# How to Calculate the Volatility of the Spread in Options Trading

August 14, 2010 by admin

Filed under Option Trading

In order to be able to calculate the volatileness of propagaciÃ ³ n, we must equal volatilenesses of the options individuales.& #13; First of all, we are going to move of June of calls being moved the implÃcita volatileness of June by 40 to 36, one disminuciÃ ³ n of four garrapatas volatileness. Four volatileness of the garrapatas, multiplied by a fertile valley of. 05 by tick give a value us of $. 20. To continuaciÃ ³ n we reduced $. 20 of June the present value of 70 opciÃ ³ n of $ 2. 00 and obtains a 36 value of $ 1. 80 to volatileness. Now the two options are evaluated in a base volatileness igual.& #13; As far as this first adjustment in which trasladÃ ³ the 70 of June of volatileness up to 36 from 40, we have a value of $ 1. 80 to 36 volatileness. 40 August call volatileness has a value of $ 3. 00 to 36. Therefore propagaciÃ ³ n valdrÃ$ 1. 20 to 36 volatilidad.& #13; If you want to move August 70, solicits that, you tomarÃa the fertile valley August of call of 70. 08 and multiply by four the difference of implÃcita volatileness of garrapatas.& #13; This gives a value him of $. 32 that must be aÃ±adir to the present value of August of 70 calls with the purpose of to take it until an equal volatileness (40) with 70 June of call. To add $. 32 to 70 of August of call give to 3 dÃ ³ him lares. Value of 32 in the level of volatileness of the new ones of 40 that is the same level of volatileness that June 40 llamadas.& #13; Now, ours expansiÃ ³ n is a value of $ 1. 32 to 40 volatileness. August 70 calls of $ 3. 32 except 70 June to two the calls of dÃ ³ lares. 00 to fix the price of propagaciÃ ³ n to 40 volatilidad.& #13; ³ n does not make any difference of opciÃ that to move. The point is to establish the same level of volatileness for both options. Then already estÃready to compare apples with apples and the options to the options for a value of propagaciÃ exact ³ n and level of volatilidad.& #13; Since now we have an equal base of volatileness, we can calculate propagaciÃ ³ n of fertile valley taking the difference between opciÃ ³ n from two fertile valleys individual. In the previous example, propagaciÃ ³ n fertile valley is. 03 (. 08 -. 05). The fertile valley of propagaciÃ ³ n calculates finding the difference between those of the fertile valley of the two individual options, because in the time of propagaciÃ ³ n, that pasarÃlong time one opciÃ ³ n and cuts the other opciÃ ³ n.& #13; As volatileness moves a garrapata, you ganarÃthe value of fertile valley one of the options at the same time of losing the value fertile valley of the other. Therefore propagaciÃ ³ n of fertile valley must be equal to the difference between the fertile valley of two options. Therefore, ours expansiÃ ³ n is a value of $ 1. 20 to 36 with a volatileness. 03 fertile valley or $ 1. 32 to 40 with a volatileness. 03 vega.& #13; Returning to our value difusiÃ original ³ n of $ 1. 00 with a fertile valley from. 03, now we can calculate the volatileness of which propagan.& #13; We know the difference is a value of $ 1. 20 to 36 of volatileness with a fertile valley of. 03. Therefore, we can suppose that the commerce of difusiÃ ³ n from $ 1. 00 deberÃto develop a commercial activity in a volatileness smaller than 36.& #13; In order to know cuÃnto mÃs under is in the first place to take care of the difference both enters values extended and that is of $. 20 ($ 1. 20 to 36 volatileness less $ 1. 00 a? Volatileness). Soon we divided $. 20 by fertile valley propagaciÃ ³ n of. 03 and we obtain 6. 667 garrapatas volatileness. To continuaciÃ ³ n, to reduce 6. 667 garrapatas volatileness of the volatileness of 36 and we have 29. 