For example, options are generally valued using the Black – Scholes model while the liabilities of life assurance firms are valued using the theory of present value.

For instance, the price of an option based on Black – Scholes and market implied volatility.

For more than three or four state variables, formulae such as Black Scholes ( i. e. analytic solutions ) do not exist, while other numerical methods such as the Binomial options pricing model and finite difference methods face several difficulties and are not practical.

For example in the standard Black – Scholes model, the stock price evolves as

For instance, if is the price at time of $ 1 that was invested in the money market at time 0, then the Black – Scholes formula says that all assets ( say ), priced in terms of the money market, are martingales with respect to the risk-neutral measure, ( say ).

For Manchester United, he played 688 games which places him at number 4 on the all-time list of appearances behind Paul Scholes, Bobby Charlton and Ryan Giggs.

For some time the Manor of Barwick and Scholes was in the ownership of the Gascoigne family of Parlington and Lotherton.

For others see Scholes.

For over 50 years after his retirement, he held the record for games played and runs scored in Melbourne District Cricket, before being passed by district stalwart John Scholes.

For by now the original cause of the quarrel, Philip's seizure of Gascony, was only one strand in the spider web of French interests that overlay all western Europe and that had been so well and closely spun that the lightest movement could set it trembling from one end to the other.

For the sad truth is that while one might write well without having read Bartleby The Scrivener, one is more likely, to write well if one has `` read it, and much else.

For a moment she thought of answering with the truth but she knew there were men who shied away from virginity, who demanded some degree of education in body as well as mind.

For the industry of this model, the effect of such public pressures in the past has been to hold the price well below the short-run profit-maximizing price ( given the wage rate and the level of GNP ), and even below the entry-limited price ( but not below average cost ).

For sprains and swellings, one pint of cider vinegar and half a pint of spirits of turpentine added to three well beaten eggs was said to give speedy relief.

For he remembered too well how he had brought back the loaded drinks to Burton and then returned to the kitchen to get weaker drinks for himself.

For the `` tide is well on the turn '', as the London Catholic weekly Universe has written.

he would look right through you while you were talking to him, and if you said, `` For Christ's sake, Donald, you've got Prussian blue all over your shirt '', he would smile, and nod, and an hour later the paint would be all over his pants as well.

For example, " aloin " is derived from Aloe vera and Aloe ferox and has important medical uses ( e. g. as a laxative and in the treatment of burns ) as well as cosmetic uses ( e. g. in skin and hair products ).

For example, in some groups, the group operation is commutative, and this can be asserted with the introduction of an additional axiom, but without this axiom we can do quite well developing ( the more general ) group theory, and we can even take its negation as an axiom for the study of non-commutative groups.

For referring specifically to a U. S. national and things, the words used are estadunidense ( also spelled estado-unidense ) ( United States person ), from Estados Unidos da América, and ianque ( Yankee ), but the term most often used is norte-americano, even though it could, as with its Spanish equivalent, in theory apply to Canadians, Mexicans, etc., as well.

For example, " piaf " was a Parisian argot word for " sparrow "; after being taken up by the singer Edith Piaf, this meaning became well known in France and worldwide, and no longer serves the purpose of a secret language.

" For clothing, they prohibited leather because animals were killed for it, as well as cotton, silk, and wool, because they were products of slave labor.

" For their protection as well, his family were forced to leave Greeneville ; they would not return home for eight years.

For David Hume, delicacy of taste is not merely " the ability to detect all the ingredients in a composition ", but also our sensitivity " to pains as well as pleasures, which escape the rest of mankind.

For example, his engraving of The Last Supper of 1523 has often been understood to have an evangelical theme, focussing as it does on Christ espousing the Gospel, as well the inclusion of the Eucharistic cup, an expression of Protestant utraquism, although this interpretation has been questioned.

For a period after World War I, Steiner was extremely active and well known in Germany, in part because he lectured widely proposing social reforms.

