Metaplectic structure - Revision history

134.206.80.237: /* References */

2014-10-14T10:41:30Z

References

← Older revision		Revision as of 12:41, 14 October 2014
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	In [[mathematical finance]], the '''CEV''' or constant elasticity of [[variance]] model is a [[stochastic volatility]] model, which attempts to capture stochastic volatility and the [[leverage effect]]. The model is widely used by practitioners in the financial industry, especially for modelling [[equities]] and [[commodities]]. It was developed by [[John Cox]] in 1975<~~ref~~>~~Cox, J. "Notes on Option Pricing I: Constant Elasticity of Diffusions." Unpublished draft, Stanford University~~, ~~1975~~.~~</ref>~~		Частное предприятие «Илигран»<br>220073, г. [http://iligran.by/%d0%b0%d0%b2%d1%82%d0%be%d0%b2%d1%8b%d1%88%d0%ba%d0%b8/ аренда автовышки Минск], ул. Кальварийская, дом 25, офис 424<br>Телефоны:<br><br>+375 44 545-67-00<br><br>+375 29 379-91-88<br>+375 17 204 42 28 (факс)<br>+375 17 204 42 26 (факс)<br>+375 17 204 01 72<br>Email: 2044228@mail.ru<br><br>http://iligran.by

	~~== Dynamics ==~~

	~~The '''CEV''' model describes a process which evolves according to the following~~ [~~[stochastic differential equation]]~~:

	~~:<math>dS_t=\mu S_t dt + \sigma S_t ^ \gamma dW_t<~~/~~math>~~

	~~The constant parameters <math>\sigma,\;\gamma<~~/~~math> satisfy the conditions <math>\sigma\geq 0,\;\gamma\geq 0</math>~~.

	~~The parameter <math>\gamma<~~/~~math> controls the relationship between volatility and price, and is the central feature of the model. When <math>\gamma < 1<~~/~~math> we see the so-called leverage effect~~, ~~commonly observed in equity markets, where the volatility of a stock increases as its price falls~~. ~~Conversely~~, ~~in commodity markets~~, ~~we often observe~~ <~~math~~>~~\gamma~~ > 1<~~/math~~>~~, the so~~-~~called inverse leverage effect,~~<~~ref~~>~~Emanuel, D.C., and J.D. MacBeth, 1982. "Further Results of the Constant Elasticity of Variance Call Option Pricing Model." Journal of Financial and Quantitative Analysis, 4 : 533–553~~<~~/ref~~><~~ref~~>~~Geman, H, and Shih, YF. 2009. "Modeling Commodity Prices under the CEV Model." The Journal of Alternative Investments 11~~ (3)~~: 65–84. {{doi\|10.3905/JAI.2009.11.3.065}}~~<~~/ref~~> ~~whereby the volatility of the price of a commodity tends to increase as its price increases.~~

	~~==See also==~~
	*[[Volatility (~~finance~~)]]
	*[[Stochastic volatility]]
	*[[SABR volatility model]]

	~~==References==~~
	~~{{Reflist}}~~

	~~==External links==~~
	*[http:~~//papers~~.~~ssrn.com/sol3/papers.cfm?abstract_id=1850709 Asymptotic Approximations to CEV and SABR Models]~~
	*[http://~~www~~.~~serdarsen.somee.com/CEV.aspx Price and implied volatility under CEV model with closed formulas, Monte-Carlo and Finite Difference Method]~~
	*[http://www.delamotte-b.fr/CEV.aspx Price and implied volatility of European options in CEV Model] delamotte-b.fr


	~~{{Derivatives market}}~~
	~~{{Volatility}}~~
	~~{{Stochastic processes}}~~

	~~[[Category:Mathematical finance]]~~
	~~[[Category:Options (finance)]]~~
	~~[[Category:Derivatives (finance)]]~~
	~~[[Category:Finance theories]]~~

en>John of Reading: /* Obstruction */Typo fixing, replaced: the the → the (2) using AWB

2013-06-10T19:03:30Z

Obstruction: Typo fixing, replaced: the the → the (2) using AWB

← Older revision		Revision as of 21:03, 10 June 2013
Line 1:		Line 1:
			In [[mathematical finance]], the '''CEV''' or constant elasticity of [[variance]] model is a [[stochastic volatility]] model, which attempts to capture stochastic volatility and the [[leverage effect]]. The model is widely used by practitioners in the financial industry, especially for modelling [[equities]] and [[commodities]]. It was developed by [[John Cox]] in 1975<ref>Cox, J. "Notes on Option Pricing I: Constant Elasticity of Diffusions." Unpublished draft, Stanford University, 1975.</ref>

