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I have an option price and I know that the option expires in 35 days. I also
know that option prices decay exponentially; decay increases as time to expiration decreases. How can I estimate the exponential decay in the option price from the 35 day to the 34 day? Rather than use an option pricing model I'm simply looking for an Excel function that gives some sort of basic exponential decay value. Thanks for your help. |
#2
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Maybe...
Value today in C2 Number of days remaining in D2 Formula in E2: =POWER($C$2,1/$D$2)^(D2-1) With value today of 100 and 35 days remaining then value tomorrow is 87.67. If the above creates losses for you, please don't ask me for a bailout. <g -- Jim Cone Portland, Oregon USA "Box" wrote in message I have an option price and I know that the option expires in 35 days. I also know that option prices decay exponentially; decay increases as time to expiration decreases. How can I estimate the exponential decay in the option price from the 35 day to the 34 day? Rather than use an option pricing model I'm simply looking for an Excel function that gives some sort of basic exponential decay value. Thanks for your help. |
#3
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The straight line erosion would be 100/35 or 2.857 so this solution is
obviously wrong. The resulting erosion for day 35 should be less than 2.857 since erosion accelerates as expiration nears. "Jim Cone" wrote: Maybe... Value today in C2 Number of days remaining in D2 Formula in E2: =POWER($C$2,1/$D$2)^(D2-1) With value today of 100 and 35 days remaining then value tomorrow is 87.67. If the above creates losses for you, please don't ask me for a bailout. <g -- Jim Cone Portland, Oregon USA "Box" wrote in message I have an option price and I know that the option expires in 35 days. I also know that option prices decay exponentially; decay increases as time to expiration decreases. How can I estimate the exponential decay in the option price from the 35 day to the 34 day? Rather than use an option pricing model I'm simply looking for an Excel function that gives some sort of basic exponential decay value. Thanks for your help. |
#4
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Hi. I think it depends on what you want to use as a decay factor.
For example, if we start with 100, and expect a value of 0.01 after 35 days, then perhaps... k = LN(0.01/100)/35 then your equation is = 100*Exp(k*t) as t goes from time 0 to 35. If you assume an ending value of $1.00 after 35 days, then you get the same solution as Jim's. You are going to have to make some assumptions on the ending value for this options pricing model. = = = HTH :) Dana DeLouis Box wrote: I have an option price and I know that the option expires in 35 days. I also know that option prices decay exponentially; decay increases as time to expiration decreases. How can I estimate the exponential decay in the option price from the 35 day to the 34 day? Rather than use an option pricing model I'm simply looking for an Excel function that gives some sort of basic exponential decay value. Thanks for your help. |
#5
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Just reverse the calculation ...
(current value in C2) =$C$2-($C$2^(1/$D$2))^($D$2-D2+1) For a list of daily values until expiration, fill column D with the days remaining (35 to 1 descending) and then fill the above formula down adjacent to it. As Dana said, some adjustments may be necessary. -- Jim Cone Portland, Oregon USA "Box" wrote in message The straight line erosion would be 100/35 or 2.857 so this solution is obviously wrong. The resulting erosion for day 35 should be less than 2.857 since erosion accelerates as expiration nears. "Jim Cone" wrote: Maybe... Value today in C2 Number of days remaining in D2 Formula in E2: =POWER($C$2,1/$D$2)^(D2-1) With value today of 100 and 35 days remaining then value tomorrow is 87.67. If the above creates losses for you, please don't ask me for a bailout. <g -- Jim Cone Portland, Oregon USA "Box" wrote in message I have an option price and I know that the option expires in 35 days. I also know that option prices decay exponentially; decay increases as time to expiration decreases. How can I estimate the exponential decay in the option price from the 35 day to the 34 day? Rather than use an option pricing model I'm simply looking for an Excel function that gives some sort of basic exponential decay value. Thanks for your help. |
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