For instance, relatively new biostatistics departments have been founded with a focus on bioinformatics and computational biology, whereas older departments, typically affiliated with schools of public health, will have more traditional lines of research involving epidemiological studies and clinical trials as well as bioinformatics.

For the 1966 tour to Australia and New Zealand John Robins became the first Lions Coach, and the trip started off very well for the Lions, who stormed through Australia, winning five non-tests and drawing one ; and most notably defeating Australia in two tests as well.

For exilic and post-exilic readers, the land was both the sign of Yahweh's faithfulness and Israel's unfaithfulness, as well as the centre of their ethnic identity.

For example, Dublin has hard water well suited to making stout, such as Guinness ; while Pilsen has soft water well suited to making pale lager, such as Pilsner Urquell.

Rock " and " Rocky the Rockin ' Rabbit " for Sally Starr on Arcade, and "( Ya Gotta ) Sing For The Ladies " and " Butterfly Love " for Ginger Shannon and Johnny Montana in 1960 on Arcade as well as the unissued " I'm Shook " in 1958.

For although I had crossed a corner of the hall on my way to the toilet I still could not tell for sure how far to the rear the darkness extended.

For a blood-chilling ring of terror to the very sound of his name was the tool he needed for the job he'd promised to do.

For better or for worse, we all now live in welfare states, the organizing principle of which is collective responsibility for individual well-being.

For ten minutes they ran beneath the squall, raising their arms and, for the first time, shouting and capering.

For this love of the boy for his mother is a hopeless and forbidden love, doomed by its nature.

Later Helion wrote of this phase: `` For years I built for myself a subtle instrument of relationships -- colors and forms without a name.

For innocence, of all the graces of the spirit, is I believe the one most to be prayed for.

For a freshman Congressman to read political Lessons to graybeard Democrats was poor policy for one who needed to make friends.

For some time, despondency in some Northern quarters had been displayed in two ways -- an eagerness for peace and a dissatisfaction with Lincoln.

For them only a little more needed to be learned, and then all physical knowledge could be neatly sorted, packaged and put in the inventory to be drawn on for the solution of any human problem.

For a time, urging Breasted to give up his public relations work and take up writing instead, he hoped to persuade him to become his assistant in research for the labor novel ; ;

For a time it appeared that a common European army might be created, but the project for a European Defense Community was rejected by the French National Assembly in 1954.

In his recent book, Hurray For Anything ( 1957 ), one of the most important short poems -- and it is the title poem for one of the long jazz arrangements -- is written for recital with jazz.

For some time the Communists honored the distinction between the Soviet zone of Germany and the Soviet sector of Berlin by promulgating separately the laws for the two areas.

For it was the millions of buffalo and prairie chicken and the endless seas of grass that symbolized for a whole generation of Americans the abundant supply that was to take many of them westward when the Ohio and Mississippi valleys began to fill.

For the most part, however, the new version is contemporary and, as such, should be the means for many to attain a clearer comprehension of the meaning of those words recorded so many hundreds of years ago by the first followers of Christ.

For those who `` like poetry but never get around to reading it '', the Library of Congress makes it possible for poets to be heard reading their own work.

For it is the family that, in China, has always provided social security for the indigent, the sick, the down-and-out members of the clan.

For years he wore hand-me-down suits and homemade paper collars, was even driven to scrounging for cigarette butts in Vienna's gutters.

For an instant John longed for the sound of the bells of Noyon-la-Sainte, the touch of his mother's hand, the lilt of Charles's voice in the square raftered rooms, his father's bass tones rumbling to the canons, and the sight of the beloved bishop.

For further information, contact the Bank for Cooperatives serving the region, or the Farm Credit Administration, Research and Information Division, Washington 25, D.C..

For the dignity, the influence, and the power of the legislative branch of our Government -- it is a privilege for us to do honor to this great man who represents not alone his own district but all the people of our country.

For what Sam Rayburn's life in this House teaches us is that loyalty and character are not divisive and there is no such thing as being for your country and neglecting your district.