			== Dynamics ==

	~~Do you have a heart for customer service? If so, you can make money online answering phone calls for businesses. Additionally, you can make money by chatting online with a business~~'s customer to help them solve problems and answer their questions. There are many customer service sites available including: LiveOps, Working Solutions [http://www.comoganhardinheiro101.com/homebox/ ganhar dinheiro] como ganhar dinheiro na internet and ACD Direct. Write online to make money. There are quite a few legitimate companies that pay people to write articles online. You can find many different companies that will pay you to write different content with varying topics. If you enjoy writing, you should do research to look for companies that will pay you to write online. <br><br><br>Affiliate marketing can be a good way to earn money online if you have a lot of time and energy to spend on website setup and promotion. Affiliate marketers market the products of others in a number of ways. 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Brainstorm ideas that you think are rip riotously hilarious, then start putting them into action. Post them on YouTube, turn on ads and, if they work, watch the money start rolling in! Learn about marketing to see how you can get them even more popular. [http://www.comoganhardinheiro101.com/?p=71 como ganhar dinheiro] If you know how to prepare taxes, you can earn money online. Apply for the necessary government licenses and then begin offering your services online. Many of today's top producers work from home with only their laptop and an email address. For best results, continually advertise your services throughout the year.<br><br>Make extra money on the side with email marketing. This is a great way to promote a company and use the subscribers that you have to your advantage. You will simply send a message or advertise a product to your large pool of subscribers and get paid money to do so. 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If you enjoy writing, you should do research to look for companies that will pay you to write online.<br><br>Affiliate marketing can be a good way to earn money online if you have a lot of time and energy to spend on website setup and promotion. Affiliate marketers market the products of others in a number of ways. You can create a website and promote [~~http://www.comoganhardinheiro101.com/opcoes-binarias/ como conseguir dinheiro~~] it. Creating a blog or posting on the blogs of others in your niche is also an excellent way to share product information. Making smart use of social media and e mail marketing are also possibilities for successful affiliate marketing.<br><br>that's a lie. Don't fall prey to these types of websites and always read the reviews before joining. Talking to experts in their field can help you to use [http://www.comoganhardinheiro101.com/category/opcoes-binarias/ como ganhar dinheiro pela internet] the Internet successfully. Try to network with people who do what you want to do. Doing these things can help give you an advantage over your competition.<br><br>To really make money online, consider setting up your own site and having all the control. You could sell things as an affiliate or offer professional services, among many other things. While working for others can earn you a nice income, there's nothing like raking in all the profits and calling [http://www.comoganhardinheiro101.com/?p=14 ganhe dinheiro] all the shots yourself! As stated above, there are lots of ways to increase your online income. Use these suggestions to help you get started. You will be amazed at how quickly the money can add up. Come back to this page and others like it to continue growing your online work portfolio as you go.<br><br>		The '''CEV''' model describes a process which evolves according to the following [[stochastic differential equation]]:

	~~For more information about [http~~://~~ganhardinheiropelainternet~~.~~comoganhardinheiro101~~.~~com ganhe dinheiro] look at ganhardinheiropelainternet~~.~~comoganhardinheiro101~~.~~com Manage your time wisely when you are trying to make money online~~. ~~You may have~~ a ~~real-world job, which means you have~~ to ~~budget time wisely~~. ~~Set a schedule that~~ [http://~~www~~.~~comoganhardinheiro101~~.com ~~como ganhar dinheiro~~] ~~will allow you enough time to balance the two. Also make sure that you are being efficient in that time, so you don't run into stress~~ [http://www.~~comoganhardinheiro101~~.com/~~testemunhos~~/ ~~ganhe dinheiro] about working online~~. ~~Becoming a ghost writer is a great way to earn money online~~. ~~There are people who need content for their websites, but who lack good writing skills~~. ~~You can write for them~~ and ~~earn money for what you write. Many people are earning a good income writing for others this way~~.		:<math>dS_t=\mu S_t dt + \sigma S_t ^ \gamma dW_t</math>

			The constant parameters <math>\sigma,\;\gamma</math> satisfy the conditions <math>\sigma\geq 0,\;\gamma\geq 0</math>.

			The parameter <math>\gamma</math> controls the relationship between volatility and price, and is the central feature of the model. When <math>\gamma < 1</math> we see the so-called leverage effect, commonly observed in equity markets, where the volatility of a stock increases as its price falls. Conversely, in commodity markets, we often observe <math>\gamma > 1</math>, the so-called inverse leverage effect,<ref>Emanuel, D.C., and J.D. MacBeth, 1982. "Further Results of the Constant Elasticity of Variance Call Option Pricing Model." Journal of Financial and Quantitative Analysis, 4 : 533–553</ref><ref>Geman, H, and Shih, YF. 2009. "Modeling Commodity Prices under the CEV Model." The Journal of Alternative Investments 11 (3): 65–84. {{doi\|10.3905/JAI.2009.11.3.065}}</ref> whereby the volatility of the price of a commodity tends to increase as its price increases.

			==See also==
			*[[Volatility (finance)]]
			*[[Stochastic volatility]]
			*[[SABR volatility model]]

			==References==
			{{Reflist}}

			==External links==
			*[http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1850709 Asymptotic Approximations to CEV and SABR Models]
			*[http://www.serdarsen.somee.com/CEV.aspx Price and implied volatility under CEV model with closed formulas, Monte-Carlo and Finite Difference Method]
			*[http://www.delamotte-b.fr/CEV.aspx Price and implied volatility of European options in CEV Model] delamotte-b.fr


			{{Derivatives market}}
			{{Volatility}}
			{{Stochastic processes}}

			[[Category:Mathematical finance]]
			[[Category:Options (finance)]]
			[[Category:Derivatives (finance)]]
			[[Category:Finance theories]]

en>NotWith: Symplectic geometry

2012-03-15T20:18:56Z

Symplectic geometry

New page

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