4, or "4D") that is sexually dimorphic.
The ratio of index finger length to ring finger length is called the “2D:4D digit ratio,” or more simply, the “digit ratio.” Manning reports that, for males, the index finger is generally about 96 percent of the length of the ring finger, which gives an average digit ratio for males of.96.
human-nature.com /nibbs/02/manning.html   (2015 words)

  
 Gain Ratios--A New Way to Designate Bicycle Gears
This ratio would be calculated as follows: divide the wheel radius by the crank length; this will yield a single radius ratio applicable to all of the gears of a given bike.
The individual gear ratios are calculated as with gear inches, using this radius ratio instead of the wheel size.
I call this a "gain ratio" (with thanks to Osman Isvan for suggesting this term.) What it means is that for every inch, or kilometer, or furlong the pedal travels in its orbit around the bottom bracket, the bicycle will travel 5.58 inches, or kilometers, or furlongs.
www.sheldonbrown.com /gain.html   (798 words)

  
 What is Poisson's ratio?
Poisson's ratio is related to elastic moduli K, the bulk modulus; G as the shear modulus; and E, Young's modulus, by the following.
The Poisson's ratio in a viscoelastic material is time dependent in the context of transient tests such as creep and stress relaxation.
In geological applications, the ratio of compressional to shear wave speed is important in inferring the nature of the rock deep in the Earth.
silver.neep.wisc.edu /~lakes/PoissonIntro.html   (1250 words)

  
 Ratio
After all, the exact ratio of winners to losers is (to the nearest millionth) 1.660754, and he reported a ratio of 14 to 9, which is 1.555555, for an error of 0.105199; he could have said ``5 to 3'', and introduced an error of only 1.666667-1.660754=0.005913.
The estimate ``5 to 3'' is not as accurate as ``1498 to 902'' of course; evidently, another goal is to use small integers to express the ratio.
Finally, of course, 5/4 is exactly the ratio, and so it is the last number reported in the sequence.
acm.uva.es /p/v6/654.html   (584 words)

  
 Skew-T Log-P Diagram: Mixing Ratio
The mixing ratio is the ratio of the mass of water vapor in grams to the mass of dry air in kilograms.
Follow the mixing ratio line down from the point where the pressure line and the dewpoint plot intersect - the value of the mixing ratio line is the mixing ratio at the given level of the atmosphere.
The ratio of the mixing ratio to the saturation mixing ratio is the relative humidity at a given level, often seen in percentage form.
www.personal.psu.edu /smd293/meteo482/mixingratio.html   (1084 words)

  
 Math Forum: Ask Dr. Math FAQ: Golden Ratio, Fibonacci Sequence
A Golden Rectangle is a rectangle in which the ratio of the length to the width is the Golden Ratio.
The ratio of the lengths of the two parts of this segment is the Golden Ratio.
The Golden Ratio is the ratio of BC to AB.
mathforum.org /dr.math/faq/faq.golden.ratio.html   (497 words)

  
 Small Business Calculators: Current ratio
Your current ratio, a comparison of current assets to current liabilities, will be particularly important to you if you're thinking of borrowing money or getting credit from one of your suppliers.
Though acceptable ratios may vary from industry to industry, a current ratio of 2.00:1 is considered the norm.
An improving ratio could be the result of a brighter financial picture or an overstocked warehouse (inventory is considered an asset).
www.bankrate.com /coinfo/calcpage/ratiocurrent.asp   (195 words)

  
 CATHOLIC ENCYCLOPEDIA: Ratio Studiorum
Several Jesuits prominent in the drawing up of the Ratio were natives of the Netherlands, or had studied in the most celebrated schools of that country.
The Ratio insisted not on a variety of branches taught simultaneously (the bane of many modern systems), but on a few well-related subjects, and these were to be taught thoroughly.
Some writers have asserted that the Ratio prescribed Latin because it was the language of the Church, and of political and scholarly intercourse of former centuries, and that for this reason the perfect mastery of Latin, the acquisition of a Ciceronian style, was the primary aim of Jesuit education.
www.newadvent.org /cathen/12654a.htm   (3438 words)

  
 The Golden Section - the Number and Its Geometry
Euclid used this phrase to mean the ratio of the smaller part of this line, GB to the larger part AG (ie the ratio GB/AG) is the SAME as the ratio of the larger part, AG, to the whole line AB (ie is the same as the ratio AG/AB).
The ratio itself is mentioned in several places and, since Euclid seems to have collected already known methods and facts then the golden ratio would have been known well before his time too.
The ratio of the length of a face of the Great Pyramid (from centre of the bottom of a face to the apex of the pyramid) to the distance from the same point to the exact centre of the pyramid's base square is about 1·6.
www.mcs.surrey.ac.uk /Personal/R.Knott/Fibonacci/phi.html   (4854 words)

  
 Current Ratio Formula | Quick Ratio Formula | Cash Ratio Formula
A current ratio that is too high can suggest that a company is hoarding assets instead of using them to grow the business -- not the worst thing in the world, but potentially something that could impact long-term returns.
Most people look for a quick ratio in excess of 1.0 to ensure that there is enough cash on hand to pay the bills and keep on going.
As with the current ratio, it always pays to compare this ratio to that of peers in the same industry in order to understand what it means in context.
www.fool.com /School/BalanceSheet/BalanceSheet05.htm   (636 words)