33 of volatileness for the commerce of difusiÃ ³ n from $ 1. 00.& #13; TambiÃ©n can determine the volatileness of propagaciÃ ³ n like changes of prices of propagaciÃ ³ n. We are going to fix the price of difusiÃ ³ n from $ 1. 30. In order to calculate this, first we must have the value of propagaciÃ ³ n ($ 1. 20 to 36 volatileness) and of finding the difference in dÃ ³ lares between Ã©ste and the new price of propagaciÃ ³ n ($ 1. 30). The difference is of $. 10. This difference in dÃ ³ lares now is divided by the fertile valley of the differential. $. 10 divided by the difference. 03 fertile valley gives to a value of 3. 33 garrapatas volatileness him. Soon one adds the 3. 33 garrapatas to the volatileness of 36 and propagaciÃ is obtained 39. 33 like the volatileness of the interchanges ³ n from $ 1. 30.& #13; Double-Go to verify our work by means of cÃlculo of the volatileness of the other manera.& #13; This time we are going to do cÃlculo moving the August 70 calls to the volatileness of the base of the June equality 70 calls. SegÃºn the calculated thing previously, the August 70 calls tendrÃa value of $ 3. 32 to 40 volatilidad.& #13; The June 70 two calls are worth dÃ ³ lares. 00 to 40 volatileness. AsÃ, the difference is a value of $ 1. 32 to 40 volatilidad.& #13; Now we are going to move the new price extendiÃ ³ to $ 1. 30, $. 02 mÃlow s that the value of propagaciÃ ³ n to 40 volatileness. Like before, we took the difference in the prices from propagaciÃ ³ n. The result is $. 02 ($ 1. 32 – $ 1. 30). Then, it divides $. 02 by fertile valley ours expansiÃ ³ n of. 03 (it remembers that the fertile valley of propagaciÃ ³ n is equal to the difference between the fertile valley of the two individual options). $. 02 divided by. 03 give a value us of. 67. That. 67 the volatileness of our base of 40 is due to remain. That gives 39 us. 33 (40 -. 67) the volatileness of the interchanges propagaciÃ ³ n from $ 1. 30. This volatileness responds ours cÃlculo previous to perfecciÃ ³ n.& #13; Perhaps at first sight, it is asked for quÃ© we went to travÃ©s of all these cÃlculos. With the June 70 calls to 40 volatileness, the two price of dÃ ³ lares. 00, fertile valley. 05 and 70 of August to the 36 calls of volatileness, the three price of dÃ ³ lares. 00, fertile valley. 08 Âby quÃ© not to have an average of volatileness? This us darÃa a volatileness 38 for difusiÃ ³ n with a price of $ 1. 00 when in fact $ 1. 00 in extensiÃ ³ n represent 29. 33 volatilidad.& #13; This serÃa almost nine by garrapatas ones difference that represents a friolera error of 30%! Because, as it were said previously, Fertile valley is not linear, every month of way cannot be weighed uniforms and finishes both taking an average from months. By the love of argument to suppose it did that it. We say that you find the difference of fertile valleys of the options and came above for with one propagaciÃ ³ n of the fertile valley. 03 that is the correct one. Nevertheless, when ³ n tries to calculate the volatileness of propagaciÃ and the price that tendrÃan dificultades.& #13; Now, ³ n with the price of cotizaciÃ returns to calculate propagaciÃ ³ n of $ 1. 30, or $. 30 mÃhigh s that its value in 38 volatileness. It divides that $. 30 fertile valley differentiates superior in difusiÃ ³ n from. 03. You obtain an increase of 10 by garrapatas volatileness. AÃ±ade that increases to base 38 volatileness. That means that you feel propagaciÃ ³ n negotiates to 48 volatileness instead of 39. 33 volatileness! This type of error podrÃa to be very, very expensive. It remembers, apples with apples, oranges with oranges. It does not matter that volatileness opciÃ ³ n of propagaciÃ ³ n to move the time as both options for a volatileness of the equality base.

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