  
 Current Ratio
The ratio is mainly used to give an idea of the company's ability to pay back its short-term liabilities (debt and payables) with its short-term assets (cash, inventory, receivables).
A ratio under 1 suggests that the company would be unable to pay off its obligations if they came due at that point.
This ratio is similar to the acid-test ratio except that the acid-test ratio does not include inventory and prepaids as assets that can be liquidated.
www.investopedia.com /terms/c/currentratio.asp   (495 words)

  
 Widescreen-o-Rama! All About Aspect Ratios
The relationship between the width of a film image and its height is known as its aspect ratio, and from the early days of film (starting in the late-1890s) until the early-1950s, almost all films had a standard aspect ratio of 1.33:1 (technically, it was actually 1.37:1, but 1.33:1 is the recognized standard).
Some of you may remember 3D films, which required that you wear a pair of rather silly looking stereoscopic glasses (one of the plastic filters the glasses used for "lenses" was blue and one was red).
There can be no doubt that widescreen films convey much more dynamic imagery, with the wider aspect ratio working to enhance the dramatic impact of the film upon the viewer.
www.thedigitalbits.com /articles/anamorphic/aspectratios/widescreenorama.html   (1128 words)

  
 Ratios and Proportions - Ratios - First Glance   (Site not responding. Last check: 2007-11-07)
When we express ratios in words, we use the word "to" -- we say "the ratio of something to something else" -- for example, the ratio of squares to triangles in the illustration below.
Ratios can be written in several different ways.
For example, the ratio 2:4 is equal to the ratio 1:2.
www.math.com /school/subject1/lessons/S1U2L1GL.html   (136 words)

  
 ratio   (Site not responding. Last check: 2007-11-07)
A ratio is a way of expressing the relationship between one quantity and another.
If a very dense but wealthy prince were being tutored by fifty teachers, the teacher/student ratio would be fifty to one, and the student/teacher ratio would be one to fifty.
The lowest possible ratio is one to one: one teacher to one student.
www.wsu.edu /~brians/errors/ratio.html   (129 words)

  
 Definition: Odds ratio
The odds ratio is a way of comparing whether the probability of a certain event is the same for two groups.
An odds ratio less than one implies that the event is less likely in the first group.
Like the odds ratio, a relative risk equal to 1 implies that the the event is equally probable in both groups.
www.childrensmercy.org /stats/definitions/or.htm   (615 words)

  
 Ratio
Most commonly used solvency ratio, but only a good measure if A/R and inventories are relatively liquid (i.e., their turnover rates are relatively high).
Like short-term performance ratios, it is good for a company to keep its long-term performance ratios close to the norm of its industry and its competition.
Its D/E (and related) ratios will appear to be lower, while its interest coverage ratio will appear higher, relative to a firm that expenses all of its interest costs, all else equal.
users.wpi.edu /~kwilkens/Lucent/Ratio.htm   (700 words)

  
 P/E ratio: A reality check
The P/E ratio can be looked at as a price tag: that is, how many times the earnings ratio is the market willing to pay to be part of the company's fortunes.
The PEG ratio is the ratio of the P/E ratio to future growth in earnings.
The use of the PEG ratio is however based on a thumb rule and is not a valid financial law.
www.rediff.com /money/2004/jun/04ratio.htm   (1568 words)

  
 Algebra: Ratios - Math for Morons Like Us   (Site not responding. Last check: 2007-11-07)
Ratios are continually being utilized in math and make many things much easier to do.
You know there are 12 total marbles (5 + 7 = 12), so you know the ratio of red marbles to total marbles must be 5:12 and the ratio of blue marbles to total marbles must be 7:12.
Problem: The ratio of red marbles to blue marbles is 5 to 7.
library.thinkquest.org /20991/alg/ratios.html   (443 words)

  
 Golden Ratio
Show that the ratio EF/EH is the golden ratio; that is, show that rectangle EFGH is also a golden rectangle.
Consider the ratio of the whole AC to the part AB, and the part AB to the other part BC.
Prove that ACD is a short golden triangle: that it has two equal short sides, and the ratio of long to short is the golden ratio.
www.math.csusb.edu /courses/m129/golden/golden_ratio.html   (1363 words)

  
 The Golden Ratio and The Fibonacci Numbers
Whether or not the Golden Ratio or the Golden Rectangle are of aesthetic significance, the ratio does turn out to have considerable significance in problems of natural symmetry.
If the Golden Ratio turns up in examples of five-fold symmetry, it may well be because the number itself is fundamentally related to the number five.
For instance, at right is a continued fraction for the ratio between the the length of the lunar (synodic) month (29.530588 days), and the length of the solar (tropical) year (365.24219878 days).
www.friesian.com /golden.htm   (1965 words)

  
 The content-to-code ratio | Holovaty.com
This topic intrigued me, so I threw together an application that calculates the ratio of text content to total page size for a given Web page.
It'll strip all the HTML, JavaScript and CSS, and determine how much of the document is actual text.
Not surprisingly, blogs outperformed news sites considerably -- probably because blogs tend to use CSS to separate content from code, and they're more text-driven than news-site home pages anyway.
www.holovaty.com /blog/archive/2002/11/07/2226   (316 words)

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